解决与PLY的转变/减少冲突

时间:2014-03-07 09:35:10

标签: python parsing compiler-construction grammar ply

我在PLY中setlx language有以下语法:

Rule 0     S' -> file_input
Rule 1     file_input -> statement_list
Rule 2     epsilon -> <empty>
Rule 3     statement_list -> statement
Rule 4     statement_list -> statement_list statement
Rule 5     statement -> simple_statement SEMICOLON
Rule 6     statement -> compound_statement
Rule 7     simple_statement -> expression_statement
Rule 8     simple_statement -> assert_statement
Rule 9     simple_statement -> assignment_statement
Rule 10    simple_statement -> augmented_assign_statement
Rule 11    simple_statement -> backtrack_statement
Rule 12    simple_statement -> break_statement
Rule 13    simple_statement -> continue_statement
Rule 14    simple_statement -> exit_statement
Rule 15    simple_statement -> return_statement
Rule 16    simple_statement -> quantor
Rule 17    simple_statement -> term
Rule 18    expression_statement -> expression
Rule 19    backtrack_statement -> BACKTRACK
Rule 20    break_statement -> BREAK
Rule 21    continue_statement -> CONTINUE
Rule 22    exit_statement -> EXIT
Rule 23    return_statement -> RETURN
Rule 24    return_statement -> RETURN expression
Rule 25    expression_list -> expression
Rule 26    expression_list -> expression_list COMMA expression
Rule 27    expression -> implication
Rule 28    expression -> lambda_definition
Rule 29    expression -> implication EQUIVALENT implication
Rule 30    expression -> implication ANTIVALENT implication
Rule 31    implication -> disjunction
Rule 32    implication -> disjunction IMPLICATES disjunction
Rule 33    disjunction -> conjunction
Rule 34    disjunction -> disjunction OR conjunction
Rule 35    conjunction -> comparison
Rule 36    conjunction -> conjunction AND comparison
Rule 37    comparison -> sum
Rule 38    comparison -> sum EQ sum
Rule 39    comparison -> sum NEQ sum
Rule 40    comparison -> sum LT sum
Rule 41    comparison -> sum LE sum
Rule 42    comparison -> sum GT sum
Rule 43    comparison -> sum GE sum
Rule 44    comparison -> sum IN sum
Rule 45    comparison -> sum NOTIN sum
Rule 46    sum -> product
Rule 47    sum -> sum PLUS product
Rule 48    sum -> sum MINUS product
Rule 49    product -> reduce
Rule 50    product -> product TIMES reduce
Rule 51    product -> product DIVIDE reduce
Rule 52    product -> product IDIVIDE reduce
Rule 53    product -> product MOD reduce
Rule 54    product -> product CARTESIAN reduce
Rule 55    reduce -> unary_expression
Rule 56    reduce -> reduce SUM unary_expression
Rule 57    reduce -> reduce PRODUCT unary_expression
Rule 58    unary_expression -> power
Rule 59    unary_expression -> SUM unary_expression
Rule 60    unary_expression -> PRODUCT unary_expression
Rule 61    unary_expression -> HASH unary_expression
Rule 62    unary_expression -> MINUS unary_expression
Rule 63    unary_expression -> AT unary_expression
Rule 64    unary_expression -> BANG unary_expression
Rule 65    power -> primary
Rule 66    power -> primary POW unary_expression
Rule 67    primary -> atom
Rule 68    primary -> attributeref
Rule 69    primary -> subscription
Rule 70    primary -> slicing
Rule 71    primary -> procedure
Rule 72    primary -> call
Rule 73    primary -> primary BANG
Rule 74    atom -> identifier
Rule 75    atom -> literal
Rule 76    atom -> enclosure
Rule 77    identifier -> IDENTIFIER
Rule 78    identifier -> UNUSED
Rule 79    attributeref -> primary DOT identifier
Rule 80    subscription -> primary LBRACKET expression RBRACKET
Rule 81    slicing -> primary LBRACKET lower_bound RANGE upper_bound RBRACKET
Rule 82    lower_bound -> expression
Rule 83    lower_bound -> epsilon
Rule 84    upper_bound -> expression
Rule 85    upper_bound -> epsilon
Rule 86    literal -> stringliteral
Rule 87    literal -> integer
Rule 88    literal -> floatnumber
Rule 89    literal -> boolean
Rule 90    stringliteral -> STRING
Rule 91    stringliteral -> LITERAL
Rule 92    integer -> INTEGER
Rule 93    floatnumber -> DOUBLE
Rule 94    boolean -> TRUE
Rule 95    boolean -> FALSE
Rule 96    enclosure -> parenth_form
Rule 97    enclosure -> set_display
Rule 98    enclosure -> list_display
Rule 99    parenth_form -> LPAREN expression RPAREN
Rule 100   set_display -> LBRACE expression RANGE expression RBRACE
Rule 101   set_display -> LBRACE expression COMMA expression RANGE expression RBRACE
Rule 102   set_display -> LPAREN argument_list RPAREN
Rule 103   list_display -> LBRACKET expression RANGE expression RBRACKET
Rule 104   list_display -> LBRACKET expression COMMA expression RANGE expression RBRACKET
Rule 105   list_display -> LBRACKET argument_list RBRACKET
Rule 106   lambda_definition -> lambda_parameters LAMBDADEF expression
Rule 107   lambda_parameters -> identifier
Rule 108   lambda_parameters -> LT parameter_list GT
Rule 109   assignment_statement -> target ASSIGN expression
Rule 110   target -> expression
Rule 111   augmented_assign_statement -> augtarget augop expression
Rule 112   augtarget -> identifier
Rule 113   augtarget -> attributeref
Rule 114   augtarget -> subscription
Rule 115   augop -> PLUS_EQUAL
Rule 116   augop -> MINUS_EQUAL
Rule 117   augop -> TIMES_EQUAL
Rule 118   augop -> DIVIDE_EQUAL
Rule 119   augop -> IDIVIDE_EQUAL
Rule 120   augop -> MOD_EQUAL
Rule 121   assert_statement -> ASSERT LPAREN expression COMMA expression RPAREN
Rule 122   term -> TERM LPAREN term_arguments RPAREN
Rule 123   term_arguments -> expression_list
Rule 124   term_arguments -> epsilon
Rule 125   procedure -> PROCEDURE LPAREN parameter_list RPAREN LBRACE block RBRACE
Rule 126   procedure -> CPROCEDURE LPAREN parameter_list RPAREN LBRACE block RBRACE
Rule 127   parameter_list -> procedure_param
Rule 128   parameter_list -> parameter_list COMMA procedure_param
Rule 129   parameter_list -> epsilon
Rule 130   procedure_param -> identifier
Rule 131   call -> primary LPAREN argument_list RPAREN
Rule 132   call -> primary LPAREN RPAREN
Rule 133   argument_list -> expression
Rule 134   argument_list -> argument_list COMMA expression
Rule 135   quantor -> FORALL LPAREN iterator_chain PIPE expression RPAREN
Rule 136   quantor -> EXISTS LPAREN iterator_chain PIPE expression RPAREN
Rule 137   iterator -> target IN expression
Rule 138   iterator_chain -> iterator
Rule 139   iterator_chain -> iterator_chain COMMA iterator
Rule 140   compound_statement -> if_statement
Rule 141   compound_statement -> switch_statement
Rule 142   compound_statement -> match_statement
Rule 143   compound_statement -> while_loop
Rule 144   compound_statement -> do_while_loop
Rule 145   compound_statement -> for_loop
Rule 146   block -> statement_list
Rule 147   block -> epsilon
Rule 148   if_statement -> IF LPAREN expression RPAREN LBRACE block RBRACE
Rule 149   if_statement -> IF LPAREN expression RPAREN LBRACE block RBRACE ELSE LBRACE block RBRACE
Rule 150   if_statement -> IF LPAREN expression RPAREN LBRACE block RBRACE ELSE if_statement
Rule 151   switch_statement -> SWITCH LBRACE case_statements default_case RBRACE
Rule 152   case_statements -> case_list
Rule 153   case_statements -> epsilon
Rule 154   case_list -> case_statement
Rule 155   case_list -> case_list case_statement
Rule 156   case_statement -> CASE expression COLON block
Rule 157   default_case -> DEFAULT COLON block
Rule 158   default_case -> epsilon
Rule 159   match_statement -> MATCH
Rule 160   while_loop -> WHILE LPAREN expression RPAREN LBRACE block RBRACE
Rule 161   do_while_loop -> DO LBRACE block RBRACE WHILE LPAREN expression RPAREN SEMICOLON
Rule 162   for_loop -> FOR LPAREN iterator_chain RPAREN LBRACE block RBRACE

在最后几米,我现在遇到了一些冲突:

WARNING: 
WARNING: Conflicts:
WARNING: 
WARNING: shift/reduce conflict for IN in state 34 resolved as shift
WARNING: shift/reduce conflict for COMMA in state 94 resolved as shift
WARNING: shift/reduce conflict for RPAREN in state 154 resolved as shift

如何解决这些问题而不会产生新的冲突?我知道它们来自哪里,但我不知道修复它。任何帮助或一般建议都是适当的。

1 个答案:

答案 0 :(得分:4)

我会向后做这些,因为我们从最简单到最艰难。事实上,我真的没有第一次冲突的解决方案。

第三个冲突是语法中实际含糊不清的结果。你需要摆脱歧义:

Rule 96    enclosure -> parenth_form
Rule 97    enclosure -> set_display
Rule 99    parenth_form -> LPAREN expression RPAREN
Rule 102   set_display -> LPAREN argument_list RPAREN
Rule 133   argument_list -> expression

因此,如果我们要查找enclosure并找到一个简单的括号表达式,它可以是parenth_form,也可以是包含{{1}的set_display恰好一个表达式。我怀疑这里的意图是一个简单的括号表达式是argument_list,但没有办法从语法中说出来。

最简单的解决方案是完全摆脱parenth_form,并在为parenth_form对应的argument_list构建AST节点时检查单元素set_display的情况。规则102.另一种可能性是明确它;更改规则102以要求set_display至少有两个表达式:

set_display -> LPAREN expression COMMA argument_list RPAREN

但是,仍然需要您处理AST,因为在构建expression节点时,必须将argument_list添加到set_display

第二次S / R冲突实际上非常相似。它的出现是因为:

Rule 104   list_display -> LBRACKET expression COMMA expression RANGE expression RBRACKET
Rule 105   list_display -> LBRACKET argument_list RBRACKET

所以:

LBRACKET expression COMMA expression ...
如果以下符号为RANGE

将需要按规则104减少;如果以下符号为RBRACKET,则按规则105;如果以下符号为COMMA,则按规则134。 (这是一个粗略的近似,因为它假定我们已经知道第二个expression的结束。)正如所写的那样,语法需要在看到第一个{{1因为它需要在那时决定是否创建COMMA

解决方案是延迟解析器的决定,这很简单但很难看:

argument_list

现在,第一个list_display -> LBRACKET expression RANGE expression RBRACKET list_display -> LBRACKET expression COMMA expression RANGE expression RBRACKET list_display -> LBRACKET expression RBRACKET list_display -> LBRACKET expression COMMA argument_list RBRACKET 总是被转移,关于减少COMMA的类型的决定会延迟到第二个list_display的结尾(如果有两个expression s),但有必要在最后两个作品中使用AST来纠正expression

出现第一个S / R冲突,因为argument_list既用作运算符又用作IN的句法部分:

iterator

但是因为Rule 44 comparison -> sum IN sum Rule 137 iterator -> target IN expression 只是targetexpression可以派生expression,所以解析器无法(大部分时间)知道哪个sum IN 1}}它直到解析之后才会看到它。

之前推迟决策的技术在这里不起作用,因为您需要知道您正在查看哪种类型的IN才能正确应用运算符优先级。假设我们处于需要iterator的上下文中,输入为:

atom1 AND atom2 IN atom3

如果那是迭代器(即下一个符号是COMMARPAREN),那么就是:

( atom1 AND atom2 ) IN atom3

但是,如果这是迭代器的左侧,则需要以完全不同的方式对其进行解析:

( atom1 AND ( atom2 IN atom3 ) ) IN expression

此外,atom3可能是一个任意表达式,可能是atom3 AND atom4,导致两个解析:

( atom1 AND atom2 ) IN ( atom3 AND atom4 )
( atom1 AND ( atom2 IN atom3 ) AND atom4 ) IN expression

这就是双语者在语言设计上不好的原因。

我强烈怀疑没有LR(k)语法可以解析你语言的特定角落,尽管这只是基于直觉;我没有证据。但是,GLR解析器没有问题,因为它实际上并不含糊。我不知道Python中是否有GLR解析器生成器;如果你不依赖于Python,你当然可以使用bison

GLR解析器也解决了第二次冲突,这也不是歧义的结果。