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1 [/==============================================================================
2 Copyright (C) 2001-2010 Joel de Guzman
3 Copyright (C) 2001-2005 Dan Marsden
4 Copyright (C) 2001-2010 Thomas Heller
5
6 Distributed under the Boost Software License, Version 1.0. (See accompanying
7 file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
8 ===============================================================================/]
9
10 [section Transforming the Expression Tree]
11
12 This example will show how to write __phoenix_actions__ that transform the
13 Phoenix AST.
14
15 [:
16 "/Lisp macros transform the program structure itself, with the full language
17 available to express such transformations./"
18
19 [@http://en.wikipedia.org/wiki/Lisp_macro#Lisp_macros Wikipedia]
20 ]
21
22 What we want to do is to invert some arithmetic operators, i.e. plus will be
23 transformed to minus, minus to plus, multiplication to division and division to
24 multiplication.
25
26 Let's start with defining our default action:
27
28 struct invert_actions
29 {
30 template <typename Rule>
31 struct when
32 : proto::_ // the default is proto::_
33 {};
34 };
35
36 By default, we don't want to do anything, well, not exactly nothing, but just
37 return the expression. This is done by
38 [@http://www.boost.org/doc/libs/release/doc/html/boost/proto/_.html proto::_]
39 which, used as a transform, just passes the current expression along. Making this
40 action an identity transform.
41
42 [def __proto_make_expr__ [@http://www.boost.org/doc/libs/release/doc/html/boost/proto/functional/make_expr.html `proto::functional::make_expr`]]
43
44 So, after the basics are set up, we can start by writing the transformations we
45 want to have on our tree:
46
47 // Transform plus to minus
48 template <>
49 struct invert_actions::when<phoenix::rule::plus>
50 : __proto_call__<
51 __proto_make_expr__<proto::tag::minus>(
52 phoenix::evaluator(proto::_left, phoenix::_context)
53 , phoenix::evaluator(proto::_right, phoenix::_context)
54 )
55 >
56 {};
57
58 Wow, this looks complicated! Granted you need to know a little bit about __proto__
59 (For a good introduction read through the
60 [@http://cpp-next.com/archive/2010/08/expressive-c-introduction/ Expressive C++] series).
61
62 What is done is the following:
63
64 * The left expression is passed to evaluator (with the current context, that contains our invert_actions)
65 * The right expression is passed to evaluator (with the current context, that contains our invert_actions)
66 * The result of these two __proto_transforms__ is passed to __proto_make_expr__ which returns the freshly created expression
67
68 After you know what is going on, maybe the rest doesn't look so scary anymore:
69
70 // Transform minus to plus
71 template <>
72 struct invert_actions::when<phoenix::rule::minus>
73 : __proto_call__<
74 __proto_make_expr__<proto::tag::plus>(
75 phoenix::evaluator(proto::_left, phoenix::_context)
76 , phoenix::evaluator(proto::_right, phoenix::_context)
77 )
78 >
79 {};
80
81 // Transform multiplies to divides
82 template <>
83 struct invert_actions::when<phoenix::rule::multiplies>
84 : __proto_call__<
85 __proto_make_expr__<proto::tag::divides>(
86 phoenix::evaluator(proto::_left, phoenix::_context)
87 , phoenix::evaluator(proto::_right, phoenix::_context)
88 )
89 >
90 {};
91
92 // Transform divides to multiplies
93 template <>
94 struct invert_actions::when<phoenix::rule::divides>
95 : __proto_call__<
96 __proto_make_expr__<proto::tag::multiplies>(
97 phoenix::evaluator(proto::_left, phoenix::_context)
98 , phoenix::evaluator(proto::_right, phoenix::_context)
99 )
100 >
101 {};
102
103 That's it! Now that we have our actions defined, we want to evaluate some of our expressions with them:
104
105 template <typename Expr>
106 // Calculate the result type: our transformed AST
107 typename boost::result_of<
108 phoenix::evaluator(
109 Expr const&
110 , phoenix::result_of::context<int, invert_actions>::type
111 )
112 >::type
113 invert(Expr const & expr)
114 {
115 return
116 // Evaluate it with our actions
117 phoenix::eval(
118 expr
119 , phoenix::context(
120 int()
121 , invert_actions()
122 )
123 );
124 }
125
126 Run some tests to see if it is working:
127
128 invert(_1); // --> _1
129 invert(_1 + _2); // --> _1 - _2
130 invert(_1 + _2 - _3); // --> _1 - _2 + _3
131 invert(_1 * _2); // --> _1 / _2
132 invert(_1 * _2 / _3); // --> _1 / _2 * _3
133 invert(_1 * _2 + _3); // --> _1 / _2 - _3
134 invert(_1 * _2 - _3); // --> _1 / _2 + _2
135 invert(if_(_1 * _4)[_2 - _3]); // --> if_(_1 / _4)[_2 + _3]
136 _1 * invert(_2 - _3)); // --> _1 * _2 + _3
137
138 __note__ The complete example can be found here: [@../../example/invert.cpp example/invert.cpp]
139
140 /Pretty simple .../
141
142 [endsect]