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<div class="section" id="half-limits">
<h1>half Limits<a class="headerlink" href="#half-limits" title="Permalink to this headline">¶</a></h1>
<div class="breathe-sectiondef docutils container">
<p class="breathe-sectiondef-title rubric">Defines</p>
<dl class="cpp macro">
<dt id="c.HALF_DENORM_MIN">
<span class="target" id="half_8h_1aa0edd093c72f00705161e4f3b984233a"></span><code class="sig-name descname">HALF_DENORM_MIN</code><a class="headerlink" href="#c.HALF_DENORM_MIN" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Smallest positive denormalized half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_NRM_MIN">
<span class="target" id="half_8h_1a26a1b6284a9f1cdedfa26034d1f1d72a"></span><code class="sig-name descname">HALF_NRM_MIN</code><a class="headerlink" href="#c.HALF_NRM_MIN" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Smallest positive normalized half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_MIN">
<span class="target" id="half_8h_1ab50d333f1863582482e9ed60352280fd"></span><code class="sig-name descname">HALF_MIN</code><a class="headerlink" href="#c.HALF_MIN" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Smallest positive normalized half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_MAX">
<span class="target" id="half_8h_1a5b6361d2fc6650dc7dec79f1c2ec19f5"></span><code class="sig-name descname">HALF_MAX</code><a class="headerlink" href="#c.HALF_MAX" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Largest positive half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_EPSILON">
<span class="target" id="half_8h_1ab42dfec25c902fc23bd04ecf98b0f9e0"></span><code class="sig-name descname">HALF_EPSILON</code><a class="headerlink" href="#c.HALF_EPSILON" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Smallest positive e for which <code class="docutils literal notranslate"><span class="pre">half(1.0</span> <span class="pre">+</span> <span class="pre">e)</span> <span class="pre">!=</span> <span class="pre">half(1.0)</span></code> </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_MANT_DIG">
<span class="target" id="half_8h_1a5401eea966b48925b46b1f912f7267b1"></span><code class="sig-name descname">HALF_MANT_DIG</code><a class="headerlink" href="#c.HALF_MANT_DIG" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Number of digits in mantissa (significand + hidden leading 1) </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_DIG">
<span class="target" id="half_8h_1a023890238a02cfe62fe6be62868d3b2b"></span><code class="sig-name descname">HALF_DIG</code><a class="headerlink" href="#c.HALF_DIG" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Number of base 10 digits that can be represented without change: </p>
<p><code class="docutils literal notranslate"><span class="pre">floor(</span> <span class="pre">(HALF_MANT_DIG</span> <span class="pre">-</span> <span class="pre">1)</span> <span class="pre">*</span> <span class="pre">log10(2)</span> <span class="pre">)</span> <span class="pre">=></span> <span class="pre">3.01...</span> <span class="pre">-></span> <span class="pre">3</span></code> </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_DECIMAL_DIG">
<span class="target" id="half_8h_1a1e51a4db965f99b519e946c93dc67c9d"></span><code class="sig-name descname">HALF_DECIMAL_DIG</code><a class="headerlink" href="#c.HALF_DECIMAL_DIG" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Number of base-10 digits that are necessary to uniquely represent all distinct values: </p>
<p><code class="docutils literal notranslate"><span class="pre">ceil(HALF_MANT_DIG</span> <span class="pre">*</span> <span class="pre">log10(2)</span> <span class="pre">+</span> <span class="pre">1)</span> <span class="pre">=></span> <span class="pre">4.31...</span> <span class="pre">-></span> <span class="pre">5</span></code> </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_RADIX">
<span class="target" id="half_8h_1a28a9162ede14d72457b610bc0e808592"></span><code class="sig-name descname">HALF_RADIX</code><a class="headerlink" href="#c.HALF_RADIX" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Base of the exponent. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_DENORM_MIN_EXP">
<span class="target" id="half_8h_1ab2e36d50ac5da6e2d3a76d23feb8bb48"></span><code class="sig-name descname">HALF_DENORM_MIN_EXP</code><a class="headerlink" href="#c.HALF_DENORM_MIN_EXP" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Minimum negative integer such that <code class="docutils literal notranslate"><span class="pre">HALF_RADIX</span></code> raised to the power of one less than that integer is a normalized half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_MAX_EXP">
<span class="target" id="half_8h_1a10d9f10ab9a5f9bb022c1053c1d77308"></span><code class="sig-name descname">HALF_MAX_EXP</code><a class="headerlink" href="#c.HALF_MAX_EXP" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Maximum positive integer such that <code class="docutils literal notranslate"><span class="pre">HALF_RADIX</span></code> raised to the power of one less than that integer is a normalized half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_DENORM_MIN_10_EXP">
<span class="target" id="half_8h_1ae1dfcdf374e1798f7accc4440d84128c"></span><code class="sig-name descname">HALF_DENORM_MIN_10_EXP</code><a class="headerlink" href="#c.HALF_DENORM_MIN_10_EXP" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Minimum positive integer such that 10 raised to that power is a normalized half. </p>
</dd></dl>
<dl class="cpp macro">
<dt id="c.HALF_MAX_10_EXP">
<span class="target" id="half_8h_1a7472c7a66333055378ef1b19fad9c04c"></span><code class="sig-name descname">HALF_MAX_10_EXP</code><a class="headerlink" href="#c.HALF_MAX_10_EXP" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Maximum positive integer such that 10 raised to that power is a normalized half. </p>
</dd></dl>
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