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<meta name="viewport" content="width=device-width,initial-scale=1.0" /> <!--[if lt IE 9]> <script src="_static/css3-mediaqueries.js"></script> <![endif]--> </head><body> <div class="related" role="navigation" aria-label="related navigation"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="genindex.html" title="General Index" accesskey="I">index</a></li> <li class="right" > <a href="functions/half_c.html" title="C-language half-float Conversion" accesskey="N">next</a> |</li> <li class="right" > <a href="classes/half.html" title="The half Class" accesskey="P">previous</a> |</li> <li class="nav-item nav-item-0"><a href="index.html">Imath</a> »</li> <li class="nav-item nav-item-this"><a href="">half Limits</a></li> </ul> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body" role="main"> <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> </div> </div> <div class="clearer"></div> </div> </div> </div> <div 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