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<div class="section" id="random-numbers">
<span id="random-number-functions"></span><h1>Random Numbers<a class="headerlink" href="#random-numbers" title="Permalink to this headline">¶</a></h1>
<p>Functions to compute pseudo-random numbers.</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="c1">#include <Imath/ImathRandom.h></span>
</pre></div>
</div>
<dl class="cpp function">
<dt id="_CPPv4I00EN5Imath15solidSphereRandE3VecR4Rand">
<span id="_CPPv3I00EN5Imath15solidSphereRandER4Rand"></span><span id="_CPPv2I00EN5Imath15solidSphereRandER4Rand"></span>template<class <code class="sig-name descname">Vec</code>, class <code class="sig-name descname">Rand</code>><br /><span class="target" id="_imath_random_8h_1a728165955aab4514228f3dd575989708"></span><a class="reference internal" href="#_CPPv4I00EN5Imath15solidSphereRandE3VecR4Rand" title="Imath::solidSphereRand::Vec">Vec</a> <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">solidSphereRand</code><span class="sig-paren">(</span><a class="reference internal" href="#_CPPv4I00EN5Imath15solidSphereRandE3VecR4Rand" title="Imath::solidSphereRand::Rand">Rand</a> &<em>rand</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4I00EN5Imath15solidSphereRandE3VecR4Rand" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return random points uniformly distributed in a sphere with radius 1 around the origin (distance from origin <= 1). </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4I00EN5Imath16hollowSphereRandE3VecR4Rand">
<span id="_CPPv3I00EN5Imath16hollowSphereRandER4Rand"></span><span id="_CPPv2I00EN5Imath16hollowSphereRandER4Rand"></span>template<class <code class="sig-name descname">Vec</code>, class <code class="sig-name descname">Rand</code>><br /><span class="target" id="_imath_random_8h_1a47224d5f3bb441f8189380796c124515"></span><a class="reference internal" href="#_CPPv4I00EN5Imath16hollowSphereRandE3VecR4Rand" title="Imath::hollowSphereRand::Vec">Vec</a> <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">hollowSphereRand</code><span class="sig-paren">(</span><a class="reference internal" href="#_CPPv4I00EN5Imath16hollowSphereRandE3VecR4Rand" title="Imath::hollowSphereRand::Rand">Rand</a> &<em>rand</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4I00EN5Imath16hollowSphereRandE3VecR4Rand" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return random points uniformly distributed on the surface of a sphere with radius 1 around the origin. </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4I00EN5Imath15gaussSphereRandE3VecR4Rand">
<span id="_CPPv3I00EN5Imath15gaussSphereRandER4Rand"></span><span id="_CPPv2I00EN5Imath15gaussSphereRandER4Rand"></span>template<class <code class="sig-name descname">Vec</code>, class <code class="sig-name descname">Rand</code>><br /><span class="target" id="_imath_random_8h_1acacc168a034c5f7e28a1ba0c2cb2efe6"></span><a class="reference internal" href="#_CPPv4I00EN5Imath15gaussSphereRandE3VecR4Rand" title="Imath::gaussSphereRand::Vec">Vec</a> <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">gaussSphereRand</code><span class="sig-paren">(</span><a class="reference internal" href="#_CPPv4I00EN5Imath15gaussSphereRandE3VecR4Rand" title="Imath::gaussSphereRand::Rand">Rand</a> &<em>rand</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4I00EN5Imath15gaussSphereRandE3VecR4Rand" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return random points whose distance from the origin has a normal (Gaussian) distribution with zero mean and unit variance. </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4I0EN5Imath9gaussRandEfR4Rand">
<span id="_CPPv3I0EN5Imath9gaussRandER4Rand"></span><span id="_CPPv2I0EN5Imath9gaussRandER4Rand"></span>template<class <code class="sig-name descname">Rand</code>><br /><span class="target" id="_imath_random_8h_1adce42f5564e474038333702a07c0f8c3"></span>float <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">gaussRand</code><span class="sig-paren">(</span><a class="reference internal" href="#_CPPv4I0EN5Imath9gaussRandEfR4Rand" title="Imath::gaussRand::Rand">Rand</a> &<em>rand</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4I0EN5Imath9gaussRandEfR4Rand" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return random numbers with a normal (Gaussian) distribution with zero mean and unit variance. </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4N5Imath7erand48EAL3E_t">
<span id="_CPPv3N5Imath7erand48EAL3E_t"></span><span id="_CPPv2N5Imath7erand48EA3_t"></span><span id="Imath::erand48__unsigned-shortA"></span><span class="target" id="_imath_random_8cpp_1a594f35373e91ff6bf458a21945bdfd98"></span>double <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">erand48</code><span class="sig-paren">(</span>unsigned short <em>state</em>[3]<span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7erand48EAL3E_t" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Generate double-precision floating-point values between 0.0 and 1.0: </p>
<p>The exponent is set to 0x3ff, which indicates a value greater than or equal to 1.0, and less than 2.0. The 48 most significant bits of the significand (mantissa) are filled with pseudo-random bits generated by rand48Next(). The remaining 4 bits are a copy of the 4 most significant bits of the significand. This results in bit patterns between 0x3ff0000000000000 and 0x3fffffffffffffff, which correspond to uniformly distributed floating-point values between 1.0 and 1.99999999999999978. Subtracting 1.0 from those values produces numbers between 0.0 and 0.99999999999999978, that is, between 0.0 and 1.0-DBL_EPSILON. </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4N5Imath7drand48Ev">
<span id="_CPPv3N5Imath7drand48Ev"></span><span id="_CPPv2N5Imath7drand48Ev"></span><span id="Imath::drand48"></span><span class="target" id="_imath_random_8cpp_1ac1b4990880eb2501d8188a227556a961"></span>double <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">drand48</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7drand48Ev" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return erand48() </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4N5Imath7nrand48EAL3E_t">
<span id="_CPPv3N5Imath7nrand48EAL3E_t"></span><span id="_CPPv2N5Imath7nrand48EA3_t"></span><span id="Imath::nrand48__unsigned-shortA"></span><span class="target" id="_imath_random_8cpp_1af831329f78a9cf9899a7492fe329614e"></span>long int <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">nrand48</code><span class="sig-paren">(</span>unsigned short <em>state</em>[3]<span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7nrand48EAL3E_t" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Generate uniformly distributed integers between 0 and 0x7fffffff. </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4N5Imath7lrand48Ev">
<span id="_CPPv3N5Imath7lrand48Ev"></span><span id="_CPPv2N5Imath7lrand48Ev"></span><span id="Imath::lrand48"></span><span class="target" id="_imath_random_8cpp_1ae4c805082320328fb15c35ae9fb33fbe"></span>long int <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">lrand48</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7lrand48Ev" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return nrand48() </p>
</dd></dl>
<dl class="cpp function">
<dt id="_CPPv4N5Imath7srand48El">
<span id="_CPPv3N5Imath7srand48El"></span><span id="_CPPv2N5Imath7srand48El"></span><span id="Imath::srand48__l-i"></span><span class="target" id="_imath_random_8cpp_1aa1caeb3c23b570b36e399ef772272502"></span>void <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">srand48</code><span class="sig-paren">(</span>long int <em>seed</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7srand48El" title="Permalink to this definition">¶</a><br /></dt>
<dd></dd></dl>
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