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<h2 id="sec:DCG"><a id="sec:4.12"><span class="sec-nr">4.12</span> <span class="sec-title">DCG 
Grammar rules</span></a></h2>

<a id="sec:DCG"></a>

<p><a id="idx:DCG:701"></a><a id="idx:serialize:702"></a><a id="idx:deserialize:703"></a>Grammar 
rules form a comfortable interface to <em>difference lists</em>. They 
are designed both to support writing parsers that build a parse tree 
from a list of characters or tokens and for generating a flat list from 
a term.

<p>Grammar rules look like ordinary clauses using <code><code>--&gt;</code>/2</code> 
for separating the head and body rather than <code><code>:-</code>/2</code>. 
Expanding grammar rules is done by <a id="idx:expandterm2:704"></a><a class="pred" href="consulting.html#expand_term/2">expand_term/2</a>, 
which adds two additional arguments to each term for representing the 
difference list.

<p>The body of a grammar rule can contain three types of terms. A 
callable term is interpreted as a reference to a grammar rule. Code 
between
<code>{</code>...<code>}</code> is interpreted as plain Prolog code, and 
finally, a list is interpreted as a sequence of <em>literals</em>. The 
Prolog control-constructs (<code><code>\+</code>/1</code>, <code><code>-&gt;</code>/2</code>, <code><code>;</code>/<code>;</code></code>2,
<code><code>,</code>/2</code> and <code><code>!</code>/0</code>) can be 
used in grammar rules.

<p>We illustrate the behaviour by defining a rule set for parsing an 
integer.

<pre class="code">
integer(I) --&gt;
        digit(D0),
        digits(D),
        { number_codes(I, [D0|D])
        }.

digits([D|T]) --&gt;
        digit(D), !,
        digits(T).
digits([]) --&gt;
        [].

digit(D) --&gt;
        [D],
        { code_type(D, digit)
        }.
</pre>

<p>Grammar rule sets are called using the built-in predicates <a id="idx:phrase2:705"></a><a class="pred" href="DCG.html#phrase/2">phrase/2</a> 
and <a id="idx:phrase3:706"></a><a class="pred" href="DCG.html#phrase/3">phrase/3</a>:

<dl class="latex">
<dt class="pubdef"><a id="phrase/2"><strong>phrase</strong>(<var>:DCGBody, 
?List</var>)</a></dt>
<dd class="defbody">
Equivalent to <code>phrase(<var>DCGBody</var>, <var>InputList</var>, [])</code>.
</dd>
<dt class="pubdef"><a id="phrase/3"><strong>phrase</strong>(<var>:DCGBody, 
?List, ?Rest</var>)</a></dt>
<dd class="defbody">
True when <var>DCGBody</var> applies to the difference
<var>List</var>/<var>Rest</var>. Although <var>DCGBody</var> is 
typically a
<em>callable</em> term that denotes a grammar rule, it can be any term 
that is valid as the body of a DCG rule.

<p>The example below calls the rule set <a id="idx:integer1:707"></a><span class="pred-ext">integer/3</span> 
defined in <a class="sec" href="DCG.html">section 4.12</a> and available 
from <code>library(library(dcg/basics))</code>, binding <var>Rest</var> 
to the remainder of the input after matching the integer.

<pre class="code">
?- [library(dcg/basics)].
?- atom_codes('42 times', Codes),
   phrase(integer(X), Codes, Rest).
X = 42
Rest = [32, 116, 105, 109, 101, 115]
</pre>

<p>The next example exploits a complete body. Given the following 
definition of digit_weight//1 , we can pose the query below.

<pre class="code">
digit_weight(W) --&gt;
        [D],
        { code_type(D, digit(W)) }.
</pre>

<pre class="code">
?- atom_codes('Version 3.4', Codes),
   phrase(("Version ",
           digit_weight(Major),".",digit_weight(Minor)),
          Codes).
Major = 3,
Minor = 4.
</pre>

<p>The SWI-Prolog implementation of <a id="idx:phrase3:708"></a><a class="pred" href="DCG.html#phrase/3">phrase/3</a> 
verifies that the <var>List</var> and <var>Rest</var> arguments are 
unbound, bound to the empty list or a list
<em>cons cell</em>. Other values raise a type error.<sup class="fn">59<span class="fn-text">The 
ISO standard allows for both raising a type error and accepting any term 
as input and output. Note the tail of the list is not checked for 
performance reasons.</span></sup> The predicate <a id="idx:calldcg3:709"></a><a class="pred" href="DCG.html#call_dcg/3">call_dcg/3</a> 
is provided to use grammar rules with terms that are not lists.

<p>Note that the syntax for lists of codes changed in SWI-Prolog version&nbsp;7 
(see <a class="sec" href="strings.html">section 5.2</a>). If a DCG body 
is translated, both <code>"text"</code> and <code>`text`</code> is a 
valid code-list literal in version&nbsp;7. A version&nbsp;7 string (<code>"text"</code>) 
is <b>not</b> acceptable for the second and third arguments of <a id="idx:phrase3:710"></a><a class="pred" href="DCG.html#phrase/3">phrase/3</a>. 
This is typically not a problem for applications as the input of a DCG 
rarely appears in the source code. For testing in the toplevel, one must 
use double quoted text in versions prior to&nbsp;7 and back quoted text 
in version&nbsp;7 or later.

<p>See also <a id="idx:portraytext1:711"></a><span class="pred-ext">portray_text/1</span>, 
which can be used to print lists of character codes as a string to the 
top level and debugger to facilitate debugging DCGs that process 
character codes. The library <code>library(apply_macros)</code> compiles <a id="idx:phrase3:712"></a><a class="pred" href="DCG.html#phrase/3">phrase/3</a> 
if the argument is sufficiently instantiated, eliminating the runtime 
overhead of translating <var>DCGBody</var> and meta-calling.</dd>
<dt class="pubdef"><a id="call_dcg/3"><strong>call_dcg</strong>(<var>:DCGBody, 
?State0, ?State</var>)</a></dt>
<dd class="defbody">
As <a id="idx:phrase3:713"></a><a class="pred" href="DCG.html#phrase/3">phrase/3</a>, 
but without type checking <var>State0</var> and <var>State</var>. This 
allows for using DCG rules for threading an arbitrary state variable. 
This predicate was introduced after type checking was added to
<a id="idx:phrase3:714"></a><a class="pred" href="DCG.html#phrase/3">phrase/3</a>.<sup class="fn">60<span class="fn-text">After 
discussion with Samer Abdallah.</span></sup>

<p>A portable solution for threading state through a DCG can be 
implemented by wrapping the state in a list and use the DCG push-back 
facility. Subsequently, the following predicates may be used to access 
and modify the state:<sup class="fn">61<span class="fn-text">This 
solutio was proposed by Markus Triska.</span></sup>

<pre class="code">
state(S), [S] --&gt; [S].
state(S0, S), [S] --&gt; [S0].
</pre>

<p></dd>
</dl>

<p>As stated above, grammar rules are a general interface to difference 
lists. To illustrate, we show a DCG-based implementation of
<a id="idx:reverse2:715"></a><a class="pred" href="lists.html#reverse/2">reverse/2</a>:

<pre class="code">
reverse(List, Reversed) :-
        phrase(reverse(List), Reversed).

reverse([])    --&gt; [].
reverse([H|T]) --&gt; reverse(T), [H].
</pre>

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