Casiano Rodriguez-Leon > Parse-Eyapp > Parse::Eyapp::treematchingtut

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NAME ^

Parse::Eyapp::treematchingtut - Tree Matching and Tree substitution: an introduction

TREE MATCHING AND TREE SUBSTITUTION ^

Most of the examples in this section can be found in the directory examples/MatchingTrees that comes with the distribution of Parse::Eyapp.

Matching Trees

Both the transformation objects in Parse::Eyapp::YATW and the nodes in Parse::Eyapp::Node have a method named m for matching. For a Parse::Eyapp::YATW object, the method -when called in a list context- returns a list of Parse::Eyapp::Node::Match nodes.

                    @R = $t->m($yatw1, $yatw2, $yatw3, ...)

A Parse::Eyapp::Node::Match object describes the nodes of the actual tree that have matched. The nodes in the returned list are organized in a hierarchy. They appear in the list sorted according to a depth-first visit of the actual tree $t. In a scalar context m returns the first element of the list.

Let us denote by $t the actual tree being searched and $r one of the Parse::Eyapp::Node::Match nodes in the resulting forest @R. Then we have the following methods:

Use of m as a Parse::Eyapp::Node Method

The example in examples/MatchingTrees/m2.pl shows the use of m as a Parse::Eyapp::Node method.

  examples/MatchingTrees$ cat -n m2.pl
     1  #!/usr/bin/perl -w
     2  use strict;
     3  use Rule6;
     4  use Parse::Eyapp::Treeregexp;
     5
     6  Parse::Eyapp::Treeregexp->new( STRING => q{
     7    fold: /TIMES|PLUS|DIV|MINUS/(NUM, NUM)
     8    zxw: TIMES(NUM($x), .) and { $x->{attr} == 0 }
     9    wxz: TIMES(., NUM($x)) and { $x->{attr} == 0 }
    10  })->generate();
    11
    12  # Syntax analysis
    13  my $parser = new Rule6();
    14  my $input = "0*0*0";
    15  my $t = $parser->Run(\$input);
    16  print "Tree:",$t->str,"\n";
    17
    18  # Search
    19  my $m = $t->m(our ($fold, $zxw, $wxz));
    20  print "Match Node:\n",$m->str,"\n";

When executed with input 0*0*0 the program generates this output:

  examples/MatchingTrees$ m2.pl
  Tree:TIMES(TIMES(NUM(TERMINAL),NUM(TERMINAL)),NUM(TERMINAL))
  Match Node:
  Match[[TIMES:0:wxz]](Match[[TIMES:1:fold,zxw,wxz]])

The representation of Match nodes by str deserves a comment. Match nodes have their own info method. It returns a string containing the concatenation of the class of $r->node (i.e. the actual node that matched), the depth ($r->depth) and the names of the transformations that matched (as provided by the method $r->names)

Use of m as a Parse::Eyapp::YATW Method

A second example can be found inside the file examples/typechecking/Simple-Types-XXX.tar.gz. It illustrates a use of m as a Parse::Eyapp:YATW method. It solves a problem of scope analysis in a C compiler: matching each RETURN statement with the function that surrounds it. The parsing was already done, the AST was built and left in $t. The treeregexp used (see lib/Simple/Trans.trg) is:

  retscope: /FUNCTION|RETURN/

and the code that solves the problem (see subroutine compile in file lib/Simple/Types.eyp is:

 # Associate each "return exp" with its "function"
 my @returns = $retscope->m($t); 
 for (@returns) {
   my $node = $_->node;
   if (ref($node) eq 'RETURN') {
     my $function = $_->father->node; 
     $node->{function}  = $function;  
     $node->{t} = $function->{t};
   }
 }

The first line gets a list of Parse::Eyapp::Node::Match nodes describing the actual nodes that matched /FUNCTION|RETURN/. If the node described by $_ is a 'RETURN' node, the expresion $_->father->node must necessarily point to the function node that encloses it.

The SEVERITY option of Parse::Eyapp::Treeregexp::new

The SEVERITY option of Parse::Eyapp::Treeregexp::new controls the way matching succeeds regarding the number of children. To illustrate its use let us consider the following example. The grammar used Rule6.yp is similar to the example in the section "SYNOPSIS" in Parse::Eyapp::Node.

  examples/MatchingTrees$ cat -n numchildren.pl
     1  #!/usr/bin/perl -w
     2  use strict;
     3  use Rule6;
     4  use Parse::Eyapp::Treeregexp;
     5
     6  sub TERMINAL::info { $_[0]{attr} }
     7
     8  my $severity = shift || 0;
     9  my $input = shift || '0*2';
    10
    11  my $parser = new Rule6();
    12  my $t = $parser->Run(\$input);
    13
    14  my $transform = Parse::Eyapp::Treeregexp->new(
    15    STRING => q{
    16      zero_times_whatever: TIMES(NUM($x)) and { $x->{attr} == 0 } => { $_[0] = $NUM }
    17    },
    18    SEVERITY => $severity,
    19    FIRSTLINE => 14,
    20  )->generate;
    21
    22  $t->s(our @all);
    23
    24  print $t->str,"\n";

The program gets the severity level from the command line (line 9). The specification of the term TIMES(NUM($x)) inside the transformation zero_times_whatever does not clearly state that TIMES must have two children. There are several interpretations of the treregexp depending on the level fixed for SEVERITY:

Observe the change in behavior according to the level of SEVERITY:

  pl@nereida:~/LEyapp/examples/MatchingTrees$ numchildren.pl 0 '0*2'
  NUM(TERMINAL[0])
  pl@nereida:~/LEyapp/examples/MatchingTrees$ numchildren.pl 1 '0*2'
  TIMES(NUM(TERMINAL[0]),NUM(TERMINAL[2]))
  pl@nereida:~/LEyapp/examples/MatchingTrees$ numchildren.pl 2 '0*2'
  Warning! found node TIMES with 2 children.
  Expected 1 children (see line 15 of ./numchildren.pl)"
  TIMES(NUM(TERMINAL[0]),NUM(TERMINAL[2]))
  pl@nereida:~/LEyapp/examples/MatchingTrees$ numchildren.pl 3 '0*2'
  Error! found node TIMES with 2 children.
  Expected 1 children (see line 15 of ./numchildren.pl)"
   at (eval 3) line 29

Tree Substitution: The s methods

Both Parse::Eyapp:Node and Parse::Eyapp::YATW objects (i.e. nodes and tree transformations) are provided with a s method.

In the case of a Parse::Eyapp::YATW object the method s applies the tree transformation using a single bottom-up traversing: the transformation is recursively applied to the children and then to the current node.

For Parse::Eyapp:Node nodes the set of transformations is applied to each node until no transformation matches any more. The example in the section "SYNOPSIS" in Parse::Eyapp::Node illustrates the use:

  1  # Let us transform the tree. Define the tree-regular expressions ..
  2  my $p = Parse::Eyapp::Treeregexp->new( STRING => q{
  3    { #  Example of support code
  4      my %Op = (PLUS=>'+', MINUS => '-', TIMES=>'*', DIV => '/');
  5    }
  6    constantfold: /TIMES|PLUS|DIV|MINUS/:bin(NUM($x), NUM($y))
  7      => {
  8        my $op = $Op{ref($_[0])};
  9        $x->{attr} = eval  "$x->{attr} $op $y->{attr}";
 10        $_[0] = $NUM[0];
 11      }
 12    uminus: UMINUS(NUM($x)) => { $x->{attr} = -$x->{attr}; $_[0] = $NUM }
 13    zero_times_whatever: TIMES(NUM($x), .) and { $x->{attr} == 0 } => { $_[0] = $NUM }
 14    whatever_times_zero: TIMES(., NUM($x)) and { $x->{attr} == 0 } => { $_[0] = $NUM }
 15    },
 16    OUTPUTFILE=> 'main.pm'
 17  );
 18  $p->generate(); # Create the tranformations
 19 
 20  $t->s($uminus); # Transform UMINUS nodes
 21  $t->s(@all);    # constant folding and mult. by zero

The call at line 20 can be substituted by $uminus->s($t) without changes.

SEE ALSO ^

REFERENCES ^

CONTRIBUTORS ^

AUTHOR ^

Casiano Rodriguez-Leon (casiano@ull.es)

ACKNOWLEDGMENTS ^

This work has been supported by CEE (FEDER) and the Spanish Ministry of Educacion y Ciencia through Plan Nacional I+D+I number TIN2005-08818-C04-04 (ULL::OPLINK project http://www.oplink.ull.es/). Support from Gobierno de Canarias was through GC02210601 (Grupos Consolidados). The University of La Laguna has also supported my work in many ways and for many years.

A large percentage of code is verbatim taken from Parse::Yapp 1.05. The author of Parse::Yapp is Francois Desarmenien.

I wish to thank Francois Desarmenien for his Parse::Yapp module, to my students at La Laguna and to the Perl Community. Thanks to the people who have contributed to improve the module (see "CONTRIBUTORS" in Parse::Eyapp). Thanks to Larry Wall for giving us Perl. Special thanks to Juana.

LICENCE AND COPYRIGHT ^

Copyright (c) 2006-2008 Casiano Rodriguez-Leon (casiano@ull.es). All rights reserved.

Parse::Yapp copyright is of Francois Desarmenien, all rights reserved. 1998-2001

These modules are free software; you can redistribute it and/or modify it under the same terms as Perl itself. See perlartistic.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

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