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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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<title>Floating-Point Values</title>
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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">kinds</a></li><li><a href="index.html#3">Chapter 3: Arithmetic</a></li><li><b>Floating-Point Values</b></li></ul></div>
<p class="purpose">To cope with promotions from integer to floating-point arithmetic.</p>
<p class="commentary firstcommentary"><a id="SP1"></a><b>&#167;1. </b>If we do have floating-point arithmetic available, we need to be able to
play off between real and integer versions of the same kind &mdash; for example,
using real arithmetic to approximately carry out integer calculations, or vice
versa.
</p>
<pre class="displayed-code all-displayed-code code-font">
<span class="reserved-syntax">typedef</span><span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">struct</span><span class="plain-syntax"> </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">valid_kind</span><span class="plain-syntax">; </span><span class="comment-syntax"> must be non-null</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="identifier-syntax">promotion</span><span class="plain-syntax">; </span><span class="comment-syntax"> </span><span class="extract"><span class="extract-syntax">0</span></span><span class="comment-syntax"> for no change, </span><span class="extract"><span class="extract-syntax">1</span></span><span class="comment-syntax"> for "a real version", </span><span class="extract"><span class="extract-syntax">-1</span></span><span class="comment-syntax"> for "an int version"</span>
<span class="plain-syntax">} </span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax">;</span>
</pre>
<ul class="endnotetexts"><li>The structure generalised_kind is private to this section.</li></ul>
<p class="commentary firstcommentary"><a id="SP2"></a><b>&#167;2. </b></p>
<pre class="displayed-code all-displayed-code code-font">
<span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::new_gk</span><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</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">K</span><span class="plain-syntax"> == </span><span class="identifier-syntax">NULL</span><span class="plain-syntax">) </span><span class="identifier-syntax">internal_error</span><span class="plain-syntax">(</span><span class="string-syntax">"can't generalise the null kind"</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax"> = </span><span class="identifier-syntax">K</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> = </span><span class="constant-syntax">0</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">gK</span><span class="plain-syntax">;</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::log_gk</span><span class="plain-syntax">(</span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">LOG</span><span class="plain-syntax">(</span><span class="string-syntax">"%u"</span><span class="plain-syntax">, </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</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">gK</span><span class="plain-syntax">.</span><span class="identifier-syntax">promotion</span><span class="plain-syntax"> == </span><span class="constant-syntax">1</span><span class="plain-syntax">) { </span><span class="identifier-syntax">LOG</span><span class="plain-syntax">(</span><span class="string-syntax">"=&gt;real"</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">gK</span><span class="plain-syntax">.</span><span class="identifier-syntax">promotion</span><span class="plain-syntax"> == -1) { </span><span class="identifier-syntax">LOG</span><span class="plain-syntax">(</span><span class="string-syntax">"=&gt;int"</span><span class="plain-syntax">); }</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="function-syntax">Kinds::FloatingPoint::underlying</span><span class="plain-syntax">(</span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</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">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax">;</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::is_real</span><span class="plain-syntax">(</span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</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">gK</span><span class="plain-syntax">.</span><span class="identifier-syntax">promotion</span><span class="plain-syntax"> == </span><span class="constant-syntax">1</span><span class="plain-syntax">) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP3" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::uses_floating_point</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax">)) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">TRUE</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="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::to_integer</span><span class="plain-syntax">(</span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP2" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::is_real</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</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">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> == </span><span class="constant-syntax">1</span><span class="plain-syntax">) </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> = </span><span class="constant-syntax">0</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">else</span><span class="plain-syntax"> {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax"> = </span><a href="3-fv.html#SP3" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::integer_equivalent</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP3" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::uses_floating_point</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) == </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">) </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax"> = </span><span class="identifier-syntax">K</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">else</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> = -1;</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP2" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::is_real</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</span><span class="plain-syntax">))</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">internal_error</span><span class="plain-syntax">(</span><span class="string-syntax">"gK inconsistent"</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">gK</span><span class="plain-syntax">;</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::to_real</span><span class="plain-syntax">(</span><span class="reserved-syntax">generalised_kind</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP2" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::is_real</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</span><span class="plain-syntax">) == </span><span class="identifier-syntax">FALSE</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">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> == -1) </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> = </span><span class="constant-syntax">0</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">else</span><span class="plain-syntax"> {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax"> = </span><a href="3-fv.html#SP3" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::real_equivalent</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP3" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::uses_floating_point</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">)) </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">valid_kind</span><span class="plain-syntax"> = </span><span class="identifier-syntax">K</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">else</span><span class="plain-syntax"> </span><span class="identifier-syntax">gK</span><span class="plain-syntax">.</span><span class="element-syntax">promotion</span><span class="plain-syntax"> = </span><span class="constant-syntax">1</span><span class="plain-syntax">;</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="3-fv.html#SP2" class="function-link"><span class="function-syntax">Kinds::FloatingPoint::is_real</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">gK</span><span class="plain-syntax">) == </span><span class="identifier-syntax">FALSE</span><span class="plain-syntax">)</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">internal_error</span><span class="plain-syntax">(</span><span class="string-syntax">"gK inconsistent"</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">gK</span><span class="plain-syntax">;</span>
<span class="plain-syntax">}</span>
</pre>
<p class="commentary firstcommentary"><a id="SP3"></a><b>&#167;3. </b></p>
<pre class="displayed-code all-displayed-code code-font">
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::begin_flotation</span><span class="plain-syntax">(</span><span class="identifier-syntax">OUTPUT_STREAM</span><span class="plain-syntax">, </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">) </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"REAL_NUMBER_TY_Divide("</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"NUMBER_TY_to_REAL_NUMBER_TY"</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"("</span><span class="plain-syntax">);</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::end_flotation</span><span class="plain-syntax">(</span><span class="identifier-syntax">OUTPUT_STREAM</span><span class="plain-syntax">, </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">")"</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">)</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">", NUMBER_TY_to_REAL_NUMBER_TY(%d))"</span><span class="plain-syntax">,</span>
<span class="plain-syntax"> </span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">));</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::begin_deflotation</span><span class="plain-syntax">(</span><span class="identifier-syntax">OUTPUT_STREAM</span><span class="plain-syntax">, </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"REAL_NUMBER_TY_to_NUMBER_TY("</span><span class="plain-syntax">);</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">) </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">"REAL_NUMBER_TY_Times("</span><span class="plain-syntax">);</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::end_deflotation</span><span class="plain-syntax">(</span><span class="identifier-syntax">OUTPUT_STREAM</span><span class="plain-syntax">, </span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">)</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">", NUMBER_TY_to_REAL_NUMBER_TY(%d))"</span><span class="plain-syntax">,</span>
<span class="plain-syntax"> </span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">WRITE</span><span class="plain-syntax">(</span><span class="string-syntax">")"</span><span class="plain-syntax">);</span>
<span class="plain-syntax">}</span>
<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="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::begin_flotation_emit</span><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::inv_call_iname</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">Hierarchy::find</span><span class="plain-syntax">(</span><span class="identifier-syntax">REAL_NUMBER_TY_DIVIDE_HL</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::down</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::inv_call_iname</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">Hierarchy::find</span><span class="plain-syntax">(</span><span class="identifier-syntax">NUMBER_TY_TO_REAL_NUMBER_TY_HL</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::down</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::end_flotation_emit</span><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::up</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::inv_call_iname</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">Hierarchy::find</span><span class="plain-syntax">(</span><span class="identifier-syntax">NUMBER_TY_TO_REAL_NUMBER_TY_HL</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::down</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::val</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">K_number</span><span class="plain-syntax">, </span><span class="identifier-syntax">LITERAL_IVAL</span><span class="plain-syntax">, (</span><span class="identifier-syntax">inter_ti</span><span class="plain-syntax">) </span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::up</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::up</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::begin_deflotation_emit</span><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::inv_call_iname</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">Hierarchy::find</span><span class="plain-syntax">(</span><span class="identifier-syntax">REAL_NUMBER_TY_TO_NUMBER_TY_HL</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::down</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::inv_call_iname</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">Hierarchy::find</span><span class="plain-syntax">(</span><span class="identifier-syntax">REAL_NUMBER_TY_TIMES_HL</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::down</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">void</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::end_deflotation_emit</span><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">) != </span><span class="constant-syntax">1</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::inv_call_iname</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">Hierarchy::find</span><span class="plain-syntax">(</span><span class="identifier-syntax">REAL_NUMBER_TY_TO_NUMBER_TY_HL</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::down</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::val</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">(), </span><span class="identifier-syntax">K_number</span><span class="plain-syntax">, </span><span class="identifier-syntax">LITERAL_IVAL</span><span class="plain-syntax">, (</span><span class="identifier-syntax">inter_ti</span><span class="plain-syntax">) </span><a href="2-uk.html#SP19" class="function-link"><span class="function-syntax">Kinds::Behaviour::scale_factor</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">));</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::up</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::up</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax"> }</span>
<span class="plain-syntax"> </span><span class="identifier-syntax">Produce::up</span><span class="plain-syntax">(</span><span class="identifier-syntax">Emit::tree</span><span class="plain-syntax">());</span>
<span class="plain-syntax">}</span>
<span class="plain-syntax">#</span><span class="identifier-syntax">endif</span>
<span class="reserved-syntax">int</span><span class="plain-syntax"> </span><span class="function-syntax">Kinds::FloatingPoint::uses_floating_point</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">Kinds::FloatingPoint::uses_floating_point</span></span>:<br/><a href="3-fv.html#SP2">&#167;2</a><br/>Kind Checking - <a href="2-kc.html#SP11">&#167;11</a><br/>Using Kinds - <a href="2-uk.html#SP18">&#167;18</a><br/>Dimensions - <a href="3-dmn.html#SP39_2">&#167;39.2</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</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">K</span><span class="plain-syntax"> == </span><span class="identifier-syntax">NULL</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="reserved-syntax">return</span><span class="plain-syntax"> </span><a href="2-kc2.html#SP14" class="function-link"><span class="function-syntax">Kinds::Constructors::is_arithmetic_and_real</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">-&gt;</span><span class="element-syntax">construct</span><span class="plain-syntax">);</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="function-syntax">Kinds::FloatingPoint::real_equivalent</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">Kinds::FloatingPoint::real_equivalent</span></span>:<br/><a href="3-fv.html#SP2">&#167;2</a><br/>Kind Checking - <a href="2-kc.html#SP11">&#167;11</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-kc.html#SP9" class="function-link"><span class="function-syntax">Kinds::Compare::eq</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">, </span><span class="identifier-syntax">K_number</span><span class="plain-syntax">)) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">K_real_number</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">K</span><span class="plain-syntax">;</span>
<span class="plain-syntax">}</span>
<span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="function-syntax">Kinds::FloatingPoint::integer_equivalent</span><button class="popup" onclick="togglePopup('usagePopup3')"><span class="comment-syntax">?</span><span class="popuptext" id="usagePopup3">Usage of <span class="code-font"><span class="function-syntax">Kinds::FloatingPoint::integer_equivalent</span></span>:<br/><a href="3-fv.html#SP2">&#167;2</a></span></button><span class="plain-syntax">(</span><span class="reserved-syntax">kind</span><span class="plain-syntax"> *</span><span class="identifier-syntax">K</span><span class="plain-syntax">) {</span>
<span class="plain-syntax"> </span><span class="reserved-syntax">if</span><span class="plain-syntax"> (</span><a href="2-kc.html#SP9" class="function-link"><span class="function-syntax">Kinds::Compare::eq</span></a><span class="plain-syntax">(</span><span class="identifier-syntax">K</span><span class="plain-syntax">, </span><span class="identifier-syntax">K_real_number</span><span class="plain-syntax">)) </span><span class="reserved-syntax">return</span><span class="plain-syntax"> </span><span class="identifier-syntax">K_number</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">K</span><span class="plain-syntax">;</span>
<span class="plain-syntax">}</span>
</pre>
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