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<ul class="crumbs"><li><a href="../index.html">Home</a></li><li><a href="../compiler.html">Services</a></li><li><a href="index.html">linguistics</a></li><li><a href="index.html#2">Chapter 2: Grammatical Categories I</a></li><li><b>Cardinals and Ordinals</b></li></ul></div>
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<p class="purpose">To parse integers seen from a grammatical point of view.</p>
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<ul class="toc"><li><a href="2-cao.html#SP1">&#167;1. Cardinal and ordinal numbers</a></li></ul><hr class="tocbar">
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<p class="commentary firstcommentary"><a id="SP1"></a><b>&#167;1. Cardinal and ordinal numbers. </b>We read a few low numbers in text, but larger numbers only in digits. Textual
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numbers run from 0 to 12 since that's what clocks need.
</p>
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<p class="commentary">By a cardinal we mean a number such as <span class="extract"><span class="extract-syntax">five</span></span> or <span class="extract"><span class="extract-syntax">351</span></span>.
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</p>
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<pre class="Preform-displayed-code all-displayed-code code-font">
<span class="Preform-function-syntax">&lt;cardinal-number-in-words&gt;</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">::=</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">zero</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">one</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">two</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">three</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">four</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">five</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">six</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">seven</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">eight</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">nine</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">ten</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">eleven</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">twelve</span>
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</pre>
<ul class="endnotetexts"><li>This is <a href="../words-module/4-ap.html" class="internal">Preform grammar</a>, not regular C code.</li></ul>
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<p class="commentary firstcommentary"><a id="SP2"></a><b>&#167;2. </b>And by an ordinal we mean a number such as <span class="extract"><span class="Preform-extract-syntax">fifth</span></span> or <span class="extract"><span class="Preform-extract-syntax">351st</span></span>; note that
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this is not a noun, and isn't allowed as a constant value in Inform.
</p>
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<pre class="Preform-displayed-code all-displayed-code code-font">
<span class="Preform-function-syntax">&lt;ordinal-number-in-words&gt;</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">::=</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">zeroth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">first</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">second</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">third</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">fourth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">fifth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">sixth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">seventh</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">eighth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">ninth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">tenth</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">eleventh</span><span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">|</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">twelfth</span>
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</pre>
<ul class="endnotetexts"><li>This is <a href="../words-module/4-ap.html" class="internal">Preform grammar</a>, not regular C code.</li></ul>
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<p class="commentary firstcommentary"><a id="SP3"></a><b>&#167;3. </b>Those two nonterminals here simply supply text: for efficiency reasons we
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don't actually parse them, although they would give the correct response if
we did. Instead they're scanned for words which are marked with the appropriate
numbers.
</p>
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<pre class="displayed-code all-displayed-code code-font">
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Cardinals::preform_optimiser</span><button class="popup" onclick="togglePopup('usagePopup1')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup1">Usage of <span class="code-font"><span class="function-syntax">Cardinals::preform_optimiser</span></span>:<br/>Linguistics Module - <a href="1-lm.html#SP5">&#167;5</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">void</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">NTI::every_word_in_match_must_have_my_NTI_bit</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;cardinal-number&gt;</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">NTI::every_word_in_match_must_have_my_NTI_bit</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;ordinal-number&gt;</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">for</span><span class="plain-syntax"> (</span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">wn</span><span class="plain-syntax"> = </span><span class="constant-syntax">0</span><span class="plain-syntax">; </span><span class="identifier-syntax">wn</span><span class="plain-syntax"> &lt; </span><span class="identifier-syntax">lexer_wordcount</span><span class="plain-syntax">; </span><span class="identifier-syntax">wn</span><span class="plain-syntax">++) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">Vocabulary::test_flags</span><span class="plain-syntax">(</span><span class="identifier-syntax">wn</span><span class="plain-syntax">, </span><span class="identifier-syntax">NUMBER_MC</span><span class="plain-syntax">))</span>
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<span class="plain-syntax"> </span><a href="2-cao.html#SP3" class="function-link"><span class="function-syntax">Cardinals::mark_as_cardinal</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">Lexer::word</span><span class="plain-syntax">(</span><span class="identifier-syntax">wn</span><span class="plain-syntax">));</span>
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<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">Vocabulary::test_flags</span><span class="plain-syntax">(</span><span class="identifier-syntax">wn</span><span class="plain-syntax">, </span><span class="identifier-syntax">ORDINAL_MC</span><span class="plain-syntax">))</span>
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<span class="plain-syntax"> </span><a href="2-cao.html#SP3" class="function-link"><span class="function-syntax">Cardinals::mark_as_ordinal</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">Lexer::word</span><span class="plain-syntax">(</span><span class="identifier-syntax">wn</span><span class="plain-syntax">));</span>
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<span class="plain-syntax"> }</span>
<span class="plain-syntax">}</span>
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<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Cardinals::mark_as_cardinal</span><span class="plain-syntax">(</span><span class="identifier-syntax">vocabulary_entry</span><span class="plain-syntax"> *</span><span class="identifier-syntax">ve</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">NTI::mark_vocabulary</span><span class="plain-syntax">(</span><span class="identifier-syntax">ve</span><span class="plain-syntax">, </span><span class="function-syntax">&lt;cardinal-number&gt;</span><span class="plain-syntax">);</span>
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<span class="plain-syntax">}</span>
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<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Cardinals::mark_as_ordinal</span><span class="plain-syntax">(</span><span class="identifier-syntax">vocabulary_entry</span><span class="plain-syntax"> *</span><span class="identifier-syntax">ve</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">NTI::mark_vocabulary</span><span class="plain-syntax">(</span><span class="identifier-syntax">ve</span><span class="plain-syntax">, </span><span class="function-syntax">&lt;ordinal-number&gt;</span><span class="plain-syntax">);</span>
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<span class="plain-syntax">}</span>
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<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Cardinals::enable_in_word_form</span><button class="popup" onclick="togglePopup('usagePopup2')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup2">Usage of <span class="code-font"><span class="function-syntax">Cardinals::enable_in_word_form</span></span>:<br/>Linguistics Module - <a href="1-lm.html#SP3">&#167;3</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">void</span><span class="plain-syntax">) {</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">NTI::give_nt_reserved_incidence_bit</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;cardinal-number&gt;</span><span class="plain-syntax">, </span><span class="identifier-syntax">CARDINAL_RES_NT_BIT</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">NTI::give_nt_reserved_incidence_bit</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;ordinal-number&gt;</span><span class="plain-syntax">, </span><span class="identifier-syntax">ORDINAL_RES_NT_BIT</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">Nonterminals::make_numbering</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;cardinal-number-in-words&gt;</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Nonterminals::flag_words_with</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;cardinal-number-in-words&gt;</span><span class="plain-syntax">, </span><span class="identifier-syntax">NUMBER_MC</span><span class="plain-syntax">);</span>
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<span class="plain-syntax"> </span><span class="identifier-syntax">Nonterminals::make_numbering</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;ordinal-number-in-words&gt;</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Nonterminals::flag_words_with</span><span class="plain-syntax">(</span><span class="function-syntax">&lt;ordinal-number-in-words&gt;</span><span class="plain-syntax">, </span><span class="identifier-syntax">ORDINAL_MC</span><span class="plain-syntax">);</span>
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<span class="plain-syntax">}</span>
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</pre>
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<p class="commentary firstcommentary"><a id="SP4"></a><b>&#167;4. </b>Actual parsing is done here. We look at a single word to see if it's a
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number literal: either one of the named cases above, or a number written out
in decimal digits, perhaps with a minus sign.
</p>
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<pre class="Preform-displayed-code all-displayed-code code-font">
<span class="Preform-function-syntax">&lt;cardinal-number&gt;</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">internal</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">1</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">{</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">if</span><span class="Preform-plain-syntax"> (</span><span class="Preform-identifier-syntax">Vocabulary::test_flags</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Wordings::first_wn</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">W</span><span class="Preform-plain-syntax">), </span><span class="Preform-identifier-syntax">NUMBER_MC</span><span class="Preform-plain-syntax">)) {</span>
<span class="Preform-plain-syntax"> *</span><span class="Preform-identifier-syntax">X</span><span class="Preform-plain-syntax"> = </span><span class="Preform-identifier-syntax">Vocabulary::get_literal_number_value</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Lexer::word</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Wordings::first_wn</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">W</span><span class="Preform-plain-syntax">)));</span>
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<span class="Preform-plain-syntax"> </span><span class="named-paragraph-container code-font"><a href="2-cao.html#SP4_1" class="named-paragraph-link"><span class="named-paragraph">In Inform 7 only, check that the number is representable in the VM</span><span class="named-paragraph-number">4.1</span></a></span><span class="Preform-plain-syntax">;</span>
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<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">return</span><span class="Preform-plain-syntax"> </span><span class="Preform-identifier-syntax">TRUE</span><span class="Preform-plain-syntax">;</span>
<span class="Preform-plain-syntax"> }</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">return</span><span class="Preform-plain-syntax"> </span><span class="Preform-identifier-syntax">FALSE</span><span class="Preform-plain-syntax">;</span>
<span class="Preform-plain-syntax">}</span>
<span class="Preform-function-syntax">&lt;ordinal-number&gt;</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">internal</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">1</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">{</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">if</span><span class="Preform-plain-syntax"> (</span><span class="Preform-identifier-syntax">Vocabulary::test_flags</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Wordings::first_wn</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">W</span><span class="Preform-plain-syntax">), </span><span class="Preform-identifier-syntax">ORDINAL_MC</span><span class="Preform-plain-syntax">)) {</span>
<span class="Preform-plain-syntax"> *</span><span class="Preform-identifier-syntax">X</span><span class="Preform-plain-syntax"> = </span><span class="Preform-identifier-syntax">Vocabulary::get_literal_number_value</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Lexer::word</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Wordings::first_wn</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">W</span><span class="Preform-plain-syntax">)));</span>
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<span class="Preform-plain-syntax"> </span><span class="named-paragraph-container code-font"><a href="2-cao.html#SP4_1" class="named-paragraph-link"><span class="named-paragraph">In Inform 7 only, check that the number is representable in the VM</span><span class="named-paragraph-number">4.1</span></a></span><span class="Preform-plain-syntax">;</span>
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<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">return</span><span class="Preform-plain-syntax"> </span><span class="Preform-identifier-syntax">TRUE</span><span class="Preform-plain-syntax">;</span>
<span class="Preform-plain-syntax"> }</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">return</span><span class="Preform-plain-syntax"> </span><span class="Preform-identifier-syntax">FALSE</span><span class="Preform-plain-syntax">;</span>
<span class="Preform-plain-syntax">}</span>
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</pre>
<ul class="endnotetexts"><li>This is <a href="../words-module/4-ap.html" class="internal">Preform grammar</a>, not regular C code.</li></ul>
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<p class="commentary firstcommentary"><a id="SP4_1"></a><b>&#167;4.1. </b>These mustn't match any number too large to fit into the virtual machine
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being compiled to, so "42000", for instance, is not a valid literal if Inform
is parsing text in a work intended for the 16-bit Z-machine.
</p>
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<p class="commentary">Why do we catch this here? The answer is probably that it's an excess of
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caution, but this is a rare case where the choice of virtual machine affects
the legal syntax for Inform source text &mdash; text originally written for use on
Glulx, which allows for larger integers, might be moved over to a Z-machine
project, with the user not realising the consequences.
</p>
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<p class="commentary"><span class="named-paragraph-container code-font"><span class="named-paragraph-defn">In Inform 7 only, check that the number is representable in the VM</span><span class="named-paragraph-number">4.1</span></span><span class="Preform-comment-syntax"> =</span>
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</p>
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<pre class="displayed-code all-displayed-code code-font">
<span class="plain-syntax"> #</span><span class="identifier-syntax">ifdef</span><span class="plain-syntax"> </span><span class="identifier-syntax">CORE_MODULE</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><span class="identifier-syntax">FundamentalConstants::veto_number</span><span class="plain-syntax">(*</span><span class="identifier-syntax">X</span><span class="plain-syntax">)) {</span>
<span class="plain-syntax"> </span><span class="comment-syntax"> to prevent repetitions:</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Vocabulary::set_literal_number_value</span><span class="plain-syntax">(</span><span class="identifier-syntax">Lexer::word</span><span class="plain-syntax">(</span><span class="identifier-syntax">Wordings::first_wn</span><span class="plain-syntax">(</span><span class="identifier-syntax">W</span><span class="plain-syntax">)), </span><span class="constant-syntax">1</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> #</span><span class="identifier-syntax">endif</span>
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</pre>
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<ul class="endnotetexts"><li>This code is used in <a href="2-cao.html#SP4">&#167;4</a> (twice).</li></ul>
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<p class="commentary firstcommentary"><a id="SP5"></a><b>&#167;5. </b>A small variation which lifts this restriction on the number range:
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</p>
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<pre class="Preform-displayed-code all-displayed-code code-font">
<span class="Preform-function-syntax">&lt;cardinal-number-unlimited&gt;</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">internal</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">1</span><span class="Preform-plain-syntax"> </span><span class="Preform-constant-syntax">{</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">if</span><span class="Preform-plain-syntax"> (</span><span class="Preform-identifier-syntax">Vocabulary::test_flags</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Wordings::first_wn</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">W</span><span class="Preform-plain-syntax">), </span><span class="Preform-identifier-syntax">NUMBER_MC</span><span class="Preform-plain-syntax">)) {</span>
<span class="Preform-plain-syntax"> *</span><span class="Preform-identifier-syntax">X</span><span class="Preform-plain-syntax"> = </span><span class="Preform-identifier-syntax">Vocabulary::get_literal_number_value</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Lexer::word</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">Wordings::first_wn</span><span class="Preform-plain-syntax">(</span><span class="Preform-identifier-syntax">W</span><span class="Preform-plain-syntax">)));</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">return</span><span class="Preform-plain-syntax"> </span><span class="Preform-identifier-syntax">TRUE</span><span class="Preform-plain-syntax">;</span>
<span class="Preform-plain-syntax"> }</span>
<span class="Preform-plain-syntax"> </span><span class="Preform-reserved-syntax">return</span><span class="Preform-plain-syntax"> </span><span class="Preform-identifier-syntax">FALSE</span><span class="Preform-plain-syntax">;</span>
<span class="Preform-plain-syntax">}</span>
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</pre>
<ul class="endnotetexts"><li>This is <a href="../words-module/4-ap.html" class="internal">Preform grammar</a>, not regular C code.</li></ul>
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