Mercurial > hg > Members > tobaru > cbc > CbC_llvm
annotate docs/tutorial/LangImpl2.rst @ 15:66597e792247
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author | Kaito Tokumori <e105711@ie.u-ryukyu.ac.jp> |
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date | Tue, 17 Sep 2013 21:32:34 +0900 |
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1 =========================================== |
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2 Kaleidoscope: Implementing a Parser and AST |
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3 =========================================== |
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4 |
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5 .. contents:: |
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6 :local: |
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7 |
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8 Chapter 2 Introduction |
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9 ====================== |
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10 |
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11 Welcome to Chapter 2 of the "`Implementing a language with |
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12 LLVM <index.html>`_" tutorial. This chapter shows you how to use the |
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13 lexer, built in `Chapter 1 <LangImpl1.html>`_, to build a full |
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14 `parser <http://en.wikipedia.org/wiki/Parsing>`_ for our Kaleidoscope |
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15 language. Once we have a parser, we'll define and build an `Abstract |
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16 Syntax Tree <http://en.wikipedia.org/wiki/Abstract_syntax_tree>`_ (AST). |
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17 |
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18 The parser we will build uses a combination of `Recursive Descent |
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19 Parsing <http://en.wikipedia.org/wiki/Recursive_descent_parser>`_ and |
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20 `Operator-Precedence |
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21 Parsing <http://en.wikipedia.org/wiki/Operator-precedence_parser>`_ to |
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22 parse the Kaleidoscope language (the latter for binary expressions and |
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23 the former for everything else). Before we get to parsing though, lets |
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24 talk about the output of the parser: the Abstract Syntax Tree. |
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25 |
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26 The Abstract Syntax Tree (AST) |
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27 ============================== |
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28 |
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29 The AST for a program captures its behavior in such a way that it is |
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30 easy for later stages of the compiler (e.g. code generation) to |
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31 interpret. We basically want one object for each construct in the |
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32 language, and the AST should closely model the language. In |
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33 Kaleidoscope, we have expressions, a prototype, and a function object. |
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34 We'll start with expressions first: |
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35 |
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36 .. code-block:: c++ |
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37 |
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38 /// ExprAST - Base class for all expression nodes. |
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39 class ExprAST { |
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40 public: |
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41 virtual ~ExprAST() {} |
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42 }; |
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43 |
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44 /// NumberExprAST - Expression class for numeric literals like "1.0". |
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45 class NumberExprAST : public ExprAST { |
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46 double Val; |
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47 public: |
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48 NumberExprAST(double val) : Val(val) {} |
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49 }; |
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50 |
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51 The code above shows the definition of the base ExprAST class and one |
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52 subclass which we use for numeric literals. The important thing to note |
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53 about this code is that the NumberExprAST class captures the numeric |
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54 value of the literal as an instance variable. This allows later phases |
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55 of the compiler to know what the stored numeric value is. |
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56 |
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57 Right now we only create the AST, so there are no useful accessor |
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58 methods on them. It would be very easy to add a virtual method to pretty |
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59 print the code, for example. Here are the other expression AST node |
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60 definitions that we'll use in the basic form of the Kaleidoscope |
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61 language: |
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62 |
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63 .. code-block:: c++ |
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64 |
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65 /// VariableExprAST - Expression class for referencing a variable, like "a". |
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66 class VariableExprAST : public ExprAST { |
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67 std::string Name; |
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68 public: |
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69 VariableExprAST(const std::string &name) : Name(name) {} |
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70 }; |
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71 |
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72 /// BinaryExprAST - Expression class for a binary operator. |
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73 class BinaryExprAST : public ExprAST { |
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74 char Op; |
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75 ExprAST *LHS, *RHS; |
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76 public: |
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77 BinaryExprAST(char op, ExprAST *lhs, ExprAST *rhs) |
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78 : Op(op), LHS(lhs), RHS(rhs) {} |
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79 }; |
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80 |
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81 /// CallExprAST - Expression class for function calls. |
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82 class CallExprAST : public ExprAST { |
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83 std::string Callee; |
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84 std::vector<ExprAST*> Args; |
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85 public: |
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86 CallExprAST(const std::string &callee, std::vector<ExprAST*> &args) |
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87 : Callee(callee), Args(args) {} |
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88 }; |
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89 |
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90 This is all (intentionally) rather straight-forward: variables capture |
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91 the variable name, binary operators capture their opcode (e.g. '+'), and |
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92 calls capture a function name as well as a list of any argument |
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93 expressions. One thing that is nice about our AST is that it captures |
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94 the language features without talking about the syntax of the language. |
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95 Note that there is no discussion about precedence of binary operators, |
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96 lexical structure, etc. |
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97 |
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98 For our basic language, these are all of the expression nodes we'll |
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99 define. Because it doesn't have conditional control flow, it isn't |
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100 Turing-complete; we'll fix that in a later installment. The two things |
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101 we need next are a way to talk about the interface to a function, and a |
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102 way to talk about functions themselves: |
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103 |
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104 .. code-block:: c++ |
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105 |
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106 /// PrototypeAST - This class represents the "prototype" for a function, |
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107 /// which captures its name, and its argument names (thus implicitly the number |
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108 /// of arguments the function takes). |
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109 class PrototypeAST { |
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110 std::string Name; |
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111 std::vector<std::string> Args; |
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112 public: |
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113 PrototypeAST(const std::string &name, const std::vector<std::string> &args) |
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114 : Name(name), Args(args) {} |
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115 }; |
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116 |
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117 /// FunctionAST - This class represents a function definition itself. |
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118 class FunctionAST { |
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119 PrototypeAST *Proto; |
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120 ExprAST *Body; |
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121 public: |
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122 FunctionAST(PrototypeAST *proto, ExprAST *body) |
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123 : Proto(proto), Body(body) {} |
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124 }; |
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125 |
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126 In Kaleidoscope, functions are typed with just a count of their |
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127 arguments. Since all values are double precision floating point, the |
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128 type of each argument doesn't need to be stored anywhere. In a more |
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129 aggressive and realistic language, the "ExprAST" class would probably |
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130 have a type field. |
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131 |
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132 With this scaffolding, we can now talk about parsing expressions and |
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133 function bodies in Kaleidoscope. |
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134 |
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135 Parser Basics |
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136 ============= |
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137 |
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138 Now that we have an AST to build, we need to define the parser code to |
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139 build it. The idea here is that we want to parse something like "x+y" |
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140 (which is returned as three tokens by the lexer) into an AST that could |
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141 be generated with calls like this: |
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142 |
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143 .. code-block:: c++ |
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144 |
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145 ExprAST *X = new VariableExprAST("x"); |
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146 ExprAST *Y = new VariableExprAST("y"); |
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147 ExprAST *Result = new BinaryExprAST('+', X, Y); |
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148 |
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149 In order to do this, we'll start by defining some basic helper routines: |
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150 |
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151 .. code-block:: c++ |
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152 |
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153 /// CurTok/getNextToken - Provide a simple token buffer. CurTok is the current |
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154 /// token the parser is looking at. getNextToken reads another token from the |
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155 /// lexer and updates CurTok with its results. |
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156 static int CurTok; |
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157 static int getNextToken() { |
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158 return CurTok = gettok(); |
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159 } |
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160 |
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161 This implements a simple token buffer around the lexer. This allows us |
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162 to look one token ahead at what the lexer is returning. Every function |
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163 in our parser will assume that CurTok is the current token that needs to |
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164 be parsed. |
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165 |
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166 .. code-block:: c++ |
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167 |
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168 |
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169 /// Error* - These are little helper functions for error handling. |
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170 ExprAST *Error(const char *Str) { fprintf(stderr, "Error: %s\n", Str);return 0;} |
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171 PrototypeAST *ErrorP(const char *Str) { Error(Str); return 0; } |
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172 FunctionAST *ErrorF(const char *Str) { Error(Str); return 0; } |
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173 |
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174 The ``Error`` routines are simple helper routines that our parser will |
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175 use to handle errors. The error recovery in our parser will not be the |
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176 best and is not particular user-friendly, but it will be enough for our |
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177 tutorial. These routines make it easier to handle errors in routines |
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178 that have various return types: they always return null. |
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179 |
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180 With these basic helper functions, we can implement the first piece of |
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181 our grammar: numeric literals. |
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182 |
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183 Basic Expression Parsing |
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184 ======================== |
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185 |
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186 We start with numeric literals, because they are the simplest to |
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187 process. For each production in our grammar, we'll define a function |
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188 which parses that production. For numeric literals, we have: |
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189 |
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190 .. code-block:: c++ |
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191 |
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192 /// numberexpr ::= number |
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193 static ExprAST *ParseNumberExpr() { |
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194 ExprAST *Result = new NumberExprAST(NumVal); |
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195 getNextToken(); // consume the number |
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196 return Result; |
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197 } |
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198 |
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199 This routine is very simple: it expects to be called when the current |
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200 token is a ``tok_number`` token. It takes the current number value, |
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201 creates a ``NumberExprAST`` node, advances the lexer to the next token, |
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202 and finally returns. |
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203 |
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204 There are some interesting aspects to this. The most important one is |
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205 that this routine eats all of the tokens that correspond to the |
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206 production and returns the lexer buffer with the next token (which is |
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207 not part of the grammar production) ready to go. This is a fairly |
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208 standard way to go for recursive descent parsers. For a better example, |
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209 the parenthesis operator is defined like this: |
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210 |
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211 .. code-block:: c++ |
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212 |
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213 /// parenexpr ::= '(' expression ')' |
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214 static ExprAST *ParseParenExpr() { |
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215 getNextToken(); // eat (. |
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216 ExprAST *V = ParseExpression(); |
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217 if (!V) return 0; |
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218 |
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219 if (CurTok != ')') |
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220 return Error("expected ')'"); |
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221 getNextToken(); // eat ). |
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222 return V; |
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223 } |
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224 |
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225 This function illustrates a number of interesting things about the |
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226 parser: |
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227 |
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228 1) It shows how we use the Error routines. When called, this function |
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229 expects that the current token is a '(' token, but after parsing the |
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230 subexpression, it is possible that there is no ')' waiting. For example, |
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231 if the user types in "(4 x" instead of "(4)", the parser should emit an |
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232 error. Because errors can occur, the parser needs a way to indicate that |
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233 they happened: in our parser, we return null on an error. |
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234 |
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235 2) Another interesting aspect of this function is that it uses recursion |
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236 by calling ``ParseExpression`` (we will soon see that |
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237 ``ParseExpression`` can call ``ParseParenExpr``). This is powerful |
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238 because it allows us to handle recursive grammars, and keeps each |
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239 production very simple. Note that parentheses do not cause construction |
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240 of AST nodes themselves. While we could do it this way, the most |
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241 important role of parentheses are to guide the parser and provide |
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242 grouping. Once the parser constructs the AST, parentheses are not |
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243 needed. |
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244 |
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245 The next simple production is for handling variable references and |
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246 function calls: |
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247 |
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248 .. code-block:: c++ |
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249 |
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250 /// identifierexpr |
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251 /// ::= identifier |
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252 /// ::= identifier '(' expression* ')' |
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253 static ExprAST *ParseIdentifierExpr() { |
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254 std::string IdName = IdentifierStr; |
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255 |
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256 getNextToken(); // eat identifier. |
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257 |
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258 if (CurTok != '(') // Simple variable ref. |
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259 return new VariableExprAST(IdName); |
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260 |
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261 // Call. |
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262 getNextToken(); // eat ( |
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263 std::vector<ExprAST*> Args; |
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264 if (CurTok != ')') { |
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265 while (1) { |
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266 ExprAST *Arg = ParseExpression(); |
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267 if (!Arg) return 0; |
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268 Args.push_back(Arg); |
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269 |
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270 if (CurTok == ')') break; |
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271 |
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272 if (CurTok != ',') |
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273 return Error("Expected ')' or ',' in argument list"); |
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274 getNextToken(); |
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275 } |
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276 } |
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277 |
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278 // Eat the ')'. |
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279 getNextToken(); |
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280 |
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281 return new CallExprAST(IdName, Args); |
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282 } |
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283 |
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284 This routine follows the same style as the other routines. (It expects |
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285 to be called if the current token is a ``tok_identifier`` token). It |
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286 also has recursion and error handling. One interesting aspect of this is |
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287 that it uses *look-ahead* to determine if the current identifier is a |
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288 stand alone variable reference or if it is a function call expression. |
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289 It handles this by checking to see if the token after the identifier is |
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290 a '(' token, constructing either a ``VariableExprAST`` or |
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291 ``CallExprAST`` node as appropriate. |
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292 |
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293 Now that we have all of our simple expression-parsing logic in place, we |
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294 can define a helper function to wrap it together into one entry point. |
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295 We call this class of expressions "primary" expressions, for reasons |
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296 that will become more clear `later in the |
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297 tutorial <LangImpl6.html#unary>`_. In order to parse an arbitrary |
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298 primary expression, we need to determine what sort of expression it is: |
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299 |
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300 .. code-block:: c++ |
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301 |
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302 /// primary |
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303 /// ::= identifierexpr |
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304 /// ::= numberexpr |
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305 /// ::= parenexpr |
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306 static ExprAST *ParsePrimary() { |
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307 switch (CurTok) { |
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308 default: return Error("unknown token when expecting an expression"); |
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309 case tok_identifier: return ParseIdentifierExpr(); |
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310 case tok_number: return ParseNumberExpr(); |
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311 case '(': return ParseParenExpr(); |
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312 } |
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313 } |
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314 |
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315 Now that you see the definition of this function, it is more obvious why |
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316 we can assume the state of CurTok in the various functions. This uses |
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317 look-ahead to determine which sort of expression is being inspected, and |
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318 then parses it with a function call. |
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319 |
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320 Now that basic expressions are handled, we need to handle binary |
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321 expressions. They are a bit more complex. |
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322 |
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323 Binary Expression Parsing |
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324 ========================= |
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325 |
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326 Binary expressions are significantly harder to parse because they are |
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327 often ambiguous. For example, when given the string "x+y\*z", the parser |
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328 can choose to parse it as either "(x+y)\*z" or "x+(y\*z)". With common |
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329 definitions from mathematics, we expect the later parse, because "\*" |
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330 (multiplication) has higher *precedence* than "+" (addition). |
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331 |
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332 There are many ways to handle this, but an elegant and efficient way is |
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333 to use `Operator-Precedence |
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334 Parsing <http://en.wikipedia.org/wiki/Operator-precedence_parser>`_. |
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335 This parsing technique uses the precedence of binary operators to guide |
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336 recursion. To start with, we need a table of precedences: |
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337 |
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338 .. code-block:: c++ |
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339 |
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340 /// BinopPrecedence - This holds the precedence for each binary operator that is |
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341 /// defined. |
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342 static std::map<char, int> BinopPrecedence; |
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343 |
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344 /// GetTokPrecedence - Get the precedence of the pending binary operator token. |
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345 static int GetTokPrecedence() { |
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346 if (!isascii(CurTok)) |
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347 return -1; |
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348 |
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349 // Make sure it's a declared binop. |
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350 int TokPrec = BinopPrecedence[CurTok]; |
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351 if (TokPrec <= 0) return -1; |
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352 return TokPrec; |
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353 } |
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354 |
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355 int main() { |
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356 // Install standard binary operators. |
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357 // 1 is lowest precedence. |
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358 BinopPrecedence['<'] = 10; |
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359 BinopPrecedence['+'] = 20; |
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360 BinopPrecedence['-'] = 20; |
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361 BinopPrecedence['*'] = 40; // highest. |
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362 ... |
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363 } |
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364 |
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365 For the basic form of Kaleidoscope, we will only support 4 binary |
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366 operators (this can obviously be extended by you, our brave and intrepid |
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367 reader). The ``GetTokPrecedence`` function returns the precedence for |
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368 the current token, or -1 if the token is not a binary operator. Having a |
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369 map makes it easy to add new operators and makes it clear that the |
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370 algorithm doesn't depend on the specific operators involved, but it |
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371 would be easy enough to eliminate the map and do the comparisons in the |
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372 ``GetTokPrecedence`` function. (Or just use a fixed-size array). |
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373 |
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374 With the helper above defined, we can now start parsing binary |
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375 expressions. The basic idea of operator precedence parsing is to break |
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376 down an expression with potentially ambiguous binary operators into |
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377 pieces. Consider ,for example, the expression "a+b+(c+d)\*e\*f+g". |
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378 Operator precedence parsing considers this as a stream of primary |
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379 expressions separated by binary operators. As such, it will first parse |
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380 the leading primary expression "a", then it will see the pairs [+, b] |
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381 [+, (c+d)] [\*, e] [\*, f] and [+, g]. Note that because parentheses are |
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382 primary expressions, the binary expression parser doesn't need to worry |
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383 about nested subexpressions like (c+d) at all. |
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384 |
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385 To start, an expression is a primary expression potentially followed by |
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386 a sequence of [binop,primaryexpr] pairs: |
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387 |
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388 .. code-block:: c++ |
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389 |
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390 /// expression |
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391 /// ::= primary binoprhs |
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392 /// |
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393 static ExprAST *ParseExpression() { |
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394 ExprAST *LHS = ParsePrimary(); |
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395 if (!LHS) return 0; |
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396 |
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397 return ParseBinOpRHS(0, LHS); |
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398 } |
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399 |
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400 ``ParseBinOpRHS`` is the function that parses the sequence of pairs for |
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401 us. It takes a precedence and a pointer to an expression for the part |
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402 that has been parsed so far. Note that "x" is a perfectly valid |
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403 expression: As such, "binoprhs" is allowed to be empty, in which case it |
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404 returns the expression that is passed into it. In our example above, the |
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405 code passes the expression for "a" into ``ParseBinOpRHS`` and the |
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406 current token is "+". |
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407 |
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408 The precedence value passed into ``ParseBinOpRHS`` indicates the |
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409 *minimal operator precedence* that the function is allowed to eat. For |
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410 example, if the current pair stream is [+, x] and ``ParseBinOpRHS`` is |
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411 passed in a precedence of 40, it will not consume any tokens (because |
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412 the precedence of '+' is only 20). With this in mind, ``ParseBinOpRHS`` |
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413 starts with: |
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414 |
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415 .. code-block:: c++ |
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416 |
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417 /// binoprhs |
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418 /// ::= ('+' primary)* |
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419 static ExprAST *ParseBinOpRHS(int ExprPrec, ExprAST *LHS) { |
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420 // If this is a binop, find its precedence. |
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421 while (1) { |
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422 int TokPrec = GetTokPrecedence(); |
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423 |
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424 // If this is a binop that binds at least as tightly as the current binop, |
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425 // consume it, otherwise we are done. |
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426 if (TokPrec < ExprPrec) |
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427 return LHS; |
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428 |
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429 This code gets the precedence of the current token and checks to see if |
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430 if is too low. Because we defined invalid tokens to have a precedence of |
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431 -1, this check implicitly knows that the pair-stream ends when the token |
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432 stream runs out of binary operators. If this check succeeds, we know |
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433 that the token is a binary operator and that it will be included in this |
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434 expression: |
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435 |
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436 .. code-block:: c++ |
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437 |
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438 // Okay, we know this is a binop. |
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439 int BinOp = CurTok; |
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440 getNextToken(); // eat binop |
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441 |
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442 // Parse the primary expression after the binary operator. |
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443 ExprAST *RHS = ParsePrimary(); |
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444 if (!RHS) return 0; |
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445 |
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446 As such, this code eats (and remembers) the binary operator and then |
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447 parses the primary expression that follows. This builds up the whole |
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448 pair, the first of which is [+, b] for the running example. |
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449 |
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450 Now that we parsed the left-hand side of an expression and one pair of |
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451 the RHS sequence, we have to decide which way the expression associates. |
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452 In particular, we could have "(a+b) binop unparsed" or "a + (b binop |
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453 unparsed)". To determine this, we look ahead at "binop" to determine its |
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454 precedence and compare it to BinOp's precedence (which is '+' in this |
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455 case): |
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456 |
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457 .. code-block:: c++ |
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458 |
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459 // If BinOp binds less tightly with RHS than the operator after RHS, let |
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460 // the pending operator take RHS as its LHS. |
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461 int NextPrec = GetTokPrecedence(); |
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462 if (TokPrec < NextPrec) { |
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463 |
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464 If the precedence of the binop to the right of "RHS" is lower or equal |
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465 to the precedence of our current operator, then we know that the |
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466 parentheses associate as "(a+b) binop ...". In our example, the current |
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467 operator is "+" and the next operator is "+", we know that they have the |
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468 same precedence. In this case we'll create the AST node for "a+b", and |
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469 then continue parsing: |
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470 |
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471 .. code-block:: c++ |
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472 |
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473 ... if body omitted ... |
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474 } |
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475 |
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476 // Merge LHS/RHS. |
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477 LHS = new BinaryExprAST(BinOp, LHS, RHS); |
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478 } // loop around to the top of the while loop. |
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479 } |
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480 |
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481 In our example above, this will turn "a+b+" into "(a+b)" and execute the |
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482 next iteration of the loop, with "+" as the current token. The code |
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483 above will eat, remember, and parse "(c+d)" as the primary expression, |
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484 which makes the current pair equal to [+, (c+d)]. It will then evaluate |
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485 the 'if' conditional above with "\*" as the binop to the right of the |
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486 primary. In this case, the precedence of "\*" is higher than the |
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487 precedence of "+" so the if condition will be entered. |
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488 |
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489 The critical question left here is "how can the if condition parse the |
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490 right hand side in full"? In particular, to build the AST correctly for |
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491 our example, it needs to get all of "(c+d)\*e\*f" as the RHS expression |
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492 variable. The code to do this is surprisingly simple (code from the |
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493 above two blocks duplicated for context): |
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494 |
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495 .. code-block:: c++ |
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496 |
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497 // If BinOp binds less tightly with RHS than the operator after RHS, let |
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498 // the pending operator take RHS as its LHS. |
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499 int NextPrec = GetTokPrecedence(); |
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500 if (TokPrec < NextPrec) { |
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501 RHS = ParseBinOpRHS(TokPrec+1, RHS); |
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502 if (RHS == 0) return 0; |
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503 } |
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504 // Merge LHS/RHS. |
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505 LHS = new BinaryExprAST(BinOp, LHS, RHS); |
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506 } // loop around to the top of the while loop. |
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507 } |
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508 |
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509 At this point, we know that the binary operator to the RHS of our |
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510 primary has higher precedence than the binop we are currently parsing. |
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511 As such, we know that any sequence of pairs whose operators are all |
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512 higher precedence than "+" should be parsed together and returned as |
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513 "RHS". To do this, we recursively invoke the ``ParseBinOpRHS`` function |
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514 specifying "TokPrec+1" as the minimum precedence required for it to |
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515 continue. In our example above, this will cause it to return the AST |
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516 node for "(c+d)\*e\*f" as RHS, which is then set as the RHS of the '+' |
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517 expression. |
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518 |
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519 Finally, on the next iteration of the while loop, the "+g" piece is |
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520 parsed and added to the AST. With this little bit of code (14 |
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521 non-trivial lines), we correctly handle fully general binary expression |
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522 parsing in a very elegant way. This was a whirlwind tour of this code, |
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523 and it is somewhat subtle. I recommend running through it with a few |
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524 tough examples to see how it works. |
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525 |
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526 This wraps up handling of expressions. At this point, we can point the |
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527 parser at an arbitrary token stream and build an expression from it, |
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528 stopping at the first token that is not part of the expression. Next up |
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529 we need to handle function definitions, etc. |
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530 |
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531 Parsing the Rest |
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532 ================ |
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533 |
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534 The next thing missing is handling of function prototypes. In |
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535 Kaleidoscope, these are used both for 'extern' function declarations as |
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536 well as function body definitions. The code to do this is |
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537 straight-forward and not very interesting (once you've survived |
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538 expressions): |
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539 |
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540 .. code-block:: c++ |
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541 |
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542 /// prototype |
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543 /// ::= id '(' id* ')' |
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544 static PrototypeAST *ParsePrototype() { |
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545 if (CurTok != tok_identifier) |
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546 return ErrorP("Expected function name in prototype"); |
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547 |
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548 std::string FnName = IdentifierStr; |
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549 getNextToken(); |
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550 |
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551 if (CurTok != '(') |
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552 return ErrorP("Expected '(' in prototype"); |
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553 |
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554 // Read the list of argument names. |
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555 std::vector<std::string> ArgNames; |
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556 while (getNextToken() == tok_identifier) |
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557 ArgNames.push_back(IdentifierStr); |
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558 if (CurTok != ')') |
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559 return ErrorP("Expected ')' in prototype"); |
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560 |
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561 // success. |
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562 getNextToken(); // eat ')'. |
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563 |
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564 return new PrototypeAST(FnName, ArgNames); |
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565 } |
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566 |
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567 Given this, a function definition is very simple, just a prototype plus |
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568 an expression to implement the body: |
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569 |
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570 .. code-block:: c++ |
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571 |
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572 /// definition ::= 'def' prototype expression |
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573 static FunctionAST *ParseDefinition() { |
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574 getNextToken(); // eat def. |
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575 PrototypeAST *Proto = ParsePrototype(); |
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576 if (Proto == 0) return 0; |
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577 |
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578 if (ExprAST *E = ParseExpression()) |
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579 return new FunctionAST(Proto, E); |
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580 return 0; |
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581 } |
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582 |
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583 In addition, we support 'extern' to declare functions like 'sin' and |
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584 'cos' as well as to support forward declaration of user functions. These |
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585 'extern's are just prototypes with no body: |
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586 |
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587 .. code-block:: c++ |
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588 |
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589 /// external ::= 'extern' prototype |
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590 static PrototypeAST *ParseExtern() { |
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591 getNextToken(); // eat extern. |
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592 return ParsePrototype(); |
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593 } |
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594 |
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595 Finally, we'll also let the user type in arbitrary top-level expressions |
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596 and evaluate them on the fly. We will handle this by defining anonymous |
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597 nullary (zero argument) functions for them: |
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598 |
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599 .. code-block:: c++ |
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600 |
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601 /// toplevelexpr ::= expression |
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602 static FunctionAST *ParseTopLevelExpr() { |
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603 if (ExprAST *E = ParseExpression()) { |
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604 // Make an anonymous proto. |
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605 PrototypeAST *Proto = new PrototypeAST("", std::vector<std::string>()); |
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606 return new FunctionAST(Proto, E); |
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607 } |
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608 return 0; |
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609 } |
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610 |
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611 Now that we have all the pieces, let's build a little driver that will |
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612 let us actually *execute* this code we've built! |
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613 |
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614 The Driver |
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615 ========== |
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616 |
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617 The driver for this simply invokes all of the parsing pieces with a |
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618 top-level dispatch loop. There isn't much interesting here, so I'll just |
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619 include the top-level loop. See `below <#code>`_ for full code in the |
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620 "Top-Level Parsing" section. |
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621 |
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622 .. code-block:: c++ |
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623 |
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624 /// top ::= definition | external | expression | ';' |
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625 static void MainLoop() { |
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626 while (1) { |
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627 fprintf(stderr, "ready> "); |
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628 switch (CurTok) { |
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629 case tok_eof: return; |
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630 case ';': getNextToken(); break; // ignore top-level semicolons. |
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631 case tok_def: HandleDefinition(); break; |
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632 case tok_extern: HandleExtern(); break; |
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633 default: HandleTopLevelExpression(); break; |
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634 } |
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635 } |
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636 } |
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637 |
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638 The most interesting part of this is that we ignore top-level |
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639 semicolons. Why is this, you ask? The basic reason is that if you type |
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640 "4 + 5" at the command line, the parser doesn't know whether that is the |
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641 end of what you will type or not. For example, on the next line you |
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642 could type "def foo..." in which case 4+5 is the end of a top-level |
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643 expression. Alternatively you could type "\* 6", which would continue |
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644 the expression. Having top-level semicolons allows you to type "4+5;", |
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645 and the parser will know you are done. |
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646 |
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647 Conclusions |
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648 =========== |
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649 |
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650 With just under 400 lines of commented code (240 lines of non-comment, |
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651 non-blank code), we fully defined our minimal language, including a |
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652 lexer, parser, and AST builder. With this done, the executable will |
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653 validate Kaleidoscope code and tell us if it is grammatically invalid. |
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654 For example, here is a sample interaction: |
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655 |
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656 .. code-block:: bash |
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657 |
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658 $ ./a.out |
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659 ready> def foo(x y) x+foo(y, 4.0); |
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660 Parsed a function definition. |
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661 ready> def foo(x y) x+y y; |
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662 Parsed a function definition. |
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663 Parsed a top-level expr |
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664 ready> def foo(x y) x+y ); |
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665 Parsed a function definition. |
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666 Error: unknown token when expecting an expression |
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667 ready> extern sin(a); |
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668 ready> Parsed an extern |
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669 ready> ^D |
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670 $ |
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671 |
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672 There is a lot of room for extension here. You can define new AST nodes, |
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673 extend the language in many ways, etc. In the `next |
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674 installment <LangImpl3.html>`_, we will describe how to generate LLVM |
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675 Intermediate Representation (IR) from the AST. |
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676 |
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677 Full Code Listing |
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678 ================= |
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679 |
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680 Here is the complete code listing for this and the previous chapter. |
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681 Note that it is fully self-contained: you don't need LLVM or any |
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682 external libraries at all for this. (Besides the C and C++ standard |
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683 libraries, of course.) To build this, just compile with: |
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684 |
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685 .. code-block:: bash |
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686 |
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687 # Compile |
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688 clang++ -g -O3 toy.cpp |
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689 # Run |
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690 ./a.out |
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691 |
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692 Here is the code: |
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693 |
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694 .. code-block:: c++ |
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695 |
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696 #include <cstdio> |
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697 #include <cstdlib> |
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698 #include <string> |
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699 #include <map> |
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700 #include <vector> |
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701 |
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702 //===----------------------------------------------------------------------===// |
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703 // Lexer |
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704 //===----------------------------------------------------------------------===// |
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705 |
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706 // The lexer returns tokens [0-255] if it is an unknown character, otherwise one |
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707 // of these for known things. |
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708 enum Token { |
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709 tok_eof = -1, |
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710 |
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711 // commands |
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712 tok_def = -2, tok_extern = -3, |
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713 |
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714 // primary |
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715 tok_identifier = -4, tok_number = -5 |
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716 }; |
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717 |
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718 static std::string IdentifierStr; // Filled in if tok_identifier |
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719 static double NumVal; // Filled in if tok_number |
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720 |
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721 /// gettok - Return the next token from standard input. |
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722 static int gettok() { |
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723 static int LastChar = ' '; |
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724 |
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725 // Skip any whitespace. |
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726 while (isspace(LastChar)) |
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727 LastChar = getchar(); |
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728 |
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729 if (isalpha(LastChar)) { // identifier: [a-zA-Z][a-zA-Z0-9]* |
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730 IdentifierStr = LastChar; |
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731 while (isalnum((LastChar = getchar()))) |
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732 IdentifierStr += LastChar; |
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733 |
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734 if (IdentifierStr == "def") return tok_def; |
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735 if (IdentifierStr == "extern") return tok_extern; |
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736 return tok_identifier; |
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737 } |
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738 |
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739 if (isdigit(LastChar) || LastChar == '.') { // Number: [0-9.]+ |
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740 std::string NumStr; |
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741 do { |
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742 NumStr += LastChar; |
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743 LastChar = getchar(); |
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744 } while (isdigit(LastChar) || LastChar == '.'); |
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745 |
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746 NumVal = strtod(NumStr.c_str(), 0); |
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747 return tok_number; |
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748 } |
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749 |
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750 if (LastChar == '#') { |
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751 // Comment until end of line. |
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752 do LastChar = getchar(); |
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753 while (LastChar != EOF && LastChar != '\n' && LastChar != '\r'); |
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754 |
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755 if (LastChar != EOF) |
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756 return gettok(); |
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757 } |
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758 |
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759 // Check for end of file. Don't eat the EOF. |
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760 if (LastChar == EOF) |
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761 return tok_eof; |
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762 |
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763 // Otherwise, just return the character as its ascii value. |
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764 int ThisChar = LastChar; |
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765 LastChar = getchar(); |
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766 return ThisChar; |
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767 } |
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768 |
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769 //===----------------------------------------------------------------------===// |
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770 // Abstract Syntax Tree (aka Parse Tree) |
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771 //===----------------------------------------------------------------------===// |
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772 |
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773 /// ExprAST - Base class for all expression nodes. |
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774 class ExprAST { |
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775 public: |
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776 virtual ~ExprAST() {} |
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777 }; |
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778 |
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779 /// NumberExprAST - Expression class for numeric literals like "1.0". |
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780 class NumberExprAST : public ExprAST { |
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781 double Val; |
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782 public: |
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783 NumberExprAST(double val) : Val(val) {} |
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784 }; |
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785 |
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786 /// VariableExprAST - Expression class for referencing a variable, like "a". |
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787 class VariableExprAST : public ExprAST { |
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788 std::string Name; |
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789 public: |
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790 VariableExprAST(const std::string &name) : Name(name) {} |
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791 }; |
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792 |
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793 /// BinaryExprAST - Expression class for a binary operator. |
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794 class BinaryExprAST : public ExprAST { |
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795 char Op; |
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796 ExprAST *LHS, *RHS; |
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797 public: |
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798 BinaryExprAST(char op, ExprAST *lhs, ExprAST *rhs) |
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799 : Op(op), LHS(lhs), RHS(rhs) {} |
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800 }; |
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801 |
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802 /// CallExprAST - Expression class for function calls. |
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803 class CallExprAST : public ExprAST { |
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804 std::string Callee; |
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805 std::vector<ExprAST*> Args; |
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806 public: |
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807 CallExprAST(const std::string &callee, std::vector<ExprAST*> &args) |
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808 : Callee(callee), Args(args) {} |
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809 }; |
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810 |
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811 /// PrototypeAST - This class represents the "prototype" for a function, |
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812 /// which captures its name, and its argument names (thus implicitly the number |
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813 /// of arguments the function takes). |
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814 class PrototypeAST { |
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815 std::string Name; |
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816 std::vector<std::string> Args; |
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817 public: |
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818 PrototypeAST(const std::string &name, const std::vector<std::string> &args) |
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819 : Name(name), Args(args) {} |
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820 |
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821 }; |
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822 |
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823 /// FunctionAST - This class represents a function definition itself. |
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824 class FunctionAST { |
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825 PrototypeAST *Proto; |
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826 ExprAST *Body; |
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827 public: |
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828 FunctionAST(PrototypeAST *proto, ExprAST *body) |
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829 : Proto(proto), Body(body) {} |
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830 |
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831 }; |
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832 |
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833 //===----------------------------------------------------------------------===// |
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834 // Parser |
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835 //===----------------------------------------------------------------------===// |
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836 |
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837 /// CurTok/getNextToken - Provide a simple token buffer. CurTok is the current |
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838 /// token the parser is looking at. getNextToken reads another token from the |
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839 /// lexer and updates CurTok with its results. |
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840 static int CurTok; |
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841 static int getNextToken() { |
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842 return CurTok = gettok(); |
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843 } |
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844 |
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845 /// BinopPrecedence - This holds the precedence for each binary operator that is |
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846 /// defined. |
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847 static std::map<char, int> BinopPrecedence; |
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848 |
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849 /// GetTokPrecedence - Get the precedence of the pending binary operator token. |
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850 static int GetTokPrecedence() { |
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851 if (!isascii(CurTok)) |
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852 return -1; |
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853 |
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854 // Make sure it's a declared binop. |
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855 int TokPrec = BinopPrecedence[CurTok]; |
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856 if (TokPrec <= 0) return -1; |
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857 return TokPrec; |
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858 } |
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859 |
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860 /// Error* - These are little helper functions for error handling. |
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861 ExprAST *Error(const char *Str) { fprintf(stderr, "Error: %s\n", Str);return 0;} |
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862 PrototypeAST *ErrorP(const char *Str) { Error(Str); return 0; } |
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863 FunctionAST *ErrorF(const char *Str) { Error(Str); return 0; } |
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864 |
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865 static ExprAST *ParseExpression(); |
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866 |
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867 /// identifierexpr |
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868 /// ::= identifier |
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869 /// ::= identifier '(' expression* ')' |
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870 static ExprAST *ParseIdentifierExpr() { |
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871 std::string IdName = IdentifierStr; |
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872 |
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873 getNextToken(); // eat identifier. |
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874 |
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875 if (CurTok != '(') // Simple variable ref. |
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876 return new VariableExprAST(IdName); |
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877 |
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878 // Call. |
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879 getNextToken(); // eat ( |
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880 std::vector<ExprAST*> Args; |
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881 if (CurTok != ')') { |
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882 while (1) { |
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883 ExprAST *Arg = ParseExpression(); |
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884 if (!Arg) return 0; |
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885 Args.push_back(Arg); |
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886 |
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887 if (CurTok == ')') break; |
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888 |
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889 if (CurTok != ',') |
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890 return Error("Expected ')' or ',' in argument list"); |
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891 getNextToken(); |
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892 } |
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893 } |
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894 |
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895 // Eat the ')'. |
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896 getNextToken(); |
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897 |
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898 return new CallExprAST(IdName, Args); |
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899 } |
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900 |
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901 /// numberexpr ::= number |
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902 static ExprAST *ParseNumberExpr() { |
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903 ExprAST *Result = new NumberExprAST(NumVal); |
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904 getNextToken(); // consume the number |
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905 return Result; |
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906 } |
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907 |
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908 /// parenexpr ::= '(' expression ')' |
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909 static ExprAST *ParseParenExpr() { |
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910 getNextToken(); // eat (. |
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911 ExprAST *V = ParseExpression(); |
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912 if (!V) return 0; |
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913 |
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914 if (CurTok != ')') |
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915 return Error("expected ')'"); |
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916 getNextToken(); // eat ). |
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917 return V; |
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918 } |
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919 |
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920 /// primary |
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921 /// ::= identifierexpr |
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922 /// ::= numberexpr |
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923 /// ::= parenexpr |
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924 static ExprAST *ParsePrimary() { |
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925 switch (CurTok) { |
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926 default: return Error("unknown token when expecting an expression"); |
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927 case tok_identifier: return ParseIdentifierExpr(); |
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928 case tok_number: return ParseNumberExpr(); |
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929 case '(': return ParseParenExpr(); |
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|
930 } |
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|
931 } |
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|
932 |
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|
933 /// binoprhs |
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934 /// ::= ('+' primary)* |
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|
935 static ExprAST *ParseBinOpRHS(int ExprPrec, ExprAST *LHS) { |
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936 // If this is a binop, find its precedence. |
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|
937 while (1) { |
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938 int TokPrec = GetTokPrecedence(); |
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939 |
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940 // If this is a binop that binds at least as tightly as the current binop, |
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parents:
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941 // consume it, otherwise we are done. |
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942 if (TokPrec < ExprPrec) |
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|
943 return LHS; |
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944 |
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945 // Okay, we know this is a binop. |
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|
946 int BinOp = CurTok; |
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|
947 getNextToken(); // eat binop |
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948 |
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949 // Parse the primary expression after the binary operator. |
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950 ExprAST *RHS = ParsePrimary(); |
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951 if (!RHS) return 0; |
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|
952 |
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953 // If BinOp binds less tightly with RHS than the operator after RHS, let |
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954 // the pending operator take RHS as its LHS. |
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955 int NextPrec = GetTokPrecedence(); |
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956 if (TokPrec < NextPrec) { |
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957 RHS = ParseBinOpRHS(TokPrec+1, RHS); |
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958 if (RHS == 0) return 0; |
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959 } |
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960 |
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961 // Merge LHS/RHS. |
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962 LHS = new BinaryExprAST(BinOp, LHS, RHS); |
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963 } |
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964 } |
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965 |
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966 /// expression |
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967 /// ::= primary binoprhs |
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968 /// |
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969 static ExprAST *ParseExpression() { |
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970 ExprAST *LHS = ParsePrimary(); |
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971 if (!LHS) return 0; |
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972 |
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973 return ParseBinOpRHS(0, LHS); |
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974 } |
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975 |
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976 /// prototype |
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977 /// ::= id '(' id* ')' |
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978 static PrototypeAST *ParsePrototype() { |
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979 if (CurTok != tok_identifier) |
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980 return ErrorP("Expected function name in prototype"); |
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981 |
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982 std::string FnName = IdentifierStr; |
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983 getNextToken(); |
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984 |
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985 if (CurTok != '(') |
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986 return ErrorP("Expected '(' in prototype"); |
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987 |
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988 std::vector<std::string> ArgNames; |
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989 while (getNextToken() == tok_identifier) |
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990 ArgNames.push_back(IdentifierStr); |
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991 if (CurTok != ')') |
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992 return ErrorP("Expected ')' in prototype"); |
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993 |
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994 // success. |
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995 getNextToken(); // eat ')'. |
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996 |
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997 return new PrototypeAST(FnName, ArgNames); |
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998 } |
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999 |
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1000 /// definition ::= 'def' prototype expression |
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1001 static FunctionAST *ParseDefinition() { |
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1002 getNextToken(); // eat def. |
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1003 PrototypeAST *Proto = ParsePrototype(); |
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1004 if (Proto == 0) return 0; |
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1005 |
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1006 if (ExprAST *E = ParseExpression()) |
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1007 return new FunctionAST(Proto, E); |
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1008 return 0; |
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1009 } |
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1010 |
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1011 /// toplevelexpr ::= expression |
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1012 static FunctionAST *ParseTopLevelExpr() { |
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1013 if (ExprAST *E = ParseExpression()) { |
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1014 // Make an anonymous proto. |
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1015 PrototypeAST *Proto = new PrototypeAST("", std::vector<std::string>()); |
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1016 return new FunctionAST(Proto, E); |
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1017 } |
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1018 return 0; |
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1019 } |
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1020 |
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1021 /// external ::= 'extern' prototype |
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1022 static PrototypeAST *ParseExtern() { |
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1023 getNextToken(); // eat extern. |
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1024 return ParsePrototype(); |
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1025 } |
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1026 |
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1027 //===----------------------------------------------------------------------===// |
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1028 // Top-Level parsing |
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1029 //===----------------------------------------------------------------------===// |
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1030 |
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1031 static void HandleDefinition() { |
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1032 if (ParseDefinition()) { |
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1033 fprintf(stderr, "Parsed a function definition.\n"); |
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1034 } else { |
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1035 // Skip token for error recovery. |
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1036 getNextToken(); |
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1037 } |
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1038 } |
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1039 |
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1040 static void HandleExtern() { |
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1041 if (ParseExtern()) { |
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1042 fprintf(stderr, "Parsed an extern\n"); |
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1043 } else { |
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1044 // Skip token for error recovery. |
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1045 getNextToken(); |
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1046 } |
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1047 } |
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1048 |
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1049 static void HandleTopLevelExpression() { |
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1050 // Evaluate a top-level expression into an anonymous function. |
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1051 if (ParseTopLevelExpr()) { |
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1052 fprintf(stderr, "Parsed a top-level expr\n"); |
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1053 } else { |
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1054 // Skip token for error recovery. |
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1055 getNextToken(); |
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1056 } |
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1057 } |
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1058 |
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1059 /// top ::= definition | external | expression | ';' |
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1060 static void MainLoop() { |
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1061 while (1) { |
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1062 fprintf(stderr, "ready> "); |
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1063 switch (CurTok) { |
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1064 case tok_eof: return; |
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1065 case ';': getNextToken(); break; // ignore top-level semicolons. |
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1066 case tok_def: HandleDefinition(); break; |
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1067 case tok_extern: HandleExtern(); break; |
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1068 default: HandleTopLevelExpression(); break; |
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1069 } |
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1070 } |
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1071 } |
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1072 |
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1073 //===----------------------------------------------------------------------===// |
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1074 // Main driver code. |
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1075 //===----------------------------------------------------------------------===// |
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1076 |
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1077 int main() { |
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1078 // Install standard binary operators. |
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1079 // 1 is lowest precedence. |
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1080 BinopPrecedence['<'] = 10; |
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1081 BinopPrecedence['+'] = 20; |
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1082 BinopPrecedence['-'] = 20; |
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1083 BinopPrecedence['*'] = 40; // highest. |
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1084 |
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1085 // Prime the first token. |
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1086 fprintf(stderr, "ready> "); |
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1087 getNextToken(); |
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1088 |
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1089 // Run the main "interpreter loop" now. |
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1090 MainLoop(); |
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1091 |
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1092 return 0; |
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1093 } |
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1094 |
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1095 `Next: Implementing Code Generation to LLVM IR <LangImpl3.html>`_ |
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1096 |