diff --git a/CHANGELOG b/CHANGELOG index 3580079..4f70398 100644 --- a/CHANGELOG +++ b/CHANGELOG @@ -1,4 +1,9 @@ +0.7, in progress: + + * LLVM tutorial ported (Max Shawabkeh) (Issue #33). + + 0.6, 31-Aug-2010: * Add and remove function attributes (Krzysztof Goj) (Issue #21). diff --git a/setup.py b/setup.py index 6d0797a..33228cd 100755 --- a/setup.py +++ b/setup.py @@ -32,7 +32,7 @@ import sys, os from distutils.core import setup, Extension -LLVM_PY_VERSION = '0.6' +LLVM_PY_VERSION = '0.7' def _run(cmd): @@ -106,8 +106,8 @@ def call_setup(llvm_config): version=LLVM_PY_VERSION, description='Python Bindings for LLVM', author='Mahadevan R', - author_email='mdevan.foobar@gmail.com', - url='http://mdevan.nfshost.com/llvm-py/', + author_email='mdevan@mdevan.org', + url='http://www.mdevan.org/llvm-py/', packages=['llvm'], py_modules = [ 'llvm.core' ], ext_modules = [ ext_core ],) diff --git a/www/src/examples.txt b/www/src/examples.txt index b050b18..6ae5d79 100644 --- a/www/src/examples.txt +++ b/www/src/examples.txt @@ -9,27 +9,25 @@ include::example.inc[] LLVM Tutorials -------------- -The http://www.llvm.org/docs/tutorial/[LLVM tutorials] have been -ported to llvm-py. Below are the links to the original LLVM tutorial and -the corresponding Python code using llvm-py: - .Simple JIT Tutorials -(contributed by Sebastien Binet) -1. A First Function - http://www.llvm.org/docs/tutorial/JITTutorial1.html[LLVM] - link:examples/JITTutorial1.html[llvm-py] -2. A More Complicated Function - http://www.llvm.org/docs/tutorial/JITTutorial2.html[LLVM] - link:examples/JITTutorial2.html[llvm-py] +The following JIT tutorials were contributed by Sebastien Binet. + +1. link:examples/JITTutorial1.html[A First Function] +2. link:examples/JITTutorial2.html[A More Complicated Function] +[[kaleidoscope]] .Kaleidoscope: Implementing a Language with LLVM -1. Tutorial Introduction and the Lexer (TODO) -2. Implementing a Parser and AST (TODO) -3. Implementing Code Generation to LLVM IR (TODO) -4. Adding JIT and Optimizer Support (TODO) -5. Extending the language: control flow (TODO) -6. Extending the language: user-defined operators (TODO) -7. Extending the language: mutable variables / SSA construction (TODO) -8. Conclusion and other useful LLVM tidbits (TODO) + +The LLVM http://www.llvm.org/docs/tutorial/[Kaleidoscope] tutorial +has been ported to llvm-py by Max Shawabkeh. + +1. link:kaleidoscope/PythonLangImpl1.html[Tutorial Introduction and the Lexer] +2. link:kaleidoscope/PythonLangImpl2.html[Implementing a Parser and AST] +3. link:kaleidoscope/PythonLangImpl3.html[Implementing Code Generation to LLVM IR] +4. link:kaleidoscope/PythonLangImpl4.html[Adding JIT and Optimizer Support] +5. link:kaleidoscope/PythonLangImpl5.html[Extending the language: control flow] +6. link:kaleidoscope/PythonLangImpl6.html[Extending the language: user-defined operators] +7. link:kaleidoscope/PythonLangImpl7.html[Extending the language: mutable variables / SSA construction] +8. link:kaleidoscope/PythonLangImpl8.html[Conclusion and other useful LLVM tidbits] diff --git a/www/src/index.txt b/www/src/index.txt index 21da732..6261d7e 100644 --- a/www/src/index.txt +++ b/www/src/index.txt @@ -18,6 +18,9 @@ a patch. News ---- +26-Sep-2010:: + LLVM tutorial link:examples.html#kaleidoscope[ported] by Max Shawabkeh! + 31-Aug-2010:: 0.6 released, works with LLVM 2.7. diff --git a/www/src/kaleidoscope/PythonLangImpl1.html b/www/src/kaleidoscope/PythonLangImpl1.html new file mode 100644 index 0000000..488ff4c --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl1.html @@ -0,0 +1,389 @@ + + + + + Kaleidoscope: Tutorial Introduction and the Lexer + + + + + + + + +
Kaleidoscope: Tutorial Introduction and the Lexer
+ + + +
+

+ Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Tutorial Introduction
+ + +
+ +

+Welcome to the "Implementing a language with LLVM" tutorial. This tutorial +runs through the implementation of a simple language, showing how fun and +easy it can be. This tutorial will get you up and started as well as help to +build a framework you can extend to other languages. The code in this tutorial +can also be used as a playground to hack on other LLVM specific things. +

+ +

The goal of this tutorial is to progressively unveil our language, describing +how it is built up over time. This will let us cover a fairly broad range of +language design and LLVM-specific usage issues, showing and explaining the code +for it all along the way, without overwhelming you with tons of details up +front.

+ +

It is useful to point out ahead of time that this tutorial is really about +teaching compiler techniques and LLVM specifically, not about teaching +modern and sane software engineering principles. In practice, this means that +we'll take a number of shortcuts to simplify the exposition. If you dig in and +use the code as a basis for future projects, fixing its deficiencies shouldn't +be hard.

+ +

We've tried to put this tutorial together in a way that makes chapters easy +to skip over if you are already familiar with or are uninterested in the various +pieces. The structure of the tutorial is:

+ + + +

By the end of the tutorial, we'll have written a bit less than 540 lines of +non-comment, non-blank, lines of code. With this small amount of code, we'll +have built up a very reasonable compiler for a non-trivial language including +a hand-written lexer, parser, AST, as well as code generation support with a JIT +compiler. While other systems may have interesting "hello world" tutorials, +I think the breadth of this tutorial is a great testament to the strengths of +LLVM and why you should consider it if you're interested in language or compiler +design.

+ +

A note about this tutorial: we expect you to extend the language and play +with it on your own. Take the code and go crazy hacking away at it, compilers +don't need to be scary creatures - it can be a lot of fun to play with +languages!

+ +
+ + +
The Basic Language
+ + +
+ +

This tutorial will be illustrated with a toy language that we'll call +"Kaleidoscope" (derived +from "meaning beautiful, form, and view"). +Kaleidoscope is a procedural language that allows you to define functions, use +conditionals, math, etc. Over the course of the tutorial, we'll extend +Kaleidoscope to support the if/then/else construct, a for loop, user defined +operators, JIT compilation with a simple command line interface, etc.

+ +

Because we want to keep things simple, the only datatype in Kaleidoscope is a +64-bit floating point type. As such, all values are implicitly double precision +and the language doesn't require type declarations. This gives the language a +very nice and simple syntax. For example, the following simple example computes +Fibonacci numbers: +

+ +
+
+# Compute the x'th fibonacci number.
+def fib(x)
+  if x < 3 then
+    1
+  else
+    fib(x-1)+fib(x-2)
+
+# This expression will compute the 40th number.
+fib(40)
+
+
+ +

We also allow Kaleidoscope to call into standard library functions (the LLVM +JIT makes this completely trivial). This means that you can use the 'extern' +keyword to define a function before you use it (this is also useful for mutually +recursive functions). For example:

+ +
+
+extern sin(arg);
+extern cos(arg);
+extern atan2(arg1 arg2);
+
+atan2(sin(0.4), cos(42))
+
+
+ +

A more interesting example is included in Chapter 6 where we write a little +Kaleidoscope application that displays +a Mandelbrot Set at various levels of magnification.

+ +

Lets dive into the implementation of this language!

+ +
+ + +
The Lexer
+ + +
+ +

When it comes to implementing a language, the first thing needed is +the ability to process a text file and recognize what it says. The traditional +way to do this is to use a "lexer" (aka 'scanner') +to break the input up into "tokens". Each token returned by the lexer includes +a token type and potentially some metadata (e.g. the numeric value of a number). +First, we define the possibilities:

+ +
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+
+ +

Each token yielded by our lexer will be of one of the above types. For simple +tokens that are always the same, like the "def" keyword, the lexer will yield +DefToken(). Identifiers, numbers and characters, on the other +hand, have extra data, so when the lexer encounteres the number 123.45, it will +emit it as NumberToken(123.45). An identifier foo will be +emitted as IdentifierToken('foo'). And finally, an unknown character +like '+' will be returned as CharacterToken('+'). You may notice that +we overload the equality and inequality operators for the characters; this will +later simplify character comparisons in the parser code.

+ +

The actual implementation of the lexer is a single function called +Tokenize, which takes a string and +yields +tokens. For simplicity, we will use +regular +expressions to parse out the tokens. This is terribly inefficient, but +perfectly sufficient for our needs.

+ +

First, we define the regular expressions for our tokens. Numbers and strings +of digits, optionally followed by a period and another string of digits. +Identifiers (and keywords) are alphanumeric string starting with a letter and +comments are anything between a hash (#) and the end of the line. + +

+
+import re
+
+...
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+
+ +

+Next, let's start defining the Tokenize function itself. The first +thing we need to do is set up a loop that scans the string, while ignoring +whitespace between tokens:

+ +
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    ...
+
+
+ +

Next we want to find out what the next token is. For this we run the regexes +we defined above on the remainder of the string. To simplify the rest of the +code, we run all three regexes each time. As mentioned above, inefficiencies are +ignored for the purpose of this tutorial:

+ +

+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+
+ +

Now se check if any of the regexes matched. For comments, we simply +ignore the captured match:

+ +
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+
+
+ +

For numbers, we yield the captured match, converted to a float and tagged +with the appropriate token type:

+ +
+
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+
+
+ +

The identifier case is a little more complex. We have to check for keywords +to decide whether we have captured an identifier or a keyword:

+ +
+
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+
+
+ +

Finally, if we haven't recognized a comment, a number of an identifier, we +yield the current character as an "unknown character" token. This is used, for +example, for operators like + or *:

+ +
+
+    else:
+      # Yield the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+
+ +

Once we're done with the +loop, we return a final end-of-file token:

+ +
+
+  yield EOFToken()
+
+
+ +

With this, we have the complete lexer for the basic Kaleidoscope language +(the full code listing for the Lexer is +available in the next chapter of the +tutorial). Next we'll build a simple parser that +uses this to build an Abstract Syntax Tree. When we have that, we'll +include a driver so that you can use the lexer and parser together. +

+ +Next: Implementing a Parser and AST +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl2.html b/www/src/kaleidoscope/PythonLangImpl2.html new file mode 100644 index 0000000..c1c1605 --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl2.html @@ -0,0 +1,1097 @@ + + + + + Kaleidoscope: Implementing a Parser and AST + + + + + + + + +
Kaleidoscope: Implementing a Parser and AST
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Chapter 2 Introduction
+ + +
+ +

Welcome to Chapter 2 of the +"Implementing a language +with LLVM" tutorial. This chapter shows you how to use the lexer, built in +Chapter 1, to build a full parser for +our Kaleidoscope language. Once we have a parser, we'll define and build an Abstract Syntax +Tree (AST).

+ +

The parser we will build uses a combination of Recursive Descent +Parsing and Operator-Precedence +Parsing to parse the Kaleidoscope language (the latter for +binary expressions and the former for everything else). Before we get to +parsing though, lets talk about the output of the parser: the Abstract Syntax +Tree.

+ +
+ + +
The Abstract Syntax Tree (AST)
+ + +
+ +

The AST for a program captures its behavior in such a way that it is easy for +later stages of the compiler (e.g. code generation) to interpret. We basically +want one object for each construct in the language, and the AST should closely +model the language. In Kaleidoscope, we have expressions, a prototype, and a +function object. We'll start with expressions first:

+ +
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+  def __init__(self, value):
+    self.value = value
+
+
+ +

The code above shows the definition of the base ExpressionNode class and one +subclass which we use for numeric literals. The important thing to note about +this code is that the NumberExpressionNode class captures the numeric value of +the literal as an instance variable. This allows later phases of the compiler to +know what the stored numeric value is.

+ +

Right now we only create the AST, so there are no useful methods on them. +It would be very easy to add a virtual method to pretty print the code, for +example. Here are the other expression AST node definitions that we'll use +in the basic form of the Kaleidoscope language: +

+ +
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+  def __init__(self, name):
+    self.name = name
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+
+ +

This is all (intentionally) rather straight-forward: variables capture the +variable name, binary operators capture their opcode (e.g. '+'), and calls +capture a function name as well as a list of any argument expressions. One thing +that is nice about our AST is that it captures the language features without +talking about the syntax of the language. Note that there is no discussion about +precedence of binary operators, lexical structure, etc.

+ +

For our basic language, these are all of the expression nodes we'll define. +Because it doesn't have conditional control flow, it isn't Turing-complete; +we'll fix that in a later installment. The two things we need next are a way +to talk about the interface to a function, and a way to talk about functions +themselves:

+ +
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+
+ +

In Kaleidoscope, functions are typed with just a count of their arguments. +Since all values are double precision floating point, the type of each argument +doesn't need to be stored anywhere. In a more aggressive and realistic +language, the ExpressionNode class would probably have a type field. +

+ +

With this scaffolding, we can now talk about parsing expressions and function +bodies in Kaleidoscope.

+ +
+ + +
Parser Basics
+ + +
+ +

Now that we have an AST to build, we need to define the parser code to build +it. The idea here is that we want to parse something like "x+y" (which +is returned as three tokens by the lexer) into an AST that could be generated +with calls like this:

+ +
+
+  x = VariableExpressionNode('x')
+  y = VariableExpressionNode('y')
+  result = BinaryOperatorExpressionNode('+', x, y)
+
+
+ +

In order to do this, we'll start by defining a lightweight Parser +class with some basic helper routines:

+ +
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+
+ +

+This implements a simple token buffer around the lexer. This allows +us to look one token ahead at what the lexer is returning. Every function in +our parser will assume that self.current is the current token that +needs to be parsed. Note that the first token is read as soon as the parser is +instantiated. Let us ignore the binop_precedence parameter for now. It +will be explained when we start parsing binary +operators.

+ +

With these basic helper functions, we can implement the first +piece of our grammar: numeric literals.

+ +
+ + +
Basic Expression + Parsing
+ + +
+ +

We start with numeric literals, because they are the simplest to process. +For each production in our grammar, we'll define a function which parses that +production. For numeric literals, we have: +

+ +
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+
+ +

This method is very simple: it expects to be called when the current token +is a NumberToken. It takes the current number value, creates a +NumberExpressionNode, advances to the next token, and finally returns. +

+ +

There are some interesting aspects to this. The most important one is that +this routine eats all of the tokens that correspond to the production and +returns the lexer buffer with the next token (which is not part of the grammar +production) ready to go. This is a fairly standard way to go for recursive +descent parsers. For a better example, the parenthesis operator is defined like +this:

+ +
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+
+ +

This function illustrates an interesting aspect of the parser. The function +uses recursion by calling ParseExpression (we will soon see that +ParseExpression can call ParseParenExpr). This is powerful +because it allows us to handle recursive grammars, and keeps each production +very simple. Note that parentheses do not cause construction of AST nodes +themselves. While we could do it this way, the most important role of +parentheses are to guide the parser and provide grouping. Once the parser +constructs the AST, parentheses are not needed.

+ +

The next simple production is for handling variable references and function +calls:

+ +
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name);
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+
+ +

This routine follows the same style as the other routines. It expects to be +called if the current token is an IdentifierToken. It also has +recursion and error handling. One interesting aspect of this is that it uses +look-ahead to determine if the current identifier is a stand alone +variable reference or if it is a function call expression. It handles this by +checking to see if the token after the identifier is a '(' token, constructing +either a VariableExpressionNode or CallExpressionNode as +appropriate.

+ +

Now that we have all of our simple expression-parsing logic in place, we can +define a helper function to wrap it together into one entry point. We call this +class of expressions "primary" expressions, for reasons that will become more +clear later in the tutorial. In order +to parse an arbitrary primary expression, we need to determine what sort of +expression it is:

+ +
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr();
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+
+ +

Now that you see the definition of this function, it is more obvious why we +can assume the state of Parser.current in the various functions. This +uses look-ahead to determine which sort of expression is being inspected, and +then parses it with a function call.

+ +

Now that basic expressions are handled, we need to handle binary expressions. +They are a bit more complex.

+ +
+ + +
Binary Expression + Parsing
+ + +
+ +

Binary expressions are significantly harder to parse because they are often +ambiguous. For example, when given the string "x+y*z", the parser can choose +to parse it as either "(x+y)*z" or "x+(y*z)". With common definitions from +mathematics, we expect the later parse, because "*" (multiplication) has +higher precedence than "+" (addition).

+ +

There are many ways to handle this, but an elegant and efficient way is to +use Operator-Precedence +Parsing. This parsing technique uses the precedence of binary operators to +guide recursion. To start with, we need a table of precedences. Remember the +binop_precedence parameter we passed to the Parser +constructor? Now is the time to use it:

+ +
+
+def main():
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+
+    ...
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+
+
+ +

For the basic form of Kaleidoscope, we will only support 4 binary operators +(this can obviously be extended by you, our brave and intrepid reader). Having a +dictionary makes it easy to add new operators and makes it clear that the +algorithm doesn't depend on the specific operators involved, but it would be +easy enough to eliminate the map and hardcode the comparisons.

+ +

We also define a helper function to get the precedence of the current token, +or -1 if the token is not a binary operator: +

+ +
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+
+ +

With the helper above defined, we can now start parsing binary expressions. +The basic idea of operator precedence parsing is to break down an expression +with potentially ambiguous binary operators into pieces. Consider, for example, +the expression "a+b+(c+d)*e*f+g". Operator precedence parsing considers this +as a stream of primary expressions separated by binary operators. As such, +it will first parse the leading primary expression "a", then it will see the +pairs [+, b] [+, (c+d)] [*, e] [*, f] and [+, g]. Note that because parentheses +are primary expressions, the binary expression parser doesn't need to worry +about nested subexpressions like (c+d) at all. +

+ +

+To start, an expression is a primary expression potentially followed by a +sequence of [binop,primaryexpr] pairs:

+ +
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+
+ +

ParseBinOpRHS is the function that parses the sequence of pairs for +us. It takes a precedence and a pointer to an expression for the part that has +been parsed so far. Note that "x" is a perfectly valid expression: As such, +"binoprhs" is allowed to be empty, in which case it returns the expression that +is passed into it. In our example above, the code passes the expression for "a" +into ParseBinOpRHS and the current token is "+".

+ +

The precedence value passed into ParseBinOpRHS indicates the +minimal operator precedence that the function is allowed to eat. For +example, if the current pair stream is [+, x] and ParseBinOpRHS is +passed in a precedence of 40, it will not consume any tokens (because the +precedence of '+' is only 20). With this in mind, ParseBinOpRHS starts +with:

+ +
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+
+ +

This code gets the precedence of the current token and checks to see if if is +too low. Because we defined invalid tokens to have a precedence of -1, this +check implicitly knows that the pair-stream ends when the token stream runs out +of binary operators. If this check succeeds, we know that the token is a binary +operator and that it will be included in this expression:

+ +
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+
+ +

As such, this code eats (and remembers) the binary operator and then parses +the primary expression that follows. This builds up the whole pair, the first of +which is [+, b] for the running example.

+ +

Now that we parsed the left-hand side of an expression and one pair of the +RHS sequence, we have to decide which way the expression associates. In +particular, we could have "(a+b) binop unparsed" or "a + (b binop unparsed)". +To determine this, we look ahead at "binop" to determine its precedence and +compare it to BinOp's precedence (which is '+' in this case):

+ +
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+
+
+ +

If the precedence of the binop to the right of "RHS" is lower or equal to the +precedence of our current operator, then we know that the parentheses associate +as "(a+b) binop ...". In our example, the current operator is "+" and the next +operator is "+", we know that they have the same precedence. In this case we'll +create the AST node for "a+b", and then continue parsing:

+ +
+
+      if precedence < next_precedence:
+        ... if body omitted ...
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right);
+
+
+ +

In our example above, this will turn "a+b+" into "(a+b)" and execute the next +iteration of the loop, with "+" as the current token. The code above will eat, +remember, and parse "(c+d)" as the primary expression, which makes the +current pair equal to [+, (c+d)]. It will then evaluate the 'if' conditional +above with "*" as the binop to the right of the primary. In this case, the +precedence of "*" is higher than the precedence of "+" so the if condition will +be entered.

+ +

The critical question left here is "how can the if condition parse the right +hand side in full"? In particular, to build the AST correctly for our example, +it needs to get all of "(c+d)*e*f" as the RHS expression variable. The code to +do this is surprisingly simple (code from the above two blocks duplicated for +context):

+ +
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+
+ +

At this point, we know that the binary operator to the RHS of our primary +has higher precedence than the binop we are currently parsing. As such, we know +that any sequence of pairs whose operators are all higher precedence than "+" +should be parsed together and returned as "RHS". To do this, we recursively +invoke the ParseBinOpRHS function specifying "precedence + 1" as the +minimum precedence required for it to continue. In our example above, this +will cause it to return the AST node for "(c+d)*e*f" as RHS, which is then set +as the RHS of the '+' expression.

+ +

Finally, on the next iteration of the while loop, the "+g" piece is parsed +and added to the AST. With this little bit of code (11 non-trivial lines), we +correctly handle fully general binary expression parsing in a very elegant way. +This was a whirlwind tour of this code, and it is somewhat subtle. I recommend +running through it with a few tough examples to see how it works. +

+ +

This wraps up handling of expressions. At this point, we can point the +parser at an arbitrary token stream and build an expression from it, stopping +at the first token that is not part of the expression. Next up we need to +handle function definitions, etc.

+ +
+ + +
Parsing the Rest
+ + +
+ +

+The next thing missing is handling of function prototypes. In Kaleidoscope, +these are used both for 'extern' function declarations as well as function body +definitions. The code to do this is straight-forward and not very interesting +(once you've survived expressions): +

+ +
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+
+ +

Given this, a function definition is very simple, just a prototype plus +an expression to implement the body:

+ +
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+
+ +

In addition, we support 'extern' to declare functions like 'sin' and 'cos' as +well as to support forward declaration of user functions. These 'extern's are +just prototypes with no body:

+ +
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+
+ +

Finally, we'll also let the user type in arbitrary top-level expressions and +evaluate them on the fly. We will handle this by defining anonymous nullary +(zero argument) functions for them:

+ +
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+
+ +

Now that we have all the pieces, let's build a little driver that will let us +actually execute this code we've built!

+ +
+ + +
The Driver
+ + +
+ +

The driver for this simply invokes all of the parsing pieces with a top-level +dispatch loop. There isn't much interesting here, so I'll just include the +top-level loop. See below for full code.

+ +
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      return
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+
+ +

Here we create a new Parser for each line read, and try to parse out +all the expressions, declarations and definitions in the line. We also allow the +user to quit using Ctrl+C.

+ +
+ + +
Conclusions
+ + +
+ +

With just under 330 lines of commented code (200 lines of non-comment, +non-blank code), we fully defined our minimal language, including a lexer, +parser, and AST builder. With this done, the executable will validate +Kaleidoscope code and tell us if it is grammatically invalid. For +example, here is a sample interaction:

+ +
+
+$ python kaleidoscope.py
+ready> def foo(x y) x+foo(y, 4.0)
+Parsed a function definition.
+ready> def foo(x y) x+y y
+Parsed a function definition.
+Parsed a top-level expression.
+ready> def foo(x y) x+y )
+Parsed a function definition.
+Error: Unknown token when expecting an expression.
+ready> extern sin(a);
+Parsed an extern.
+ready> ^C
+$
+
+
+ +

There is a lot of room for extension here. You can define new AST nodes, +extend the language in many ways, etc. In the +next installment, we will describe how to +generate LLVM Intermediate Representation (IR) from the AST.

+ +
+ + +
Full Code Listing
+ + +
+ +

+Here is the complete code listing for this and the previous chapter. +Note that it is fully self-contained: you don't need LLVM or any external +libraries at all for this.

+ +
+
+#!/usr/bin/env python
+
+import re
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+  def __init__(self, value):
+    self.value = value
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+  def __init__(self, name):
+    self.name = name
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Parsed a function definition.')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Parsed an extern.')
+
+  def HandleTopLevelExpression(self):
+    self.Handle(self.ParseTopLevelExpr, 'Parsed a top-level expression.')
+
+  def Handle(self, function, message):
+    try:
+      function()
+      print message
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      return
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Implementing Code Generation to LLVM IR +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl3.html b/www/src/kaleidoscope/PythonLangImpl3.html new file mode 100644 index 0000000..13a7fb3 --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl3.html @@ -0,0 +1,1119 @@ + + + + + Kaleidoscope: Implementing code generation to LLVM IR + + + + + + + + +
Kaleidoscope: Code generation to LLVM IR
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Chapter 3 Introduction
+ + +
+ +

Welcome to Chapter 3 of the +"Implementing a language +with LLVM" tutorial. This chapter shows you how to transform the Abstract Syntax Tree, built in Chapter 2, into +LLVM IR. This will teach you a little bit about how LLVM does things, as well as +demonstrate how easy it is to use. It's much more work to build a lexer and +parser than it is to generate LLVM IR code. :) +

+ +

Please note: the code in this chapter and later requires llvm-py 0.6 +and LLVM 2.7. Earlier versions will most likely not work with it. Also note +that you need to use a version of this tutorial that matches your llvm-py +release: If you are using an official llvm-py release, use the version of the +documentation on the +llvm-py examples page. +

+ +
+ + +
Code Generation Setup
+ + +
+ +

+In order to generate LLVM IR, we want some simple setup to get started. First +we define code generation methods in each AST node class:

+ +
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    ...
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    ...
+
+...
+
+
+ +

The CodeGen method says to emit IR for that AST node along with all +the things it depends on, and they all return an LLVM Value object. "Value" is +the class used to represent a "Static Single +Assignment (SSA) register" or "SSA value" in LLVM. The most distinct aspect +of SSA values is that their value is computed as the related instruction +executes, and it does not get a new value until (and if) the instruction +re-executes. In other words, there is no way to "change" an SSA value. For +more information, please read up on Static Single +Assignment - the concepts are really quite natural once you grok them.

+ +

We will also need to define some global variables which we will be used +during code generation:

+ +
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+
+ +

g_llvm_module is the LLVM construct that contains all of the +functions and global variables in a chunk of code. In many ways, it is the +top-level structure that the LLVM IR uses to contain code.

+ +

g_llvm_builder is a helper object that makes it easy to generate +LLVM instructions. Instances of the +llvm.core.Builder class keep track of the current place to insert +instructions and have methods to create new instructions. Note that we do not +initialize this variable; instead, it will be initialized whenever we start +generating code for a function.

+ +

Finally, g_named_values is a dictionary that keeps track of which +values are defined in the current scope and what their LLVM representation is. +In other words, it is a symbol table for the code. In this form of +Kaleidoscope, the only things that can be referenced are function parameters. +As such, function parameters will be in this map when generating code for their +function body.

+ +

+With these basics in place, we can start talking about how to generate code for +each expression. Note that this assumes that g_llvm_builder has been +set up to generate code into something. For now, we'll assume that +this has already been done, and we'll just use it to emit code. +

+ +
+ + +
Expression Code Generation
+ + +
+ +

Generating LLVM code for expression nodes is very straightforward: less +than 35 lines of commented code for all four of our expression nodes. First +we'll do numeric literals:

+ +
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+
+ +

In llvm-py, floating point numeric constants are represented with the +llvm.core.ConstantFP class. To create one, we can use the static +real() method in the llvm.core.Constant class. This code +basically just creates and returns a ConstantFP. Note that in the LLVM +IR constants are all uniqued together and shared. For this reason, we create +the constant through a factory method instead of instantiating one directly.

+ +
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+
+ +

References to variables are also quite simple using LLVM. In the simple +version of Kaleidoscope, we assume that the variable has already been emitted +somewhere and its value is available. In practice, the only values that can be +in the g_named_values dictionary are function arguments. This code +simply checks to see that the specified name is in the map (if not, an unknown +variable is being referenced) and returns the value for it. In future chapters, +we'll add support for loop induction +variables in the symbol table, and for local variables.

+ +
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+
+ +

Binary operators start to get more interesting. The basic idea here is that +we recursively emit code for the left-hand side of the expression, then the +right-hand side, then we compute the result of the binary expression depending +on which operator is being used. +

+ +

In the example above, the LLVM builder class is starting to show its value. +g_llvm_builder knows where to insert the newly created instruction, all +you have to do is specify what instruction to create (e.g. with add), +which operands to use (left and right here) and optionally +provide a name for the generated instruction.

+ +

One nice thing about LLVM is that the name is just a hint. For instance, if +the code above emits multiple "addtmp" variables, LLVM will automatically +provide each one with an increasing, unique numeric suffix. Local value names +for instructions are purely optional, but it makes it much easier to read the +IR dumps.

+ +

LLVM instructions +are constrained by strict rules: for example, the Left and Right operators of +an add instruction +must have the same type, and the result type of the add must match the operand +types. Because all values in Kaleidoscope are doubles, this makes for very +simple code for add, sub and mul.

+ +

On the other hand, LLVM specifies that the fcmp instruction always +returns an 'i1' value (a one bit integer). The problem with this is that +Kaleidoscope wants the value to be a 0.0 or 1.0 value. In order to get these +semantics, we combine the fcmp instruction with a +uitofp instruction. +This instruction converts its input integer into a floating point value by +treating the input as an unsigned value. In contrast, if we used the sitofp instruction, +the Kaleidoscope '<' operator would return 0.0 and -1.0, depending on the +input value.

+ +
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+
+ +

Code generation for function calls is quite straightforward with LLVM. The +code above initially does a function name lookup in the LLVM Module's symbol +table. Recall that the LLVM Module is the container that holds all of the +functions we are JIT'ing. By giving each function the same name as what the +user specifies, we can use the LLVM symbol table to resolve function names for +us.

+ +

Once we have the function to call, we codegen each argument that is to be +passed in, and create an LLVM +call instruction. +Note that LLVM uses the native C calling conventions by default, allowing these +calls to also call into standard library functions like "sin" and "cos", with no +additional effort.

+ +

This wraps up our handling of the four basic expressions that we have so far +in Kaleidoscope. Feel free to go in and add some more. For example, by +browsing the LLVM language +reference you'll find several other interesting instructions that are really +easy to plug into our basic framework.

+ +
+ + +
Function Code Generation
+ + +
+ +

Code generation for prototypes and functions must handle a number of +details, which make their code less beautiful than expression code +generation, but allows us to illustrate some important points. First, let's +talk about code generation for prototypes: they are used both for function +bodies and external function declarations. The code starts with:

+ +
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+
+ +

The call to Type.function creates the FunctionType that +should be used for a given Prototype. Since all function arguments in +Kaleidoscope are of type double, the first line creates a list of "N" LLVM +double types. It then uses the Type.function method to create a +function type that takes "N" doubles as arguments, returns one double as a +result, and that is not vararg (the False parameter indicates this). Note that +Types in LLVM are uniqued just like Constants are, so you don't instantiate them +directly.

+ +

The final line above actually creates the function that the prototype will +correspond to. This indicates the type and name to use, as well as which +module to insert into. Note that by default, the function will have +"external linkage", +which means that the function may be defined outside the current module and/or +that it is callable by functions outside the module. The name passed in is the +name the user specified: since g_llvm_module is specified, this name +is registered in g_llvm_module's symbol table, which is used by the +function call code above.

+ +
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+
+ +

The Module symbol table works just like the Function symbol table when it +comes to name conflicts: if a new function is created with a name was previously +added to the symbol table, it will get implicitly renamed when added to the +Module. The code above exploits this fact to determine if there was a previous +definition of this function.

+ +

In Kaleidoscope, we choose to allow redefinitions of functions in two cases: +first, we want to allow 'extern'ing a function more than once, as long as the +prototypes for the externs match (since all arguments have the same type, we +just have to check that the number of arguments match). Second, we want to +allow 'extern'ing a function and then defining a body for it. This is useful +when defining mutually recursive functions.

+ +

In order to implement this, the code above first checks to see if there is +a collision on the name of the function. If so, it deletes the function we just +created (by calling delete) and then calling +get_function_named to get the existing function with the specified +name.

+ +
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If F took a different number of args, reject.
+      if len(callee.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+
+ +

In order to verify the logic above, we first check to see if the pre-existing +function is a forward declaration. Since we don't allow anything after a full +definition of the function, the code rejects this case. If the previous +reference to a function was an 'extern', we simply verify that the number of +arguments for that definition and this one match up. If not, we emit an error. +

+ +
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+
+ +

The last bit of code for prototypes loops over all of the arguments in the +function, setting the name of the LLVM Argument objects to match, and +registering the arguments in the g_named_values map for future use by +the VariableExpressionNode. Note that we don't check for conflicting +argument names here (e.g. "extern foo(a b a)"). Doing so would be very +straight-forward with the mechanics we have already used above. Once this is +all set up, it returns the Function object to the caller.

+ +
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+
+ +

Code generation for function definitions starts out simply enough: we just +clear out the g_named_values dictionary to make sure that there isn't +anything in it from the last function we compiled and codegen the prototype. +Code generation of the prototype ensures that there is an LLVM Function object +that is ready to go for us.

+ +
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+
+ +

Now we get to the point where g_llvm_builder is set up. The first +line creates a new basic +block (named "entry"), which is inserted into the function. The second line +declares that the global g_llvm_builder object is to be changed. The +last line creates a new builder that is set up to insert new instructions into +the basic block we just created. Basic blocks in LLVM are an important part +of functions that define the Control Flow Graph. +Since we don't have any control flow, our functions will only contain one +block at this point. We'll fix this in Chapter +5 :).

+ +
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+
+ +

Once the insertion point is set up, we call the CodeGen method for +the root expression of the function. If no error happens, this emits code to +compute the expression into the entry block and returns the value that was +computed. Assuming no error, we then create an LLVM ret instruction, which +completes the function. Once the function is built, we call verify, +which is provided by LLVM. This function does a variety of consistency checks +on the generated code, to determine if our compiler is doing everything right. +Using this is important: it can catch a lot of bugs. Once the function is +finished and validated, we return it.

+ +
+
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+ +

The only piece left here is handling of the error case. For simplicity, we +handle this by merely deleting the function we produced with the delete +method. This allows the user to redefine a function that they incorrectly typed +in before: if we didn't delete it, it would live in the symbol table, with a +body, preventing future redefinition.

+ +

This code does have a bug, though. Since the PrototypeNode::CodeGen +can return a previously defined forward declaration, our code can actually +delete a forward declaration. There are a number of ways to fix this bug; see +what you can come up with! Here is a testcase:

+ +
+
+extern foo(a b)     # ok, defines foo.
+def foo(a b) c      # error, 'c' is invalid.
+def bar() foo(1, 2) # error, unknown function "foo"
+
+
+ +
+ + +
Driver Changes and +Closing Thoughts
+ + +
+ +

+For now, code generation to LLVM doesn't really get us much, except that we can +look at the pretty IR calls. The sample code inserts calls to CodeGen into the +Handle* functions, and then dumps out the LLVM IR. This gives a nice +way to look at the LLVM IR for simple functions. For example: +

+ +
+
+ready> 4+5
+Read a top-level expression:
+define double @0() {
+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 in the next chapter. Also note that the code is very literally +transcribed, no optimizations are being performed except simple constant +folding done by the Builder. We will +add optimizations explicitly +in the next chapter.

+ +
+
+ready> def foo(a b) a*a + 2*a*b + b*b
+Read a function definition:
+define double @foo(double %a, double %b) {
+entry:
+  %multmp = fmul double %a, %a                    ; <double> [#uses=1]
+  %multmp1 = fmul double 2.000000e+00, %a         ; <double> [#uses=1]
+  %multmp2 = fmul double %multmp1, %b             ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %multmp2         ; <double> [#uses=1]
+  %multmp3 = fmul double %b, %b                   ; <double> [#uses=1]
+  %addtmp4 = fadd double %addtmp, %multmp3        ; <double> [#uses=1]
+  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 a function definition:
+define double @bar(double %a) {
+entry:
+  %calltmp = call double @foo(double %a, double 4.000000e+00) ; <double> [#uses=1]
+  %calltmp1 = call double @bar(double 3.133700e+04) ; <double> [#uses=1]
+  %addtmp = fadd double %calltmp, %calltmp1       ; <double> [#uses=1]
+  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 a top-level expression:
+define double @1() {
+entry:
+  %calltmp = call double @cos(double 1.234000e+00) ; <double> [#uses=1]
+  ret double %calltmp
+}
+
+
+ +

This shows an extern for the libm "cos" function, and a call to it.

+ + +
+
+ready> ^C
+; ModuleID = 'my cool jit'
+
+define double @0() {
+entry:
+  ret double 9.000000e+00
+}
+
+define double @foo(double %a, double %b) {
+entry:
+  %multmp = fmul double %a, %a                    ; <double> [#uses=1]
+  %multmp1 = fmul double 2.000000e+00, %a         ; <double> [#uses=1]
+  %multmp2 = fmul double %multmp1, %b             ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %multmp2         ; <double> [#uses=1]
+  %multmp3 = fmul double %b, %b                   ; <double> [#uses=1]
+  %addtmp4 = fadd double %addtmp, %multmp3        ; <double> [#uses=1]
+  ret double %addtmp4
+}
+
+define double @bar(double %a) {
+entry:
+  %calltmp = call double @foo(double %a, double 4.000000e+00) ; <double> [#uses=1]
+  %calltmp1 = call double @bar(double 3.133700e+04) ; <double> [#uses=1]
+  %addtmp = fadd double %calltmp, %calltmp1       ; <double> [#uses=1]
+  ret double %addtmp
+}
+
+declare double @cos(double)
+
+define double @1() {
+entry:
+  %calltmp = call double @cos(double 1.234000e+00) ; <double> [#uses=1]
+  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 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-py libraries, you need to +download and +install them. +

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder, FCMP_ULT
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If F took a different number of args, reject.
+      if len(callee.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    self.Handle(self.ParseTopLevelExpr, 'Read a top-level expression:')
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+Next: Adding JIT and Optimizer Support +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl4.html b/www/src/kaleidoscope/PythonLangImpl4.html new file mode 100644 index 0000000..a049201 --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl4.html @@ -0,0 +1,999 @@ + + + + + Kaleidoscope: Adding JIT and Optimizer Support + + + + + + + + +
Kaleidoscope: Adding JIT and Optimizer Support
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Chapter 4 Introduction
+ + +
+ +

Welcome to Chapter 4 of the +"Implementing a language +with LLVM" 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 LLVM Builder, 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 +llvm.core.Builder 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 Builder 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))
+Read a function definition:
+define double @test(double %x) {
+entry:
+  %addtmp = fadd double 3.000000e+00, %x          ; <double> [#uses=1]
+  %addtmp1 = fadd double %x, 3.000000e+00         ; <double> [#uses=1]
+  %multmp = fmul double %addtmp, %addtmp1         ; <double> [#uses=1]
+  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 document and the List of +LLVM Passes.

+ +

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 to hold and organize the LLVM optimizations that we want +to run. Once we have that, we can add a set of optimizations to run. The code +looks like this:

+ +
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+...
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+
+ +

This code defines a FunctionPassManager, +g_llvm_pass_manager. Once it is set up, we use a series of "add" calls +to add a bunch of LLVM passes. The first pass is basically boilerplate, it adds +a pass so that later optimizations know how the data structures in the program +are laid out. (The "g_llvm_executor" variable is related to the JIT, +which we will get to in the next section.) In this case, we choose to add 4 +optimization passes. The passes we chose here are a pretty standard set of +"cleanup" optimizations that are useful for a wide variety of code. I won't +delve into what they do but, believe me, they are a good starting place :).

+ +

Once the pass manager is set up, we need to make use of it. We do this by +running it after our newly created function is constructed (in +FunctionNode.CodeGen), but before it is returned to the client:

+ +
+
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+
+
+ +

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))
+Read a function definition:
+define double @test(double %x) {
+entry:
+  %addtmp = fadd double %x, 3.000000e+00          ; <double> [#uses=2]
+  %multmp = fmul double %addtmp, %addtmp          ; <double> [#uses=1]
+  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 is available, but it isn't very complete. Another good source of +ideas can come from looking at the passes that llvm-gcc or +llvm-ld run 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 and initializing a global variable:

+ +
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+
+ +

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

+ +

Once the ExecutionEngine is created, the JIT is ready to be used. +We can use the run_function method of the execution engine to execute +a compiled function and get its return value. In our case, this means that we +can change the code that parses a top-level expression to look like this:

+ +
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+
+ +

Recall that we compile top-level expressions into a self-contained LLVM +function that takes no arguments and returns the computed double.

+ +

With just these two changes, lets see how Kaleidoscope works now!

+ +
+
+ready> 4+5
+Read a top level expression:
+define double @0() {
+entry:
+  ret double 9.000000e+00
+}
+
+Evaluated to: 9.0
+
+
+ +

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 a function definition:
+define double @testfunc(double %x, double %y) {
+entry:
+  %multmp = fmul double %y, 2.000000e+00          ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %x               ; <double> [#uses=1]
+  ret double %addtmp
+}
+
+ready> testfunc(4, 10)
+Read a top level expression:
+define double @0() {
+entry:
+  %calltmp = call double @testfunc(double 4.000000e+00, double 1.000000e+01) ; <double> [#uses=1]
+  ret double %calltmp
+}
+
+Evaluated to: 24.0
+
+
+ +

This illustrates that we can now call user code, but there is something a bit +subtle going on here. Note that we only invoke the JIT on the anonymous +functions that call testfunc, but we never invoked it +on testfunc itself. What actually happened here is that the JIT +scanned for all non-JIT'd functions transitively called from the anonymous +function and compiled all of them before returning from run_function(). +

+ +

The JIT provides a number of other more advanced interfaces for things like +freeing allocated machine code, rejit'ing functions to update them, etc. +However, even with this simple code, we get some surprisingly powerful +capabilities - check this out (I removed the dump of the anonymous functions, +you should get the idea by now :) :

+ +
+
+ready> extern sin(x)
+Read an extern:
+declare double @sin(double)
+
+ready> extern cos(x)
+Read an extern:
+declare double @cos(double)
+
+ready> sin(1.0)
+Evaluated to: 0.841470984808
+
+ready> def foo(x) sin(x)*sin(x) + cos(x)*cos(x)
+Read a function definition:
+define double @foo(double %x) {
+entry:
+  %calltmp = call double @sin(double %x)          ; <double> [#uses=1]
+  %calltmp1 = call double @sin(double %x)         ; <double> [#uses=1]
+  %multmp = fmul double %calltmp, %calltmp1       ; <double> [#uses=1]
+  %calltmp2 = call double @cos(double %x)         ; <double> [#uses=1]
+  %calltmp3 = call double @cos(double %x)         ; <double> [#uses=1]
+  %multmp4 = fmul double %calltmp2, %calltmp3     ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %multmp4         ; <double> [#uses=1]
+  ret double %addtmp
+}
+
+ready> foo(4.0)
+Evaluated to: 1.000000
+
+
+ +

Whoa, how does the JIT know about sin and cos? The answer is surprisingly +simple: in this example, the JIT started execution of a function and got to a +function call. It realized that the function was not yet JIT compiled and +invoked the standard set of routines to resolve the function. In this case, +there is no body defined for the function, so the JIT ended up calling +"dlsym("sin")" on the Python process that is hosting our Kaleidoscope +prompt. 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.

+ +

One interesting application of this is that we can now extend the language +by writing arbitrary C++ code to implement operations. For example, we can +create a C file with the following simple function: +

+ +
+
+#include <stdio.h>
+
+double putchard(double x) {
+  putchar((char)x);
+  return 0;
+}
+
+
+ +

We can then compile this into a shared library with GCC:

+ +
+
+gcc -shared -fPIC -o putchard.so  putchard.c
+
+
+ +

Now we can load this library into the Python process using +llvm.core.load_library_permanently and access it from Kaleidoscope to +produce simple output to the console:

+ +
+
+>>> import llvm.core
+>>> llvm.core.load_library_permanently('/home/max/llvm-py-tutorial/putchard.so')
+>>> import kaleidoscope
+>>> kaleidoscope.main()
+ready> extern putchard(x)
+Read an extern:
+declare double @putchard(double)
+
+ready> putchard(65) + putchard(66) + putchard(67) + putchard(10)
+ABC
+Evaluated to: 0.0
+
+
+ +

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, 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: +

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder, FCMP_ULT
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+from llvm.passes import (PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If F took a different number of args, reject.
+      if len(callee.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Extending the language: control flow +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl5.html b/www/src/kaleidoscope/PythonLangImpl5.html new file mode 100644 index 0000000..e08d322 --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl5.html @@ -0,0 +1,1607 @@ + + + + + Kaleidoscope: Extending the Language: Control Flow + + + + + + + + +
Kaleidoscope: Extending the Language: Control Flow
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Chapter 5 Introduction
+ + +
+ +

Welcome to Chapter 5 of the +"Implementing a language +with LLVM" tutorial. Parts 1-4 described the implementation of the simple +Kaleidoscope language and included support for generating LLVM IR, followed by +optimizations and a JIT compiler. Unfortunately, as presented, Kaleidoscope is +mostly useless: it has no control flow other than call and return. This means +that you can't have conditional branches in the code, significantly limiting its +power. In this episode of "build that compiler", we'll extend Kaleidoscope to +have an if/then/else expression plus a simple 'for' loop.

+ +
+ + +
If/Then/Else
+ + +
+ +

+Extending Kaleidoscope to support if/then/else is quite straightforward. It +basically requires adding lexer support for this "new" concept to the lexer, +parser, AST, and LLVM code emitter. This example is nice, because it shows how +easy it is to "grow" a language over time, incrementally extending it as new +ideas are discovered.

+ +

Before we get going on "how" we add this extension, lets talk about "what" we +want. The basic idea is that we want to be able to write this sort of thing: +

+ +
+
+def fib(x)
+  if x < 3 then
+    1
+  else
+    fib(x-1) + fib(x-2)
+
+
+ +

In Kaleidoscope, every construct is an expression: there are no statements. +As such, the if/then/else expression needs to return a value like any other. +Since we're using a mostly functional form, we'll have it evaluate its +conditional, then return the 'then' or 'else' value based on how the condition +was resolved. This is very similar to the C "?:" expression.

+ +

The semantics of the if/then/else expression is that it evaluates the +condition to a boolean equality value: 0.0 is considered to be false and +everything else is considered to be true. +If the condition is true, the first subexpression is evaluated and returned, if +the condition is false, the second subexpression is evaluated and returned. +Since Kaleidoscope allows side-effects, this behavior is important to nail down. +

+ +

Now that we know what we "want", let's break this down into its constituent +pieces.

+ +
+ + +
Lexer Extensions for +If/Then/Else
+ + + +
+ +

The lexer extensions are straightforward. First we add new token classes for +the relevant tokens:

+ +
+
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+
+
+ +

Once we have that, we recognize the new keywords in the lexer. This is pretty +simple stuff:

+ +
+
+      ...
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +
+ + +
AST Extensions for + If/Then/Else
+ + +
+ +

To represent the new expression we add a new AST node for it:

+ +
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    ...
+
+
+ +

The AST node just has pointers to the various subexpressions.

+ +
+ + +
Parser Extensions for +If/Then/Else
+ + +
+ +

Now that we have the relevant tokens coming from the lexer and we have the +AST node to build, our parsing logic is relatively straightforward. First we +define a new parsing function:

+ +
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+
+ +

Next we hook it up as a primary expression:

+ +
+
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr();
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+
+ +
+ + +
LLVM IR for If/Then/Else
+ + +
+ +

Now that we have it parsing and building the AST, the final piece is adding +LLVM code generation support. This is the most interesting part of the +if/then/else example, because this is where it starts to introduce new concepts. +All of the code above has been thoroughly described in previous chapters. +

+ +

To motivate the code we want to produce, lets take a look at a simple +example. Consider:

+ +
+
+extern foo();
+extern bar();
+def baz(x) if x then foo() else bar();
+
+
+ +

If you disable optimizations, the code you'll (soon) get from Kaleidoscope +looks something like this:

+ +
+
+declare double @foo()
+
+declare double @bar()
+
+define double @baz(double %x) {
+entry:
+	%ifcond = fcmp one double %x, 0.000000e+00
+	br i1 %ifcond, label %then, label %else
+
+then:		; preds = %entry
+	%calltmp = call double @foo()
+	br label %ifcont
+
+else:		; preds = %entry
+	%calltmp1 = call double @bar()
+	br label %ifcont
+
+ifcont:		; preds = %else, %then
+	%iftmp = phi double [ %calltmp, %then ], [ %calltmp1, %else ]
+	ret double %iftmp
+}
+
+
+ +

To visualize the control flow graph, you can use a nifty feature of the LLVM +'opt' tool. If you put this LLVM IR +into "t.ll" and run "llvm-as < t.ll | opt -analyze -view-cfg", a window will +pop up and you'll see this graph:

+ +
Example CFG
+ +

Another way to get this is to call "function.viewCFG()" or +"function.viewCFGOnly()" (where F is a "llvm.core.Function") +either by inserting actual calls into the code and recompiling or by calling +these in the debugger. LLVM has many nice features for visualizing various +graphs, but note that these are available only if your LLVM was built with +Graphviz support (accomplished by having Graphviz and Ghostview installed when +building LLVM).

+ +

Getting back to the generated code, it is fairly simple: the entry block +evaluates the conditional expression ("x" in our case here) and compares the +result to 0.0 with the +"fcmp one" +instruction ('one' is "Ordered and Not Equal"). Based on the result of this +expression, the code jumps to either the "then" or "else" blocks, which contain +the expressions for the true/false cases.

+ +

Once the then/else blocks are finished executing, they both branch back to +the 'ifcont' block to execute the code that happens after the if/then/else. In +this case the only thing left to do is to return to the caller of the function. +The question then becomes: how does the code know which expression to return? +

+ +

The answer to this question involves an important SSA operation: the +Phi +operation. If you're not familiar with SSA, the wikipedia +article is a good introduction and there are various other introductions to +it available on your favorite search engine. The short version is that +"execution" of the Phi operation requires "remembering" which block control came +from. The Phi operation takes on the value corresponding to the input control +block. In this case, if control comes in from the "then" block, it gets the +value of "calltmp". If control comes from the "else" block, it gets the value +of "calltmp1".

+ +

At this point, you are probably starting to think "Oh no! This means my +simple and elegant front-end will have to start generating SSA form in order to +use LLVM!". Fortunately, this is not the case, and we strongly advise +not implementing an SSA construction algorithm in your front-end +unless there is an amazingly good reason to do so. In practice, there are two +sorts of values that float around in code written for your average imperative +programming language that might need Phi nodes:

+ +
    +
  1. Code that involves user variables: x = 1; x = x + 1;
  2. +
  3. Values that are implicit in the structure of your AST, such as the Phi node +in this case.
  4. +
+ +

In Chapter 7 of this tutorial ("mutable +variables"), we'll talk about #1 in depth. For now, just believe me that you +don't need SSA construction to handle this case. For #2, you have the choice of +using the techniques that we will describe for #1, or you can insert Phi nodes +directly, if convenient. In this case, it is really really easy to generate +the Phi node, so we choose to do it directly.

+ +

Okay, enough of the motivation and overview, lets generate code!

+ +
+ + +
Code Generation for +If/Then/Else
+ + +
+ +

In order to generate code for this, we implement the Codegen method +for IfExpressionNode:

+ +
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+
+ +

This code is straightforward and similar to what we saw before. We emit the +expression for the condition, then compare that value to zero to get a truth +value as a 1-bit (bool) value.

+ +
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+
+ +

This code creates the basic blocks that are related to the if/then/else +statement, and correspond directly to the blocks in the example above. The +first line gets the current Function object that is being built. It +gets this by asking the builder for the current BasicBlock, and asking that +block for its "parent" (the function it is currently embedded into).

+ +

Once it has that, it creates three block which are automatically inserted +into the end of the function. Once the blocks are created, we can emit the +conditional branch that chooses between them. Note that creating new blocks +does not implicitly affect the Builder, so it is still inserting into the block +that the condition went into.

+ +
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+
+ +

After the conditional branch is inserted, we move the builder to start +inserting into the "then" block. Strictly speaking, this call moves the +insertion point to be at the end of the specified block. However, since the +"then" block is empty, it also starts out by inserting at the beginning of the +block. :)

+ +

Once the insertion point is set, we recursively codegen the "then" expression +from the AST. To finish off the "then" block, we create an unconditional branch +to the merge block. One interesting (and very important) aspect of the LLVM IR +is that it +requires all +basic blocks to be "terminated" with a +control flow +instruction such as return or branch. This means that all control flow, +including fallthroughs must be made explicit in the LLVM IR. If you +violate this rule, the verifier will emit an error.

+ +

The final line here is quite subtle, but is very important. The basic issue +is that when we create the Phi node in the merge block, we need to set up the +block/value pairs that indicate how the Phi will work. Importantly, the Phi +node expects to have an entry for each predecessor of the block in the CFG. Why +then, are we getting the current block when we just set it to then_block 5 lines +above? The problem is that the "Then" expression may actually itself change the +block that the Builder is emitting into if, for example, it contains a nested +"if/then/else" expression. Because calling Codegen recursively could +arbitrarily change the notion of the current block, we are required to get an +up-to-date value for code that will set up the Phi node.

+ +
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+
+ +

Code generation for the 'else' block is basically identical to codegen for +the 'then' block. The only significant difference is the first line, which adds +the 'else' block to the function. Recall previously that the 'else' block was +created, but not added to the function. Now that the 'then' and 'else' blocks +are emitted, we can finish up with the merge code:

+ +
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+
+ +

The first line changes the insertion point so that newly created code will go +into the "merge" block. Once that is done, we need to create the PHI node and +set up the block/value pairs for the PHI.

+ +

Finally, the CodeGen function returns the phi node as the value computed by +the if/then/else expression. In our example above, this returned value will +feed into the code for the top-level function, which will create the return +instruction.

+ +

Overall, we now have the ability to execute conditional code in +Kaleidoscope. With this extension, Kaleidoscope is a fairly complete language +that can calculate a wide variety of numeric functions. Next up we'll add +another useful expression that is familiar from non-functional languages...

+ +
+ + +
'for' Loop Expression
+ + +
+ +

Now that we know how to add basic control flow constructs to the language, +we have the tools to add more powerful things. Lets add something more +aggressive, a 'for' expression:

+ +
+
+ extern putchard(char)
+ def printstar(n)
+   for i = 1, i < n, 1.0 in
+     putchard(42)  # ascii 42 = '*'
+
+ # print 100 '*' characters
+ printstar(100)
+
+
+ +

This expression defines a new variable ("i" in this case) which iterates from +a starting value, while the condition ("i < n" in this case) is true, +incrementing by an optional step value ("1.0" in this case). If the step value +is omitted, it defaults to 1.0. While the loop is true, it executes its +body expression. Because we don't have anything better to return, we'll just +define the loop as always returning 0.0. In the future when we have mutable +variables, it will get more useful.

+ +

As before, lets talk about the changes that we need to Kaleidoscope to +support this.

+ +
+ + +
Lexer Extensions for +the 'for' Loop
+ + +
+ +

The lexer extensions are the same sort of thing as for if/then/else:

+ +
+
+...
+
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+
+...
+
+def Tokenize(string):
+
+      ...
+
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +
+ + +
AST Extensions for +the 'for' Loop
+ + +
+ +

The AST node is just as simple. It basically boils down to capturing +the variable name and the constituent expressions in the node.

+ +
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    ...
+
+
+ +
+ + +
Parser Extensions for +the 'for' Loop
+ + +
+ +

The parser code is also fairly standard. The only interesting thing here is +handling of the optional step value. The parser code handles it by checking to +see if the second comma is present. If not, it sets the step value to null in +the AST node:

+ +
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+
+ +
+ + +
LLVM IR for +the 'for' Loop
+ + +
+ +

Now we get to the good part: the LLVM IR we want to generate for this thing. +With the simple example above, we get this LLVM IR (note that this dump is +generated with optimizations disabled for clarity): +

+ +
+
+declare double @putchard(double)
+
+define double @printstar(double %n) {
+entry:
+        ; initial value = 1.0 (inlined into phi)
+	br label %loop
+
+loop:		; preds = %loop, %entry
+	%i = phi double [ 1.000000e+00, %entry ], [ %nextvar, %loop ]
+        ; body
+	%calltmp = call double @putchard(double 4.200000e+01)
+        ; increment
+	%nextvar = fadd double %i, 1.000000e+00
+
+        ; termination test
+	%cmptmp = fcmp ult double %i, %n
+	%booltmp = uitofp i1 %cmptmp to double
+	%loopcond = fcmp one double %booltmp, 0.000000e+00
+	br i1 %loopcond, label %loop, label %afterloop
+
+afterloop:		; preds = %loop
+        ; loop always returns 0.0
+	ret double 0.000000e+00
+}
+
+
+ +

This loop contains all the same constructs we saw before: a phi node, several +expressions, and some basic blocks. Lets see how this fits together.

+ +
+ + +
Code Generation for +the 'for' Loop
+ + +
+ +

The first part of Codegen is very simple: we just output the start expression +for the loop value:

+ +
+
+  def CodeGen(self):
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+
+ +

With this out of the way, the next step is to set up the LLVM basic block +for the start of the loop body. In the case above, the whole loop body is one +block, but remember that the body code itself could consist of multiple blocks +(e.g. if it contains an if/then/else or a for/in expression).

+ +
+
+    # Make the new basic block for the loop header, inserting after current
+    # block.
+    function = g_llvm_builder.basic_block.function
+    pre_header_block = g_llvm_builder.basic_block
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fallthrough from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+
+ +

This code is similar to what we saw for if/then/else. Because we will need +it to create the Phi node, we remember the block that falls through into the +loop. Once we have that, we create the actual block that starts the loop and +create an unconditional branch for the fall-through between the two blocks.

+ +
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block);
+
+    # Start the PHI node with an entry for start.
+    variable_phi = g_llvm_builder.phi(Type.double(), self.loop_variable)
+    variable_phi.add_incoming(start_value, pre_header_block)
+
+
+ +

Now that the "pre_header_block" for the loop is set up, we switch to emitting +code for the loop body. To begin with, we move the insertion point and create +the PHI node for the loop induction variable. Since we already know the +incoming value for the starting value, we add it to the Phi node. Note that the +Phi will eventually get a second value for the backedge, but we can't set it up +yet (because it doesn't exist!).

+ +
+
+    # Within the loop, the variable is defined equal to the PHI node.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = variable_phi
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+
+ +

Now the code starts to get more interesting. Our 'for' loop introduces a new +variable to the symbol table. This means that our symbol table can now contain +either function arguments or loop variables. To handle this, before we codegen +the body of the loop, we add the loop variable as the current value for its +name. Note that it is possible that there is a variable of the same name in the +outer scope. It would be easy to make this an error (emit an error and return +null if there is already an entry for VarName) but we choose to allow shadowing +of variables. In order to handle this correctly, we remember the Value that +we are potentially shadowing in old_value (which will be None if there +is no shadowed variable).

+ +

Once the loop variable is set into the symbol table, the code recursively +codegen's the body. This allows the body to use the loop variable: any +references to it will naturally find it in the symbol table.

+ +
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    next_value = g_llvm_builder.fadd(variable_phi, step_value, 'next')
+
+
+ +

Now that the body is emitted, we compute the next value of the iteration +variable by adding the step value, or 1.0 if it isn't present. +next_value will be the value of the loop variable on the next iteration +of the loop.

+ +
+
+    # Compute the end condition and convert it to a bool by comparing to 0.0.
+    end_condition = self.end.CodeGen()
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+
+ +

Finally, we evaluate the exit value of the loop, to determine whether the +loop should exit. This mirrors the condition evaluation for the if/then/else +statement.

+ +
+
+    # Create the "after loop" block and insert it.
+    loop_end_block = g_llvm_builder.basic_block
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_end_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+
+ +

With the code for the body of the loop complete, we just need to finish up +the control flow for it. This code remembers the end block (for the phi node), +then creates the block for the loop exit ("afterloop"). Based on the value of +the exit condition, it creates a conditional branch that chooses between +executing the loop again and exiting the loop. Any future code is emitted in +the "afterloop" block, so it sets the insertion position to it.

+ +
+
+    # Add a new entry to the PHI node for the backedge.
+    variable_phi.add_incoming(next_value, loop_end_block)
+
+    # Restore the unshadowed variable.
+    if old_value:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+
+ +

The final code handles various cleanups: now that we have the "next_value", +we can add the incoming value to the loop PHI node. After that, we remove the +loop variable from the symbol table, so that it isn't in scope after the for +loop. Finally, code generation of the for loop always returns 0.0, so that is +what we return from ForExpressionNode::CodeGen.

+ +

With this, we conclude the "adding control flow to Kaleidoscope" chapter of +the tutorial. In this chapter we added two control flow constructs, and used +them to motivate a couple of aspects of the LLVM IR that are important for +front-end implementors to know. In the next chapter of our saga, we will get a +bit crazier and add user-defined operators to +our poor innocent language.

+ +
+ + +
Full Code Listing
+ + +
+ +

+Here is the complete code listing for our running example, enhanced with the +if/then/else and for expressions:

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+
+from llvm.core import FCMP_ULT, FCMP_ONE
+from llvm.passes import (PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object): pass
+class DefToken(object): pass
+class ExternToken(object): pass
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    # Output this as:
+    #   ...
+    #   start = startexpr
+    #   goto loop
+    # loop:
+    #   variable = phi [start, loopheader], [nextvariable, loopend]
+    #   ...
+    #   bodyexpr
+    #   ...
+    # loopend:
+    #   step = stepexpr
+    #   nextvariable = variable + step
+    #   endcond = endexpr
+    #   br endcond, loop, endloop
+    # outloop:
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Make the new basic block for the loop header, inserting after current
+    # block.
+    function = g_llvm_builder.basic_block.function
+    pre_header_block = g_llvm_builder.basic_block
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fallthrough from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block)
+
+    # Start the PHI node with an entry for start.
+    variable_phi = g_llvm_builder.phi(Type.double(), self.loop_variable)
+    variable_phi.add_incoming(start_value, pre_header_block)
+
+    # Within the loop, the variable is defined equal to the PHI node.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = variable_phi
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    next_value = g_llvm_builder.fadd(variable_phi, step_value, 'next')
+
+    # Compute the end condition and convert it to a bool by comparing to 0.0.
+    end_condition = self.end.CodeGen()
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+    # Create the "after loop" block and insert it.
+    loop_end_block = g_llvm_builder.basic_block
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_end_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+    # Add a new entry to the PHI node for the backedge.
+    variable_phi.add_incoming(next_value, loop_end_block)
+
+    # Restore the unshadowed variable.
+    if old_value:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If the function took a different number of args, reject.
+      if len(function.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+  # primary ::= identifierexpr | numberexpr | parenexpr | ifexpr | forexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Extending the language: user-defined operators +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl6.html b/www/src/kaleidoscope/PythonLangImpl6.html new file mode 100644 index 0000000..55d4fb8 --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl6.html @@ -0,0 +1,1605 @@ + + + + + Kaleidoscope: Extending the Language: User-defined Operators + + + + + + + + +
Kaleidoscope: Extending the Language: User-defined +Operators
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Chapter 6 Introduction
+ + +
+ +

Welcome to Chapter 6 of the +"Implementing a language +with LLVM" tutorial. At this point in our tutorial, we now have a fully +functional language that is fairly minimal, but also useful. There +is still one big problem with it, however. Our language doesn't have many +useful operators (like division, logical negation, or even any comparisons +besides less-than).

+ +

This chapter of the tutorial takes a wild digression into adding user-defined +operators to the simple and beautiful Kaleidoscope language. This digression now +gives us a simple and ugly language in some ways, but also a powerful one at the +same time. One of the great things about creating your own language is that you +get to decide what is good or bad. In this tutorial we'll assume that it is +okay to use this as a way to show some interesting parsing techniques.

+ +

At the end of this tutorial, we'll run through an example Kaleidoscope +application that renders the Mandelbrot set. This gives +an example of what you can build with Kaleidoscope and its feature set.

+ +
+ + +
User-defined Operators: the +Idea
+ + +
+ +

+The "operator overloading" that we will add to Kaleidoscope is more general than +languages like C++. In C++, you are only allowed to redefine existing +operators: you can't programatically change the grammar, introduce new +operators, change precedence levels, etc. In this chapter, we will add this +capability to Kaleidoscope, which will let the user round out the set of +operators that are supported.

+ +

The point of going into user-defined operators in a tutorial like this is to +show the power and flexibility of using a hand-written parser. Thus far, the +parser we have been implementing uses recursive descent for most parts of the +grammar and operator precedence parsing for the expressions. See Chapter 2 for details. Without using operator +precedence parsing, it would be very difficult to allow the programmer to +introduce new operators into the grammar: the grammar is dynamically extensible +as the JIT runs.

+ +

The two specific features we'll add are programmable unary operators (right +now, Kaleidoscope has no unary operators at all) as well as binary operators. +An example of this is:

+ +
+
+# Logical unary not.
+def unary!(v)
+  if v then
+    0
+  else
+    1
+
+# Define > with the same precedence as <.
+def binary> 10 (LHS RHS)
+  RHS < LHS
+
+# Binary "logical or", (note that it does not "short circuit").
+def binary| 5 (LHS RHS)
+  if LHS then
+    1
+  else if RHS then
+    1
+  else
+    0
+
+# Define = with slightly lower precedence than relationals.
+def binary= 9 (LHS RHS)
+  !(LHS < RHS | LHS > RHS)
+
+
+ +

Many languages aspire to being able to implement their standard runtime +library in the language itself. In Kaleidoscope, we can implement significant +parts of the language in the library!

+ +

We will break down implementation of these features into two parts: +implementing support for user-defined binary operators and adding unary +operators.

+ +
+ + +
User-defined Binary +Operators
+ + +
+ +

Adding support for user-defined binary operators is pretty simple with our +current framework. We'll first add support for the unary/binary keywords:

+ +
+
+class InToken(object): pass
+class BinaryToken(object): pass
+class UnaryToken(object): pass
+...
+def Tokenize(string):
+  ...
+      elif identifier == 'in':
+        yield InToken()
+      elif identifier == 'binary':
+        yield BinaryToken()
+      elif identifier == 'unary':
+        yield UnaryToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +

This just adds lexer support for the unary and binary keywords, like we +did in previous chapters. One nice +thing about our current AST, is that we represent binary operators with full +generalisation by using their ASCII code as the opcode. For our extended +operators, we'll use this same representation, so we don't need any new AST or +parser support.

+ +

On the other hand, we have to be able to represent the definitions of these +new operators, in the "def binary| 5" part of the function definition. In our +grammar so far, the "name" for the function definition is parsed as the +"prototype" production and into the PrototypeNode. To represent our +new user-defined operators as prototypes, we have to extend the +PrototypeNode like this:

+ +
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes), as well as if it is an operator.
+class PrototypeNode(object):
+
+  def __init__(self, name, args, is_operator=False, precedence=0):
+    self.name = name
+    self.args = args
+    self.is_operator = is_operator
+    self.precedence = precedence
+
+  def IsBinaryOp(self):
+    return self.is_operator and len(self.args) == 2
+
+  def GetOperatorName(self):
+    assert self.is_operator
+    return self.name[-1]
+
+  def CodeGen(self):
+    ...
+
+
+ +

Basically, in addition to knowing a name for the prototype, we now keep track +of whether it was an operator, and if it was, what precedence level the operator +is at. The precedence is only used for binary operators (as you'll see below, +it just doesn't apply for unary operators). Now that we have a way to represent +the prototype for a user-defined operator, we need to parse it:

+ +
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      kind = 'normal'
+      function_name = self.current.name
+      self.Next()  # eat function name.
+    elif isinstance(self.current, BinaryToken):
+      kind = 'binary'
+      self.Next()  # eat 'binary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "binary".')
+      function_name = 'binary' + self.current.char
+      self.Next()  # eat the operator.
+      if isinstance(self.current, NumberToken):
+        if not 1 <= self.current.value <= 100:
+          raise RuntimeError('Invalid precedence: must be in range [1, 100].')
+        precedence = self.current.value
+        self.Next()  # eat the precedence.
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    if kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+
+
+ +

This is all fairly straightforward parsing code, and we have already seen +a lot of similar code in the past. One interesting part about the code above is +the couple lines that set up function_name for operators. This builds +names like "binary@" for a newly defined "@" operator. This then takes +advantage of the fact that symbol names in the LLVM symbol table are allowed to +have any character in them.

+ +

The next interesting thing to add, is codegen support for these binary +operators. Given our current structure, this is a simple addition of a default +case for our existing binary operator node:

+ +
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      function = g_llvm_module.get_function_named('binary' + self.operator)
+      return g_llvm_builder.call(function, [left, right], 'binop')
+
+
+ +

As you can see above, the new code is actually really simple. It just does +a lookup for the appropriate operator in the symbol table and generates a +function call to it. Since user-defined operators are just built as normal +functions (because the "prototype" boils down to a function with the right +name) everything falls into place.

+ +

The final piece of code we are missing, is a bit of top-level magic. We will +need to make the dinary precedence map global and modify it whenever we define a +new binary operator:

+ +
+
+# The binary operator precedence chart.
+g_binop_precedence = {}
+...
+class FunctionNode(object):
+  ...
+  def CodeGen(self):
+    ...
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # If this is a binary operator, install its precedence.
+    if self.prototype.IsBinaryOp():
+      operator = self.prototype.GetOperatorName()
+      g_binop_precedence[operator] = self.prototype.precedence
+    ...
+    # Finish off the function.
+    try:
+      ...
+    except:
+      function.delete()
+      if self.prototype.IsBinaryOp():
+        del g_binop_precedence[self.prototype.GetOperatorName()]
+      raise
+
+    return function
+...
+def main():
+  ...
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+  g_binop_precedence['*'] = 40
+  ...
+
+
+ +

Basically, before CodeGening a function, if it is a user-defined operator, we +register it in the precedence table. This allows the binary operator parsing +logic we already have in place to handle it. Since we are working on a +fully-general operator precedence parser, this is all we need to do to "extend +the grammar".

+ +

Now we have useful user-defined binary operators. This builds a lot +on the previous framework we built for other operators. Adding unary operators +is a bit more challenging, because we don't have any framework for it yet - +let's see what it takes.

+ +
+ + +
User-defined Unary Operators
+ + +
+ +

Since we don't currently support unary operators in the Kaleidoscope +language, we'll need to add everything to support them. Above, we added simple +support for the 'unary' keyword to the lexer. In addition to that, we need an +AST node:

+ +
+
+# Expression class for a unary operator.
+class UnaryExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, operand):
+    self.operator = operator
+    self.operand = operand
+
+  def CodeGen(self):
+    ...
+
+
+ +

This AST node is very simple and obvious by now. It directly mirrors the +binary operator AST node, except that it only has one child. With this, we +need to add the parsing logic. Parsing a unary operator is pretty simple: we'll +add a new function to do it:

+ +
+
+  # unary ::= primary | unary_operator unary
+  def ParseUnary(self):
+    # If the current token is not an operator, it must be a primary expression.
+    if (not isinstance(self.current, CharacterToken) or
+        self.current in [CharacterToken('('), CharacterToken(',')]):
+      return self.ParsePrimary()
+
+    # If this is a unary operator, read it.
+    operator = self.current.char
+    self.Next()  # eat the operator.
+    return UnaryExpressionNode(operator, self.ParseUnary())
+
+
+ +

The grammar we add is pretty straightforward here. If we see a unary +operator when parsing a primary operator, we eat the operator as a prefix and +parse the remaining piece as another unary operator. This allows us to handle +multiple unary operators (e.g. "!!x"). Note that unary operators can't have +ambiguous parses like binary operators can, so there is no need for precedence +information.

+ +

The problem with this function, is that we need to call ParseUnary from +somewhere. To do this, we change previous callers of ParsePrimary to call +ParseUnary instead:

+ +
+
+  # binoprhs ::= (binary_operator unary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    ...
+      # Parse the unary expression after the binary operator.
+      right = self.ParseUnary()
+    ...
+
+  # expression ::= unary binoprhs
+  def ParseExpression(self):
+    left = self.ParseUnary()
+    return self.ParseBinOpRHS(left, 0)
+
+
+ +

With these two simple changes, we are now able to parse unary operators and +build the AST for them. Next up, we need to add parser support for prototypes, +to parse the unary operator prototype. We extend the binary operator code above +with:

+ +
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      ...
+    elif isinstance(self.current, UnaryToken):
+      kind = 'unary'
+      self.Next()  # eat 'unary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "unary".')
+      function_name = 'unary' + self.current.char
+      self.Next()  # eat the operator.
+    elif isinstance(self.current, BinaryToken):
+      ...
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+    ...
+    if kind == 'unary' and len(arg_names) != 1:
+      raise RuntimeError('Invalid number of arguments for a unary operator.')
+    elif kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+
+ +

As with binary operators, we name unary operators with a name that includes +the operator character. This assists us at code generation time. Speaking of, +the final piece we need to add is codegen support for unary operators. It looks +like this:

+ +
+
+class UnaryExpressionNode(ExpressionNode):
+  ...
+  def CodeGen(self):
+    operand = self.operand.CodeGen()
+    function = g_llvm_module.get_function_named('unary' + self.operator)
+    return g_llvm_builder.call(function, [operand], 'unop')
+
+
+ +

This code is similar to, but simpler than, the code for binary operators. It +is simpler primarily because it doesn't need to handle any predefined operators. +

+ +
+ + +
Kicking the Tires
+ + +
+ +

It is somewhat hard to believe, but with a few simple extensions we've +covered in the last chapters, we have grown a real-ish language. With this, we +can do a lot of interesting things, including I/O, math, and a bunch of other +things. For example, we can now add a nice sequencing operator (assuming we +import putchard as described in +Chapter +4):

+ +
+
+ready> def binary : 1 (x y) 0  # Low-precedence operator that ignores operands.
+...
+ready> extern putchard(x)
+...
+ready> def printd(x) putchard(x) : putchard(10)
+..
+ready> printd(65) : printd(66) : printd(67)
+A
+B
+C
+Evaluated to: 0.0
+
+
+ +

We can also define a bunch of other "primitive" operations, such as:

+ +
+
+# Logical unary not.
+def unary!(v)
+  if v then
+    0
+  else
+    1
+
+# Unary negate.
+def unary-(v)
+  0-v
+
+# Define > with the same precedence as <.
+def binary> 10 (LHS RHS)
+  RHS < LHS
+
+# Binary logical or, which does not short circuit.
+def binary| 5 (LHS RHS)
+  if LHS then
+    1
+  else if RHS then
+    1
+  else
+    0
+
+# Binary logical and, which does not short circuit.
+def binary& 6 (LHS RHS)
+  if !LHS then
+    0
+  else
+    !!RHS
+
+# Define = with slightly lower precedence than relationals.
+def binary = 9 (LHS RHS)
+  !(LHS < RHS | LHS > RHS)
+
+
+
+ + +

Given the previous if/then/else support, we can also define interesting +functions for I/O. For example, the following prints out a character whose +"density" reflects the value passed in: the lower the value, the denser the +character:

+ +
+
+ready>
+
+extern putchard(char)
+def printdensity(d)
+  if d > 8 then
+    putchard(32)  # ' '
+  else if d > 4 then
+    putchard(46)  # '.'
+  else if d > 2 then
+    putchard(43)  # '+'
+  else
+    putchard(42); # '*'
+...
+ready> printdensity(1): printdensity(2): printdensity(3) :
+          printdensity(4): printdensity(5): printdensity(9): putchard(10)
+*++..
+Evaluated to 0.000000
+
+
+ +

Based on these simple primitive operations, we can start to define more +interesting things. For example, here's a little function that solves for the +number of iterations it takes a function in the complex plane to +converge:

+ +
+
+# determine whether the specific location diverges.
+# Solve for z = z^2 + c in the complex plane.
+def mandelconverger(real imag iters creal cimag)
+  if iters > 255 | (real*real + imag*imag > 4) then
+    iters
+  else
+    mandelconverger(real*real - imag*imag + creal,
+                    2*real*imag + cimag,
+                    iters+1, creal, cimag)
+
+# return the number of iterations required for the iteration to escape
+def mandelconverge(real imag)
+  mandelconverger(real, imag, 0, real, imag)
+
+
+ +

This "z = z2 + c" function is a beautiful little creature that is +the basis for computation of the Mandelbrot Set. Our +mandelconverge function returns the number of iterations that it takes +for a complex orbit to escape, saturating to 255. This is not a very useful +function by itself, but if you plot its value over a two-dimensional plane, +you can see the Mandelbrot set. Given that we are limited to using putchard +here, our amazing graphical output is limited, but we can whip together +something using the density plotter above:

+ +
+
+# compute and plot the mandlebrot set with the specified 2 dimensional range
+# info.
+def mandelhelp(xmin xmax xstep   ymin ymax ystep)
+  for y = ymin, y < ymax, ystep in (
+    (for x = xmin, x < xmax, xstep in
+       printdensity(mandleconverge(x,y)))
+    : putchard(10)
+  )
+
+# mandel - This is a convenient helper function for ploting the mandelbrot set
+# from the specified position with the specified Magnification.
+def mandel(realstart imagstart realmag imagmag)
+  mandelhelp(realstart, realstart+realmag*78, realmag,
+             imagstart, imagstart+imagmag*40, imagmag);
+
+
+ +

Given this, we can try plotting out the mandlebrot set! Lets try it out:

+ +
+
+ready> mandel(-2.3, -1.3, 0.05, 0.07)
+*******************************************************************************
+*******************************************************************************
+****************************************++++++*********************************
+************************************+++++...++++++*****************************
+*********************************++++++++.. ...+++++***************************
+*******************************++++++++++..   ..+++++**************************
+******************************++++++++++.     ..++++++*************************
+****************************+++++++++....      ..++++++************************
+**************************++++++++.......      .....++++***********************
+*************************++++++++.   .            ... .++**********************
+***********************++++++++...                     ++**********************
+*********************+++++++++....                    .+++*********************
+******************+++..+++++....                      ..+++********************
+**************++++++. ..........                        +++********************
+***********++++++++..        ..                         .++********************
+*********++++++++++...                                 .++++*******************
+********++++++++++..                                   .++++*******************
+*******++++++.....                                    ..++++*******************
+*******+........                                     ...++++*******************
+*******+... ....                                     ...++++*******************
+*******+++++......                                    ..++++*******************
+*******++++++++++...                                   .++++*******************
+*********++++++++++...                                  ++++*******************
+**********+++++++++..        ..                        ..++********************
+*************++++++.. ..........                        +++********************
+******************+++...+++.....                      ..+++********************
+*********************+++++++++....                    ..++*********************
+***********************++++++++...                     +++*********************
+*************************+++++++..   .            ... .++**********************
+**************************++++++++.......      ......+++***********************
+****************************+++++++++....      ..++++++************************
+*****************************++++++++++..     ..++++++*************************
+*******************************++++++++++..  ...+++++**************************
+*********************************++++++++.. ...+++++***************************
+***********************************++++++....+++++*****************************
+***************************************++++++++********************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+Evaluated to 0.0
+ready> mandel(-2, -1, 0.02, 0.04)
+******************************************************************+++++++++++++
+****************************************************************+++++++++++++++
+*************************************************************++++++++++++++++++
+***********************************************************++++++++++++++++++++
+********************************************************+++++++++++++++++++++++
+******************************************************++++++++++++++++++++++...
+***************************************************+++++++++++++++++++++.......
+*************************************************++++++++++++++++++++..........
+***********************************************+++++++++++++++++++...       ...
+********************************************++++++++++++++++++++......
+******************************************++++++++++++++++++++.......
+***************************************+++++++++++++++++++++..........
+************************************++++++++++++++++++++++...........
+********************************++++++++++++++++++++++++.........
+***************************++++++++...........+++++..............
+*********************++++++++++++....  .........................
+***************+++++++++++++++++....   .........   ............
+***********+++++++++++++++++++++.....                   ......
+********+++++++++++++++++++++++.......
+******+++++++++++++++++++++++++........
+****+++++++++++++++++++++++++.......
+***+++++++++++++++++++++++.........
+**++++++++++++++++...........
+*++++++++++++................
+*++++....................
+
+*++++....................
+*++++++++++++................
+**++++++++++++++++...........
+***+++++++++++++++++++++++.........
+****+++++++++++++++++++++++++.......
+******+++++++++++++++++++++++++........
+********+++++++++++++++++++++++.......
+***********+++++++++++++++++++++.....                   ......
+***************+++++++++++++++++....   .........   ............
+*********************++++++++++++....  .........................
+***************************++++++++...........+++++..............
+********************************++++++++++++++++++++++++.........
+************************************++++++++++++++++++++++...........
+***************************************+++++++++++++++++++++..........
+******************************************++++++++++++++++++++.......
+Evaluated to: 0.0
+ready> mandel(-0.9, -1.4, 0.02, 0.03)
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+****************************+++++++++++++++++**********************************
+***********************+++++++++++...++++++++++++******************************
+********************+++++++++++++.. . .++++++++++++++**************************
+*****************++++++++++++++++... ......++++++++++++************************
+**************+++++++++++++++++++...   .......+++++++++++**********************
+************++++++++++++++++++++....    .... ..++++++++++++********************
+**********++++++++++++++++++++++......       ...++++++++++++*******************
+********+++++++++++++++++++++++.......     .....++++++++++++++*****************
+******++++++++++++++++++++++++.......      .....+++++++++++++++****************
+****+++++++++++++++++++++++++.... .         .....+++++++++++++++***************
+**+++++++++++++++++++++++++....                ...++++++++++++++++*************
+*+++++++++++++++++++++++.......                ....++++++++++++++++************
++++++++++++++++++++++..........                .....++++++++++++++++***********
+++++++++++++++++++.............                .......+++++++++++++++**********
++++++++++++++++................                ............++++++++++**********
++++++++++++++.................                  .................+++++*********
++++++++++++...       ....                            ..........  .+++++********
+++++++++++.....                                       ........  ...+++++*******
+++++++++......                                                   ..++++++******
++++++++........                                                   ..+++++******
++++++..........                                                   ..++++++*****
+++++..........                                                  ....++++++*****
+++..........                                                    ....+++++++****
+..........                                                     ......+++++++***
+..........                                                      .....+++++++***
+..........                                                       .....++++++***
+.........                                                            .+++++++**
+........                                                             .+++++++**
+ ......                                                             ...+++++++*
+   .                                                              ....++++++++*
+                                                                   ...++++++++*
+                                                                    ..+++++++++
+                                                                    ..+++++++++
+Evaluated to: 0.0
+ready> ^C
+
+
+ +

At this point, you may be starting to realize that Kaleidoscope is a real +and powerful language. It may not be self-similar :), but it can be used to +plot things that are!

+ +

With this, we conclude the "adding user-defined operators" chapter of the +tutorial. We have successfully augmented our language, adding the ability to extend the +language in the library, and we have shown how this can be used to build a simple but +interesting end-user application in Kaleidoscope. At this point, Kaleidoscope +can build a variety of applications that are functional and can call functions +with side-effects, but it can't actually define and mutate a variable itself. +

+ +

Strikingly, variable mutation is an important feature of some +languages, and it is not at all obvious how to +add support for mutable variables without +having to add an "SSA construction" phase to your front-end. In the next +chapter, we will describe how you can add variable mutation without building SSA +in your front-end.

+ +
+ + +
Full Code Listing
+ + +
+ +

+Here is the complete code listing for our running example, enhanced with the +if/then/else and for expressions:

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+
+from llvm.core import FCMP_ULT, FCMP_ONE
+from llvm.passes import (PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+# The binary operator precedence chart.
+g_binop_precedence = {}
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object): pass
+class DefToken(object): pass
+class ExternToken(object): pass
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+class BinaryToken(object): pass
+class UnaryToken(object): pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      elif identifier == 'binary':
+        yield BinaryToken()
+      elif identifier == 'unary':
+        yield UnaryToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      function = g_llvm_module.get_function_named('binary' + self.operator)
+      return g_llvm_builder.call(function, [left, right], 'binop')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    # Output this as:
+    #   ...
+    #   start = startexpr
+    #   goto loop
+    # loop:
+    #   variable = phi [start, loopheader], [nextvariable, loopend]
+    #   ...
+    #   bodyexpr
+    #   ...
+    # loopend:
+    #   step = stepexpr
+    #   nextvariable = variable + step
+    #   endcond = endexpr
+    #   br endcond, loop, endloop
+    # outloop:
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Make the new basic block for the loop header, inserting after current
+    # block.
+    function = g_llvm_builder.basic_block.function
+    pre_header_block = g_llvm_builder.basic_block
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fallthrough from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block)
+
+    # Start the PHI node with an entry for start.
+    variable_phi = g_llvm_builder.phi(Type.double(), self.loop_variable)
+    variable_phi.add_incoming(start_value, pre_header_block)
+
+    # Within the loop, the variable is defined equal to the PHI node.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = variable_phi
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    next_value = g_llvm_builder.fadd(variable_phi, step_value, 'next')
+
+    # Compute the end condition and convert it to a bool by comparing to 0.0.
+    end_condition = self.end.CodeGen()
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+    # Create the "after loop" block and insert it.
+    loop_end_block = g_llvm_builder.basic_block
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_end_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+    # Add a new entry to the PHI node for the backedge.
+    variable_phi.add_incoming(next_value, loop_end_block)
+
+    # Restore the unshadowed variable.
+    if old_value:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+# Expression class for a unary operator.
+class UnaryExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, operand):
+    self.operator = operator
+    self.operand = operand
+
+  def CodeGen(self):
+    operand = self.operand.CodeGen()
+    function = g_llvm_module.get_function_named('unary' + self.operator)
+    return g_llvm_builder.call(function, [operand], 'unop')
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes), as well as if it is an operator.
+class PrototypeNode(object):
+
+  def __init__(self, name, args, is_operator=False, precedence=0):
+    self.name = name
+    self.args = args
+    self.is_operator = is_operator
+    self.precedence = precedence
+
+  def IsBinaryOp(self):
+    return self.is_operator and len(self.args) == 2
+
+  def GetOperatorName(self):
+    assert self.is_operator
+    return self.name[-1]
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If the function took a different number of args, reject.
+      if len(function.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # If this is a binary operator, install its precedence.
+    if self.prototype.IsBinaryOp():
+      operator = self.prototype.GetOperatorName()
+      g_binop_precedence[operator] = self.prototype.precedence
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      if self.prototype.IsBinaryOp():
+        del g_binop_precedence[self.prototype.GetOperatorName()]
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens):
+    self.tokens = tokens
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return g_binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+  # primary ::= identifierexpr | numberexpr | parenexpr | ifexpr | forexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # unary ::= primary | unary_operator unary
+  def ParseUnary(self):
+    # If the current token is not an operator, it must be a primary expression.
+    if (not isinstance(self.current, CharacterToken) or
+        self.current in [CharacterToken('('), CharacterToken(',')]):
+      return self.ParsePrimary()
+
+    # If this is a unary operator, read it.
+    operator = self.current.char
+    self.Next()  # eat the operator.
+    return UnaryExpressionNode(operator, self.ParseUnary())
+
+  # binoprhs ::= (binary_operator unary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the unary expression after the binary operator.
+      right = self.ParseUnary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= unary binoprhs
+  def ParseExpression(self):
+    left = self.ParseUnary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      kind = 'normal'
+      function_name = self.current.name
+      self.Next()  # eat function name.
+    elif isinstance(self.current, UnaryToken):
+      kind = 'unary'
+      self.Next()  # eat 'unary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "unary".')
+      function_name = 'unary' + self.current.char
+      self.Next()  # eat the operator.
+    elif isinstance(self.current, BinaryToken):
+      kind = 'binary'
+      self.Next()  # eat 'binary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "binary".')
+      function_name = 'binary' + self.current.char
+      self.Next()  # eat the operator.
+      if isinstance(self.current, NumberToken):
+        if not 1 <= self.current.value <= 100:
+          raise RuntimeError('Invalid precedence: must be in range [1, 100].')
+        precedence = self.current.value
+        self.Next()  # eat the precedence.
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    if kind == 'unary' and len(arg_names) != 1:
+      raise RuntimeError('Invalid number of arguments for a unary operator.')
+    elif kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+  g_binop_precedence['*'] = 40
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw))
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Extending the language: mutable variables +/ SSA construction +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl7.html b/www/src/kaleidoscope/PythonLangImpl7.html new file mode 100644 index 0000000..208627c --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl7.html @@ -0,0 +1,1905 @@ + + + + + Kaleidoscope: Extending the Language: Mutable Variables / SSA + construction + + + + + + + + +
Kaleidoscope: Extending the Language: Mutable +Variables
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + +
Chapter 7 Introduction
+ + +
+ +

Welcome to Chapter 7 of the +"Implementing a language +with LLVM" tutorial. In chapters 1 through 6, we've built a very +respectable, albeit simple, functional +programming language. In our journey, we learned some parsing techniques, +how to build and represent an AST, how to build LLVM IR, and how to optimize +the resultant code as well as JIT compile it.

+ +

While Kaleidoscope is interesting as a functional language, the fact that it +is functional makes it "too easy" to generate LLVM IR for it. In particular, a +functional language makes it very easy to build LLVM IR directly in SSA form. +Since LLVM requires that the input code be in SSA form, this is a very nice +property and it is often unclear to newcomers how to generate code for an +imperative language with mutable variables.

+ +

The short (and happy) summary of this chapter is that there is no need for +your front-end to build SSA form: LLVM provides highly tuned and well tested +support for this, though the way it works is a bit unexpected for some.

+ +
+ + +
Why is this a hard problem?
+ + +
+ +

+To understand why mutable variables cause complexities in SSA construction, +consider this extremely simple C example: +

+ +
+
+int G, H;
+int test(_Bool Condition) {
+  int X;
+  if (Condition)
+    X = G;
+  else
+    X = H;
+  return X;
+}
+
+
+ +

In this case, we have the variable "X", whose value depends on the path +executed in the program. Because there are two different possible values for X +before the return instruction, a PHI node is inserted to merge the two values. +The LLVM IR that we want for this example looks like this:

+ +
+
+@G = weak global i32 0   ; type of @G is i32*
+@H = weak global i32 0   ; type of @H is i32*
+
+define i32 @test(i1 %Condition) {
+entry:
+	br i1 %Condition, label %cond_true, label %cond_false
+
+cond_true:
+	%X.0 = load i32* @G
+	br label %cond_next
+
+cond_false:
+	%X.1 = load i32* @H
+	br label %cond_next
+
+cond_next:
+	%X.2 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ]
+	ret i32 %X.2
+}
+
+
+ +

In this example, the loads from the G and H global variables are explicit in +the LLVM IR, and they live in the then/else branches of the if statement +(cond_true/cond_false). In order to merge the incoming values, the X.2 phi node +in the cond_next block selects the right value to use based on where control +flow is coming from: if control flow comes from the cond_false block, X.2 gets +the value of X.1. Alternatively, if control flow comes from cond_true, it gets +the value of X.0. The intent of this chapter is not to explain the details of +SSA form. For more information, see one of the many online +references.

+ +

The question for this article is "who places the phi nodes when lowering +assignments to mutable variables?". The issue here is that LLVM +requires that its IR be in SSA form: there is no "non-ssa" mode for it. +However, SSA construction requires non-trivial algorithms and data structures, +so it is inconvenient and wasteful for every front-end to have to reproduce this +logic.

+ +
+ + +
Memory in LLVM
+ + +
+ +

The 'trick' here is that while LLVM does require all register values to be +in SSA form, it does not require (or permit) memory objects to be in SSA form. +In the example above, note that the loads from G and H are direct accesses to +G and H: they are not renamed or versioned. This differs from some other +compiler systems, which do try to version memory objects. In LLVM, instead of +encoding dataflow analysis of memory into the LLVM IR, it is handled with Analysis Passes +which are computed on demand.

+ +

+With this in mind, the high-level idea is that we want to make a stack variable +(which lives in memory, because it is on the stack) for each mutable object in +a function. To take advantage of this trick, we need to talk about how LLVM +represents stack variables. +

+ +

In LLVM, all memory accesses are explicit with load/store instructions, and +it is carefully designed not to have (or need) an "address-of" operator. +Notice how the type of the @G/@H global variables is actually "i32*" even though +the variable is defined as "i32". What this means is that @G defines +space for an i32 in the global data area, but its name +actually refers to the address for that space. Stack variables work the same +way, except that instead of being declared with global variable definitions, +they are declared with the +LLVM alloca +instruction:

+ +
+
+define i32 @example() {
+entry:
+	%X = alloca i32           ; type of %X is i32*.
+	...
+	%tmp = load i32* %X       ; load the stack value %X from the stack.
+	%tmp2 = add i32 %tmp, 1   ; increment it
+	store i32 %tmp2, i32* %X  ; store it back
+	...
+
+
+ +

This code shows an example of how you can declare and manipulate a stack +variable in the LLVM IR. Stack memory allocated with the alloca instruction is +fully general: you can pass the address of the stack slot to functions, you can +store it in other variables, etc. In our example above, we could rewrite the +example to use the alloca technique to avoid using a PHI node:

+ +
+
+@G = weak global i32 0   ; type of @G is i32*
+@H = weak global i32 0   ; type of @H is i32*
+
+define i32 @test(i1 %Condition) {
+entry:
+	%X = alloca i32           ; type of %X is i32*.
+	br i1 %Condition, label %cond_true, label %cond_false
+
+cond_true:
+	%X.0 = load i32* @G
+        store i32 %X.0, i32* %X   ; Update X
+	br label %cond_next
+
+cond_false:
+	%X.1 = load i32* @H
+        store i32 %X.1, i32* %X   ; Update X
+	br label %cond_next
+
+cond_next:
+	%X.2 = load i32* %X       ; Read X
+	ret i32 %X.2
+}
+
+
+ +

With this, we have discovered a way to handle arbitrary mutable variables +without the need to create Phi nodes at all:

+ +
    +
  1. Each mutable variable becomes a stack allocation.
  2. +
  3. Each read of the variable becomes a load from the stack.
  4. +
  5. Each update of the variable becomes a store to the stack.
  6. +
  7. Taking the address of a variable just uses the stack address directly.
  8. +
+ +

While this solution has solved our immediate problem, it introduced another +one: we have now apparently introduced a lot of stack traffic for very simple +and common operations, a major performance problem. Fortunately for us, the +LLVM optimizer has a highly-tuned optimization pass named "mem2reg" that handles +this case, promoting allocas like this into SSA registers, inserting Phi nodes +as appropriate. If you run this example through the pass, for example, you'll +get:

+ +
+
+$ llvm-as < example.ll | opt -mem2reg | llvm-dis
+@G = weak global i32 0
+@H = weak global i32 0
+
+define i32 @test(i1 %Condition) {
+entry:
+	br i1 %Condition, label %cond_true, label %cond_false
+
+cond_true:
+	%X.0 = load i32* @G
+	br label %cond_next
+
+cond_false:
+	%X.1 = load i32* @H
+	br label %cond_next
+
+cond_next:
+	%X.01 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ]
+	ret i32 %X.01
+}
+
+
+ +

The mem2reg pass implements the standard "iterated dominance frontier" +algorithm for constructing SSA form and has a number of optimizations that speed +up (very common) degenerate cases. The mem2reg optimization pass is the answer +to dealing with mutable variables, and we highly recommend that you depend on +it. Note that mem2reg only works on variables in certain circumstances:

+ +
    +
  1. mem2reg is alloca-driven: it looks for allocas and if it can handle them, it +promotes them. It does not apply to global variables or heap allocations.
  2. + +
  3. mem2reg only looks for alloca instructions in the entry block of the +function. Being in the entry block guarantees that the alloca is only executed +once, which makes analysis simpler.
  4. + +
  5. mem2reg only promotes allocas whose uses are direct loads and stores. If +the address of the stack object is passed to a function, or if any funny pointer +arithmetic is involved, the alloca will not be promoted.
  6. + +
  7. mem2reg only works on allocas of first class +values (such as pointers, scalars and vectors), and only if the array size +of the allocation is 1 (or missing in the .ll file). mem2reg is not capable of +promoting structs or arrays to registers. Note that the "scalarrepl" pass is +more powerful and can promote structs, "unions", and arrays in many cases.
  8. + +
+ +

+All of these properties are easy to satisfy for most imperative languages, and +we'll illustrate it below with Kaleidoscope. The final question you may be +asking is: should I bother with this nonsense for my front-end? Wouldn't it be +better if I just did SSA construction directly, avoiding use of the mem2reg +optimization pass? In short, we strongly recommend that you use this technique +for building SSA form, unless there is an extremely good reason not to. Using +this technique is:

+ + + +

If nothing else, this makes it much easier to get your front-end up and +running, and is very simple to implement. Lets extend Kaleidoscope with mutable +variables now! +

+ +
+ + +
Mutable Variables in +Kaleidoscope
+ + +
+ +

Now that we know the sort of problem we want to tackle, lets see what this +looks like in the context of our little Kaleidoscope language. We're going to +add two features:

+ +
    +
  1. The ability to mutate variables with the '=' operator.
  2. +
  3. The ability to define new variables.
  4. +
+ +

While the first item is really what this is about, we only have variables +for incoming arguments as well as for induction variables, and redefining those +only goes so far :). Also, the ability to define new variables is a +useful thing regardless of whether you will be mutating them. Here's a +motivating example that shows how we could use these:

+ +
+
+# Define ':' for sequencing: as a low-precedence operator that ignores operands
+# and just returns the RHS.
+def binary : 1 (x y) y;
+
+# Recursive fib, we could do this before.
+def fib(x)
+  if (x < 3) then
+    1
+  else
+    fib(x-1) + fib(x-2)
+
+# Iterative fib.
+def fibi(x)
+  var a = 1, b = 1, c in
+  (for i = 3, i < x in
+     c = a + b :
+     a = b :
+     b = c) :
+  b
+
+# Call it.
+fibi(10)
+
+
+ +

+In order to mutate variables, we have to change our existing variables to use +the "alloca trick". Once we have that, we'll add our new operator, then extend +Kaleidoscope to support new variable definitions. +

+ +
+ + +
Adjusting Existing Variables for +Mutation
+ + +
+ +

+The symbol table in Kaleidoscope is managed at code generation time by the +g_named_values map. This map currently keeps track of the LLVM +"Value" that holds the double value for the named variable. In order to support +mutation, we need to change this slightly, so that it holds the memory +location of the variable in question. Note that this change is a +refactoring: it changes the structure of the code, but does not (by itself) +change the behavior of the compiler. All of these changes are isolated in the +Kaleidoscope code generator.

+ +

+At this point in Kaleidoscope's development, it only supports variables for two +things: incoming arguments to functions and the induction variable of 'for' +loops. For consistency, we'll allow mutation of these variables in addition to +other user-defined variables. This means that these will both need memory +locations. +

+ +

To start our transformation of Kaleidoscope, we will need to create the +allocas that we will store in g_named_values. We'll use a helper +function that ensures that the allocas are created in the entry block of the +function:

+ +
+
+# Creates an alloca instruction in the entry block of the function. This is used
+# for mutable variables.
+def CreateEntryBlockAlloca(function, var_name):
+  entry = function.get_entry_basic_block()
+  builder = Builder.new(entry)
+  builder.position_at_beginning(entry)
+  return builder.alloca(Type.double(), var_name)
+
+
+ +

This code creates a temporary llvm.core.Builder that is pointing at +the first instruction of the entry block. It then creates an alloca with the +expected name and returns it. Because all values in Kaleidoscope are doubles, +there is no need to pass in a type to use.

+ +

With this in place, the first functionality change we want to make is to +variable references. In our new scheme, variables live on the stack, so code +generating a reference to them actually needs to produce a load from the stack +slot:

+ +
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_llvm_builder.load(g_named_values[self.name], self.name)
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+
+ +

As you can see, this is pretty straightforward. Now we need to update the +things that define the variables to set up the alloca. We'll start with +ForExpressionNode.CodeGen (see the full code +listing for the unabridged code):

+ +
+
+  def CodeGen(self):
+    function = g_llvm_builder.basic_block.function
+
+    # Create an alloca for the variable in the entry block.
+    alloca = CreateEntryBlockAlloca(function, self.loop_variable)
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Store the value into the alloca.
+    g_llvm_builder.store(start_value, alloca)
+    ...
+    # Compute the end condition.
+    end_condition = self.end.CodeGen()
+
+    # Reload, increment, and restore the alloca.  This handles the case where
+    # the body of the loop mutates the variable.
+    cur_value = g_llvm_builder.load(alloca, self.loop_variable)
+    next_value = g_llvm_builder.fadd(cur_value, step_value, 'nextvar')
+    g_llvm_builder.store(next_value, alloca)
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+    ...
+
+
+ +

This code is virtually identical to the code before we allowed mutable variables. +The big difference is that we no longer have to construct a PHI node, and we use +load/store to access the variable as needed.

+ +

To support mutable argument variables, we need to also make allocas for them. +The code for this is also pretty simple:

+ +
+
+class PrototypeNode(object):
+  ...
+  # Create an alloca for each argument and register the argument in the symbol
+  # table so that references to it will succeed.
+  def CreateArgumentAllocas(self, function):
+    for arg_name, arg in zip(self.args, function.args):
+      alloca = CreateEntryBlockAlloca(function, arg_name)
+      g_llvm_builder.store(arg, alloca)
+      g_named_values[arg_name] =  alloca
+
+
+ +

For each argument, we make an alloca, store the input value to the function +into the alloca, and register the alloca as the memory location for the +argument. This method gets invoked by FunctionNode.CodeGen right after +it sets up the entry block for the function.

+ +

The final missing piece is adding the mem2reg pass, which allows us to get +good codegen once again:

+ +
+
+from llvm.passes import (PASS_PROMOTE_MEMORY_TO_REGISTER,
+                         PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+...
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Promote allocas to registers.
+  g_llvm_pass_manager.add(PASS_PROMOTE_MEMORY_TO_REGISTER)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+
+
+ +

It is interesting to see what the code looks like before and after the +mem2reg optimization runs. For example, this is the before/after code for our +recursive fib function. Before the optimization:

+ +
+
+define double @fib(double %x) {
+entry:
+	%x1 = alloca double
+	store double %x, double* %x1
+	%x2 = load double* %x1
+	%cmptmp = fcmp ult double %x2, 3.000000e+00
+	%booltmp = uitofp i1 %cmptmp to double
+	%ifcond = fcmp one double %booltmp, 0.000000e+00
+	br i1 %ifcond, label %then, label %else
+
+then:		; preds = %entry
+	br label %ifcont
+
+else:		; preds = %entry
+	%x3 = load double* %x1
+	%subtmp = fsub double %x3, 1.000000e+00
+	%calltmp = call double @fib(double %subtmp)
+	%x4 = load double* %x1
+	%subtmp5 = fsub double %x4, 2.000000e+00
+	%calltmp6 = call double @fib(double %subtmp5)
+	%addtmp = fadd double %calltmp, %calltmp6
+	br label %ifcont
+
+ifcont:		; preds = %else, %then
+	%iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ]
+	ret double %iftmp
+}
+
+
+ +

Here there is only one variable (x, the input argument) but you can still +see the extremely simple-minded code generation strategy we are using. In the +entry block, an alloca is created, and the initial input value is stored into +it. Each reference to the variable does a reload from the stack. Also, note +that we didn't modify the if/then/else expression, so it still inserts a PHI +node. While we could make an alloca for it, it is actually easier to create a +PHI node for it, so we still just make the PHI.

+ +

Here is the code after the mem2reg pass runs:

+ +
+
+define double @fib(double %x) {
+entry:
+	%cmptmp = fcmp ult double %x, 3.000000e+00
+	%booltmp = uitofp i1 %cmptmp to double
+	%ifcond = fcmp one double %booltmp, 0.000000e+00
+	br i1 %ifcond, label %then, label %else
+
+then:
+	br label %ifcont
+
+else:
+	%subtmp = fsub double %x, 1.000000e+00
+	%calltmp = call double @fib(double %subtmp)
+	%subtmp5 = fsub double %x, 2.000000e+00
+	%calltmp6 = call double @fib(double %subtmp5)
+	%addtmp = fadd double %calltmp, %calltmp6
+	br label %ifcont
+
+ifcont:		; preds = %else, %then
+	%iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ]
+	ret double %iftmp
+}
+
+
+ +

This is a trivial case for mem2reg, since there are no redefinitions of the +variable. The point of showing this is to calm your tension about inserting +such blatent inefficiencies :).

+ +

After the rest of the optimizers run, we get:

+ +
+
+define double @fib(double %x) {
+entry:
+	%cmptmp = fcmp ult double %x, 3.000000e+00
+	%booltmp = uitofp i1 %cmptmp to double
+	%ifcond = fcmp ueq double %booltmp, 0.000000e+00
+	br i1 %ifcond, label %else, label %ifcont
+
+else:
+	%subtmp = fsub double %x, 1.000000e+00
+	%calltmp = call double @fib(double %subtmp)
+	%subtmp5 = fsub double %x, 2.000000e+00
+	%calltmp6 = call double @fib(double %subtmp5)
+	%addtmp = fadd double %calltmp, %calltmp6
+	ret double %addtmp
+
+ifcont:
+	ret double 1.000000e+00
+}
+
+
+ +

Here we see that the simplifycfg pass decided to clone the return instruction +into the end of the 'else' block. This allowed it to eliminate some branches +and the PHI node.

+ +

Now that all symbol table references are updated to use stack variables, +we'll add the assignment operator.

+ +
+ + +
New Assignment Operator
+ + +
+ +

With our current framework, adding a new assignment operator is really +simple. We will parse it just like any other binary operator, but handle it +internally (instead of allowing the user to define it). The first step is to +set a precedence:

+ +
+
+def main():
+  ...
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  g_binop_precedence['='] = 2
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+
+
+ +

Now that the parser knows the precedence of the binary operator, it takes +care of all the parsing and AST generation. We just need to implement codegen +for the assignment operator. This looks like:

+ +
+
+class BinaryOperatorExpressionNode(ExpressionNode):
+  ...
+  def CodeGen(self):
+    # A special case for '=' because we don't want to emit the LHS as an
+    # expression.
+    if self.operator == '=':
+      # Assignment requires the LHS to be an identifier.
+      if not isinstance(self.left, VariableExpressionNode):
+        raise RuntimeError('Destination of "=" must be a variable.')
+
+
+ +

Unlike the rest of the binary operators, our assignment operator doesn't +follow the "emit LHS, emit RHS, do computation" model. As such, it is handled +as a special case before the other binary operators are handled. The other +strange thing is that it requires the LHS to be a variable. It is invalid to +have "(x+1) = expr" - only things like "x = expr" are allowed. +

+ +
+
+      # Codegen the RHS.
+      value = self.right.CodeGen()
+
+      # Look up the name.
+      variable = g_named_values[self.left.name]
+
+      # Store the value and return it.
+      g_llvm_builder.store(value, variable)
+
+      return value
+    ...
+
+
+ +

Once we have the variable, CodeGening the assignment is straightforward: +we emit the RHS of the assignment, create a store, and return the computed +value. Returning a value allows for chained assignments like "X = (Y = Z)".

+ +

Now that we have an assignment operator, we can mutate loop variables and +arguments. For example, we can now run code like this:

+ +
+
+# Function to print a double.
+extern printd(x)
+
+# Define ':' for sequencing: as a low-precedence operator that ignores operands
+# and just returns the RHS.
+def binary : 1 (x y) y
+
+def test(x)
+  printd(x) :
+  x = 4 :
+  printd(x)
+
+test(123)
+
+
+ +

When run, this example prints "123" and then "4", showing that we did +actually mutate the value! Okay, we have now officially implemented our goal: +getting this to work requires SSA construction in the general case. However, +to be really useful, we want the ability to define our own local variables. +Let's add this next! +

+ +
+ + +
User-defined Local +Variables
+ + +
+ +

Adding var/in is just like any other other extensions we made to +Kaleidoscope: we extend the lexer, the parser, the AST and the code generator. +The first step for adding our new 'var/in' construct is to extend the lexer. +As before, this is pretty trivial, the code looks like this:

+ +
+
+...
+class UnaryToken(object): pass
+class VarToken(object): pass
+...
+def Tokenize(string):
+   ...
+      elif identifier == 'unary':
+        yield UnaryToken()
+      elif identifier == 'var':
+        yield VarToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +

The next step is to define the AST node that we will construct. For var/in, +it looks like this:

+ +
+
+# Expression class for var/in.
+class VarExpressionNode(ExpressionNode):
+
+  def __init__(self, variables, body):
+    self.variables = variables
+    self.body = body
+
+  def CodeGen(self):
+    ...
+
+
+ +

var/in allows a list of names to be defined all at once, and each name can +optionally have an initializer value. As such, we capture this information in +the variables list. Also, var/in has a body, this body is allowed to access +the variables defined by the var/in.

+ +

With this in place, we can define the parser pieces. The first thing we do +is add it as a primary expression:

+ +
+
+  # primary ::=
+  #   dentifierexpr | numberexpr | parenexpr | ifexpr | forexpr | varexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif isinstance(self.current, VarToken):
+      return self.ParseVarExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+
+ +

Next we define ParseVarExpr:

+ +
+
+  # varexpr ::= 'var' (identifier ('=' expression)?)+ 'in' expression
+  def ParseVarExpr(self):
+    self.Next()  # eat 'var'.
+
+    variables = {}
+
+    # At least one variable name is required.
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after "var".')
+
+
+ +

The first part of this code parses the list of identifier/expr pairs into the +local variables list. + +

+
+    while True:
+      var_name = self.current.name
+      self.Next()  # eat the identifier.
+
+      # Read the optional initializer.
+      if self.current == CharacterToken('='):
+        self.Next()  # eat '='.
+        variables[var_name] = self.ParseExpression()
+      else:
+        variables[var_name] = None
+
+      # End of var list, exit loop.
+      if self.current != CharacterToken(','):
+        break
+      self.Next()  # eat ','.
+
+      if not isinstance(self.current, IdentifierToken):
+        raise RuntimeError('Expected identifier after "," in a var expression.')
+
+
+ +

Once all the variables are parsed, we then parse the body and create the +AST node:

+ +
+
+    # At this point, we have to have 'in'.
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" keyword after "var".')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return VarExpressionNode(variables, body)
+
+
+ +

Now that we can parse and represent the code, we need to support emission of +LLVM IR for it. This code starts out with:

+ +
+
+class VarExpressionNode(ExpressionNode):
+  ...
+  def CodeGen(self):
+    old_bindings = {}
+    function = g_llvm_builder.basic_block.function
+
+    # Register all variables and emit their initializer.
+    for var_name, var_expression in self.variables.iteritems():
+      # Emit the initializer before adding the variable to scope, this prevents
+      # the initializer from referencing the variable itself, and permits stuff
+      # like this:
+      #  var a = 1 in
+      #    var a = a in ...   # refers to outer 'a'.
+      if var_expression is not None:
+        var_value = var_expression.CodeGen()
+      else:
+        var_value = Constant.real(Type.double(), 0)
+
+      alloca = CreateEntryBlockAlloca(function, var_name)
+      g_llvm_builder.store(var_value, alloca)
+
+      # Remember the old variable binding so that we can restore the binding
+      # when we unrecurse.
+      old_bindings[var_name] = g_named_values.get(var_name, None)
+
+      # Remember this binding.
+      g_named_values[var_name] = alloca
+
+
+ +

Basically it loops over all the variables, installing them one at a time. +For each variable we put into the symbol table, we remember the previous value +that we replace in old_bindings.

+ +

There are more comments here than code. The basic idea is that we emit the +initializer, create the alloca, then update the symbol table to point to it. +Once all the variables are installed in the symbol table, we evaluate the body +of the var/in expression:

+ +
+
+    # Codegen the body, now that all vars are in scope.
+    body = self.body.CodeGen()
+
+
+ +

Finally, before returning, we restore the previous variable bindings:

+ +
+
+    # Pop all our variables from scope.
+    for var_name in self.variables:
+      if old_bindings[var_name] is not None:
+        g_named_values[var_name] = old_bindings[var_name]
+      else:
+        del g_named_values[var_name]
+
+    # Return the body computation.
+    return body
+
+
+ +

The end result of all of this is that we get properly scoped variable +definitions, and we even (trivially) allow mutation of them :).

+ +

With this, we completed what we set out to do. Our nice iterative fib +example from the intro compiles and runs just fine. The mem2reg pass optimizes +all of our stack variables into SSA registers, inserting PHI nodes where needed, +and our front-end remains simple: no "iterated dominance frontier" computation +anywhere in sight.

+ +
+ + +
Full Code Listing
+ + +
+ +

+Here is the complete code listing for our running example, enhanced with mutable +variables and var/in support:

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+
+from llvm.core import FCMP_ULT, FCMP_ONE
+from llvm.passes import (PASS_PROMOTE_MEMORY_TO_REGISTER,
+                         PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+# The binary operator precedence chart.
+g_binop_precedence = {}
+
+# Creates an alloca instruction in the entry block of the function. This is used
+# for mutable variables.
+def CreateEntryBlockAlloca(function, var_name):
+  entry = function.get_entry_basic_block()
+  builder = Builder.new(entry)
+  builder.position_at_beginning(entry)
+  return builder.alloca(Type.double(), var_name)
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object): pass
+class DefToken(object): pass
+class ExternToken(object): pass
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+class BinaryToken(object): pass
+class UnaryToken(object): pass
+class VarToken(object): pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      elif identifier == 'binary':
+        yield BinaryToken()
+      elif identifier == 'unary':
+        yield UnaryToken()
+      elif identifier == 'var':
+        yield VarToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_llvm_builder.load(g_named_values[self.name], self.name)
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    # A special case for '=' because we don't want to emit the LHS as an
+    # expression.
+    if self.operator == '=':
+      # Assignment requires the LHS to be an identifier.
+      if not isinstance(self.left, VariableExpressionNode):
+        raise RuntimeError('Destination of "=" must be a variable.')
+
+      # Codegen the RHS.
+      value = self.right.CodeGen()
+
+      # Look up the name.
+      variable = g_named_values[self.left.name]
+
+      # Store the value and return it.
+      g_llvm_builder.store(value, variable)
+
+      return value
+
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      function = g_llvm_module.get_function_named('binary' + self.operator)
+      return g_llvm_builder.call(function, [left, right], 'binop')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    # Output this as:
+    #   var = alloca double
+    #   ...
+    #   start = startexpr
+    #   store start -> var
+    #   goto loop
+    # loop:
+    #   ...
+    #   bodyexpr
+    #   ...
+    # loopend:
+    #   step = stepexpr
+    #   endcond = endexpr
+    #
+    #   curvar = load var
+    #   nextvar = curvar + step
+    #   store nextvar -> var
+    #   br endcond, loop, endloop
+    # outloop:
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create an alloca for the variable in the entry block.
+    alloca = CreateEntryBlockAlloca(function, self.loop_variable)
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Store the value into the alloca.
+    g_llvm_builder.store(start_value, alloca)
+
+    # Make the new basic block for the loop, inserting after current block.
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fall through from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block)
+
+    # Within the loop, the variable is defined equal to the alloca.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = alloca
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    # Compute the end condition.
+    end_condition = self.end.CodeGen()
+
+    # Reload, increment, and restore the alloca.  This handles the case where
+    # the body of the loop mutates the variable.
+    cur_value = g_llvm_builder.load(alloca, self.loop_variable)
+    next_value = g_llvm_builder.fadd(cur_value, step_value, 'nextvar')
+    g_llvm_builder.store(next_value, alloca)
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+    # Create the "after loop" block and insert it.
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+    # Restore the unshadowed variable.
+    if old_value is not None:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+# Expression class for a unary operator.
+class UnaryExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, operand):
+    self.operator = operator
+    self.operand = operand
+
+  def CodeGen(self):
+    operand = self.operand.CodeGen()
+    function = g_llvm_module.get_function_named('unary' + self.operator)
+    return g_llvm_builder.call(function, [operand], 'unop')
+
+# Expression class for var/in.
+class VarExpressionNode(ExpressionNode):
+
+  def __init__(self, variables, body):
+    self.variables = variables
+    self.body = body
+
+  def CodeGen(self):
+    old_bindings = {}
+    function = g_llvm_builder.basic_block.function
+
+    # Register all variables and emit their initializer.
+    for var_name, var_expression in self.variables.iteritems():
+      # Emit the initializer before adding the variable to scope, this prevents
+      # the initializer from referencing the variable itself, and permits stuff
+      # like this:
+      #  var a = 1 in
+      #    var a = a in ...   # refers to outer 'a'.
+      if var_expression is not None:
+        var_value = var_expression.CodeGen()
+      else:
+        var_value = Constant.real(Type.double(), 0)
+
+      alloca = CreateEntryBlockAlloca(function, var_name)
+      g_llvm_builder.store(var_value, alloca)
+
+      # Remember the old variable binding so that we can restore the binding
+      # when we unrecurse.
+      old_bindings[var_name] = g_named_values.get(var_name, None)
+
+      # Remember this binding.
+      g_named_values[var_name] = alloca
+
+    # Codegen the body, now that all vars are in scope.
+    body = self.body.CodeGen()
+
+    # Pop all our variables from scope.
+    for var_name in self.variables:
+      if old_bindings[var_name] is not None:
+        g_named_values[var_name] = old_bindings[var_name]
+      else:
+        del g_named_values[var_name]
+
+    # Return the body computation.
+    return body
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes), as well as if it is an operator.
+class PrototypeNode(object):
+
+  def __init__(self, name, args, is_operator=False, precedence=0):
+    self.name = name
+    self.args = args
+    self.is_operator = is_operator
+    self.precedence = precedence
+
+  def IsBinaryOp(self):
+    return self.is_operator and len(self.args) == 2
+
+  def GetOperatorName(self):
+    assert self.is_operator
+    return self.name[-1]
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If the function took a different number of args, reject.
+      if len(function.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+
+    return function
+
+  # Create an alloca for each argument and register the argument in the symbol
+  # table so that references to it will succeed.
+  def CreateArgumentAllocas(self, function):
+    for arg_name, arg in zip(self.args, function.args):
+      alloca = CreateEntryBlockAlloca(function, arg_name)
+      g_llvm_builder.store(arg, alloca)
+      g_named_values[arg_name] =  alloca
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # If this is a binary operator, install its precedence.
+    if self.prototype.IsBinaryOp():
+      operator = self.prototype.GetOperatorName()
+      g_binop_precedence[operator] = self.prototype.precedence
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Add all arguments to the symbol table and create their allocas.
+    self.prototype.CreateArgumentAllocas(function)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      if self.prototype.IsBinaryOp():
+        del g_binop_precedence[self.prototype.GetOperatorName()]
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens):
+    self.tokens = tokens
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return g_binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+  # varexpr ::= 'var' (identifier ('=' expression)?)+ 'in' expression
+  def ParseVarExpr(self):
+    self.Next()  # eat 'var'.
+
+    variables = {}
+
+    # At least one variable name is required.
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after "var".')
+
+    while True:
+      var_name = self.current.name
+      self.Next()  # eat the identifier.
+
+      # Read the optional initializer.
+      if self.current == CharacterToken('='):
+        self.Next()  # eat '='.
+        variables[var_name] = self.ParseExpression()
+      else:
+        variables[var_name] = None
+
+      # End of var list, exit loop.
+      if self.current != CharacterToken(','):
+        break
+      self.Next()  # eat ','.
+
+      if not isinstance(self.current, IdentifierToken):
+        raise RuntimeError('Expected identifier after "," in a var expression.')
+
+    # At this point, we have to have 'in'.
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" keyword after "var".')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return VarExpressionNode(variables, body)
+
+  # primary ::=
+  #   dentifierexpr | numberexpr | parenexpr | ifexpr | forexpr | varexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif isinstance(self.current, VarToken):
+      return self.ParseVarExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # unary ::= primary | unary_operator unary
+  def ParseUnary(self):
+    # If the current token is not an operator, it must be a primary expression.
+    if (not isinstance(self.current, CharacterToken) or
+        self.current in [CharacterToken('('), CharacterToken(',')]):
+      return self.ParsePrimary()
+
+    # If this is a unary operator, read it.
+    operator = self.current.char
+    self.Next()  # eat the operator.
+    return UnaryExpressionNode(operator, self.ParseUnary())
+
+  # binoprhs ::= (binary_operator unary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the unary expression after the binary operator.
+      right = self.ParseUnary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= unary binoprhs
+  def ParseExpression(self):
+    left = self.ParseUnary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      kind = 'normal'
+      function_name = self.current.name
+      self.Next()  # eat function name.
+    elif isinstance(self.current, UnaryToken):
+      kind = 'unary'
+      self.Next()  # eat 'unary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "unary".')
+      function_name = 'unary' + self.current.char
+      self.Next()  # eat the operator.
+    elif isinstance(self.current, BinaryToken):
+      kind = 'binary'
+      self.Next()  # eat 'binary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "binary".')
+      function_name = 'binary' + self.current.char
+      self.Next()  # eat the operator.
+      if isinstance(self.current, NumberToken):
+        if not 1 <= self.current.value <= 100:
+          raise RuntimeError('Invalid precedence: must be in range [1, 100].')
+        precedence = self.current.value
+        self.Next()  # eat the precedence.
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    if kind == 'unary' and len(arg_names) != 1:
+      raise RuntimeError('Invalid number of arguments for a unary operator.')
+    elif kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      raise#print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      raise#print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Promote allocas to registers.
+  g_llvm_pass_manager.add(PASS_PROMOTE_MEMORY_TO_REGISTER)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  g_binop_precedence['='] = 2
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+  g_binop_precedence['*'] = 40
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready<',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw))
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Conclusion and other useful LLVM +tidbits +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/src/kaleidoscope/PythonLangImpl8.html b/www/src/kaleidoscope/PythonLangImpl8.html new file mode 100644 index 0000000..6f65b70 --- /dev/null +++ b/www/src/kaleidoscope/PythonLangImpl8.html @@ -0,0 +1,375 @@ + + + + + Kaleidoscope: Conclusion and other useful LLVM tidbits + + + + + + + +
Kaleidoscope: Conclusion and other useful LLVM + tidbits
+ + + + +
+

Written by Chris Lattner

+
+ + +
Tutorial Conclusion
+ + +
+ +

Welcome to the the final chapter of the +"Implementing a language +with LLVM" tutorial. In the course of this tutorial, we have grown +our little Kaleidoscope language from being a useless toy, to being a +semi-interesting (but probably still useless) toy. :)

+ +

It is interesting to see how far we've come, and how little code it has +taken. We built the entire lexer, parser, AST, code generator, and an +interactive run-loop (with a JIT!) by-hand in under 540 lines of +(non-comment/non-blank) code.

+ +

Our little language supports a couple of interesting features: it supports +user defined binary and unary operators, it uses JIT compilation for immediate +evaluation, and it supports a few control flow constructs with SSA construction. +

+ +

Part of the idea of this tutorial was to show you how easy and fun it can be +to define, build, and play with languages. Building a compiler need not be a +scary or mystical process! Now that you've seen some of the basics, I strongly +encourage you to take the code and hack on it. For example, try adding:

+ + + +

+Have fun - try doing something crazy and unusual. Building a language like +everyone else always has, is much less fun than trying something a little crazy +or off the wall and seeing how it turns out. If you get stuck or want to talk +about it, feel free to email the llvmdev mailing +list: it has lots of people who are interested in languages and are often +willing to help out. +

+ +

Before we end this tutorial, I want to talk about some "tips and tricks" for +generating LLVM IR. These are some of the more subtle things that may not be +obvious, but are very useful if you want to take advantage of LLVM's +capabilities.

+ +
+ + +
Properties of the LLVM +IR
+ + +
+ +

We have a couple common questions about code in the LLVM IR form - let's just +get these out of the way right now, shall we?

+ +
+ + +
Target +Independence
+ + +
+ +

Kaleidoscope is an example of a "portable language": any program written in +Kaleidoscope will work the same way on any target that it runs on. Many other +languages have this property, e.g. LISP, Java, Haskell, Javascript, Python, etc. +(note that while these languages are portable, not all their libraries are).

+ +

One nice aspect of LLVM is that it is often capable of preserving target +independence in the IR: you can take the LLVM IR for a Kaleidoscope-compiled +program and run it on any target that LLVM supports, even emitting C code and +compiling that on targets that LLVM doesn't support natively. You can trivially +tell that the Kaleidoscope compiler generates target-independent code because it +never queries for any target-specific information when generating code.

+ +

The fact that LLVM provides a compact, target-independent, representation for +code gets a lot of people excited. Unfortunately, these people are usually +thinking about C or a language from the C family when they are asking questions +about language portability. I say "unfortunately", because there is really no +way to make (fully general) C code portable, other than shipping the source code +around (and of course, C source code is not actually portable in general +either - ever port a really old application from 32- to 64-bits?).

+ +

The problem with C (again, in its full generality) is that it is heavily +laden with target specific assumptions. As one simple example, the preprocessor +often destructively removes target-independence from the code when it processes +the input text:

+ +
+
+#ifdef __i386__
+  int X = 1;
+#else
+  int X = 42;
+#endif
+
+
+ +

While it is possible to engineer more and more complex solutions to problems +like this, it cannot be solved in full generality in a way that is better than +shipping the actual source code.

+ +

That said, there are interesting subsets of C that can be made portable. If +you are willing to fix primitive types to a fixed size (say int = 32-bits, +and long = 64-bits), don't care about ABI compatibility with existing binaries, +and are willing to give up some other minor features, you can have portable +code. This can make sense for specialized domains such as an +in-kernel language.

+ +
+ + +
Safety Guarantees
+ + +
+ +

Many of the languages above are also "safe" languages: it is impossible for +a program written in Java to corrupt its address space and crash the process +(assuming the JVM has no bugs). +Safety is an interesting property that requires a combination of language +design, runtime support, and often operating system support.

+ +

It is certainly possible to implement a safe language in LLVM, but LLVM IR +does not itself guarantee safety. The LLVM IR allows unsafe pointer casts, +use after free bugs, buffer over-runs, and a variety of other problems. Safety +needs to be implemented as a layer on top of LLVM and, conveniently, several +groups have investigated this. Ask on the llvmdev mailing +list if you are interested in more details.

+ +
+ + +
Language-Specific +Optimizations
+ + +
+ +

One thing about LLVM that turns off many people is that it does not solve all +the world's problems in one system (sorry 'world hunger', someone else will have +to solve you some other day). One specific complaint is that people perceive +LLVM as being incapable of performing high-level language-specific optimization: +LLVM "loses too much information".

+ +

Unfortunately, this is really not the place to give you a full and unified +version of "Chris Lattner's theory of compiler design". Instead, I'll make a +few observations:

+ +

First, you're right that LLVM does lose information. For example, as of this +writing, there is no way to distinguish in the LLVM IR whether an SSA-value came +from a C "int" or a C "long" on an ILP32 machine (other than debug info). Both +get compiled down to an 'i32' value and the information about what it came from +is lost. The more general issue here, is that the LLVM type system uses +"structural equivalence" instead of "name equivalence". Another place this +surprises people is if you have two types in a high-level language that have the +same structure (e.g. two different structs that have a single int field): these +types will compile down into a single LLVM type and it will be impossible to +tell what it came from.

+ +

Second, while LLVM does lose information, LLVM is not a fixed target: we +continue to enhance and improve it in many different ways. In addition to +adding new features (LLVM did not always support exceptions or debug info), we +also extend the IR to capture important information for optimization (e.g. +whether an argument is sign or zero extended, information about pointers +aliasing, etc). Many of the enhancements are user-driven: people want LLVM to +include some specific feature, so they go ahead and extend it.

+ +

Third, it is possible and easy to add language-specific +optimizations, and you have a number of choices in how to do it. As one trivial +example, it is easy to add language-specific optimization passes that +"know" things about code compiled for a language. In the case of the C family, +there is an optimization pass that "knows" about the standard C library +functions. If you call "exit(0)" in main(), it knows that it is safe to +optimize that into "return 0;" because C specifies what the 'exit' +function does.

+ +

In addition to simple library knowledge, it is possible to embed a variety of +other language-specific information into the LLVM IR. If you have a specific +need and run into a wall, please bring the topic up on the llvmdev list. At the +very worst, you can always treat LLVM as if it were a "dumb code generator" and +implement the high-level optimizations you desire in your front-end, on the +language-specific AST. +

+ +
+ + +
Tips and Tricks
+ + +
+ +

There is a variety of useful tips and tricks that you come to know after +working on/with LLVM that aren't obvious at first glance. Instead of letting +everyone rediscover them, this section talks about some of these issues.

+ +
+ + +
Implementing portable +offsetof/sizeof
+ + +
+ +

One interesting thing that comes up, if you are trying to keep the code +generated by your compiler "target independent", is that you often need to know +the size of some LLVM type or the offset of some field in an llvm structure. +For example, you might need to pass the size of a type into a function that +allocates memory.

+ +

Unfortunately, this can vary widely across targets: for example the width of +a pointer is trivially target-specific. However, there is a clever +way to use the getelementptr instruction that allows you to compute this +in a portable way.

+ +
+ + +
Garbage Collected +Stack Frames
+ + +
+ +

Some languages want to explicitly manage their stack frames, often so that +they are garbage collected or to allow easy implementation of closures. There +are often better ways to implement these features than explicit stack frames, +but LLVM +does support them, if you want. It requires your front-end to convert the +code into Continuation +Passing Style and the use of tail calls (which LLVM also supports).

+ +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/about.html b/www/web/about.html index 26794c5..bf179ec 100644 --- a/www/web/about.html +++ b/www/web/about.html @@ -2,7 +2,7 @@ - + @@ -43,7 +43,7 @@ the llvm-py contributors.

diff --git a/www/web/contribute.html b/www/web/contribute.html index 9e2b7c0..e8b1da2 100644 --- a/www/web/contribute.html +++ b/www/web/contribute.html @@ -2,7 +2,7 @@ - + @@ -91,7 +91,7 @@ update and merge before sending patches etc.

diff --git a/www/web/download.html b/www/web/download.html index 613152f..e4d16ba 100644 --- a/www/web/download.html +++ b/www/web/download.html @@ -2,7 +2,7 @@ - + @@ -48,6 +48,7 @@ below). 0.6 works only with LLVM 2.7.

package.

+

Changelog

@@ -129,10 +130,11 @@ package.

* Initial release.
+ diff --git a/www/web/examples.html b/www/web/examples.html index aba1de7..bf8d69c 100644 --- a/www/web/examples.html +++ b/www/web/examples.html @@ -2,7 +2,7 @@ - + @@ -31,9 +31,11 @@ +

Examples

-

A Simple Function

+
+

A Simple Function

Let’s create a (LLVM) module containing a single function, corresponding to the C function:

@@ -106,7 +108,9 @@ entry: ret i32 %tmp }
-

Adding JIT Compilation

+
+
+

Adding JIT Compilation

Let’s compile this function in-memory and run it.

+ + + +
+ +

+Welcome to the "Implementing a language with LLVM" tutorial. This tutorial +runs through the implementation of a simple language, showing how fun and +easy it can be. This tutorial will get you up and started as well as help to +build a framework you can extend to other languages. The code in this tutorial +can also be used as a playground to hack on other LLVM specific things. +

+ +

The goal of this tutorial is to progressively unveil our language, describing +how it is built up over time. This will let us cover a fairly broad range of +language design and LLVM-specific usage issues, showing and explaining the code +for it all along the way, without overwhelming you with tons of details up +front.

+ +

It is useful to point out ahead of time that this tutorial is really about +teaching compiler techniques and LLVM specifically, not about teaching +modern and sane software engineering principles. In practice, this means that +we'll take a number of shortcuts to simplify the exposition. If you dig in and +use the code as a basis for future projects, fixing its deficiencies shouldn't +be hard.

+ +

We've tried to put this tutorial together in a way that makes chapters easy +to skip over if you are already familiar with or are uninterested in the various +pieces. The structure of the tutorial is:

+ +
    +
  • Chapter #1: Introduction to the Kaleidoscope +language, and the definition of its Lexer - This shows where we are going +and the basic functionality that we want it to do. In order to make this +tutorial maximally understandable and hackable, we choose to implement +everything in Python instead of using lexer and parser generators. LLVM +obviously works just fine with such tools, feel free to use one if you prefer. +
  • +
  • Chapter #2: Implementing a Parser and +AST - With the lexer in place, we can talk about parsing techniques and +basic AST construction. This tutorial describes recursive descent parsing and +operator precedence parsing. Nothing in Chapters 1 or 2 is LLVM-specific, +the code doesn't even import the LLVM modules at this point. :)
  • +
  • Chapter #3: Code generation to LLVM +IR - With the AST ready, we can show off how easy generation of LLVM IR +really is.
  • +
  • Chapter #4: Adding JIT and Optimizer +Support - Because a lot of people are interested in using LLVM as a JIT, +we'll dive right into it and show you the 3 lines it takes to add JIT support. +LLVM is also useful in many other ways, but this is one simple and "sexy" way +to shows off its power. :)
  • +
  • Chapter #5: Extending the Language: +Control Flow - With the language up and running, we show how to extend it +with control flow operations (if/then/else and a 'for' loop). This gives us a +chance to talk about simple SSA construction and control flow.
  • +
  • Chapter #6: Extending the Language: +User-defined Operators - This is a silly but fun chapter that talks about +extending the language to let the user program define their own arbitrary +unary and binary operators (with assignable precedence!). This lets us build a +significant piece of the "language" as library routines.
  • +
  • Chapter #7: Extending the Language: +Mutable Variables - This chapter talks about adding user-defined local +variables along with an assignment operator. The interesting part about this +is how easy and trivial it is to construct SSA form in LLVM: no, LLVM does +not require your front-end to construct SSA form!
  • +
  • Chapter #8: Conclusion and other +useful LLVM tidbits - This chapter wraps up the series by talking about +potential ways to extend the language, but also includes a bunch of pointers to +info about "special topics" like adding garbage collection support, exceptions, +debugging, support for "spaghetti stacks", and a bunch of other tips and +tricks.
  • + +
+ +

By the end of the tutorial, we'll have written a bit less than 540 lines of +non-comment, non-blank, lines of code. With this small amount of code, we'll +have built up a very reasonable compiler for a non-trivial language including +a hand-written lexer, parser, AST, as well as code generation support with a JIT +compiler. While other systems may have interesting "hello world" tutorials, +I think the breadth of this tutorial is a great testament to the strengths of +LLVM and why you should consider it if you're interested in language or compiler +design.

+ +

A note about this tutorial: we expect you to extend the language and play +with it on your own. Take the code and go crazy hacking away at it, compilers +don't need to be scary creatures - it can be a lot of fun to play with +languages!

+ +
+ + + + + +
+ +

This tutorial will be illustrated with a toy language that we'll call +"Kaleidoscope" (derived +from "meaning beautiful, form, and view"). +Kaleidoscope is a procedural language that allows you to define functions, use +conditionals, math, etc. Over the course of the tutorial, we'll extend +Kaleidoscope to support the if/then/else construct, a for loop, user defined +operators, JIT compilation with a simple command line interface, etc.

+ +

Because we want to keep things simple, the only datatype in Kaleidoscope is a +64-bit floating point type. As such, all values are implicitly double precision +and the language doesn't require type declarations. This gives the language a +very nice and simple syntax. For example, the following simple example computes +Fibonacci numbers: +

+ +
+
+# Compute the x'th fibonacci number.
+def fib(x)
+  if x < 3 then
+    1
+  else
+    fib(x-1)+fib(x-2)
+
+# This expression will compute the 40th number.
+fib(40)
+
+
+ +

We also allow Kaleidoscope to call into standard library functions (the LLVM +JIT makes this completely trivial). This means that you can use the 'extern' +keyword to define a function before you use it (this is also useful for mutually +recursive functions). For example:

+ +
+
+extern sin(arg);
+extern cos(arg);
+extern atan2(arg1 arg2);
+
+atan2(sin(0.4), cos(42))
+
+
+ +

A more interesting example is included in Chapter 6 where we write a little +Kaleidoscope application that displays +a Mandelbrot Set at various levels of magnification.

+ +

Lets dive into the implementation of this language!

+ +
+ + + + + +
+ +

When it comes to implementing a language, the first thing needed is +the ability to process a text file and recognize what it says. The traditional +way to do this is to use a "lexer" (aka 'scanner') +to break the input up into "tokens". Each token returned by the lexer includes +a token type and potentially some metadata (e.g. the numeric value of a number). +First, we define the possibilities:

+ +
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+
+ +

Each token yielded by our lexer will be of one of the above types. For simple +tokens that are always the same, like the "def" keyword, the lexer will yield +DefToken(). Identifiers, numbers and characters, on the other +hand, have extra data, so when the lexer encounteres the number 123.45, it will +emit it as NumberToken(123.45). An identifier foo will be +emitted as IdentifierToken('foo'). And finally, an unknown character +like '+' will be returned as CharacterToken('+'). You may notice that +we overload the equality and inequality operators for the characters; this will +later simplify character comparisons in the parser code.

+ +

The actual implementation of the lexer is a single function called +Tokenize, which takes a string and +yields +tokens. For simplicity, we will use +regular +expressions to parse out the tokens. This is terribly inefficient, but +perfectly sufficient for our needs.

+ +

First, we define the regular expressions for our tokens. Numbers and strings +of digits, optionally followed by a period and another string of digits. +Identifiers (and keywords) are alphanumeric string starting with a letter and +comments are anything between a hash (#) and the end of the line. + +

+
+import re
+
+...
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+
+ +

+Next, let's start defining the Tokenize function itself. The first +thing we need to do is set up a loop that scans the string, while ignoring +whitespace between tokens:

+ +
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    ...
+
+
+ +

Next we want to find out what the next token is. For this we run the regexes +we defined above on the remainder of the string. To simplify the rest of the +code, we run all three regexes each time. As mentioned above, inefficiencies are +ignored for the purpose of this tutorial:

+ +

+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+
+ +

Now se check if any of the regexes matched. For comments, we simply +ignore the captured match:

+ +
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+
+
+ +

For numbers, we yield the captured match, converted to a float and tagged +with the appropriate token type:

+ +
+
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+
+
+ +

The identifier case is a little more complex. We have to check for keywords +to decide whether we have captured an identifier or a keyword:

+ +
+
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+
+
+ +

Finally, if we haven't recognized a comment, a number of an identifier, we +yield the current character as an "unknown character" token. This is used, for +example, for operators like + or *:

+ +
+
+    else:
+      # Yield the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+
+ +

Once we're done with the +loop, we return a final end-of-file token:

+ +
+
+  yield EOFToken()
+
+
+ +

With this, we have the complete lexer for the basic Kaleidoscope language +(the full code listing for the Lexer is +available in the next chapter of the +tutorial). Next we'll build a simple parser that +uses this to build an Abstract Syntax Tree. When we have that, we'll +include a driver so that you can use the lexer and parser together. +

+ +Next: Implementing a Parser and AST +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl2.html b/www/web/kaleidoscope/PythonLangImpl2.html new file mode 100644 index 0000000..c1c1605 --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl2.html @@ -0,0 +1,1097 @@ + + + + + Kaleidoscope: Implementing a Parser and AST + + + + + + + + +
Kaleidoscope: Implementing a Parser and AST
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + + + + +
+ +

Welcome to Chapter 2 of the +"Implementing a language +with LLVM" tutorial. This chapter shows you how to use the lexer, built in +Chapter 1, to build a full parser for +our Kaleidoscope language. Once we have a parser, we'll define and build an Abstract Syntax +Tree (AST).

+ +

The parser we will build uses a combination of Recursive Descent +Parsing and Operator-Precedence +Parsing to parse the Kaleidoscope language (the latter for +binary expressions and the former for everything else). Before we get to +parsing though, lets talk about the output of the parser: the Abstract Syntax +Tree.

+ +
+ + + + + +
+ +

The AST for a program captures its behavior in such a way that it is easy for +later stages of the compiler (e.g. code generation) to interpret. We basically +want one object for each construct in the language, and the AST should closely +model the language. In Kaleidoscope, we have expressions, a prototype, and a +function object. We'll start with expressions first:

+ +
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+  def __init__(self, value):
+    self.value = value
+
+
+ +

The code above shows the definition of the base ExpressionNode class and one +subclass which we use for numeric literals. The important thing to note about +this code is that the NumberExpressionNode class captures the numeric value of +the literal as an instance variable. This allows later phases of the compiler to +know what the stored numeric value is.

+ +

Right now we only create the AST, so there are no useful methods on them. +It would be very easy to add a virtual method to pretty print the code, for +example. Here are the other expression AST node definitions that we'll use +in the basic form of the Kaleidoscope language: +

+ +
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+  def __init__(self, name):
+    self.name = name
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+
+ +

This is all (intentionally) rather straight-forward: variables capture the +variable name, binary operators capture their opcode (e.g. '+'), and calls +capture a function name as well as a list of any argument expressions. One thing +that is nice about our AST is that it captures the language features without +talking about the syntax of the language. Note that there is no discussion about +precedence of binary operators, lexical structure, etc.

+ +

For our basic language, these are all of the expression nodes we'll define. +Because it doesn't have conditional control flow, it isn't Turing-complete; +we'll fix that in a later installment. The two things we need next are a way +to talk about the interface to a function, and a way to talk about functions +themselves:

+ +
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+
+ +

In Kaleidoscope, functions are typed with just a count of their arguments. +Since all values are double precision floating point, the type of each argument +doesn't need to be stored anywhere. In a more aggressive and realistic +language, the ExpressionNode class would probably have a type field. +

+ +

With this scaffolding, we can now talk about parsing expressions and function +bodies in Kaleidoscope.

+ +
+ + + + + +
+ +

Now that we have an AST to build, we need to define the parser code to build +it. The idea here is that we want to parse something like "x+y" (which +is returned as three tokens by the lexer) into an AST that could be generated +with calls like this:

+ +
+
+  x = VariableExpressionNode('x')
+  y = VariableExpressionNode('y')
+  result = BinaryOperatorExpressionNode('+', x, y)
+
+
+ +

In order to do this, we'll start by defining a lightweight Parser +class with some basic helper routines:

+ +
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+
+ +

+This implements a simple token buffer around the lexer. This allows +us to look one token ahead at what the lexer is returning. Every function in +our parser will assume that self.current is the current token that +needs to be parsed. Note that the first token is read as soon as the parser is +instantiated. Let us ignore the binop_precedence parameter for now. It +will be explained when we start parsing binary +operators.

+ +

With these basic helper functions, we can implement the first +piece of our grammar: numeric literals.

+ +
+ + + + + +
+ +

We start with numeric literals, because they are the simplest to process. +For each production in our grammar, we'll define a function which parses that +production. For numeric literals, we have: +

+ +
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+
+ +

This method is very simple: it expects to be called when the current token +is a NumberToken. It takes the current number value, creates a +NumberExpressionNode, advances to the next token, and finally returns. +

+ +

There are some interesting aspects to this. The most important one is that +this routine eats all of the tokens that correspond to the production and +returns the lexer buffer with the next token (which is not part of the grammar +production) ready to go. This is a fairly standard way to go for recursive +descent parsers. For a better example, the parenthesis operator is defined like +this:

+ +
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+
+ +

This function illustrates an interesting aspect of the parser. The function +uses recursion by calling ParseExpression (we will soon see that +ParseExpression can call ParseParenExpr). This is powerful +because it allows us to handle recursive grammars, and keeps each production +very simple. Note that parentheses do not cause construction of AST nodes +themselves. While we could do it this way, the most important role of +parentheses are to guide the parser and provide grouping. Once the parser +constructs the AST, parentheses are not needed.

+ +

The next simple production is for handling variable references and function +calls:

+ +
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name);
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+
+ +

This routine follows the same style as the other routines. It expects to be +called if the current token is an IdentifierToken. It also has +recursion and error handling. One interesting aspect of this is that it uses +look-ahead to determine if the current identifier is a stand alone +variable reference or if it is a function call expression. It handles this by +checking to see if the token after the identifier is a '(' token, constructing +either a VariableExpressionNode or CallExpressionNode as +appropriate.

+ +

Now that we have all of our simple expression-parsing logic in place, we can +define a helper function to wrap it together into one entry point. We call this +class of expressions "primary" expressions, for reasons that will become more +clear later in the tutorial. In order +to parse an arbitrary primary expression, we need to determine what sort of +expression it is:

+ +
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr();
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+
+ +

Now that you see the definition of this function, it is more obvious why we +can assume the state of Parser.current in the various functions. This +uses look-ahead to determine which sort of expression is being inspected, and +then parses it with a function call.

+ +

Now that basic expressions are handled, we need to handle binary expressions. +They are a bit more complex.

+ +
+ + + + + +
+ +

Binary expressions are significantly harder to parse because they are often +ambiguous. For example, when given the string "x+y*z", the parser can choose +to parse it as either "(x+y)*z" or "x+(y*z)". With common definitions from +mathematics, we expect the later parse, because "*" (multiplication) has +higher precedence than "+" (addition).

+ +

There are many ways to handle this, but an elegant and efficient way is to +use Operator-Precedence +Parsing. This parsing technique uses the precedence of binary operators to +guide recursion. To start with, we need a table of precedences. Remember the +binop_precedence parameter we passed to the Parser +constructor? Now is the time to use it:

+ +
+
+def main():
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+
+    ...
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+
+
+ +

For the basic form of Kaleidoscope, we will only support 4 binary operators +(this can obviously be extended by you, our brave and intrepid reader). Having a +dictionary makes it easy to add new operators and makes it clear that the +algorithm doesn't depend on the specific operators involved, but it would be +easy enough to eliminate the map and hardcode the comparisons.

+ +

We also define a helper function to get the precedence of the current token, +or -1 if the token is not a binary operator: +

+ +
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+
+ +

With the helper above defined, we can now start parsing binary expressions. +The basic idea of operator precedence parsing is to break down an expression +with potentially ambiguous binary operators into pieces. Consider, for example, +the expression "a+b+(c+d)*e*f+g". Operator precedence parsing considers this +as a stream of primary expressions separated by binary operators. As such, +it will first parse the leading primary expression "a", then it will see the +pairs [+, b] [+, (c+d)] [*, e] [*, f] and [+, g]. Note that because parentheses +are primary expressions, the binary expression parser doesn't need to worry +about nested subexpressions like (c+d) at all. +

+ +

+To start, an expression is a primary expression potentially followed by a +sequence of [binop,primaryexpr] pairs:

+ +
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+
+ +

ParseBinOpRHS is the function that parses the sequence of pairs for +us. It takes a precedence and a pointer to an expression for the part that has +been parsed so far. Note that "x" is a perfectly valid expression: As such, +"binoprhs" is allowed to be empty, in which case it returns the expression that +is passed into it. In our example above, the code passes the expression for "a" +into ParseBinOpRHS and the current token is "+".

+ +

The precedence value passed into ParseBinOpRHS indicates the +minimal operator precedence that the function is allowed to eat. For +example, if the current pair stream is [+, x] and ParseBinOpRHS is +passed in a precedence of 40, it will not consume any tokens (because the +precedence of '+' is only 20). With this in mind, ParseBinOpRHS starts +with:

+ +
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+
+ +

This code gets the precedence of the current token and checks to see if if is +too low. Because we defined invalid tokens to have a precedence of -1, this +check implicitly knows that the pair-stream ends when the token stream runs out +of binary operators. If this check succeeds, we know that the token is a binary +operator and that it will be included in this expression:

+ +
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+
+ +

As such, this code eats (and remembers) the binary operator and then parses +the primary expression that follows. This builds up the whole pair, the first of +which is [+, b] for the running example.

+ +

Now that we parsed the left-hand side of an expression and one pair of the +RHS sequence, we have to decide which way the expression associates. In +particular, we could have "(a+b) binop unparsed" or "a + (b binop unparsed)". +To determine this, we look ahead at "binop" to determine its precedence and +compare it to BinOp's precedence (which is '+' in this case):

+ +
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+
+
+ +

If the precedence of the binop to the right of "RHS" is lower or equal to the +precedence of our current operator, then we know that the parentheses associate +as "(a+b) binop ...". In our example, the current operator is "+" and the next +operator is "+", we know that they have the same precedence. In this case we'll +create the AST node for "a+b", and then continue parsing:

+ +
+
+      if precedence < next_precedence:
+        ... if body omitted ...
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right);
+
+
+ +

In our example above, this will turn "a+b+" into "(a+b)" and execute the next +iteration of the loop, with "+" as the current token. The code above will eat, +remember, and parse "(c+d)" as the primary expression, which makes the +current pair equal to [+, (c+d)]. It will then evaluate the 'if' conditional +above with "*" as the binop to the right of the primary. In this case, the +precedence of "*" is higher than the precedence of "+" so the if condition will +be entered.

+ +

The critical question left here is "how can the if condition parse the right +hand side in full"? In particular, to build the AST correctly for our example, +it needs to get all of "(c+d)*e*f" as the RHS expression variable. The code to +do this is surprisingly simple (code from the above two blocks duplicated for +context):

+ +
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+
+ +

At this point, we know that the binary operator to the RHS of our primary +has higher precedence than the binop we are currently parsing. As such, we know +that any sequence of pairs whose operators are all higher precedence than "+" +should be parsed together and returned as "RHS". To do this, we recursively +invoke the ParseBinOpRHS function specifying "precedence + 1" as the +minimum precedence required for it to continue. In our example above, this +will cause it to return the AST node for "(c+d)*e*f" as RHS, which is then set +as the RHS of the '+' expression.

+ +

Finally, on the next iteration of the while loop, the "+g" piece is parsed +and added to the AST. With this little bit of code (11 non-trivial lines), we +correctly handle fully general binary expression parsing in a very elegant way. +This was a whirlwind tour of this code, and it is somewhat subtle. I recommend +running through it with a few tough examples to see how it works. +

+ +

This wraps up handling of expressions. At this point, we can point the +parser at an arbitrary token stream and build an expression from it, stopping +at the first token that is not part of the expression. Next up we need to +handle function definitions, etc.

+ +
+ + + + + +
+ +

+The next thing missing is handling of function prototypes. In Kaleidoscope, +these are used both for 'extern' function declarations as well as function body +definitions. The code to do this is straight-forward and not very interesting +(once you've survived expressions): +

+ +
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+
+ +

Given this, a function definition is very simple, just a prototype plus +an expression to implement the body:

+ +
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+
+ +

In addition, we support 'extern' to declare functions like 'sin' and 'cos' as +well as to support forward declaration of user functions. These 'extern's are +just prototypes with no body:

+ +
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+
+ +

Finally, we'll also let the user type in arbitrary top-level expressions and +evaluate them on the fly. We will handle this by defining anonymous nullary +(zero argument) functions for them:

+ +
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+
+ +

Now that we have all the pieces, let's build a little driver that will let us +actually execute this code we've built!

+ +
+ + + + + +
+ +

The driver for this simply invokes all of the parsing pieces with a top-level +dispatch loop. There isn't much interesting here, so I'll just include the +top-level loop. See below for full code.

+ +
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      return
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+
+ +

Here we create a new Parser for each line read, and try to parse out +all the expressions, declarations and definitions in the line. We also allow the +user to quit using Ctrl+C.

+ +
+ + + + + +
+ +

With just under 330 lines of commented code (200 lines of non-comment, +non-blank code), we fully defined our minimal language, including a lexer, +parser, and AST builder. With this done, the executable will validate +Kaleidoscope code and tell us if it is grammatically invalid. For +example, here is a sample interaction:

+ +
+
+$ python kaleidoscope.py
+ready> def foo(x y) x+foo(y, 4.0)
+Parsed a function definition.
+ready> def foo(x y) x+y y
+Parsed a function definition.
+Parsed a top-level expression.
+ready> def foo(x y) x+y )
+Parsed a function definition.
+Error: Unknown token when expecting an expression.
+ready> extern sin(a);
+Parsed an extern.
+ready> ^C
+$
+
+
+ +

There is a lot of room for extension here. You can define new AST nodes, +extend the language in many ways, etc. In the +next installment, we will describe how to +generate LLVM Intermediate Representation (IR) from the AST.

+ +
+ + + + + +
+ +

+Here is the complete code listing for this and the previous chapter. +Note that it is fully self-contained: you don't need LLVM or any external +libraries at all for this.

+ +
+
+#!/usr/bin/env python
+
+import re
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+  def __init__(self, value):
+    self.value = value
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+  def __init__(self, name):
+    self.name = name
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Parsed a function definition.')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Parsed an extern.')
+
+  def HandleTopLevelExpression(self):
+    self.Handle(self.ParseTopLevelExpr, 'Parsed a top-level expression.')
+
+  def Handle(self, function, message):
+    try:
+      function()
+      print message
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      return
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Implementing Code Generation to LLVM IR +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl3.html b/www/web/kaleidoscope/PythonLangImpl3.html new file mode 100644 index 0000000..13a7fb3 --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl3.html @@ -0,0 +1,1119 @@ + + + + + Kaleidoscope: Implementing code generation to LLVM IR + + + + + + + + +
Kaleidoscope: Code generation to LLVM IR
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + + + + +
+ +

Welcome to Chapter 3 of the +"Implementing a language +with LLVM" tutorial. This chapter shows you how to transform the Abstract Syntax Tree, built in Chapter 2, into +LLVM IR. This will teach you a little bit about how LLVM does things, as well as +demonstrate how easy it is to use. It's much more work to build a lexer and +parser than it is to generate LLVM IR code. :) +

+ +

Please note: the code in this chapter and later requires llvm-py 0.6 +and LLVM 2.7. Earlier versions will most likely not work with it. Also note +that you need to use a version of this tutorial that matches your llvm-py +release: If you are using an official llvm-py release, use the version of the +documentation on the +llvm-py examples page. +

+ +
+ + + + + +
+ +

+In order to generate LLVM IR, we want some simple setup to get started. First +we define code generation methods in each AST node class:

+ +
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    ...
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    ...
+
+...
+
+
+ +

The CodeGen method says to emit IR for that AST node along with all +the things it depends on, and they all return an LLVM Value object. "Value" is +the class used to represent a "Static Single +Assignment (SSA) register" or "SSA value" in LLVM. The most distinct aspect +of SSA values is that their value is computed as the related instruction +executes, and it does not get a new value until (and if) the instruction +re-executes. In other words, there is no way to "change" an SSA value. For +more information, please read up on Static Single +Assignment - the concepts are really quite natural once you grok them.

+ +

We will also need to define some global variables which we will be used +during code generation:

+ +
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+
+ +

g_llvm_module is the LLVM construct that contains all of the +functions and global variables in a chunk of code. In many ways, it is the +top-level structure that the LLVM IR uses to contain code.

+ +

g_llvm_builder is a helper object that makes it easy to generate +LLVM instructions. Instances of the +llvm.core.Builder class keep track of the current place to insert +instructions and have methods to create new instructions. Note that we do not +initialize this variable; instead, it will be initialized whenever we start +generating code for a function.

+ +

Finally, g_named_values is a dictionary that keeps track of which +values are defined in the current scope and what their LLVM representation is. +In other words, it is a symbol table for the code. In this form of +Kaleidoscope, the only things that can be referenced are function parameters. +As such, function parameters will be in this map when generating code for their +function body.

+ +

+With these basics in place, we can start talking about how to generate code for +each expression. Note that this assumes that g_llvm_builder has been +set up to generate code into something. For now, we'll assume that +this has already been done, and we'll just use it to emit code. +

+ +
+ + + + + +
+ +

Generating LLVM code for expression nodes is very straightforward: less +than 35 lines of commented code for all four of our expression nodes. First +we'll do numeric literals:

+ +
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+
+ +

In llvm-py, floating point numeric constants are represented with the +llvm.core.ConstantFP class. To create one, we can use the static +real() method in the llvm.core.Constant class. This code +basically just creates and returns a ConstantFP. Note that in the LLVM +IR constants are all uniqued together and shared. For this reason, we create +the constant through a factory method instead of instantiating one directly.

+ +
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+
+ +

References to variables are also quite simple using LLVM. In the simple +version of Kaleidoscope, we assume that the variable has already been emitted +somewhere and its value is available. In practice, the only values that can be +in the g_named_values dictionary are function arguments. This code +simply checks to see that the specified name is in the map (if not, an unknown +variable is being referenced) and returns the value for it. In future chapters, +we'll add support for loop induction +variables in the symbol table, and for local variables.

+ +
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+
+ +

Binary operators start to get more interesting. The basic idea here is that +we recursively emit code for the left-hand side of the expression, then the +right-hand side, then we compute the result of the binary expression depending +on which operator is being used. +

+ +

In the example above, the LLVM builder class is starting to show its value. +g_llvm_builder knows where to insert the newly created instruction, all +you have to do is specify what instruction to create (e.g. with add), +which operands to use (left and right here) and optionally +provide a name for the generated instruction.

+ +

One nice thing about LLVM is that the name is just a hint. For instance, if +the code above emits multiple "addtmp" variables, LLVM will automatically +provide each one with an increasing, unique numeric suffix. Local value names +for instructions are purely optional, but it makes it much easier to read the +IR dumps.

+ +

LLVM instructions +are constrained by strict rules: for example, the Left and Right operators of +an add instruction +must have the same type, and the result type of the add must match the operand +types. Because all values in Kaleidoscope are doubles, this makes for very +simple code for add, sub and mul.

+ +

On the other hand, LLVM specifies that the fcmp instruction always +returns an 'i1' value (a one bit integer). The problem with this is that +Kaleidoscope wants the value to be a 0.0 or 1.0 value. In order to get these +semantics, we combine the fcmp instruction with a +uitofp instruction. +This instruction converts its input integer into a floating point value by +treating the input as an unsigned value. In contrast, if we used the sitofp instruction, +the Kaleidoscope '<' operator would return 0.0 and -1.0, depending on the +input value.

+ +
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+
+ +

Code generation for function calls is quite straightforward with LLVM. The +code above initially does a function name lookup in the LLVM Module's symbol +table. Recall that the LLVM Module is the container that holds all of the +functions we are JIT'ing. By giving each function the same name as what the +user specifies, we can use the LLVM symbol table to resolve function names for +us.

+ +

Once we have the function to call, we codegen each argument that is to be +passed in, and create an LLVM +call instruction. +Note that LLVM uses the native C calling conventions by default, allowing these +calls to also call into standard library functions like "sin" and "cos", with no +additional effort.

+ +

This wraps up our handling of the four basic expressions that we have so far +in Kaleidoscope. Feel free to go in and add some more. For example, by +browsing the LLVM language +reference you'll find several other interesting instructions that are really +easy to plug into our basic framework.

+ +
+ + + + + +
+ +

Code generation for prototypes and functions must handle a number of +details, which make their code less beautiful than expression code +generation, but allows us to illustrate some important points. First, let's +talk about code generation for prototypes: they are used both for function +bodies and external function declarations. The code starts with:

+ +
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+
+ +

The call to Type.function creates the FunctionType that +should be used for a given Prototype. Since all function arguments in +Kaleidoscope are of type double, the first line creates a list of "N" LLVM +double types. It then uses the Type.function method to create a +function type that takes "N" doubles as arguments, returns one double as a +result, and that is not vararg (the False parameter indicates this). Note that +Types in LLVM are uniqued just like Constants are, so you don't instantiate them +directly.

+ +

The final line above actually creates the function that the prototype will +correspond to. This indicates the type and name to use, as well as which +module to insert into. Note that by default, the function will have +"external linkage", +which means that the function may be defined outside the current module and/or +that it is callable by functions outside the module. The name passed in is the +name the user specified: since g_llvm_module is specified, this name +is registered in g_llvm_module's symbol table, which is used by the +function call code above.

+ +
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+
+ +

The Module symbol table works just like the Function symbol table when it +comes to name conflicts: if a new function is created with a name was previously +added to the symbol table, it will get implicitly renamed when added to the +Module. The code above exploits this fact to determine if there was a previous +definition of this function.

+ +

In Kaleidoscope, we choose to allow redefinitions of functions in two cases: +first, we want to allow 'extern'ing a function more than once, as long as the +prototypes for the externs match (since all arguments have the same type, we +just have to check that the number of arguments match). Second, we want to +allow 'extern'ing a function and then defining a body for it. This is useful +when defining mutually recursive functions.

+ +

In order to implement this, the code above first checks to see if there is +a collision on the name of the function. If so, it deletes the function we just +created (by calling delete) and then calling +get_function_named to get the existing function with the specified +name.

+ +
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If F took a different number of args, reject.
+      if len(callee.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+
+ +

In order to verify the logic above, we first check to see if the pre-existing +function is a forward declaration. Since we don't allow anything after a full +definition of the function, the code rejects this case. If the previous +reference to a function was an 'extern', we simply verify that the number of +arguments for that definition and this one match up. If not, we emit an error. +

+ +
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+
+ +

The last bit of code for prototypes loops over all of the arguments in the +function, setting the name of the LLVM Argument objects to match, and +registering the arguments in the g_named_values map for future use by +the VariableExpressionNode. Note that we don't check for conflicting +argument names here (e.g. "extern foo(a b a)"). Doing so would be very +straight-forward with the mechanics we have already used above. Once this is +all set up, it returns the Function object to the caller.

+ +
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+
+ +

Code generation for function definitions starts out simply enough: we just +clear out the g_named_values dictionary to make sure that there isn't +anything in it from the last function we compiled and codegen the prototype. +Code generation of the prototype ensures that there is an LLVM Function object +that is ready to go for us.

+ +
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+
+ +

Now we get to the point where g_llvm_builder is set up. The first +line creates a new basic +block (named "entry"), which is inserted into the function. The second line +declares that the global g_llvm_builder object is to be changed. The +last line creates a new builder that is set up to insert new instructions into +the basic block we just created. Basic blocks in LLVM are an important part +of functions that define the Control Flow Graph. +Since we don't have any control flow, our functions will only contain one +block at this point. We'll fix this in Chapter +5 :).

+ +
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+
+ +

Once the insertion point is set up, we call the CodeGen method for +the root expression of the function. If no error happens, this emits code to +compute the expression into the entry block and returns the value that was +computed. Assuming no error, we then create an LLVM ret instruction, which +completes the function. Once the function is built, we call verify, +which is provided by LLVM. This function does a variety of consistency checks +on the generated code, to determine if our compiler is doing everything right. +Using this is important: it can catch a lot of bugs. Once the function is +finished and validated, we return it.

+ +
+
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+ +

The only piece left here is handling of the error case. For simplicity, we +handle this by merely deleting the function we produced with the delete +method. This allows the user to redefine a function that they incorrectly typed +in before: if we didn't delete it, it would live in the symbol table, with a +body, preventing future redefinition.

+ +

This code does have a bug, though. Since the PrototypeNode::CodeGen +can return a previously defined forward declaration, our code can actually +delete a forward declaration. There are a number of ways to fix this bug; see +what you can come up with! Here is a testcase:

+ +
+
+extern foo(a b)     # ok, defines foo.
+def foo(a b) c      # error, 'c' is invalid.
+def bar() foo(1, 2) # error, unknown function "foo"
+
+
+ +
+ + + + + +
+ +

+For now, code generation to LLVM doesn't really get us much, except that we can +look at the pretty IR calls. The sample code inserts calls to CodeGen into the +Handle* functions, and then dumps out the LLVM IR. This gives a nice +way to look at the LLVM IR for simple functions. For example: +

+ +
+
+ready> 4+5
+Read a top-level expression:
+define double @0() {
+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 in the next chapter. Also note that the code is very literally +transcribed, no optimizations are being performed except simple constant +folding done by the Builder. We will +add optimizations explicitly +in the next chapter.

+ +
+
+ready> def foo(a b) a*a + 2*a*b + b*b
+Read a function definition:
+define double @foo(double %a, double %b) {
+entry:
+  %multmp = fmul double %a, %a                    ; <double> [#uses=1]
+  %multmp1 = fmul double 2.000000e+00, %a         ; <double> [#uses=1]
+  %multmp2 = fmul double %multmp1, %b             ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %multmp2         ; <double> [#uses=1]
+  %multmp3 = fmul double %b, %b                   ; <double> [#uses=1]
+  %addtmp4 = fadd double %addtmp, %multmp3        ; <double> [#uses=1]
+  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 a function definition:
+define double @bar(double %a) {
+entry:
+  %calltmp = call double @foo(double %a, double 4.000000e+00) ; <double> [#uses=1]
+  %calltmp1 = call double @bar(double 3.133700e+04) ; <double> [#uses=1]
+  %addtmp = fadd double %calltmp, %calltmp1       ; <double> [#uses=1]
+  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 a top-level expression:
+define double @1() {
+entry:
+  %calltmp = call double @cos(double 1.234000e+00) ; <double> [#uses=1]
+  ret double %calltmp
+}
+
+
+ +

This shows an extern for the libm "cos" function, and a call to it.

+ + +
+
+ready> ^C
+; ModuleID = 'my cool jit'
+
+define double @0() {
+entry:
+  ret double 9.000000e+00
+}
+
+define double @foo(double %a, double %b) {
+entry:
+  %multmp = fmul double %a, %a                    ; <double> [#uses=1]
+  %multmp1 = fmul double 2.000000e+00, %a         ; <double> [#uses=1]
+  %multmp2 = fmul double %multmp1, %b             ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %multmp2         ; <double> [#uses=1]
+  %multmp3 = fmul double %b, %b                   ; <double> [#uses=1]
+  %addtmp4 = fadd double %addtmp, %multmp3        ; <double> [#uses=1]
+  ret double %addtmp4
+}
+
+define double @bar(double %a) {
+entry:
+  %calltmp = call double @foo(double %a, double 4.000000e+00) ; <double> [#uses=1]
+  %calltmp1 = call double @bar(double 3.133700e+04) ; <double> [#uses=1]
+  %addtmp = fadd double %calltmp, %calltmp1       ; <double> [#uses=1]
+  ret double %addtmp
+}
+
+declare double @cos(double)
+
+define double @1() {
+entry:
+  %calltmp = call double @cos(double 1.234000e+00) ; <double> [#uses=1]
+  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 to this so we can actually start running code!

+ +
+ + + + + + +
+ +

+Here is the complete code listing for our running example, enhanced with the +LLVM code generator. Because this uses the llvm-py libraries, you need to +download and +install them. +

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder, FCMP_ULT
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If F took a different number of args, reject.
+      if len(callee.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    self.Handle(self.ParseTopLevelExpr, 'Read a top-level expression:')
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+Next: Adding JIT and Optimizer Support +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl4.html b/www/web/kaleidoscope/PythonLangImpl4.html new file mode 100644 index 0000000..a049201 --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl4.html @@ -0,0 +1,999 @@ + + + + + Kaleidoscope: Adding JIT and Optimizer Support + + + + + + + + +
Kaleidoscope: Adding JIT and Optimizer Support
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + + + + +
+ +

Welcome to Chapter 4 of the +"Implementing a language +with LLVM" 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.

+ +
+ + + + + +
+ +

+Our demonstration for Chapter 3 is elegant and easy to extend. Unfortunately, +it does not produce wonderful code. The LLVM Builder, 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 +llvm.core.Builder 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 Builder 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))
+Read a function definition:
+define double @test(double %x) {
+entry:
+  %addtmp = fadd double 3.000000e+00, %x          ; <double> [#uses=1]
+  %addtmp1 = fadd double %x, 3.000000e+00         ; <double> [#uses=1]
+  %multmp = fmul double %addtmp, %addtmp1         ; <double> [#uses=1]
+  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 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 document and the List of +LLVM Passes.

+ +

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 to hold and organize the LLVM optimizations that we want +to run. Once we have that, we can add a set of optimizations to run. The code +looks like this:

+ +
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+...
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+
+ +

This code defines a FunctionPassManager, +g_llvm_pass_manager. Once it is set up, we use a series of "add" calls +to add a bunch of LLVM passes. The first pass is basically boilerplate, it adds +a pass so that later optimizations know how the data structures in the program +are laid out. (The "g_llvm_executor" variable is related to the JIT, +which we will get to in the next section.) In this case, we choose to add 4 +optimization passes. The passes we chose here are a pretty standard set of +"cleanup" optimizations that are useful for a wide variety of code. I won't +delve into what they do but, believe me, they are a good starting place :).

+ +

Once the pass manager is set up, we need to make use of it. We do this by +running it after our newly created function is constructed (in +FunctionNode.CodeGen), but before it is returned to the client:

+ +
+
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+
+
+ +

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))
+Read a function definition:
+define double @test(double %x) {
+entry:
+  %addtmp = fadd double %x, 3.000000e+00          ; <double> [#uses=2]
+  %multmp = fmul double %addtmp, %addtmp          ; <double> [#uses=1]
+  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 is available, but it isn't very complete. Another good source of +ideas can come from looking at the passes that llvm-gcc or +llvm-ld run 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!

+ +
+ + + + + +
+ +

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 and initializing a global variable:

+ +
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+
+ +

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

+ +

Once the ExecutionEngine is created, the JIT is ready to be used. +We can use the run_function method of the execution engine to execute +a compiled function and get its return value. In our case, this means that we +can change the code that parses a top-level expression to look like this:

+ +
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+
+ +

Recall that we compile top-level expressions into a self-contained LLVM +function that takes no arguments and returns the computed double.

+ +

With just these two changes, lets see how Kaleidoscope works now!

+ +
+
+ready> 4+5
+Read a top level expression:
+define double @0() {
+entry:
+  ret double 9.000000e+00
+}
+
+Evaluated to: 9.0
+
+
+ +

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 a function definition:
+define double @testfunc(double %x, double %y) {
+entry:
+  %multmp = fmul double %y, 2.000000e+00          ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %x               ; <double> [#uses=1]
+  ret double %addtmp
+}
+
+ready> testfunc(4, 10)
+Read a top level expression:
+define double @0() {
+entry:
+  %calltmp = call double @testfunc(double 4.000000e+00, double 1.000000e+01) ; <double> [#uses=1]
+  ret double %calltmp
+}
+
+Evaluated to: 24.0
+
+
+ +

This illustrates that we can now call user code, but there is something a bit +subtle going on here. Note that we only invoke the JIT on the anonymous +functions that call testfunc, but we never invoked it +on testfunc itself. What actually happened here is that the JIT +scanned for all non-JIT'd functions transitively called from the anonymous +function and compiled all of them before returning from run_function(). +

+ +

The JIT provides a number of other more advanced interfaces for things like +freeing allocated machine code, rejit'ing functions to update them, etc. +However, even with this simple code, we get some surprisingly powerful +capabilities - check this out (I removed the dump of the anonymous functions, +you should get the idea by now :) :

+ +
+
+ready> extern sin(x)
+Read an extern:
+declare double @sin(double)
+
+ready> extern cos(x)
+Read an extern:
+declare double @cos(double)
+
+ready> sin(1.0)
+Evaluated to: 0.841470984808
+
+ready> def foo(x) sin(x)*sin(x) + cos(x)*cos(x)
+Read a function definition:
+define double @foo(double %x) {
+entry:
+  %calltmp = call double @sin(double %x)          ; <double> [#uses=1]
+  %calltmp1 = call double @sin(double %x)         ; <double> [#uses=1]
+  %multmp = fmul double %calltmp, %calltmp1       ; <double> [#uses=1]
+  %calltmp2 = call double @cos(double %x)         ; <double> [#uses=1]
+  %calltmp3 = call double @cos(double %x)         ; <double> [#uses=1]
+  %multmp4 = fmul double %calltmp2, %calltmp3     ; <double> [#uses=1]
+  %addtmp = fadd double %multmp, %multmp4         ; <double> [#uses=1]
+  ret double %addtmp
+}
+
+ready> foo(4.0)
+Evaluated to: 1.000000
+
+
+ +

Whoa, how does the JIT know about sin and cos? The answer is surprisingly +simple: in this example, the JIT started execution of a function and got to a +function call. It realized that the function was not yet JIT compiled and +invoked the standard set of routines to resolve the function. In this case, +there is no body defined for the function, so the JIT ended up calling +"dlsym("sin")" on the Python process that is hosting our Kaleidoscope +prompt. 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.

+ +

One interesting application of this is that we can now extend the language +by writing arbitrary C++ code to implement operations. For example, we can +create a C file with the following simple function: +

+ +
+
+#include <stdio.h>
+
+double putchard(double x) {
+  putchar((char)x);
+  return 0;
+}
+
+
+ +

We can then compile this into a shared library with GCC:

+ +
+
+gcc -shared -fPIC -o putchard.so  putchard.c
+
+
+ +

Now we can load this library into the Python process using +llvm.core.load_library_permanently and access it from Kaleidoscope to +produce simple output to the console:

+ +
+
+>>> import llvm.core
+>>> llvm.core.load_library_permanently('/home/max/llvm-py-tutorial/putchard.so')
+>>> import kaleidoscope
+>>> kaleidoscope.main()
+ready> extern putchard(x)
+Read an extern:
+declare double @putchard(double)
+
+ready> putchard(65) + putchard(66) + putchard(67) + putchard(10)
+ABC
+Evaluated to: 0.0
+
+
+ +

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, tackling some interesting LLVM IR issues along the way.

+ +
+ + + + + +
+ +

+Here is the complete code listing for our running example, enhanced with the +LLVM JIT and optimizer: +

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder, FCMP_ULT
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+from llvm.passes import (PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object):
+  pass
+
+class DefToken(object):
+  pass
+
+class ExternToken(object):
+  pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If F took a different number of args, reject.
+      if len(callee.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # primary ::= identifierexpr | numberexpr | parenexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Extending the language: control flow +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl5.html b/www/web/kaleidoscope/PythonLangImpl5.html new file mode 100644 index 0000000..e08d322 --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl5.html @@ -0,0 +1,1607 @@ + + + + + Kaleidoscope: Extending the Language: Control Flow + + + + + + + + +
Kaleidoscope: Extending the Language: Control Flow
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + + + + +
+ +

Welcome to Chapter 5 of the +"Implementing a language +with LLVM" tutorial. Parts 1-4 described the implementation of the simple +Kaleidoscope language and included support for generating LLVM IR, followed by +optimizations and a JIT compiler. Unfortunately, as presented, Kaleidoscope is +mostly useless: it has no control flow other than call and return. This means +that you can't have conditional branches in the code, significantly limiting its +power. In this episode of "build that compiler", we'll extend Kaleidoscope to +have an if/then/else expression plus a simple 'for' loop.

+ +
+ + + + + +
+ +

+Extending Kaleidoscope to support if/then/else is quite straightforward. It +basically requires adding lexer support for this "new" concept to the lexer, +parser, AST, and LLVM code emitter. This example is nice, because it shows how +easy it is to "grow" a language over time, incrementally extending it as new +ideas are discovered.

+ +

Before we get going on "how" we add this extension, lets talk about "what" we +want. The basic idea is that we want to be able to write this sort of thing: +

+ +
+
+def fib(x)
+  if x < 3 then
+    1
+  else
+    fib(x-1) + fib(x-2)
+
+
+ +

In Kaleidoscope, every construct is an expression: there are no statements. +As such, the if/then/else expression needs to return a value like any other. +Since we're using a mostly functional form, we'll have it evaluate its +conditional, then return the 'then' or 'else' value based on how the condition +was resolved. This is very similar to the C "?:" expression.

+ +

The semantics of the if/then/else expression is that it evaluates the +condition to a boolean equality value: 0.0 is considered to be false and +everything else is considered to be true. +If the condition is true, the first subexpression is evaluated and returned, if +the condition is false, the second subexpression is evaluated and returned. +Since Kaleidoscope allows side-effects, this behavior is important to nail down. +

+ +

Now that we know what we "want", let's break this down into its constituent +pieces.

+ +
+ + + + + + +
+ +

The lexer extensions are straightforward. First we add new token classes for +the relevant tokens:

+ +
+
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+
+
+ +

Once we have that, we recognize the new keywords in the lexer. This is pretty +simple stuff:

+ +
+
+      ...
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +
+ + + + + +
+ +

To represent the new expression we add a new AST node for it:

+ +
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    ...
+
+
+ +

The AST node just has pointers to the various subexpressions.

+ +
+ + + + + +
+ +

Now that we have the relevant tokens coming from the lexer and we have the +AST node to build, our parsing logic is relatively straightforward. First we +define a new parsing function:

+ +
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+
+ +

Next we hook it up as a primary expression:

+ +
+
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr();
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+
+ +
+ + + + + +
+ +

Now that we have it parsing and building the AST, the final piece is adding +LLVM code generation support. This is the most interesting part of the +if/then/else example, because this is where it starts to introduce new concepts. +All of the code above has been thoroughly described in previous chapters. +

+ +

To motivate the code we want to produce, lets take a look at a simple +example. Consider:

+ +
+
+extern foo();
+extern bar();
+def baz(x) if x then foo() else bar();
+
+
+ +

If you disable optimizations, the code you'll (soon) get from Kaleidoscope +looks something like this:

+ +
+
+declare double @foo()
+
+declare double @bar()
+
+define double @baz(double %x) {
+entry:
+	%ifcond = fcmp one double %x, 0.000000e+00
+	br i1 %ifcond, label %then, label %else
+
+then:		; preds = %entry
+	%calltmp = call double @foo()
+	br label %ifcont
+
+else:		; preds = %entry
+	%calltmp1 = call double @bar()
+	br label %ifcont
+
+ifcont:		; preds = %else, %then
+	%iftmp = phi double [ %calltmp, %then ], [ %calltmp1, %else ]
+	ret double %iftmp
+}
+
+
+ +

To visualize the control flow graph, you can use a nifty feature of the LLVM +'opt' tool. If you put this LLVM IR +into "t.ll" and run "llvm-as < t.ll | opt -analyze -view-cfg", a window will +pop up and you'll see this graph:

+ +
Example CFG
+ +

Another way to get this is to call "function.viewCFG()" or +"function.viewCFGOnly()" (where F is a "llvm.core.Function") +either by inserting actual calls into the code and recompiling or by calling +these in the debugger. LLVM has many nice features for visualizing various +graphs, but note that these are available only if your LLVM was built with +Graphviz support (accomplished by having Graphviz and Ghostview installed when +building LLVM).

+ +

Getting back to the generated code, it is fairly simple: the entry block +evaluates the conditional expression ("x" in our case here) and compares the +result to 0.0 with the +"fcmp one" +instruction ('one' is "Ordered and Not Equal"). Based on the result of this +expression, the code jumps to either the "then" or "else" blocks, which contain +the expressions for the true/false cases.

+ +

Once the then/else blocks are finished executing, they both branch back to +the 'ifcont' block to execute the code that happens after the if/then/else. In +this case the only thing left to do is to return to the caller of the function. +The question then becomes: how does the code know which expression to return? +

+ +

The answer to this question involves an important SSA operation: the +Phi +operation. If you're not familiar with SSA, the wikipedia +article is a good introduction and there are various other introductions to +it available on your favorite search engine. The short version is that +"execution" of the Phi operation requires "remembering" which block control came +from. The Phi operation takes on the value corresponding to the input control +block. In this case, if control comes in from the "then" block, it gets the +value of "calltmp". If control comes from the "else" block, it gets the value +of "calltmp1".

+ +

At this point, you are probably starting to think "Oh no! This means my +simple and elegant front-end will have to start generating SSA form in order to +use LLVM!". Fortunately, this is not the case, and we strongly advise +not implementing an SSA construction algorithm in your front-end +unless there is an amazingly good reason to do so. In practice, there are two +sorts of values that float around in code written for your average imperative +programming language that might need Phi nodes:

+ +
    +
  1. Code that involves user variables: x = 1; x = x + 1;
  2. +
  3. Values that are implicit in the structure of your AST, such as the Phi node +in this case.
  4. +
+ +

In Chapter 7 of this tutorial ("mutable +variables"), we'll talk about #1 in depth. For now, just believe me that you +don't need SSA construction to handle this case. For #2, you have the choice of +using the techniques that we will describe for #1, or you can insert Phi nodes +directly, if convenient. In this case, it is really really easy to generate +the Phi node, so we choose to do it directly.

+ +

Okay, enough of the motivation and overview, lets generate code!

+ +
+ + + + + +
+ +

In order to generate code for this, we implement the Codegen method +for IfExpressionNode:

+ +
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+
+ +

This code is straightforward and similar to what we saw before. We emit the +expression for the condition, then compare that value to zero to get a truth +value as a 1-bit (bool) value.

+ +
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+
+ +

This code creates the basic blocks that are related to the if/then/else +statement, and correspond directly to the blocks in the example above. The +first line gets the current Function object that is being built. It +gets this by asking the builder for the current BasicBlock, and asking that +block for its "parent" (the function it is currently embedded into).

+ +

Once it has that, it creates three block which are automatically inserted +into the end of the function. Once the blocks are created, we can emit the +conditional branch that chooses between them. Note that creating new blocks +does not implicitly affect the Builder, so it is still inserting into the block +that the condition went into.

+ +
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+
+ +

After the conditional branch is inserted, we move the builder to start +inserting into the "then" block. Strictly speaking, this call moves the +insertion point to be at the end of the specified block. However, since the +"then" block is empty, it also starts out by inserting at the beginning of the +block. :)

+ +

Once the insertion point is set, we recursively codegen the "then" expression +from the AST. To finish off the "then" block, we create an unconditional branch +to the merge block. One interesting (and very important) aspect of the LLVM IR +is that it +requires all +basic blocks to be "terminated" with a +control flow +instruction such as return or branch. This means that all control flow, +including fallthroughs must be made explicit in the LLVM IR. If you +violate this rule, the verifier will emit an error.

+ +

The final line here is quite subtle, but is very important. The basic issue +is that when we create the Phi node in the merge block, we need to set up the +block/value pairs that indicate how the Phi will work. Importantly, the Phi +node expects to have an entry for each predecessor of the block in the CFG. Why +then, are we getting the current block when we just set it to then_block 5 lines +above? The problem is that the "Then" expression may actually itself change the +block that the Builder is emitting into if, for example, it contains a nested +"if/then/else" expression. Because calling Codegen recursively could +arbitrarily change the notion of the current block, we are required to get an +up-to-date value for code that will set up the Phi node.

+ +
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+
+ +

Code generation for the 'else' block is basically identical to codegen for +the 'then' block. The only significant difference is the first line, which adds +the 'else' block to the function. Recall previously that the 'else' block was +created, but not added to the function. Now that the 'then' and 'else' blocks +are emitted, we can finish up with the merge code:

+ +
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+
+ +

The first line changes the insertion point so that newly created code will go +into the "merge" block. Once that is done, we need to create the PHI node and +set up the block/value pairs for the PHI.

+ +

Finally, the CodeGen function returns the phi node as the value computed by +the if/then/else expression. In our example above, this returned value will +feed into the code for the top-level function, which will create the return +instruction.

+ +

Overall, we now have the ability to execute conditional code in +Kaleidoscope. With this extension, Kaleidoscope is a fairly complete language +that can calculate a wide variety of numeric functions. Next up we'll add +another useful expression that is familiar from non-functional languages...

+ +
+ + + + + +
+ +

Now that we know how to add basic control flow constructs to the language, +we have the tools to add more powerful things. Lets add something more +aggressive, a 'for' expression:

+ +
+
+ extern putchard(char)
+ def printstar(n)
+   for i = 1, i < n, 1.0 in
+     putchard(42)  # ascii 42 = '*'
+
+ # print 100 '*' characters
+ printstar(100)
+
+
+ +

This expression defines a new variable ("i" in this case) which iterates from +a starting value, while the condition ("i < n" in this case) is true, +incrementing by an optional step value ("1.0" in this case). If the step value +is omitted, it defaults to 1.0. While the loop is true, it executes its +body expression. Because we don't have anything better to return, we'll just +define the loop as always returning 0.0. In the future when we have mutable +variables, it will get more useful.

+ +

As before, lets talk about the changes that we need to Kaleidoscope to +support this.

+ +
+ + + + + +
+ +

The lexer extensions are the same sort of thing as for if/then/else:

+ +
+
+...
+
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+
+...
+
+def Tokenize(string):
+
+      ...
+
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +
+ + + + + +
+ +

The AST node is just as simple. It basically boils down to capturing +the variable name and the constituent expressions in the node.

+ +
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    ...
+
+
+ +
+ + + + + +
+ +

The parser code is also fairly standard. The only interesting thing here is +handling of the optional step value. The parser code handles it by checking to +see if the second comma is present. If not, it sets the step value to null in +the AST node:

+ +
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+
+ +
+ + + + + +
+ +

Now we get to the good part: the LLVM IR we want to generate for this thing. +With the simple example above, we get this LLVM IR (note that this dump is +generated with optimizations disabled for clarity): +

+ +
+
+declare double @putchard(double)
+
+define double @printstar(double %n) {
+entry:
+        ; initial value = 1.0 (inlined into phi)
+	br label %loop
+
+loop:		; preds = %loop, %entry
+	%i = phi double [ 1.000000e+00, %entry ], [ %nextvar, %loop ]
+        ; body
+	%calltmp = call double @putchard(double 4.200000e+01)
+        ; increment
+	%nextvar = fadd double %i, 1.000000e+00
+
+        ; termination test
+	%cmptmp = fcmp ult double %i, %n
+	%booltmp = uitofp i1 %cmptmp to double
+	%loopcond = fcmp one double %booltmp, 0.000000e+00
+	br i1 %loopcond, label %loop, label %afterloop
+
+afterloop:		; preds = %loop
+        ; loop always returns 0.0
+	ret double 0.000000e+00
+}
+
+
+ +

This loop contains all the same constructs we saw before: a phi node, several +expressions, and some basic blocks. Lets see how this fits together.

+ +
+ + + + + +
+ +

The first part of Codegen is very simple: we just output the start expression +for the loop value:

+ +
+
+  def CodeGen(self):
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+
+ +

With this out of the way, the next step is to set up the LLVM basic block +for the start of the loop body. In the case above, the whole loop body is one +block, but remember that the body code itself could consist of multiple blocks +(e.g. if it contains an if/then/else or a for/in expression).

+ +
+
+    # Make the new basic block for the loop header, inserting after current
+    # block.
+    function = g_llvm_builder.basic_block.function
+    pre_header_block = g_llvm_builder.basic_block
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fallthrough from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+
+ +

This code is similar to what we saw for if/then/else. Because we will need +it to create the Phi node, we remember the block that falls through into the +loop. Once we have that, we create the actual block that starts the loop and +create an unconditional branch for the fall-through between the two blocks.

+ +
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block);
+
+    # Start the PHI node with an entry for start.
+    variable_phi = g_llvm_builder.phi(Type.double(), self.loop_variable)
+    variable_phi.add_incoming(start_value, pre_header_block)
+
+
+ +

Now that the "pre_header_block" for the loop is set up, we switch to emitting +code for the loop body. To begin with, we move the insertion point and create +the PHI node for the loop induction variable. Since we already know the +incoming value for the starting value, we add it to the Phi node. Note that the +Phi will eventually get a second value for the backedge, but we can't set it up +yet (because it doesn't exist!).

+ +
+
+    # Within the loop, the variable is defined equal to the PHI node.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = variable_phi
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+
+ +

Now the code starts to get more interesting. Our 'for' loop introduces a new +variable to the symbol table. This means that our symbol table can now contain +either function arguments or loop variables. To handle this, before we codegen +the body of the loop, we add the loop variable as the current value for its +name. Note that it is possible that there is a variable of the same name in the +outer scope. It would be easy to make this an error (emit an error and return +null if there is already an entry for VarName) but we choose to allow shadowing +of variables. In order to handle this correctly, we remember the Value that +we are potentially shadowing in old_value (which will be None if there +is no shadowed variable).

+ +

Once the loop variable is set into the symbol table, the code recursively +codegen's the body. This allows the body to use the loop variable: any +references to it will naturally find it in the symbol table.

+ +
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    next_value = g_llvm_builder.fadd(variable_phi, step_value, 'next')
+
+
+ +

Now that the body is emitted, we compute the next value of the iteration +variable by adding the step value, or 1.0 if it isn't present. +next_value will be the value of the loop variable on the next iteration +of the loop.

+ +
+
+    # Compute the end condition and convert it to a bool by comparing to 0.0.
+    end_condition = self.end.CodeGen()
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+
+ +

Finally, we evaluate the exit value of the loop, to determine whether the +loop should exit. This mirrors the condition evaluation for the if/then/else +statement.

+ +
+
+    # Create the "after loop" block and insert it.
+    loop_end_block = g_llvm_builder.basic_block
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_end_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+
+ +

With the code for the body of the loop complete, we just need to finish up +the control flow for it. This code remembers the end block (for the phi node), +then creates the block for the loop exit ("afterloop"). Based on the value of +the exit condition, it creates a conditional branch that chooses between +executing the loop again and exiting the loop. Any future code is emitted in +the "afterloop" block, so it sets the insertion position to it.

+ +
+
+    # Add a new entry to the PHI node for the backedge.
+    variable_phi.add_incoming(next_value, loop_end_block)
+
+    # Restore the unshadowed variable.
+    if old_value:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+
+ +

The final code handles various cleanups: now that we have the "next_value", +we can add the incoming value to the loop PHI node. After that, we remove the +loop variable from the symbol table, so that it isn't in scope after the for +loop. Finally, code generation of the for loop always returns 0.0, so that is +what we return from ForExpressionNode::CodeGen.

+ +

With this, we conclude the "adding control flow to Kaleidoscope" chapter of +the tutorial. In this chapter we added two control flow constructs, and used +them to motivate a couple of aspects of the LLVM IR that are important for +front-end implementors to know. In the next chapter of our saga, we will get a +bit crazier and add user-defined operators to +our poor innocent language.

+ +
+ + + + + +
+ +

+Here is the complete code listing for our running example, enhanced with the +if/then/else and for expressions:

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+
+from llvm.core import FCMP_ULT, FCMP_ONE
+from llvm.passes import (PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object): pass
+class DefToken(object): pass
+class ExternToken(object): pass
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      raise RuntimeError('Unknown binary operator.')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    # Output this as:
+    #   ...
+    #   start = startexpr
+    #   goto loop
+    # loop:
+    #   variable = phi [start, loopheader], [nextvariable, loopend]
+    #   ...
+    #   bodyexpr
+    #   ...
+    # loopend:
+    #   step = stepexpr
+    #   nextvariable = variable + step
+    #   endcond = endexpr
+    #   br endcond, loop, endloop
+    # outloop:
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Make the new basic block for the loop header, inserting after current
+    # block.
+    function = g_llvm_builder.basic_block.function
+    pre_header_block = g_llvm_builder.basic_block
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fallthrough from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block)
+
+    # Start the PHI node with an entry for start.
+    variable_phi = g_llvm_builder.phi(Type.double(), self.loop_variable)
+    variable_phi.add_incoming(start_value, pre_header_block)
+
+    # Within the loop, the variable is defined equal to the PHI node.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = variable_phi
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    next_value = g_llvm_builder.fadd(variable_phi, step_value, 'next')
+
+    # Compute the end condition and convert it to a bool by comparing to 0.0.
+    end_condition = self.end.CodeGen()
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+    # Create the "after loop" block and insert it.
+    loop_end_block = g_llvm_builder.basic_block
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_end_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+    # Add a new entry to the PHI node for the backedge.
+    variable_phi.add_incoming(next_value, loop_end_block)
+
+    # Restore the unshadowed variable.
+    if old_value:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes).
+class PrototypeNode(object):
+
+  def __init__(self, name, args):
+    self.name = name
+    self.args = args
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If the function took a different number of args, reject.
+      if len(function.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens, binop_precedence):
+    self.tokens = tokens
+    self.binop_precedence = binop_precedence
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return self.binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+  # primary ::= identifierexpr | numberexpr | parenexpr | ifexpr | forexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # binoprhs ::= (operator primary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the primary expression after the binary operator.
+      right = self.ParsePrimary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= primary binoprhs
+  def ParseExpression(self):
+    left = self.ParsePrimary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype ::= id '(' id* ')'
+  def ParsePrototype(self):
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected function name in prototype.')
+
+    function_name = self.current.name
+    self.Next()  # eat function name.
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    return PrototypeNode(function_name, arg_names)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  operator_precedence = {
+    '<': 10,
+    '+': 20,
+    '-': 20,
+    '*': 40
+  }
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw), operator_precedence)
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Extending the language: user-defined operators +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl6.html b/www/web/kaleidoscope/PythonLangImpl6.html new file mode 100644 index 0000000..55d4fb8 --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl6.html @@ -0,0 +1,1605 @@ + + + + + Kaleidoscope: Extending the Language: User-defined Operators + + + + + + + + +
Kaleidoscope: Extending the Language: User-defined +Operators
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + + + + +
+ +

Welcome to Chapter 6 of the +"Implementing a language +with LLVM" tutorial. At this point in our tutorial, we now have a fully +functional language that is fairly minimal, but also useful. There +is still one big problem with it, however. Our language doesn't have many +useful operators (like division, logical negation, or even any comparisons +besides less-than).

+ +

This chapter of the tutorial takes a wild digression into adding user-defined +operators to the simple and beautiful Kaleidoscope language. This digression now +gives us a simple and ugly language in some ways, but also a powerful one at the +same time. One of the great things about creating your own language is that you +get to decide what is good or bad. In this tutorial we'll assume that it is +okay to use this as a way to show some interesting parsing techniques.

+ +

At the end of this tutorial, we'll run through an example Kaleidoscope +application that renders the Mandelbrot set. This gives +an example of what you can build with Kaleidoscope and its feature set.

+ +
+ + + + + +
+ +

+The "operator overloading" that we will add to Kaleidoscope is more general than +languages like C++. In C++, you are only allowed to redefine existing +operators: you can't programatically change the grammar, introduce new +operators, change precedence levels, etc. In this chapter, we will add this +capability to Kaleidoscope, which will let the user round out the set of +operators that are supported.

+ +

The point of going into user-defined operators in a tutorial like this is to +show the power and flexibility of using a hand-written parser. Thus far, the +parser we have been implementing uses recursive descent for most parts of the +grammar and operator precedence parsing for the expressions. See Chapter 2 for details. Without using operator +precedence parsing, it would be very difficult to allow the programmer to +introduce new operators into the grammar: the grammar is dynamically extensible +as the JIT runs.

+ +

The two specific features we'll add are programmable unary operators (right +now, Kaleidoscope has no unary operators at all) as well as binary operators. +An example of this is:

+ +
+
+# Logical unary not.
+def unary!(v)
+  if v then
+    0
+  else
+    1
+
+# Define > with the same precedence as <.
+def binary> 10 (LHS RHS)
+  RHS < LHS
+
+# Binary "logical or", (note that it does not "short circuit").
+def binary| 5 (LHS RHS)
+  if LHS then
+    1
+  else if RHS then
+    1
+  else
+    0
+
+# Define = with slightly lower precedence than relationals.
+def binary= 9 (LHS RHS)
+  !(LHS < RHS | LHS > RHS)
+
+
+ +

Many languages aspire to being able to implement their standard runtime +library in the language itself. In Kaleidoscope, we can implement significant +parts of the language in the library!

+ +

We will break down implementation of these features into two parts: +implementing support for user-defined binary operators and adding unary +operators.

+ +
+ + + + + +
+ +

Adding support for user-defined binary operators is pretty simple with our +current framework. We'll first add support for the unary/binary keywords:

+ +
+
+class InToken(object): pass
+class BinaryToken(object): pass
+class UnaryToken(object): pass
+...
+def Tokenize(string):
+  ...
+      elif identifier == 'in':
+        yield InToken()
+      elif identifier == 'binary':
+        yield BinaryToken()
+      elif identifier == 'unary':
+        yield UnaryToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +

This just adds lexer support for the unary and binary keywords, like we +did in previous chapters. One nice +thing about our current AST, is that we represent binary operators with full +generalisation by using their ASCII code as the opcode. For our extended +operators, we'll use this same representation, so we don't need any new AST or +parser support.

+ +

On the other hand, we have to be able to represent the definitions of these +new operators, in the "def binary| 5" part of the function definition. In our +grammar so far, the "name" for the function definition is parsed as the +"prototype" production and into the PrototypeNode. To represent our +new user-defined operators as prototypes, we have to extend the +PrototypeNode like this:

+ +
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes), as well as if it is an operator.
+class PrototypeNode(object):
+
+  def __init__(self, name, args, is_operator=False, precedence=0):
+    self.name = name
+    self.args = args
+    self.is_operator = is_operator
+    self.precedence = precedence
+
+  def IsBinaryOp(self):
+    return self.is_operator and len(self.args) == 2
+
+  def GetOperatorName(self):
+    assert self.is_operator
+    return self.name[-1]
+
+  def CodeGen(self):
+    ...
+
+
+ +

Basically, in addition to knowing a name for the prototype, we now keep track +of whether it was an operator, and if it was, what precedence level the operator +is at. The precedence is only used for binary operators (as you'll see below, +it just doesn't apply for unary operators). Now that we have a way to represent +the prototype for a user-defined operator, we need to parse it:

+ +
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      kind = 'normal'
+      function_name = self.current.name
+      self.Next()  # eat function name.
+    elif isinstance(self.current, BinaryToken):
+      kind = 'binary'
+      self.Next()  # eat 'binary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "binary".')
+      function_name = 'binary' + self.current.char
+      self.Next()  # eat the operator.
+      if isinstance(self.current, NumberToken):
+        if not 1 <= self.current.value <= 100:
+          raise RuntimeError('Invalid precedence: must be in range [1, 100].')
+        precedence = self.current.value
+        self.Next()  # eat the precedence.
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    if kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+
+
+ +

This is all fairly straightforward parsing code, and we have already seen +a lot of similar code in the past. One interesting part about the code above is +the couple lines that set up function_name for operators. This builds +names like "binary@" for a newly defined "@" operator. This then takes +advantage of the fact that symbol names in the LLVM symbol table are allowed to +have any character in them.

+ +

The next interesting thing to add, is codegen support for these binary +operators. Given our current structure, this is a simple addition of a default +case for our existing binary operator node:

+ +
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      function = g_llvm_module.get_function_named('binary' + self.operator)
+      return g_llvm_builder.call(function, [left, right], 'binop')
+
+
+ +

As you can see above, the new code is actually really simple. It just does +a lookup for the appropriate operator in the symbol table and generates a +function call to it. Since user-defined operators are just built as normal +functions (because the "prototype" boils down to a function with the right +name) everything falls into place.

+ +

The final piece of code we are missing, is a bit of top-level magic. We will +need to make the dinary precedence map global and modify it whenever we define a +new binary operator:

+ +
+
+# The binary operator precedence chart.
+g_binop_precedence = {}
+...
+class FunctionNode(object):
+  ...
+  def CodeGen(self):
+    ...
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # If this is a binary operator, install its precedence.
+    if self.prototype.IsBinaryOp():
+      operator = self.prototype.GetOperatorName()
+      g_binop_precedence[operator] = self.prototype.precedence
+    ...
+    # Finish off the function.
+    try:
+      ...
+    except:
+      function.delete()
+      if self.prototype.IsBinaryOp():
+        del g_binop_precedence[self.prototype.GetOperatorName()]
+      raise
+
+    return function
+...
+def main():
+  ...
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+  g_binop_precedence['*'] = 40
+  ...
+
+
+ +

Basically, before CodeGening a function, if it is a user-defined operator, we +register it in the precedence table. This allows the binary operator parsing +logic we already have in place to handle it. Since we are working on a +fully-general operator precedence parser, this is all we need to do to "extend +the grammar".

+ +

Now we have useful user-defined binary operators. This builds a lot +on the previous framework we built for other operators. Adding unary operators +is a bit more challenging, because we don't have any framework for it yet - +let's see what it takes.

+ +
+ + + + + +
+ +

Since we don't currently support unary operators in the Kaleidoscope +language, we'll need to add everything to support them. Above, we added simple +support for the 'unary' keyword to the lexer. In addition to that, we need an +AST node:

+ +
+
+# Expression class for a unary operator.
+class UnaryExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, operand):
+    self.operator = operator
+    self.operand = operand
+
+  def CodeGen(self):
+    ...
+
+
+ +

This AST node is very simple and obvious by now. It directly mirrors the +binary operator AST node, except that it only has one child. With this, we +need to add the parsing logic. Parsing a unary operator is pretty simple: we'll +add a new function to do it:

+ +
+
+  # unary ::= primary | unary_operator unary
+  def ParseUnary(self):
+    # If the current token is not an operator, it must be a primary expression.
+    if (not isinstance(self.current, CharacterToken) or
+        self.current in [CharacterToken('('), CharacterToken(',')]):
+      return self.ParsePrimary()
+
+    # If this is a unary operator, read it.
+    operator = self.current.char
+    self.Next()  # eat the operator.
+    return UnaryExpressionNode(operator, self.ParseUnary())
+
+
+ +

The grammar we add is pretty straightforward here. If we see a unary +operator when parsing a primary operator, we eat the operator as a prefix and +parse the remaining piece as another unary operator. This allows us to handle +multiple unary operators (e.g. "!!x"). Note that unary operators can't have +ambiguous parses like binary operators can, so there is no need for precedence +information.

+ +

The problem with this function, is that we need to call ParseUnary from +somewhere. To do this, we change previous callers of ParsePrimary to call +ParseUnary instead:

+ +
+
+  # binoprhs ::= (binary_operator unary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    ...
+      # Parse the unary expression after the binary operator.
+      right = self.ParseUnary()
+    ...
+
+  # expression ::= unary binoprhs
+  def ParseExpression(self):
+    left = self.ParseUnary()
+    return self.ParseBinOpRHS(left, 0)
+
+
+ +

With these two simple changes, we are now able to parse unary operators and +build the AST for them. Next up, we need to add parser support for prototypes, +to parse the unary operator prototype. We extend the binary operator code above +with:

+ +
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      ...
+    elif isinstance(self.current, UnaryToken):
+      kind = 'unary'
+      self.Next()  # eat 'unary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "unary".')
+      function_name = 'unary' + self.current.char
+      self.Next()  # eat the operator.
+    elif isinstance(self.current, BinaryToken):
+      ...
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+    ...
+    if kind == 'unary' and len(arg_names) != 1:
+      raise RuntimeError('Invalid number of arguments for a unary operator.')
+    elif kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+
+ +

As with binary operators, we name unary operators with a name that includes +the operator character. This assists us at code generation time. Speaking of, +the final piece we need to add is codegen support for unary operators. It looks +like this:

+ +
+
+class UnaryExpressionNode(ExpressionNode):
+  ...
+  def CodeGen(self):
+    operand = self.operand.CodeGen()
+    function = g_llvm_module.get_function_named('unary' + self.operator)
+    return g_llvm_builder.call(function, [operand], 'unop')
+
+
+ +

This code is similar to, but simpler than, the code for binary operators. It +is simpler primarily because it doesn't need to handle any predefined operators. +

+ +
+ + + + + +
+ +

It is somewhat hard to believe, but with a few simple extensions we've +covered in the last chapters, we have grown a real-ish language. With this, we +can do a lot of interesting things, including I/O, math, and a bunch of other +things. For example, we can now add a nice sequencing operator (assuming we +import putchard as described in +Chapter +4):

+ +
+
+ready> def binary : 1 (x y) 0  # Low-precedence operator that ignores operands.
+...
+ready> extern putchard(x)
+...
+ready> def printd(x) putchard(x) : putchard(10)
+..
+ready> printd(65) : printd(66) : printd(67)
+A
+B
+C
+Evaluated to: 0.0
+
+
+ +

We can also define a bunch of other "primitive" operations, such as:

+ +
+
+# Logical unary not.
+def unary!(v)
+  if v then
+    0
+  else
+    1
+
+# Unary negate.
+def unary-(v)
+  0-v
+
+# Define > with the same precedence as <.
+def binary> 10 (LHS RHS)
+  RHS < LHS
+
+# Binary logical or, which does not short circuit.
+def binary| 5 (LHS RHS)
+  if LHS then
+    1
+  else if RHS then
+    1
+  else
+    0
+
+# Binary logical and, which does not short circuit.
+def binary& 6 (LHS RHS)
+  if !LHS then
+    0
+  else
+    !!RHS
+
+# Define = with slightly lower precedence than relationals.
+def binary = 9 (LHS RHS)
+  !(LHS < RHS | LHS > RHS)
+
+
+
+ + +

Given the previous if/then/else support, we can also define interesting +functions for I/O. For example, the following prints out a character whose +"density" reflects the value passed in: the lower the value, the denser the +character:

+ +
+
+ready>
+
+extern putchard(char)
+def printdensity(d)
+  if d > 8 then
+    putchard(32)  # ' '
+  else if d > 4 then
+    putchard(46)  # '.'
+  else if d > 2 then
+    putchard(43)  # '+'
+  else
+    putchard(42); # '*'
+...
+ready> printdensity(1): printdensity(2): printdensity(3) :
+          printdensity(4): printdensity(5): printdensity(9): putchard(10)
+*++..
+Evaluated to 0.000000
+
+
+ +

Based on these simple primitive operations, we can start to define more +interesting things. For example, here's a little function that solves for the +number of iterations it takes a function in the complex plane to +converge:

+ +
+
+# determine whether the specific location diverges.
+# Solve for z = z^2 + c in the complex plane.
+def mandelconverger(real imag iters creal cimag)
+  if iters > 255 | (real*real + imag*imag > 4) then
+    iters
+  else
+    mandelconverger(real*real - imag*imag + creal,
+                    2*real*imag + cimag,
+                    iters+1, creal, cimag)
+
+# return the number of iterations required for the iteration to escape
+def mandelconverge(real imag)
+  mandelconverger(real, imag, 0, real, imag)
+
+
+ +

This "z = z2 + c" function is a beautiful little creature that is +the basis for computation of the Mandelbrot Set. Our +mandelconverge function returns the number of iterations that it takes +for a complex orbit to escape, saturating to 255. This is not a very useful +function by itself, but if you plot its value over a two-dimensional plane, +you can see the Mandelbrot set. Given that we are limited to using putchard +here, our amazing graphical output is limited, but we can whip together +something using the density plotter above:

+ +
+
+# compute and plot the mandlebrot set with the specified 2 dimensional range
+# info.
+def mandelhelp(xmin xmax xstep   ymin ymax ystep)
+  for y = ymin, y < ymax, ystep in (
+    (for x = xmin, x < xmax, xstep in
+       printdensity(mandleconverge(x,y)))
+    : putchard(10)
+  )
+
+# mandel - This is a convenient helper function for ploting the mandelbrot set
+# from the specified position with the specified Magnification.
+def mandel(realstart imagstart realmag imagmag)
+  mandelhelp(realstart, realstart+realmag*78, realmag,
+             imagstart, imagstart+imagmag*40, imagmag);
+
+
+ +

Given this, we can try plotting out the mandlebrot set! Lets try it out:

+ +
+
+ready> mandel(-2.3, -1.3, 0.05, 0.07)
+*******************************************************************************
+*******************************************************************************
+****************************************++++++*********************************
+************************************+++++...++++++*****************************
+*********************************++++++++.. ...+++++***************************
+*******************************++++++++++..   ..+++++**************************
+******************************++++++++++.     ..++++++*************************
+****************************+++++++++....      ..++++++************************
+**************************++++++++.......      .....++++***********************
+*************************++++++++.   .            ... .++**********************
+***********************++++++++...                     ++**********************
+*********************+++++++++....                    .+++*********************
+******************+++..+++++....                      ..+++********************
+**************++++++. ..........                        +++********************
+***********++++++++..        ..                         .++********************
+*********++++++++++...                                 .++++*******************
+********++++++++++..                                   .++++*******************
+*******++++++.....                                    ..++++*******************
+*******+........                                     ...++++*******************
+*******+... ....                                     ...++++*******************
+*******+++++......                                    ..++++*******************
+*******++++++++++...                                   .++++*******************
+*********++++++++++...                                  ++++*******************
+**********+++++++++..        ..                        ..++********************
+*************++++++.. ..........                        +++********************
+******************+++...+++.....                      ..+++********************
+*********************+++++++++....                    ..++*********************
+***********************++++++++...                     +++*********************
+*************************+++++++..   .            ... .++**********************
+**************************++++++++.......      ......+++***********************
+****************************+++++++++....      ..++++++************************
+*****************************++++++++++..     ..++++++*************************
+*******************************++++++++++..  ...+++++**************************
+*********************************++++++++.. ...+++++***************************
+***********************************++++++....+++++*****************************
+***************************************++++++++********************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+Evaluated to 0.0
+ready> mandel(-2, -1, 0.02, 0.04)
+******************************************************************+++++++++++++
+****************************************************************+++++++++++++++
+*************************************************************++++++++++++++++++
+***********************************************************++++++++++++++++++++
+********************************************************+++++++++++++++++++++++
+******************************************************++++++++++++++++++++++...
+***************************************************+++++++++++++++++++++.......
+*************************************************++++++++++++++++++++..........
+***********************************************+++++++++++++++++++...       ...
+********************************************++++++++++++++++++++......
+******************************************++++++++++++++++++++.......
+***************************************+++++++++++++++++++++..........
+************************************++++++++++++++++++++++...........
+********************************++++++++++++++++++++++++.........
+***************************++++++++...........+++++..............
+*********************++++++++++++....  .........................
+***************+++++++++++++++++....   .........   ............
+***********+++++++++++++++++++++.....                   ......
+********+++++++++++++++++++++++.......
+******+++++++++++++++++++++++++........
+****+++++++++++++++++++++++++.......
+***+++++++++++++++++++++++.........
+**++++++++++++++++...........
+*++++++++++++................
+*++++....................
+
+*++++....................
+*++++++++++++................
+**++++++++++++++++...........
+***+++++++++++++++++++++++.........
+****+++++++++++++++++++++++++.......
+******+++++++++++++++++++++++++........
+********+++++++++++++++++++++++.......
+***********+++++++++++++++++++++.....                   ......
+***************+++++++++++++++++....   .........   ............
+*********************++++++++++++....  .........................
+***************************++++++++...........+++++..............
+********************************++++++++++++++++++++++++.........
+************************************++++++++++++++++++++++...........
+***************************************+++++++++++++++++++++..........
+******************************************++++++++++++++++++++.......
+Evaluated to: 0.0
+ready> mandel(-0.9, -1.4, 0.02, 0.03)
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+*******************************************************************************
+****************************+++++++++++++++++**********************************
+***********************+++++++++++...++++++++++++******************************
+********************+++++++++++++.. . .++++++++++++++**************************
+*****************++++++++++++++++... ......++++++++++++************************
+**************+++++++++++++++++++...   .......+++++++++++**********************
+************++++++++++++++++++++....    .... ..++++++++++++********************
+**********++++++++++++++++++++++......       ...++++++++++++*******************
+********+++++++++++++++++++++++.......     .....++++++++++++++*****************
+******++++++++++++++++++++++++.......      .....+++++++++++++++****************
+****+++++++++++++++++++++++++.... .         .....+++++++++++++++***************
+**+++++++++++++++++++++++++....                ...++++++++++++++++*************
+*+++++++++++++++++++++++.......                ....++++++++++++++++************
++++++++++++++++++++++..........                .....++++++++++++++++***********
+++++++++++++++++++.............                .......+++++++++++++++**********
++++++++++++++++................                ............++++++++++**********
++++++++++++++.................                  .................+++++*********
++++++++++++...       ....                            ..........  .+++++********
+++++++++++.....                                       ........  ...+++++*******
+++++++++......                                                   ..++++++******
++++++++........                                                   ..+++++******
++++++..........                                                   ..++++++*****
+++++..........                                                  ....++++++*****
+++..........                                                    ....+++++++****
+..........                                                     ......+++++++***
+..........                                                      .....+++++++***
+..........                                                       .....++++++***
+.........                                                            .+++++++**
+........                                                             .+++++++**
+ ......                                                             ...+++++++*
+   .                                                              ....++++++++*
+                                                                   ...++++++++*
+                                                                    ..+++++++++
+                                                                    ..+++++++++
+Evaluated to: 0.0
+ready> ^C
+
+
+ +

At this point, you may be starting to realize that Kaleidoscope is a real +and powerful language. It may not be self-similar :), but it can be used to +plot things that are!

+ +

With this, we conclude the "adding user-defined operators" chapter of the +tutorial. We have successfully augmented our language, adding the ability to extend the +language in the library, and we have shown how this can be used to build a simple but +interesting end-user application in Kaleidoscope. At this point, Kaleidoscope +can build a variety of applications that are functional and can call functions +with side-effects, but it can't actually define and mutate a variable itself. +

+ +

Strikingly, variable mutation is an important feature of some +languages, and it is not at all obvious how to +add support for mutable variables without +having to add an "SSA construction" phase to your front-end. In the next +chapter, we will describe how you can add variable mutation without building SSA +in your front-end.

+ +
+ + + + + +
+ +

+Here is the complete code listing for our running example, enhanced with the +if/then/else and for expressions:

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+
+from llvm.core import FCMP_ULT, FCMP_ONE
+from llvm.passes import (PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+# The binary operator precedence chart.
+g_binop_precedence = {}
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object): pass
+class DefToken(object): pass
+class ExternToken(object): pass
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+class BinaryToken(object): pass
+class UnaryToken(object): pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      elif identifier == 'binary':
+        yield BinaryToken()
+      elif identifier == 'unary':
+        yield UnaryToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_named_values[self.name]
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      function = g_llvm_module.get_function_named('binary' + self.operator)
+      return g_llvm_builder.call(function, [left, right], 'binop')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    # Output this as:
+    #   ...
+    #   start = startexpr
+    #   goto loop
+    # loop:
+    #   variable = phi [start, loopheader], [nextvariable, loopend]
+    #   ...
+    #   bodyexpr
+    #   ...
+    # loopend:
+    #   step = stepexpr
+    #   nextvariable = variable + step
+    #   endcond = endexpr
+    #   br endcond, loop, endloop
+    # outloop:
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Make the new basic block for the loop header, inserting after current
+    # block.
+    function = g_llvm_builder.basic_block.function
+    pre_header_block = g_llvm_builder.basic_block
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fallthrough from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block)
+
+    # Start the PHI node with an entry for start.
+    variable_phi = g_llvm_builder.phi(Type.double(), self.loop_variable)
+    variable_phi.add_incoming(start_value, pre_header_block)
+
+    # Within the loop, the variable is defined equal to the PHI node.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = variable_phi
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    next_value = g_llvm_builder.fadd(variable_phi, step_value, 'next')
+
+    # Compute the end condition and convert it to a bool by comparing to 0.0.
+    end_condition = self.end.CodeGen()
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+    # Create the "after loop" block and insert it.
+    loop_end_block = g_llvm_builder.basic_block
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_end_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+    # Add a new entry to the PHI node for the backedge.
+    variable_phi.add_incoming(next_value, loop_end_block)
+
+    # Restore the unshadowed variable.
+    if old_value:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+# Expression class for a unary operator.
+class UnaryExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, operand):
+    self.operator = operator
+    self.operand = operand
+
+  def CodeGen(self):
+    operand = self.operand.CodeGen()
+    function = g_llvm_module.get_function_named('unary' + self.operator)
+    return g_llvm_builder.call(function, [operand], 'unop')
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes), as well as if it is an operator.
+class PrototypeNode(object):
+
+  def __init__(self, name, args, is_operator=False, precedence=0):
+    self.name = name
+    self.args = args
+    self.is_operator = is_operator
+    self.precedence = precedence
+
+  def IsBinaryOp(self):
+    return self.is_operator and len(self.args) == 2
+
+  def GetOperatorName(self):
+    assert self.is_operator
+    return self.name[-1]
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If the function took a different number of args, reject.
+      if len(function.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+      # Add arguments to variable symbol table.
+      g_named_values[arg_name] = arg
+
+    return function
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # If this is a binary operator, install its precedence.
+    if self.prototype.IsBinaryOp():
+      operator = self.prototype.GetOperatorName()
+      g_binop_precedence[operator] = self.prototype.precedence
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      if self.prototype.IsBinaryOp():
+        del g_binop_precedence[self.prototype.GetOperatorName()]
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens):
+    self.tokens = tokens
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return g_binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+  # primary ::= identifierexpr | numberexpr | parenexpr | ifexpr | forexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # unary ::= primary | unary_operator unary
+  def ParseUnary(self):
+    # If the current token is not an operator, it must be a primary expression.
+    if (not isinstance(self.current, CharacterToken) or
+        self.current in [CharacterToken('('), CharacterToken(',')]):
+      return self.ParsePrimary()
+
+    # If this is a unary operator, read it.
+    operator = self.current.char
+    self.Next()  # eat the operator.
+    return UnaryExpressionNode(operator, self.ParseUnary())
+
+  # binoprhs ::= (binary_operator unary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the unary expression after the binary operator.
+      right = self.ParseUnary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= unary binoprhs
+  def ParseExpression(self):
+    left = self.ParseUnary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      kind = 'normal'
+      function_name = self.current.name
+      self.Next()  # eat function name.
+    elif isinstance(self.current, UnaryToken):
+      kind = 'unary'
+      self.Next()  # eat 'unary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "unary".')
+      function_name = 'unary' + self.current.char
+      self.Next()  # eat the operator.
+    elif isinstance(self.current, BinaryToken):
+      kind = 'binary'
+      self.Next()  # eat 'binary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "binary".')
+      function_name = 'binary' + self.current.char
+      self.Next()  # eat the operator.
+      if isinstance(self.current, NumberToken):
+        if not 1 <= self.current.value <= 100:
+          raise RuntimeError('Invalid precedence: must be in range [1, 100].')
+        precedence = self.current.value
+        self.Next()  # eat the precedence.
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    if kind == 'unary' and len(arg_names) != 1:
+      raise RuntimeError('Invalid number of arguments for a unary operator.')
+    elif kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+  g_binop_precedence['*'] = 40
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready>',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw))
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Extending the language: mutable variables +/ SSA construction +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl7.html b/www/web/kaleidoscope/PythonLangImpl7.html new file mode 100644 index 0000000..208627c --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl7.html @@ -0,0 +1,1905 @@ + + + + + Kaleidoscope: Extending the Language: Mutable Variables / SSA + construction + + + + + + + + +
Kaleidoscope: Extending the Language: Mutable +Variables
+ + + +
+

Written by Chris Lattner + and Max Shawabkeh +

+
+ + + + + +
+ +

Welcome to Chapter 7 of the +"Implementing a language +with LLVM" tutorial. In chapters 1 through 6, we've built a very +respectable, albeit simple, functional +programming language. In our journey, we learned some parsing techniques, +how to build and represent an AST, how to build LLVM IR, and how to optimize +the resultant code as well as JIT compile it.

+ +

While Kaleidoscope is interesting as a functional language, the fact that it +is functional makes it "too easy" to generate LLVM IR for it. In particular, a +functional language makes it very easy to build LLVM IR directly in SSA form. +Since LLVM requires that the input code be in SSA form, this is a very nice +property and it is often unclear to newcomers how to generate code for an +imperative language with mutable variables.

+ +

The short (and happy) summary of this chapter is that there is no need for +your front-end to build SSA form: LLVM provides highly tuned and well tested +support for this, though the way it works is a bit unexpected for some.

+ +
+ + + + + +
+ +

+To understand why mutable variables cause complexities in SSA construction, +consider this extremely simple C example: +

+ +
+
+int G, H;
+int test(_Bool Condition) {
+  int X;
+  if (Condition)
+    X = G;
+  else
+    X = H;
+  return X;
+}
+
+
+ +

In this case, we have the variable "X", whose value depends on the path +executed in the program. Because there are two different possible values for X +before the return instruction, a PHI node is inserted to merge the two values. +The LLVM IR that we want for this example looks like this:

+ +
+
+@G = weak global i32 0   ; type of @G is i32*
+@H = weak global i32 0   ; type of @H is i32*
+
+define i32 @test(i1 %Condition) {
+entry:
+	br i1 %Condition, label %cond_true, label %cond_false
+
+cond_true:
+	%X.0 = load i32* @G
+	br label %cond_next
+
+cond_false:
+	%X.1 = load i32* @H
+	br label %cond_next
+
+cond_next:
+	%X.2 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ]
+	ret i32 %X.2
+}
+
+
+ +

In this example, the loads from the G and H global variables are explicit in +the LLVM IR, and they live in the then/else branches of the if statement +(cond_true/cond_false). In order to merge the incoming values, the X.2 phi node +in the cond_next block selects the right value to use based on where control +flow is coming from: if control flow comes from the cond_false block, X.2 gets +the value of X.1. Alternatively, if control flow comes from cond_true, it gets +the value of X.0. The intent of this chapter is not to explain the details of +SSA form. For more information, see one of the many online +references.

+ +

The question for this article is "who places the phi nodes when lowering +assignments to mutable variables?". The issue here is that LLVM +requires that its IR be in SSA form: there is no "non-ssa" mode for it. +However, SSA construction requires non-trivial algorithms and data structures, +so it is inconvenient and wasteful for every front-end to have to reproduce this +logic.

+ +
+ + + + + +
+ +

The 'trick' here is that while LLVM does require all register values to be +in SSA form, it does not require (or permit) memory objects to be in SSA form. +In the example above, note that the loads from G and H are direct accesses to +G and H: they are not renamed or versioned. This differs from some other +compiler systems, which do try to version memory objects. In LLVM, instead of +encoding dataflow analysis of memory into the LLVM IR, it is handled with Analysis Passes +which are computed on demand.

+ +

+With this in mind, the high-level idea is that we want to make a stack variable +(which lives in memory, because it is on the stack) for each mutable object in +a function. To take advantage of this trick, we need to talk about how LLVM +represents stack variables. +

+ +

In LLVM, all memory accesses are explicit with load/store instructions, and +it is carefully designed not to have (or need) an "address-of" operator. +Notice how the type of the @G/@H global variables is actually "i32*" even though +the variable is defined as "i32". What this means is that @G defines +space for an i32 in the global data area, but its name +actually refers to the address for that space. Stack variables work the same +way, except that instead of being declared with global variable definitions, +they are declared with the +LLVM alloca +instruction:

+ +
+
+define i32 @example() {
+entry:
+	%X = alloca i32           ; type of %X is i32*.
+	...
+	%tmp = load i32* %X       ; load the stack value %X from the stack.
+	%tmp2 = add i32 %tmp, 1   ; increment it
+	store i32 %tmp2, i32* %X  ; store it back
+	...
+
+
+ +

This code shows an example of how you can declare and manipulate a stack +variable in the LLVM IR. Stack memory allocated with the alloca instruction is +fully general: you can pass the address of the stack slot to functions, you can +store it in other variables, etc. In our example above, we could rewrite the +example to use the alloca technique to avoid using a PHI node:

+ +
+
+@G = weak global i32 0   ; type of @G is i32*
+@H = weak global i32 0   ; type of @H is i32*
+
+define i32 @test(i1 %Condition) {
+entry:
+	%X = alloca i32           ; type of %X is i32*.
+	br i1 %Condition, label %cond_true, label %cond_false
+
+cond_true:
+	%X.0 = load i32* @G
+        store i32 %X.0, i32* %X   ; Update X
+	br label %cond_next
+
+cond_false:
+	%X.1 = load i32* @H
+        store i32 %X.1, i32* %X   ; Update X
+	br label %cond_next
+
+cond_next:
+	%X.2 = load i32* %X       ; Read X
+	ret i32 %X.2
+}
+
+
+ +

With this, we have discovered a way to handle arbitrary mutable variables +without the need to create Phi nodes at all:

+ +
    +
  1. Each mutable variable becomes a stack allocation.
  2. +
  3. Each read of the variable becomes a load from the stack.
  4. +
  5. Each update of the variable becomes a store to the stack.
  6. +
  7. Taking the address of a variable just uses the stack address directly.
  8. +
+ +

While this solution has solved our immediate problem, it introduced another +one: we have now apparently introduced a lot of stack traffic for very simple +and common operations, a major performance problem. Fortunately for us, the +LLVM optimizer has a highly-tuned optimization pass named "mem2reg" that handles +this case, promoting allocas like this into SSA registers, inserting Phi nodes +as appropriate. If you run this example through the pass, for example, you'll +get:

+ +
+
+$ llvm-as < example.ll | opt -mem2reg | llvm-dis
+@G = weak global i32 0
+@H = weak global i32 0
+
+define i32 @test(i1 %Condition) {
+entry:
+	br i1 %Condition, label %cond_true, label %cond_false
+
+cond_true:
+	%X.0 = load i32* @G
+	br label %cond_next
+
+cond_false:
+	%X.1 = load i32* @H
+	br label %cond_next
+
+cond_next:
+	%X.01 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ]
+	ret i32 %X.01
+}
+
+
+ +

The mem2reg pass implements the standard "iterated dominance frontier" +algorithm for constructing SSA form and has a number of optimizations that speed +up (very common) degenerate cases. The mem2reg optimization pass is the answer +to dealing with mutable variables, and we highly recommend that you depend on +it. Note that mem2reg only works on variables in certain circumstances:

+ +
    +
  1. mem2reg is alloca-driven: it looks for allocas and if it can handle them, it +promotes them. It does not apply to global variables or heap allocations.
  2. + +
  3. mem2reg only looks for alloca instructions in the entry block of the +function. Being in the entry block guarantees that the alloca is only executed +once, which makes analysis simpler.
  4. + +
  5. mem2reg only promotes allocas whose uses are direct loads and stores. If +the address of the stack object is passed to a function, or if any funny pointer +arithmetic is involved, the alloca will not be promoted.
  6. + +
  7. mem2reg only works on allocas of first class +values (such as pointers, scalars and vectors), and only if the array size +of the allocation is 1 (or missing in the .ll file). mem2reg is not capable of +promoting structs or arrays to registers. Note that the "scalarrepl" pass is +more powerful and can promote structs, "unions", and arrays in many cases.
  8. + +
+ +

+All of these properties are easy to satisfy for most imperative languages, and +we'll illustrate it below with Kaleidoscope. The final question you may be +asking is: should I bother with this nonsense for my front-end? Wouldn't it be +better if I just did SSA construction directly, avoiding use of the mem2reg +optimization pass? In short, we strongly recommend that you use this technique +for building SSA form, unless there is an extremely good reason not to. Using +this technique is:

+ +
    +
  • Proven and well tested: llvm-gcc and clang both use this technique for local +mutable variables. As such, the most common clients of LLVM are using this to +handle a bulk of their variables. You can be sure that bugs are found fast and +fixed early.
  • + +
  • Extremely Fast: mem2reg has a number of special cases that make it fast in +common cases as well as fully general. For example, it has fast-paths for +variables that are only used in a single block, variables that only have one +assignment point, good heuristics to avoid insertion of unneeded phi nodes, etc. +
  • + +
  • Needed for debug info generation: +Debug information +in LLVM relies on having the address of the variable exposed so that debug +info can be attached to it. This technique dovetails very naturally with this +style of debug info.
  • +
+ +

If nothing else, this makes it much easier to get your front-end up and +running, and is very simple to implement. Lets extend Kaleidoscope with mutable +variables now! +

+ +
+ + + + + +
+ +

Now that we know the sort of problem we want to tackle, lets see what this +looks like in the context of our little Kaleidoscope language. We're going to +add two features:

+ +
    +
  1. The ability to mutate variables with the '=' operator.
  2. +
  3. The ability to define new variables.
  4. +
+ +

While the first item is really what this is about, we only have variables +for incoming arguments as well as for induction variables, and redefining those +only goes so far :). Also, the ability to define new variables is a +useful thing regardless of whether you will be mutating them. Here's a +motivating example that shows how we could use these:

+ +
+
+# Define ':' for sequencing: as a low-precedence operator that ignores operands
+# and just returns the RHS.
+def binary : 1 (x y) y;
+
+# Recursive fib, we could do this before.
+def fib(x)
+  if (x < 3) then
+    1
+  else
+    fib(x-1) + fib(x-2)
+
+# Iterative fib.
+def fibi(x)
+  var a = 1, b = 1, c in
+  (for i = 3, i < x in
+     c = a + b :
+     a = b :
+     b = c) :
+  b
+
+# Call it.
+fibi(10)
+
+
+ +

+In order to mutate variables, we have to change our existing variables to use +the "alloca trick". Once we have that, we'll add our new operator, then extend +Kaleidoscope to support new variable definitions. +

+ +
+ + + + + +
+ +

+The symbol table in Kaleidoscope is managed at code generation time by the +g_named_values map. This map currently keeps track of the LLVM +"Value" that holds the double value for the named variable. In order to support +mutation, we need to change this slightly, so that it holds the memory +location of the variable in question. Note that this change is a +refactoring: it changes the structure of the code, but does not (by itself) +change the behavior of the compiler. All of these changes are isolated in the +Kaleidoscope code generator.

+ +

+At this point in Kaleidoscope's development, it only supports variables for two +things: incoming arguments to functions and the induction variable of 'for' +loops. For consistency, we'll allow mutation of these variables in addition to +other user-defined variables. This means that these will both need memory +locations. +

+ +

To start our transformation of Kaleidoscope, we will need to create the +allocas that we will store in g_named_values. We'll use a helper +function that ensures that the allocas are created in the entry block of the +function:

+ +
+
+# Creates an alloca instruction in the entry block of the function. This is used
+# for mutable variables.
+def CreateEntryBlockAlloca(function, var_name):
+  entry = function.get_entry_basic_block()
+  builder = Builder.new(entry)
+  builder.position_at_beginning(entry)
+  return builder.alloca(Type.double(), var_name)
+
+
+ +

This code creates a temporary llvm.core.Builder that is pointing at +the first instruction of the entry block. It then creates an alloca with the +expected name and returns it. Because all values in Kaleidoscope are doubles, +there is no need to pass in a type to use.

+ +

With this in place, the first functionality change we want to make is to +variable references. In our new scheme, variables live on the stack, so code +generating a reference to them actually needs to produce a load from the stack +slot:

+ +
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_llvm_builder.load(g_named_values[self.name], self.name)
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+
+ +

As you can see, this is pretty straightforward. Now we need to update the +things that define the variables to set up the alloca. We'll start with +ForExpressionNode.CodeGen (see the full code +listing for the unabridged code):

+ +
+
+  def CodeGen(self):
+    function = g_llvm_builder.basic_block.function
+
+    # Create an alloca for the variable in the entry block.
+    alloca = CreateEntryBlockAlloca(function, self.loop_variable)
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Store the value into the alloca.
+    g_llvm_builder.store(start_value, alloca)
+    ...
+    # Compute the end condition.
+    end_condition = self.end.CodeGen()
+
+    # Reload, increment, and restore the alloca.  This handles the case where
+    # the body of the loop mutates the variable.
+    cur_value = g_llvm_builder.load(alloca, self.loop_variable)
+    next_value = g_llvm_builder.fadd(cur_value, step_value, 'nextvar')
+    g_llvm_builder.store(next_value, alloca)
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+    ...
+
+
+ +

This code is virtually identical to the code before we allowed mutable variables. +The big difference is that we no longer have to construct a PHI node, and we use +load/store to access the variable as needed.

+ +

To support mutable argument variables, we need to also make allocas for them. +The code for this is also pretty simple:

+ +
+
+class PrototypeNode(object):
+  ...
+  # Create an alloca for each argument and register the argument in the symbol
+  # table so that references to it will succeed.
+  def CreateArgumentAllocas(self, function):
+    for arg_name, arg in zip(self.args, function.args):
+      alloca = CreateEntryBlockAlloca(function, arg_name)
+      g_llvm_builder.store(arg, alloca)
+      g_named_values[arg_name] =  alloca
+
+
+ +

For each argument, we make an alloca, store the input value to the function +into the alloca, and register the alloca as the memory location for the +argument. This method gets invoked by FunctionNode.CodeGen right after +it sets up the entry block for the function.

+ +

The final missing piece is adding the mem2reg pass, which allows us to get +good codegen once again:

+ +
+
+from llvm.passes import (PASS_PROMOTE_MEMORY_TO_REGISTER,
+                         PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+...
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Promote allocas to registers.
+  g_llvm_pass_manager.add(PASS_PROMOTE_MEMORY_TO_REGISTER)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+
+
+ +

It is interesting to see what the code looks like before and after the +mem2reg optimization runs. For example, this is the before/after code for our +recursive fib function. Before the optimization:

+ +
+
+define double @fib(double %x) {
+entry:
+	%x1 = alloca double
+	store double %x, double* %x1
+	%x2 = load double* %x1
+	%cmptmp = fcmp ult double %x2, 3.000000e+00
+	%booltmp = uitofp i1 %cmptmp to double
+	%ifcond = fcmp one double %booltmp, 0.000000e+00
+	br i1 %ifcond, label %then, label %else
+
+then:		; preds = %entry
+	br label %ifcont
+
+else:		; preds = %entry
+	%x3 = load double* %x1
+	%subtmp = fsub double %x3, 1.000000e+00
+	%calltmp = call double @fib(double %subtmp)
+	%x4 = load double* %x1
+	%subtmp5 = fsub double %x4, 2.000000e+00
+	%calltmp6 = call double @fib(double %subtmp5)
+	%addtmp = fadd double %calltmp, %calltmp6
+	br label %ifcont
+
+ifcont:		; preds = %else, %then
+	%iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ]
+	ret double %iftmp
+}
+
+
+ +

Here there is only one variable (x, the input argument) but you can still +see the extremely simple-minded code generation strategy we are using. In the +entry block, an alloca is created, and the initial input value is stored into +it. Each reference to the variable does a reload from the stack. Also, note +that we didn't modify the if/then/else expression, so it still inserts a PHI +node. While we could make an alloca for it, it is actually easier to create a +PHI node for it, so we still just make the PHI.

+ +

Here is the code after the mem2reg pass runs:

+ +
+
+define double @fib(double %x) {
+entry:
+	%cmptmp = fcmp ult double %x, 3.000000e+00
+	%booltmp = uitofp i1 %cmptmp to double
+	%ifcond = fcmp one double %booltmp, 0.000000e+00
+	br i1 %ifcond, label %then, label %else
+
+then:
+	br label %ifcont
+
+else:
+	%subtmp = fsub double %x, 1.000000e+00
+	%calltmp = call double @fib(double %subtmp)
+	%subtmp5 = fsub double %x, 2.000000e+00
+	%calltmp6 = call double @fib(double %subtmp5)
+	%addtmp = fadd double %calltmp, %calltmp6
+	br label %ifcont
+
+ifcont:		; preds = %else, %then
+	%iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ]
+	ret double %iftmp
+}
+
+
+ +

This is a trivial case for mem2reg, since there are no redefinitions of the +variable. The point of showing this is to calm your tension about inserting +such blatent inefficiencies :).

+ +

After the rest of the optimizers run, we get:

+ +
+
+define double @fib(double %x) {
+entry:
+	%cmptmp = fcmp ult double %x, 3.000000e+00
+	%booltmp = uitofp i1 %cmptmp to double
+	%ifcond = fcmp ueq double %booltmp, 0.000000e+00
+	br i1 %ifcond, label %else, label %ifcont
+
+else:
+	%subtmp = fsub double %x, 1.000000e+00
+	%calltmp = call double @fib(double %subtmp)
+	%subtmp5 = fsub double %x, 2.000000e+00
+	%calltmp6 = call double @fib(double %subtmp5)
+	%addtmp = fadd double %calltmp, %calltmp6
+	ret double %addtmp
+
+ifcont:
+	ret double 1.000000e+00
+}
+
+
+ +

Here we see that the simplifycfg pass decided to clone the return instruction +into the end of the 'else' block. This allowed it to eliminate some branches +and the PHI node.

+ +

Now that all symbol table references are updated to use stack variables, +we'll add the assignment operator.

+ +
+ + + + + +
+ +

With our current framework, adding a new assignment operator is really +simple. We will parse it just like any other binary operator, but handle it +internally (instead of allowing the user to define it). The first step is to +set a precedence:

+ +
+
+def main():
+  ...
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  g_binop_precedence['='] = 2
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+
+
+ +

Now that the parser knows the precedence of the binary operator, it takes +care of all the parsing and AST generation. We just need to implement codegen +for the assignment operator. This looks like:

+ +
+
+class BinaryOperatorExpressionNode(ExpressionNode):
+  ...
+  def CodeGen(self):
+    # A special case for '=' because we don't want to emit the LHS as an
+    # expression.
+    if self.operator == '=':
+      # Assignment requires the LHS to be an identifier.
+      if not isinstance(self.left, VariableExpressionNode):
+        raise RuntimeError('Destination of "=" must be a variable.')
+
+
+ +

Unlike the rest of the binary operators, our assignment operator doesn't +follow the "emit LHS, emit RHS, do computation" model. As such, it is handled +as a special case before the other binary operators are handled. The other +strange thing is that it requires the LHS to be a variable. It is invalid to +have "(x+1) = expr" - only things like "x = expr" are allowed. +

+ +
+
+      # Codegen the RHS.
+      value = self.right.CodeGen()
+
+      # Look up the name.
+      variable = g_named_values[self.left.name]
+
+      # Store the value and return it.
+      g_llvm_builder.store(value, variable)
+
+      return value
+    ...
+
+
+ +

Once we have the variable, CodeGening the assignment is straightforward: +we emit the RHS of the assignment, create a store, and return the computed +value. Returning a value allows for chained assignments like "X = (Y = Z)".

+ +

Now that we have an assignment operator, we can mutate loop variables and +arguments. For example, we can now run code like this:

+ +
+
+# Function to print a double.
+extern printd(x)
+
+# Define ':' for sequencing: as a low-precedence operator that ignores operands
+# and just returns the RHS.
+def binary : 1 (x y) y
+
+def test(x)
+  printd(x) :
+  x = 4 :
+  printd(x)
+
+test(123)
+
+
+ +

When run, this example prints "123" and then "4", showing that we did +actually mutate the value! Okay, we have now officially implemented our goal: +getting this to work requires SSA construction in the general case. However, +to be really useful, we want the ability to define our own local variables. +Let's add this next! +

+ +
+ + + + + +
+ +

Adding var/in is just like any other other extensions we made to +Kaleidoscope: we extend the lexer, the parser, the AST and the code generator. +The first step for adding our new 'var/in' construct is to extend the lexer. +As before, this is pretty trivial, the code looks like this:

+ +
+
+...
+class UnaryToken(object): pass
+class VarToken(object): pass
+...
+def Tokenize(string):
+   ...
+      elif identifier == 'unary':
+        yield UnaryToken()
+      elif identifier == 'var':
+        yield VarToken()
+      else:
+        yield IdentifierToken(identifier)
+
+
+ +

The next step is to define the AST node that we will construct. For var/in, +it looks like this:

+ +
+
+# Expression class for var/in.
+class VarExpressionNode(ExpressionNode):
+
+  def __init__(self, variables, body):
+    self.variables = variables
+    self.body = body
+
+  def CodeGen(self):
+    ...
+
+
+ +

var/in allows a list of names to be defined all at once, and each name can +optionally have an initializer value. As such, we capture this information in +the variables list. Also, var/in has a body, this body is allowed to access +the variables defined by the var/in.

+ +

With this in place, we can define the parser pieces. The first thing we do +is add it as a primary expression:

+ +
+
+  # primary ::=
+  #   dentifierexpr | numberexpr | parenexpr | ifexpr | forexpr | varexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif isinstance(self.current, VarToken):
+      return self.ParseVarExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+
+ +

Next we define ParseVarExpr:

+ +
+
+  # varexpr ::= 'var' (identifier ('=' expression)?)+ 'in' expression
+  def ParseVarExpr(self):
+    self.Next()  # eat 'var'.
+
+    variables = {}
+
+    # At least one variable name is required.
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after "var".')
+
+
+ +

The first part of this code parses the list of identifier/expr pairs into the +local variables list. + +

+
+    while True:
+      var_name = self.current.name
+      self.Next()  # eat the identifier.
+
+      # Read the optional initializer.
+      if self.current == CharacterToken('='):
+        self.Next()  # eat '='.
+        variables[var_name] = self.ParseExpression()
+      else:
+        variables[var_name] = None
+
+      # End of var list, exit loop.
+      if self.current != CharacterToken(','):
+        break
+      self.Next()  # eat ','.
+
+      if not isinstance(self.current, IdentifierToken):
+        raise RuntimeError('Expected identifier after "," in a var expression.')
+
+
+ +

Once all the variables are parsed, we then parse the body and create the +AST node:

+ +
+
+    # At this point, we have to have 'in'.
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" keyword after "var".')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return VarExpressionNode(variables, body)
+
+
+ +

Now that we can parse and represent the code, we need to support emission of +LLVM IR for it. This code starts out with:

+ +
+
+class VarExpressionNode(ExpressionNode):
+  ...
+  def CodeGen(self):
+    old_bindings = {}
+    function = g_llvm_builder.basic_block.function
+
+    # Register all variables and emit their initializer.
+    for var_name, var_expression in self.variables.iteritems():
+      # Emit the initializer before adding the variable to scope, this prevents
+      # the initializer from referencing the variable itself, and permits stuff
+      # like this:
+      #  var a = 1 in
+      #    var a = a in ...   # refers to outer 'a'.
+      if var_expression is not None:
+        var_value = var_expression.CodeGen()
+      else:
+        var_value = Constant.real(Type.double(), 0)
+
+      alloca = CreateEntryBlockAlloca(function, var_name)
+      g_llvm_builder.store(var_value, alloca)
+
+      # Remember the old variable binding so that we can restore the binding
+      # when we unrecurse.
+      old_bindings[var_name] = g_named_values.get(var_name, None)
+
+      # Remember this binding.
+      g_named_values[var_name] = alloca
+
+
+ +

Basically it loops over all the variables, installing them one at a time. +For each variable we put into the symbol table, we remember the previous value +that we replace in old_bindings.

+ +

There are more comments here than code. The basic idea is that we emit the +initializer, create the alloca, then update the symbol table to point to it. +Once all the variables are installed in the symbol table, we evaluate the body +of the var/in expression:

+ +
+
+    # Codegen the body, now that all vars are in scope.
+    body = self.body.CodeGen()
+
+
+ +

Finally, before returning, we restore the previous variable bindings:

+ +
+
+    # Pop all our variables from scope.
+    for var_name in self.variables:
+      if old_bindings[var_name] is not None:
+        g_named_values[var_name] = old_bindings[var_name]
+      else:
+        del g_named_values[var_name]
+
+    # Return the body computation.
+    return body
+
+
+ +

The end result of all of this is that we get properly scoped variable +definitions, and we even (trivially) allow mutation of them :).

+ +

With this, we completed what we set out to do. Our nice iterative fib +example from the intro compiles and runs just fine. The mem2reg pass optimizes +all of our stack variables into SSA registers, inserting PHI nodes where needed, +and our front-end remains simple: no "iterated dominance frontier" computation +anywhere in sight.

+ +
+ + + + + +
+ +

+Here is the complete code listing for our running example, enhanced with mutable +variables and var/in support:

+ +
+
+#!/usr/bin/env python
+
+import re
+from llvm.core import Module, Constant, Type, Function, Builder
+from llvm.ee import ExecutionEngine, TargetData
+from llvm.passes import FunctionPassManager
+
+from llvm.core import FCMP_ULT, FCMP_ONE
+from llvm.passes import (PASS_PROMOTE_MEMORY_TO_REGISTER,
+                         PASS_INSTRUCTION_COMBINING,
+                         PASS_REASSOCIATE,
+                         PASS_GVN,
+                         PASS_CFG_SIMPLIFICATION)
+
+################################################################################
+## Globals
+################################################################################
+
+# The LLVM module, which holds all the IR code.
+g_llvm_module = Module.new('my cool jit')
+
+# The LLVM instruction builder. Created whenever a new function is entered.
+g_llvm_builder = None
+
+# A dictionary that keeps track of which values are defined in the current scope
+# and what their LLVM representation is.
+g_named_values = {}
+
+# The function optimization passes manager.
+g_llvm_pass_manager = FunctionPassManager.new(g_llvm_module)
+
+# The LLVM execution engine.
+g_llvm_executor = ExecutionEngine.new(g_llvm_module)
+
+# The binary operator precedence chart.
+g_binop_precedence = {}
+
+# Creates an alloca instruction in the entry block of the function. This is used
+# for mutable variables.
+def CreateEntryBlockAlloca(function, var_name):
+  entry = function.get_entry_basic_block()
+  builder = Builder.new(entry)
+  builder.position_at_beginning(entry)
+  return builder.alloca(Type.double(), var_name)
+
+################################################################################
+## Lexer
+################################################################################
+
+# The lexer yields one of these types for each token.
+class EOFToken(object): pass
+class DefToken(object): pass
+class ExternToken(object): pass
+class IfToken(object): pass
+class ThenToken(object): pass
+class ElseToken(object): pass
+class ForToken(object): pass
+class InToken(object): pass
+class BinaryToken(object): pass
+class UnaryToken(object): pass
+class VarToken(object): pass
+
+class IdentifierToken(object):
+  def __init__(self, name): self.name = name
+
+class NumberToken(object):
+  def __init__(self, value): self.value = value
+
+class CharacterToken(object):
+  def __init__(self, char): self.char = char
+  def __eq__(self, other):
+    return isinstance(other, CharacterToken) and self.char == other.char
+  def __ne__(self, other): return not self == other
+
+# Regular expressions that tokens and comments of our language.
+REGEX_NUMBER = re.compile('[0-9]+(?:\.[0-9]+)?')
+REGEX_IDENTIFIER = re.compile('[a-zA-Z][a-zA-Z0-9]*')
+REGEX_COMMENT = re.compile('#.*')
+
+def Tokenize(string):
+  while string:
+    # Skip whitespace.
+    if string[0].isspace():
+      string = string[1:]
+      continue
+
+    # Run regexes.
+    comment_match = REGEX_COMMENT.match(string)
+    number_match = REGEX_NUMBER.match(string)
+    identifier_match = REGEX_IDENTIFIER.match(string)
+
+    # Check if any of the regexes matched and yield the appropriate result.
+    if comment_match:
+      comment = comment_match.group(0)
+      string = string[len(comment):]
+    elif number_match:
+      number = number_match.group(0)
+      yield NumberToken(float(number))
+      string = string[len(number):]
+    elif identifier_match:
+      identifier = identifier_match.group(0)
+      # Check if we matched a keyword.
+      if identifier == 'def':
+        yield DefToken()
+      elif identifier == 'extern':
+        yield ExternToken()
+      elif identifier == 'if':
+        yield IfToken()
+      elif identifier == 'then':
+        yield ThenToken()
+      elif identifier == 'else':
+        yield ElseToken()
+      elif identifier == 'for':
+        yield ForToken()
+      elif identifier == 'in':
+        yield InToken()
+      elif identifier == 'binary':
+        yield BinaryToken()
+      elif identifier == 'unary':
+        yield UnaryToken()
+      elif identifier == 'var':
+        yield VarToken()
+      else:
+        yield IdentifierToken(identifier)
+      string = string[len(identifier):]
+    else:
+      # Yield the ASCII value of the unknown character.
+      yield CharacterToken(string[0])
+      string = string[1:]
+
+  yield EOFToken()
+
+################################################################################
+## Abstract Syntax Tree (aka Parse Tree)
+################################################################################
+
+# Base class for all expression nodes.
+class ExpressionNode(object):
+  pass
+
+# Expression class for numeric literals like "1.0".
+class NumberExpressionNode(ExpressionNode):
+
+  def __init__(self, value):
+    self.value = value
+
+  def CodeGen(self):
+    return Constant.real(Type.double(), self.value)
+
+# Expression class for referencing a variable, like "a".
+class VariableExpressionNode(ExpressionNode):
+
+  def __init__(self, name):
+    self.name = name
+
+  def CodeGen(self):
+    if self.name in g_named_values:
+      return g_llvm_builder.load(g_named_values[self.name], self.name)
+    else:
+      raise RuntimeError('Unknown variable name: ' + self.name)
+
+# Expression class for a binary operator.
+class BinaryOperatorExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, left, right):
+    self.operator = operator
+    self.left = left
+    self.right = right
+
+  def CodeGen(self):
+    # A special case for '=' because we don't want to emit the LHS as an
+    # expression.
+    if self.operator == '=':
+      # Assignment requires the LHS to be an identifier.
+      if not isinstance(self.left, VariableExpressionNode):
+        raise RuntimeError('Destination of "=" must be a variable.')
+
+      # Codegen the RHS.
+      value = self.right.CodeGen()
+
+      # Look up the name.
+      variable = g_named_values[self.left.name]
+
+      # Store the value and return it.
+      g_llvm_builder.store(value, variable)
+
+      return value
+
+    left = self.left.CodeGen()
+    right = self.right.CodeGen()
+
+    if self.operator == '+':
+      return g_llvm_builder.fadd(left, right, 'addtmp')
+    elif self.operator == '-':
+      return g_llvm_builder.fsub(left, right, 'subtmp')
+    elif self.operator == '*':
+      return g_llvm_builder.fmul(left, right, 'multmp')
+    elif self.operator == '<':
+      result = g_llvm_builder.fcmp(FCMP_ULT, left, right, 'cmptmp')
+      # Convert bool 0 or 1 to double 0.0 or 1.0.
+      return g_llvm_builder.uitofp(result, Type.double(), 'booltmp')
+    else:
+      function = g_llvm_module.get_function_named('binary' + self.operator)
+      return g_llvm_builder.call(function, [left, right], 'binop')
+
+# Expression class for function calls.
+class CallExpressionNode(ExpressionNode):
+
+  def __init__(self, callee, args):
+    self.callee = callee
+    self.args = args
+
+  def CodeGen(self):
+    # Look up the name in the global module table.
+    callee = g_llvm_module.get_function_named(self.callee)
+
+    # Check for argument mismatch error.
+    if len(callee.args) != len(self.args):
+      raise RuntimeError('Incorrect number of arguments passed.')
+
+    arg_values = [i.CodeGen() for i in self.args]
+
+    return g_llvm_builder.call(callee, arg_values, 'calltmp')
+
+# Expression class for if/then/else.
+class IfExpressionNode(ExpressionNode):
+
+  def __init__(self, condition, then_branch, else_branch):
+    self.condition = condition
+    self.then_branch = then_branch
+    self.else_branch = else_branch
+
+  def CodeGen(self):
+    condition = self.condition.CodeGen()
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, condition, Constant.real(Type.double(), 0), 'ifcond')
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create blocks for the then and else cases. Insert the 'then' block at the
+    # end of the function.
+    then_block = function.append_basic_block('then')
+    else_block = function.append_basic_block('else')
+    merge_block = function.append_basic_block('ifcond')
+
+    g_llvm_builder.cbranch(condition_bool, then_block, else_block)
+
+    # Emit then value.
+    g_llvm_builder.position_at_end(then_block)
+    then_value = self.then_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Then' can change the current block; update then_block for the
+    # PHI node.
+    then_block = g_llvm_builder.basic_block
+
+    # Emit else block.
+    g_llvm_builder.position_at_end(else_block)
+    else_value = self.else_branch.CodeGen()
+    g_llvm_builder.branch(merge_block)
+
+    # Codegen of 'Else' can change the current block, update else_block for the
+    # PHI node.
+    else_block = g_llvm_builder.basic_block
+
+    # Emit merge block.
+    g_llvm_builder.position_at_end(merge_block)
+    phi = g_llvm_builder.phi(Type.double(), 'iftmp')
+    phi.add_incoming(then_value, then_block)
+    phi.add_incoming(else_value, else_block)
+
+    return phi
+
+# Expression class for for/in.
+class ForExpressionNode(ExpressionNode):
+
+  def __init__(self, loop_variable, start, end, step, body):
+    self.loop_variable = loop_variable
+    self.start = start
+    self.end = end
+    self.step = step
+    self.body = body
+
+  def CodeGen(self):
+    # Output this as:
+    #   var = alloca double
+    #   ...
+    #   start = startexpr
+    #   store start -> var
+    #   goto loop
+    # loop:
+    #   ...
+    #   bodyexpr
+    #   ...
+    # loopend:
+    #   step = stepexpr
+    #   endcond = endexpr
+    #
+    #   curvar = load var
+    #   nextvar = curvar + step
+    #   store nextvar -> var
+    #   br endcond, loop, endloop
+    # outloop:
+
+    function = g_llvm_builder.basic_block.function
+
+    # Create an alloca for the variable in the entry block.
+    alloca = CreateEntryBlockAlloca(function, self.loop_variable)
+
+    # Emit the start code first, without 'variable' in scope.
+    start_value = self.start.CodeGen()
+
+    # Store the value into the alloca.
+    g_llvm_builder.store(start_value, alloca)
+
+    # Make the new basic block for the loop, inserting after current block.
+    loop_block = function.append_basic_block('loop')
+
+    # Insert an explicit fall through from the current block to the loop_block.
+    g_llvm_builder.branch(loop_block)
+
+    # Start insertion in loop_block.
+    g_llvm_builder.position_at_end(loop_block)
+
+    # Within the loop, the variable is defined equal to the alloca.  If it
+    # shadows an existing variable, we have to restore it, so save it now.
+    old_value = g_named_values.get(self.loop_variable, None)
+    g_named_values[self.loop_variable] = alloca
+
+    # Emit the body of the loop.  This, like any other expr, can change the
+    # current BB.  Note that we ignore the value computed by the body.
+    self.body.CodeGen()
+
+    # Emit the step value.
+    if self.step:
+      step_value = self.step.CodeGen()
+    else:
+      # If not specified, use 1.0.
+      step_value = Constant.real(Type.double(), 1)
+
+    # Compute the end condition.
+    end_condition = self.end.CodeGen()
+
+    # Reload, increment, and restore the alloca.  This handles the case where
+    # the body of the loop mutates the variable.
+    cur_value = g_llvm_builder.load(alloca, self.loop_variable)
+    next_value = g_llvm_builder.fadd(cur_value, step_value, 'nextvar')
+    g_llvm_builder.store(next_value, alloca)
+
+    # Convert condition to a bool by comparing equal to 0.0.
+    end_condition_bool = g_llvm_builder.fcmp(
+        FCMP_ONE, end_condition, Constant.real(Type.double(), 0), 'loopcond')
+
+    # Create the "after loop" block and insert it.
+    after_block = function.append_basic_block('afterloop')
+
+    # Insert the conditional branch into the end of loop_block.
+    g_llvm_builder.cbranch(end_condition_bool, loop_block, after_block)
+
+    # Any new code will be inserted in after_block.
+    g_llvm_builder.position_at_end(after_block)
+
+    # Restore the unshadowed variable.
+    if old_value is not None:
+      g_named_values[self.loop_variable] = old_value
+    else:
+      del g_named_values[self.loop_variable]
+
+    # for expr always returns 0.0.
+    return Constant.real(Type.double(), 0)
+
+# Expression class for a unary operator.
+class UnaryExpressionNode(ExpressionNode):
+
+  def __init__(self, operator, operand):
+    self.operator = operator
+    self.operand = operand
+
+  def CodeGen(self):
+    operand = self.operand.CodeGen()
+    function = g_llvm_module.get_function_named('unary' + self.operator)
+    return g_llvm_builder.call(function, [operand], 'unop')
+
+# Expression class for var/in.
+class VarExpressionNode(ExpressionNode):
+
+  def __init__(self, variables, body):
+    self.variables = variables
+    self.body = body
+
+  def CodeGen(self):
+    old_bindings = {}
+    function = g_llvm_builder.basic_block.function
+
+    # Register all variables and emit their initializer.
+    for var_name, var_expression in self.variables.iteritems():
+      # Emit the initializer before adding the variable to scope, this prevents
+      # the initializer from referencing the variable itself, and permits stuff
+      # like this:
+      #  var a = 1 in
+      #    var a = a in ...   # refers to outer 'a'.
+      if var_expression is not None:
+        var_value = var_expression.CodeGen()
+      else:
+        var_value = Constant.real(Type.double(), 0)
+
+      alloca = CreateEntryBlockAlloca(function, var_name)
+      g_llvm_builder.store(var_value, alloca)
+
+      # Remember the old variable binding so that we can restore the binding
+      # when we unrecurse.
+      old_bindings[var_name] = g_named_values.get(var_name, None)
+
+      # Remember this binding.
+      g_named_values[var_name] = alloca
+
+    # Codegen the body, now that all vars are in scope.
+    body = self.body.CodeGen()
+
+    # Pop all our variables from scope.
+    for var_name in self.variables:
+      if old_bindings[var_name] is not None:
+        g_named_values[var_name] = old_bindings[var_name]
+      else:
+        del g_named_values[var_name]
+
+    # Return the body computation.
+    return body
+
+# This class represents the "prototype" for a function, which captures its name,
+# and its argument names (thus implicitly the number of arguments the function
+# takes), as well as if it is an operator.
+class PrototypeNode(object):
+
+  def __init__(self, name, args, is_operator=False, precedence=0):
+    self.name = name
+    self.args = args
+    self.is_operator = is_operator
+    self.precedence = precedence
+
+  def IsBinaryOp(self):
+    return self.is_operator and len(self.args) == 2
+
+  def GetOperatorName(self):
+    assert self.is_operator
+    return self.name[-1]
+
+  def CodeGen(self):
+    # Make the function type, eg. double(double,double).
+    funct_type = Type.function(
+      Type.double(), [Type.double()] * len(self.args), False)
+
+    function = Function.new(g_llvm_module, funct_type, self.name)
+
+    # If the name conflicted, there was already something with the same name.
+    # If it has a body, don't allow redefinition or reextern.
+    if function.name != self.name:
+      function.delete()
+      function = g_llvm_module.get_function_named(self.name)
+
+      # If the function already has a body, reject this.
+      if not function.is_declaration:
+        raise RuntimeError('Redefinition of function.')
+
+      # If the function took a different number of args, reject.
+      if len(function.args) != len(self.args):
+        raise RuntimeError('Redeclaration of a function with different number '
+                           'of args.')
+
+    # Set names for all arguments and add them to the variables symbol table.
+    for arg, arg_name in zip(function.args, self.args):
+      arg.name = arg_name
+
+    return function
+
+  # Create an alloca for each argument and register the argument in the symbol
+  # table so that references to it will succeed.
+  def CreateArgumentAllocas(self, function):
+    for arg_name, arg in zip(self.args, function.args):
+      alloca = CreateEntryBlockAlloca(function, arg_name)
+      g_llvm_builder.store(arg, alloca)
+      g_named_values[arg_name] =  alloca
+
+# This class represents a function definition itself.
+class FunctionNode(object):
+
+  def __init__(self, prototype, body):
+    self.prototype = prototype
+    self.body = body
+
+  def CodeGen(self):
+    # Clear scope.
+    g_named_values.clear()
+
+    # Create a function object.
+    function = self.prototype.CodeGen()
+
+    # If this is a binary operator, install its precedence.
+    if self.prototype.IsBinaryOp():
+      operator = self.prototype.GetOperatorName()
+      g_binop_precedence[operator] = self.prototype.precedence
+
+    # Create a new basic block to start insertion into.
+    block = function.append_basic_block('entry')
+    global g_llvm_builder
+    g_llvm_builder = Builder.new(block)
+
+    # Add all arguments to the symbol table and create their allocas.
+    self.prototype.CreateArgumentAllocas(function)
+
+    # Finish off the function.
+    try:
+      return_value = self.body.CodeGen()
+      g_llvm_builder.ret(return_value)
+
+      # Validate the generated code, checking for consistency.
+      function.verify()
+
+      # Optimize the function.
+      g_llvm_pass_manager.run(function)
+    except:
+      function.delete()
+      if self.prototype.IsBinaryOp():
+        del g_binop_precedence[self.prototype.GetOperatorName()]
+      raise
+
+    return function
+
+
+################################################################################
+## Parser
+################################################################################
+
+class Parser(object):
+
+  def __init__(self, tokens):
+    self.tokens = tokens
+    self.Next()
+
+  # Provide a simple token buffer. Parser.current is the current token the
+  # parser is looking at. Parser.Next() reads another token from the lexer and
+  # updates Parser.current with its results.
+  def Next(self):
+    self.current = self.tokens.next()
+
+  # Gets the precedence of the current token, or -1 if the token is not a binary
+  # operator.
+  def GetCurrentTokenPrecedence(self):
+    if isinstance(self.current, CharacterToken):
+      return g_binop_precedence.get(self.current.char, -1)
+    else:
+      return -1
+
+  # identifierexpr ::= identifier | identifier '(' expression* ')'
+  def ParseIdentifierExpr(self):
+    identifier_name = self.current.name
+    self.Next()  # eat identifier.
+
+    if self.current != CharacterToken('('):  # Simple variable reference.
+      return VariableExpressionNode(identifier_name)
+
+    # Call.
+    self.Next()  # eat '('.
+    args = []
+    if self.current != CharacterToken(')'):
+      while True:
+        args.append(self.ParseExpression())
+        if self.current == CharacterToken(')'):
+          break
+        elif self.current != CharacterToken(','):
+          raise RuntimeError('Expected ")" or "," in argument list.')
+        self.Next()
+
+    self.Next()  # eat ')'.
+    return CallExpressionNode(identifier_name, args)
+
+  # numberexpr ::= number
+  def ParseNumberExpr(self):
+    result = NumberExpressionNode(self.current.value)
+    self.Next()  # consume the number.
+    return result
+
+  # parenexpr ::= '(' expression ')'
+  def ParseParenExpr(self):
+    self.Next()  # eat '('.
+
+    contents = self.ParseExpression()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")".')
+    self.Next()  # eat ')'.
+
+    return contents
+
+  # ifexpr ::= 'if' expression 'then' expression 'else' expression
+  def ParseIfExpr(self):
+    self.Next()  # eat the if.
+
+    # condition.
+    condition = self.ParseExpression()
+
+    if not isinstance(self.current, ThenToken):
+      raise RuntimeError('Expected "then".')
+    self.Next()  # eat the then.
+
+    then_branch = self.ParseExpression()
+
+    if not isinstance(self.current, ElseToken):
+      raise RuntimeError('Expected "else".')
+    self.Next()  # eat the else.
+
+    else_branch = self.ParseExpression()
+
+    return IfExpressionNode(condition, then_branch, else_branch)
+
+  # forexpr ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression
+  def ParseForExpr(self):
+    self.Next()  # eat the for.
+
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after for.')
+
+    loop_variable = self.current.name
+    self.Next()  # eat the identifier.
+
+    if self.current != CharacterToken('='):
+      raise RuntimeError('Expected "=" after for variable.')
+    self.Next()  # eat the '='.
+
+    start = self.ParseExpression()
+
+    if self.current != CharacterToken(','):
+      raise RuntimeError('Expected "," after for start value.')
+    self.Next()  # eat the ','.
+
+    end = self.ParseExpression()
+
+    # The step value is optional.
+    if self.current == CharacterToken(','):
+      self.Next()  # eat the ','.
+      step = self.ParseExpression()
+    else:
+      step = None
+
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" after for variable specification.')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return ForExpressionNode(loop_variable, start, end, step, body)
+
+  # varexpr ::= 'var' (identifier ('=' expression)?)+ 'in' expression
+  def ParseVarExpr(self):
+    self.Next()  # eat 'var'.
+
+    variables = {}
+
+    # At least one variable name is required.
+    if not isinstance(self.current, IdentifierToken):
+      raise RuntimeError('Expected identifier after "var".')
+
+    while True:
+      var_name = self.current.name
+      self.Next()  # eat the identifier.
+
+      # Read the optional initializer.
+      if self.current == CharacterToken('='):
+        self.Next()  # eat '='.
+        variables[var_name] = self.ParseExpression()
+      else:
+        variables[var_name] = None
+
+      # End of var list, exit loop.
+      if self.current != CharacterToken(','):
+        break
+      self.Next()  # eat ','.
+
+      if not isinstance(self.current, IdentifierToken):
+        raise RuntimeError('Expected identifier after "," in a var expression.')
+
+    # At this point, we have to have 'in'.
+    if not isinstance(self.current, InToken):
+      raise RuntimeError('Expected "in" keyword after "var".')
+    self.Next()  # eat 'in'.
+
+    body = self.ParseExpression()
+
+    return VarExpressionNode(variables, body)
+
+  # primary ::=
+  #   dentifierexpr | numberexpr | parenexpr | ifexpr | forexpr | varexpr
+  def ParsePrimary(self):
+    if isinstance(self.current, IdentifierToken):
+      return self.ParseIdentifierExpr()
+    elif isinstance(self.current, NumberToken):
+      return self.ParseNumberExpr()
+    elif isinstance(self.current, IfToken):
+      return self.ParseIfExpr()
+    elif isinstance(self.current, ForToken):
+      return self.ParseForExpr()
+    elif isinstance(self.current, VarToken):
+      return self.ParseVarExpr()
+    elif self.current == CharacterToken('('):
+      return self.ParseParenExpr()
+    else:
+      raise RuntimeError('Unknown token when expecting an expression.')
+
+  # unary ::= primary | unary_operator unary
+  def ParseUnary(self):
+    # If the current token is not an operator, it must be a primary expression.
+    if (not isinstance(self.current, CharacterToken) or
+        self.current in [CharacterToken('('), CharacterToken(',')]):
+      return self.ParsePrimary()
+
+    # If this is a unary operator, read it.
+    operator = self.current.char
+    self.Next()  # eat the operator.
+    return UnaryExpressionNode(operator, self.ParseUnary())
+
+  # binoprhs ::= (binary_operator unary)*
+  def ParseBinOpRHS(self, left, left_precedence):
+    # If this is a binary operator, find its precedence.
+    while True:
+      precedence = self.GetCurrentTokenPrecedence()
+
+      # If this is a binary operator that binds at least as tightly as the
+      # current one, consume it; otherwise we are done.
+      if precedence < left_precedence:
+        return left
+
+      binary_operator = self.current.char
+      self.Next()  # eat the operator.
+
+      # Parse the unary expression after the binary operator.
+      right = self.ParseUnary()
+
+      # If binary_operator binds less tightly with right than the operator after
+      # right, let the pending operator take right as its left.
+      next_precedence = self.GetCurrentTokenPrecedence()
+      if precedence < next_precedence:
+        right = self.ParseBinOpRHS(right, precedence + 1)
+
+      # Merge left/right.
+      left = BinaryOperatorExpressionNode(binary_operator, left, right)
+
+  # expression ::= unary binoprhs
+  def ParseExpression(self):
+    left = self.ParseUnary()
+    return self.ParseBinOpRHS(left, 0)
+
+  # prototype
+  #   ::= id '(' id* ')'
+  #   ::= binary LETTER number? (id, id)
+  #   ::= unary LETTER (id)
+  def ParsePrototype(self):
+    precedence = None
+    if isinstance(self.current, IdentifierToken):
+      kind = 'normal'
+      function_name = self.current.name
+      self.Next()  # eat function name.
+    elif isinstance(self.current, UnaryToken):
+      kind = 'unary'
+      self.Next()  # eat 'unary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "unary".')
+      function_name = 'unary' + self.current.char
+      self.Next()  # eat the operator.
+    elif isinstance(self.current, BinaryToken):
+      kind = 'binary'
+      self.Next()  # eat 'binary'.
+      if not isinstance(self.current, CharacterToken):
+        raise RuntimeError('Expected an operator after "binary".')
+      function_name = 'binary' + self.current.char
+      self.Next()  # eat the operator.
+      if isinstance(self.current, NumberToken):
+        if not 1 <= self.current.value <= 100:
+          raise RuntimeError('Invalid precedence: must be in range [1, 100].')
+        precedence = self.current.value
+        self.Next()  # eat the precedence.
+    else:
+      raise RuntimeError('Expected function name, "unary" or "binary" in '
+                         'prototype.')
+
+    if self.current != CharacterToken('('):
+      raise RuntimeError('Expected "(" in prototype.')
+    self.Next()  # eat '('.
+
+    arg_names = []
+    while isinstance(self.current, IdentifierToken):
+      arg_names.append(self.current.name)
+      self.Next()
+
+    if self.current != CharacterToken(')'):
+      raise RuntimeError('Expected ")" in prototype.')
+
+    # Success.
+    self.Next()  # eat ')'.
+
+    if kind == 'unary' and len(arg_names) != 1:
+      raise RuntimeError('Invalid number of arguments for a unary operator.')
+    elif kind == 'binary' and len(arg_names) != 2:
+      raise RuntimeError('Invalid number of arguments for a binary operator.')
+
+    return PrototypeNode(function_name, arg_names, kind != 'normal', precedence)
+
+  # definition ::= 'def' prototype expression
+  def ParseDefinition(self):
+    self.Next()  # eat def.
+    proto = self.ParsePrototype()
+    body = self.ParseExpression()
+    return FunctionNode(proto, body)
+
+  # toplevelexpr ::= expression
+  def ParseTopLevelExpr(self):
+    proto = PrototypeNode('', [])
+    return FunctionNode(proto, self.ParseExpression())
+
+  # external ::= 'extern' prototype
+  def ParseExtern(self):
+    self.Next()  # eat extern.
+    return self.ParsePrototype()
+
+  # Top-Level parsing
+  def HandleDefinition(self):
+    self.Handle(self.ParseDefinition, 'Read a function definition:')
+
+  def HandleExtern(self):
+    self.Handle(self.ParseExtern, 'Read an extern:')
+
+  def HandleTopLevelExpression(self):
+    try:
+      function = self.ParseTopLevelExpr().CodeGen()
+      result = g_llvm_executor.run_function(function, [])
+      print 'Evaluated to:', result.as_real(Type.double())
+    except Exception, e:
+      raise#print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+  def Handle(self, function, message):
+    try:
+      print message, function().CodeGen()
+    except Exception, e:
+      raise#print 'Error:', e
+      try:
+        self.Next() # Skip for error recovery.
+      except:
+        pass
+
+################################################################################
+## Main driver code.
+################################################################################
+
+def main():
+  # Set up the optimizer pipeline. Start with registering info about how the
+  # target lays out data structures.
+  g_llvm_pass_manager.add(g_llvm_executor.target_data)
+  # Promote allocas to registers.
+  g_llvm_pass_manager.add(PASS_PROMOTE_MEMORY_TO_REGISTER)
+  # Do simple "peephole" optimizations and bit-twiddling optzns.
+  g_llvm_pass_manager.add(PASS_INSTRUCTION_COMBINING)
+  # Reassociate expressions.
+  g_llvm_pass_manager.add(PASS_REASSOCIATE)
+  # Eliminate Common SubExpressions.
+  g_llvm_pass_manager.add(PASS_GVN)
+  # Simplify the control flow graph (deleting unreachable blocks, etc).
+  g_llvm_pass_manager.add(PASS_CFG_SIMPLIFICATION)
+
+  g_llvm_pass_manager.initialize()
+
+  # Install standard binary operators.
+  # 1 is lowest possible precedence. 40 is the highest.
+  g_binop_precedence['='] = 2
+  g_binop_precedence['<'] = 10
+  g_binop_precedence['+'] = 20
+  g_binop_precedence['-'] = 20
+  g_binop_precedence['*'] = 40
+
+  # Run the main "interpreter loop".
+  while True:
+    print 'ready<',
+    try:
+      raw = raw_input()
+    except KeyboardInterrupt:
+      break
+
+    parser = Parser(Tokenize(raw))
+    while True:
+      # top ::= definition | external | expression | EOF
+      if isinstance(parser.current, EOFToken):
+        break
+      if isinstance(parser.current, DefToken):
+        parser.HandleDefinition()
+      elif isinstance(parser.current, ExternToken):
+        parser.HandleExtern()
+      else:
+        parser.HandleTopLevelExpression()
+
+  # Print out all of the generated code.
+  print '\n', g_llvm_module
+
+if __name__ == '__main__':
+  main()
+
+
+ +Next: Conclusion and other useful LLVM +tidbits +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ Max Shawabkeh
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/kaleidoscope/PythonLangImpl8.html b/www/web/kaleidoscope/PythonLangImpl8.html new file mode 100644 index 0000000..6f65b70 --- /dev/null +++ b/www/web/kaleidoscope/PythonLangImpl8.html @@ -0,0 +1,375 @@ + + + + + Kaleidoscope: Conclusion and other useful LLVM tidbits + + + + + + + +
Kaleidoscope: Conclusion and other useful LLVM + tidbits
+ + + + +
+

Written by Chris Lattner

+
+ + + + + +
+ +

Welcome to the the final chapter of the +"Implementing a language +with LLVM" tutorial. In the course of this tutorial, we have grown +our little Kaleidoscope language from being a useless toy, to being a +semi-interesting (but probably still useless) toy. :)

+ +

It is interesting to see how far we've come, and how little code it has +taken. We built the entire lexer, parser, AST, code generator, and an +interactive run-loop (with a JIT!) by-hand in under 540 lines of +(non-comment/non-blank) code.

+ +

Our little language supports a couple of interesting features: it supports +user defined binary and unary operators, it uses JIT compilation for immediate +evaluation, and it supports a few control flow constructs with SSA construction. +

+ +

Part of the idea of this tutorial was to show you how easy and fun it can be +to define, build, and play with languages. Building a compiler need not be a +scary or mystical process! Now that you've seen some of the basics, I strongly +encourage you to take the code and hack on it. For example, try adding:

+ +
    +
  • global variables - While global variables have questional value in +modern software engineering, they are often useful when putting together quick +little hacks like the Kaleidoscope compiler itself. Fortunately, our current +setup makes it very easy to add global variables: just have value lookup check +to see if an unresolved variable is in the global variable symbol table before +rejecting it. To create a new global variable, make an instance of the LLVM +GlobalVariable class.
  • + +
  • typed variables - Kaleidoscope currently only supports variables of +type double. This gives the language a very nice elegance, because only +supporting one type means that you never have to specify types. Different +languages have different ways of handling this. The easiest way is to require +the user to specify types for every variable definition, and record the type +of the variable in the symbol table along with its Value*.
  • + +
  • arrays, structs, vectors, etc - Once you add types, you can start +extending the type system in all sorts of interesting ways. Simple arrays are +very easy and are quite useful for many different applications. Adding them is +mostly an exercise in learning how the LLVM getelementptr +instruction works: it is so nifty/unconventional, it has its own FAQ! If you +add support for recursive types (e.g. linked lists), make sure to read the section in +the LLVM Programmer's Manual that describes how to construct them.
  • + +
  • standard runtime - Our current language allows the user to access +arbitrary external functions, and we use it for things like "putchard". As you +extend the language to add higher-level constructs, often these constructs make +the most sense if they are lowered to calls into a language-supplied runtime. +For example, if you add hash tables to the language, it would probably make +sense to add the routines to a runtime, instead of inlining them all the way. +
  • + +
  • memory management - Currently we can only access the stack in +Kaleidoscope. It would also be useful to be able to allocate heap memory, +either with calls to the standard libc malloc/free interface or with a garbage +collector. If you would like to use garbage collection, note that LLVM fully +supports Accurate +Garbage Collection including algorithms that move objects and need to +scan/update the stack.
  • + +
  • debugger support - LLVM supports generation of DWARF Debug info +which is understood by common debuggers like GDB. Adding support for debug info +is fairly straightforward. The best way to understand it is to compile some +C/C++ code with "llvm-gcc -g -O0" and taking a look at what it +produces.
  • + +
  • exception handling support - LLVM supports generation of zero cost exceptions +which interoperate with code compiled in other languages. You could also +generate code by implicitly making every function return an error value and +checking it. You could also make explicit use of setjmp/longjmp. There are +many different ways to go here.
  • + +
  • object orientation, generics, database access, complex numbers, +geometric programming, ... - Really, there is +no end of crazy features that you can add to the language.
  • + +
  • unusual domains - We've been talking about applying LLVM to a domain +that many people are interested in: building a compiler for a specific language. +However, there are many other domains that can use compiler technology that are +not typically considered. For example, LLVM has been used to implement OpenGL +graphics acceleration, translate C++ code to ActionScript, and many other +cute and clever things. Maybe you will be the first to JIT compile a regular +expression interpreter into native code with LLVM?
  • + +
+ +

+Have fun - try doing something crazy and unusual. Building a language like +everyone else always has, is much less fun than trying something a little crazy +or off the wall and seeing how it turns out. If you get stuck or want to talk +about it, feel free to email the llvmdev mailing +list: it has lots of people who are interested in languages and are often +willing to help out. +

+ +

Before we end this tutorial, I want to talk about some "tips and tricks" for +generating LLVM IR. These are some of the more subtle things that may not be +obvious, but are very useful if you want to take advantage of LLVM's +capabilities.

+ +
+ + + + + +
+ +

We have a couple common questions about code in the LLVM IR form - let's just +get these out of the way right now, shall we?

+ +
+ + + + + +
+ +

Kaleidoscope is an example of a "portable language": any program written in +Kaleidoscope will work the same way on any target that it runs on. Many other +languages have this property, e.g. LISP, Java, Haskell, Javascript, Python, etc. +(note that while these languages are portable, not all their libraries are).

+ +

One nice aspect of LLVM is that it is often capable of preserving target +independence in the IR: you can take the LLVM IR for a Kaleidoscope-compiled +program and run it on any target that LLVM supports, even emitting C code and +compiling that on targets that LLVM doesn't support natively. You can trivially +tell that the Kaleidoscope compiler generates target-independent code because it +never queries for any target-specific information when generating code.

+ +

The fact that LLVM provides a compact, target-independent, representation for +code gets a lot of people excited. Unfortunately, these people are usually +thinking about C or a language from the C family when they are asking questions +about language portability. I say "unfortunately", because there is really no +way to make (fully general) C code portable, other than shipping the source code +around (and of course, C source code is not actually portable in general +either - ever port a really old application from 32- to 64-bits?).

+ +

The problem with C (again, in its full generality) is that it is heavily +laden with target specific assumptions. As one simple example, the preprocessor +often destructively removes target-independence from the code when it processes +the input text:

+ +
+
+#ifdef __i386__
+  int X = 1;
+#else
+  int X = 42;
+#endif
+
+
+ +

While it is possible to engineer more and more complex solutions to problems +like this, it cannot be solved in full generality in a way that is better than +shipping the actual source code.

+ +

That said, there are interesting subsets of C that can be made portable. If +you are willing to fix primitive types to a fixed size (say int = 32-bits, +and long = 64-bits), don't care about ABI compatibility with existing binaries, +and are willing to give up some other minor features, you can have portable +code. This can make sense for specialized domains such as an +in-kernel language.

+ +
+ + + + + +
+ +

Many of the languages above are also "safe" languages: it is impossible for +a program written in Java to corrupt its address space and crash the process +(assuming the JVM has no bugs). +Safety is an interesting property that requires a combination of language +design, runtime support, and often operating system support.

+ +

It is certainly possible to implement a safe language in LLVM, but LLVM IR +does not itself guarantee safety. The LLVM IR allows unsafe pointer casts, +use after free bugs, buffer over-runs, and a variety of other problems. Safety +needs to be implemented as a layer on top of LLVM and, conveniently, several +groups have investigated this. Ask on the llvmdev mailing +list if you are interested in more details.

+ +
+ + + + + +
+ +

One thing about LLVM that turns off many people is that it does not solve all +the world's problems in one system (sorry 'world hunger', someone else will have +to solve you some other day). One specific complaint is that people perceive +LLVM as being incapable of performing high-level language-specific optimization: +LLVM "loses too much information".

+ +

Unfortunately, this is really not the place to give you a full and unified +version of "Chris Lattner's theory of compiler design". Instead, I'll make a +few observations:

+ +

First, you're right that LLVM does lose information. For example, as of this +writing, there is no way to distinguish in the LLVM IR whether an SSA-value came +from a C "int" or a C "long" on an ILP32 machine (other than debug info). Both +get compiled down to an 'i32' value and the information about what it came from +is lost. The more general issue here, is that the LLVM type system uses +"structural equivalence" instead of "name equivalence". Another place this +surprises people is if you have two types in a high-level language that have the +same structure (e.g. two different structs that have a single int field): these +types will compile down into a single LLVM type and it will be impossible to +tell what it came from.

+ +

Second, while LLVM does lose information, LLVM is not a fixed target: we +continue to enhance and improve it in many different ways. In addition to +adding new features (LLVM did not always support exceptions or debug info), we +also extend the IR to capture important information for optimization (e.g. +whether an argument is sign or zero extended, information about pointers +aliasing, etc). Many of the enhancements are user-driven: people want LLVM to +include some specific feature, so they go ahead and extend it.

+ +

Third, it is possible and easy to add language-specific +optimizations, and you have a number of choices in how to do it. As one trivial +example, it is easy to add language-specific optimization passes that +"know" things about code compiled for a language. In the case of the C family, +there is an optimization pass that "knows" about the standard C library +functions. If you call "exit(0)" in main(), it knows that it is safe to +optimize that into "return 0;" because C specifies what the 'exit' +function does.

+ +

In addition to simple library knowledge, it is possible to embed a variety of +other language-specific information into the LLVM IR. If you have a specific +need and run into a wall, please bring the topic up on the llvmdev list. At the +very worst, you can always treat LLVM as if it were a "dumb code generator" and +implement the high-level optimizations you desire in your front-end, on the +language-specific AST. +

+ +
+ + + + + +
+ +

There is a variety of useful tips and tricks that you come to know after +working on/with LLVM that aren't obvious at first glance. Instead of letting +everyone rediscover them, this section talks about some of these issues.

+ +
+ + + + + +
+ +

One interesting thing that comes up, if you are trying to keep the code +generated by your compiler "target independent", is that you often need to know +the size of some LLVM type or the offset of some field in an llvm structure. +For example, you might need to pass the size of a type into a function that +allocates memory.

+ +

Unfortunately, this can vary widely across targets: for example the width of +a pointer is trivially target-specific. However, there is a clever +way to use the getelementptr instruction that allows you to compute this +in a portable way.

+ +
+ + + + + +
+ +

Some languages want to explicitly manage their stack frames, often so that +they are garbage collected or to allow easy implementation of closures. There +are often better ways to implement these features than explicit stack frames, +but LLVM +does support them, if you want. It requires your front-end to convert the +code into Continuation +Passing Style and the use of tail calls (which LLVM also supports).

+ +
+ + +
+
+ Valid CSS! + Valid HTML 4.01! + + Chris Lattner
+ The LLVM Compiler Infrastructure
+ Last modified: $Date$ +
+ + diff --git a/www/web/license.html b/www/web/license.html index 18574df..1adf6ca 100644 --- a/www/web/license.html +++ b/www/web/license.html @@ -2,7 +2,7 @@ - + @@ -74,7 +74,7 @@ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
diff --git a/www/web/userguide.html b/www/web/userguide.html index ab6d51c..aa5f568 100644 --- a/www/web/userguide.html +++ b/www/web/userguide.html @@ -2,7 +2,7 @@ - + @@ -48,6 +48,7 @@ you can setup and use it. A working knowledge of Python and a basic idea of LLVM is assumed.

+

Introduction

LLVM (Low-Level Virtual Machine) provides enough @@ -76,6 +77,8 @@ versions.

llvm-py has been built and tested with Python 2.6. It should work with Python 2.4 and 2.5. It has not been tried with Python 3.x (patches welcome).

+
+

Installation

llvm-py is distributed as a source tarball. You’ll need to build and @@ -109,7 +112,8 @@ distro’s respository has the appropriate version of LLVM!

It does not matter which compiler LLVM itself was built with (g, llvm-g or any other); llvm-py can be built with any compiler. It has been tried only with gcc/g++ though.

-

LLVM and --enable-pic

+
+

LLVM and --enable-pic

The result of an LLVM build is a set of static libraries and object files. The llvm-py contains an extension package that is built into a shared object (_core.so) which links to these static libraries and @@ -121,7 +125,9 @@ configuring LLVM (default is no PIC), like this:

~/llvm$ ./configure --enable-pic --enable-optimized
-

llvm-config

+
+
+

llvm-config

Inorder to build llvm-py, it’s build script needs to know from where it can invoke the llvm helper program, llvm-config. If you’ve installed LLVM, then this will be available in your PATH, and nothing further @@ -131,7 +137,9 @@ of llvm-config to the build script.

You’ll need to be root to install llvm-py. Remember that your PATH is different from that of root, so even if llvm-config is in your PATH, it may not be available when you do sudo.

-

Steps

+
+
+

Steps

The commands illustrated below assume that the LLVM source is available under /home/mdevan/llvm. If you’ve a previous version of llvm-py installed, it is recommended to remove it first, as described @@ -167,7 +175,9 @@ only if you need to debug into LLVM also.

documentation regarding Installing Python Modules and Distributing Python Modules for more information on such scripts.

-

Uninstall

+
+
+

Uninstall

If you’d installed llvm-py with the --user option, then llvm-py would be present under ~/.local/lib/python2.6/site-packages. Otherwise, it might be under /usr/lib/python2.6/site-packages @@ -182,11 +192,15 @@ the "egg" can be removed like so:

See the Python documentation for more information.

+ + +

LLVM Concepts

This section explains a few concepts related to LLVM, not specific to llvm-py.

-

Intermediate Representation

+
+

Intermediate Representation

The intermediate representation, or IR for short, is an in-memory data structure that represents executable code. The IR data structures allow for creation of types, constants, functions, function arguments, @@ -242,7 +256,9 @@ level than the usual assembly language; for example there are instructions related to variable argument handling, exception handling, and garbage collection. These allow high-level languages to be represented cleanly in the IR.

-

SSA Form and PHI Nodes

+
+
+

SSA Form and PHI Nodes

All LLVM instructions are represented in the Static Single Assignment (SSA) form. Essentially, this means that any variable can be assigned to only once. Such a representation facilitates better optimization, among @@ -274,7 +290,9 @@ reached the PHI node. The argument a1 of the PHI node is associated with the block "a1 = 1;" and a2 with the block "a2 = 2;".

PHI nodes have to be explicitly created in the LLVM IR. Accordingly the LLVM instruction set has an instruction called phi.

-

LLVM Assembly Language

+
+
+

LLVM Assembly Language

The LLVM IR can be represented offline in two formats - a textual, human-readable form, similar to assembly language, called the LLVM assembly language (files with .ll extension) @@ -337,7 +355,9 @@ specification of the platform ABI (like endianness, sizes of types, alignment etc.).

The LLVM Language Reference defines the LLVM assembly language including the entire instruction set.

-

Modules

+
+
+

Modules

Modules, in the LLVM IR, are similar to a single C language source file (.c file). A module contains:

    @@ -361,7 +381,9 @@ global type aliases (typedef-s) contained within modules. Modules may be combined (linked) together to give a bigger resultant module. During this process LLVM attempts to reconcile the references between the combined modules.

-

Optimization and Passes

+
+
+

Optimization and Passes

LLVM provides quite a few optimization algorithms that work on the IR. These algorithms are organized as passes. Each pass does something specific, like combining redundant instructions. Passes need not always @@ -384,11 +406,18 @@ any stage, and perform any transforms on it as you like.)

correct objects to run them on (for example, a pass may work only on functions, individually) and actually runs them. opt is a command-line wrapper for the pass manager.

-

Bit code

-

TODO

-

Execution Engine, JIT and Interpreter

+
+
+

Bit code

TODO

+
+

Execution Engine, JIT and Interpreter

+

TODO

+
+
+ +

The llvm-py Package

The llvm-py is a Python package, consisting of 6 modules, that wrap @@ -575,7 +604,8 @@ interpreter or the object? of to get online help. (Note: not complete yet!)

-

Module (llvm.core)

+
+

Module (llvm.core)

Modules are top-level container objects. You need to create a module object first, before you can add global variables, aliases or functions. Modules are created using the static method Module.new:

@@ -644,7 +674,7 @@ my_module = Module
llvm.core.Module
-
+
Static Constructors
new(module_id) @@ -857,7 +887,9 @@ string representations.

-

Types (llvm.core)

+
+
+

Types (llvm.core)

Types are what you think they are. A instance of llvm.core.Type, or one of its derived classes, represent a type. llvm-py does not use as many classes to represent types as does LLVM itself. Some types are @@ -977,7 +1009,7 @@ cellspacing="0" cellpadding="4">

The class-level documentation follows:

llvm.core.Type
-
+
Static Constructors
int(n) @@ -1176,7 +1208,7 @@ http://www.gnu.org/software/src-highlite -->
llvm.core.IntegerType
-
+
Base Class
  • @@ -1197,7 +1229,7 @@ http://www.gnu.org/software/src-highlite -->

llvm.core.FunctionType
-
+
Base Class
  • @@ -1254,7 +1286,7 @@ http://www.gnu.org/software/src-highlite -->

llvm.core.StructType
-
+
Base Class
  • @@ -1303,7 +1335,7 @@ http://www.gnu.org/software/src-highlite -->

llvm.core.ArrayType
-
+
Base Class
  • @@ -1332,7 +1364,7 @@ http://www.gnu.org/software/src-highlite -->

llvm.core.PointerType
-
+
Base Class
  • @@ -1361,7 +1393,7 @@ http://www.gnu.org/software/src-highlite -->

llvm.core.VectorType
-
+
Base Class
  • @@ -1430,7 +1462,9 @@ f3 = Type.= [ Type.pointer( Type.int(8) ) ] printf = Type.function( Type.int(), fnargs, True ) # variadic function

-

TypeHandle (llvm.core)

+
+
+

TypeHandle (llvm.core)

TypeHandle objects are used to create recursive types, like this linked list node structure in C:

@@ -1483,7 +1517,7 @@ in C++. The above example is available as in the source distribution.

llvm.core.TypeHandle
-
+
Static Constructors
new(abstract_ty) @@ -1508,7 +1542,9 @@ in the source distribution.

-

Values (llvm.core)

+
+
+

Values (llvm.core)

llvm.core.Value is the base class of all values computed by a program that may be used as operands to other values. A value has a type associated with it (an object of llvm.core.Type).

@@ -1557,7 +1593,7 @@ a few subclasses that represent interesting instructions.

Value objects have a type (read-only), and a name (read-write).

llvm.core.Value
-
+
Properties
name @@ -1624,14 +1660,16 @@ a few subclasses that represent interesting instructions.

-

User (llvm.core)

+
+
+

User (llvm.core)

User-s are values that refer to other values. The values so refered can be retrived by the properties of User. This is the reverse of the Value.uses. Together these can be used to traverse the use-def chains of the SSA.

llvm.core.User
-
+
Base Class
  • @@ -1660,7 +1698,9 @@ chains of the SSA.

-

Constants (llvm.core)

+
+
+

Constants (llvm.core)

Constant-s represents constants that appear within the code. The values of such objects are known at creation time. Constants can be created from Python constants. A constant expression is also a constant — given a Constant object, an operation (like addition, subtraction @@ -2074,7 +2114,7 @@ cellspacing="0" cellpadding="4">

llvm.core.Constant
-
+
Base Class
  • @@ -2086,7 +2126,9 @@ cellspacing="0" cellpadding="4">

    Methods

    See table of operations above for full list. There are no other methods.

-

Other Constant* Classes (llvm.core)

+
+
+

Other Constant* Classes (llvm.core)

The following subclasses of Constant do not provide additional methods, they serve only to provide richer type information.

@@ -2165,7 +2207,9 @@ k2 = Constant.< assert isinstance(k1, ConstantInt) assert isinstance(k2, ConstantArray)
-

Global Value (llvm.core)

+
+
+

Global Value (llvm.core)

The class llvm.core.GlobalValue represents module-scope aliases, variables and functions. Global variables are represented by the sub-class llvm.core.GlobalVariable and functions by llvm.core.Function.

@@ -2290,7 +2334,7 @@ global is a declaration or not. The module to which the global belongs to can be retrieved using the module property (read-only).

llvm.core.GlobalValue
-
+
Base Class
  • @@ -2352,7 +2396,9 @@ to can be retrieved using the module property (read-only).

-

Global Variable (llvm.core)

+
+
+

Global Variable (llvm.core)

Global variables (llvm.core.GlobalVariable) are subclasses of llvm.core.GlobalValue and represent module-level variables. These can have optional initializers and can be marked as constants. Global @@ -2407,7 +2453,7 @@ gv.= None

llvm.core.GlobalVariable
-
+
Base Class
  • @@ -2467,7 +2513,9 @@ gv = None

-

Function (llvm.core)

+
+
+

Function (llvm.core)

Functions are represented by llvm.core.Function objects. They are contained within modules, and can be created either with the method module_obj.add_function or the static constructor Function.new. @@ -2939,7 +2987,7 @@ f.# declare i32 @sum(i32, i32) nounwind readonly

+
+

Argument (llvm.core)

The args property of llvm.core.Function objects yields llvm.core.Argument objects. This allows for setting attributes for functions arguments. Argument objects cannot be constructed from user @@ -3223,19 +3273,34 @@ cellspacing="0" cellpadding="4"> provide more information.

The alignment of any parameter can be set via the alignment property, to any power of 2.

-

Basic Block (llvm.core)

+
+
+

Basic Block (llvm.core)

TODO

-

Builder (llvm.core)

+
+
+

Builder (llvm.core)

TODO

-

Instructions (llvm.core)

+
+
+

Instructions (llvm.core)

TODO

-

Target Data (llvm.ee)

+
+
+

Target Data (llvm.ee)

TODO

-

Execution Engine (llvm.ee)

+
+
+

Execution Engine (llvm.ee)

TODO. For now, see test/example-jit.py.

-

Pass Manager and Passes (llvm.passes)

+
+
+

Pass Manager and Passes (llvm.passes)

TODO. For now, see test/passes.py.

+
+
+

About the llvm-py Project

llvm-py lives at @@ -3259,10 +3324,11 @@ are most welcome. You can checkout the latest SVN HEAD from

Mahadevan R wrote llvm-py and works on it in his spare time. He can be reached at mdevan@mdevan.org.

+