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<!doctype html> <html> <head> <meta charset="utf-8" /> <meta name="viewport" content="width=device-width, initial-scale=1.0" /> <title>Sphere3 — Imath Documentation</title> <link rel="stylesheet" href="../_static/pygments.css" type="text/css" /> <link rel="stylesheet" href="../_static/bizstyle.css" type="text/css" /> <script id="documentation_options" data-url_root="../" src="../_static/documentation_options.js"></script> <script src="../_static/jquery.js"></script> <script src="../_static/underscore.js"></script> <script src="../_static/doctools.js"></script> <script async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/latest.js?config=TeX-AMS-MML_HTMLorMML"></script> <script src="../_static/bizstyle.js"></script> <link rel="index" title="Index" href="../genindex.html" /> <link rel="search" title="Search" href="../search.html" /> <link rel="next" title="Vec2" href="Vec2.html" /> <link rel="prev" title="Shear6" href="Shear6.html" /> <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="Vec2.html" title="Vec2" accesskey="N">next</a> \|</li> <li class="right" > <a href="Shear6.html" title="Shear6" 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="">Sphere3</a></li> </ul> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body" role="main"> <div class="section" id="sphere3"> <h1>Sphere3<a class="headerlink" href="#sphere3" title="Permalink to this headline">¶</a></h1> <div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="c1">#include <Imath/ImathSphere.h></span> </pre></div> </div> <p>The <code class="docutils literal notranslate"><span class="pre">Sphere3</span></code> class template represents a sphere in 3D space, with predefined typedefs for lines of type <code class="docutils literal notranslate"><span class="pre">float</span></code> and <code class="docutils literal notranslate"><span class="pre">double</span></code>.</p> <p>Example:</p> <div class="highlight-c++ notranslate"><div class="highlight"><pre><span></span><span class="cp">#include</span> <span class="cpf"><Imath/ImathSphere.h></span><span class="cp"></span> <span class="kt">void</span> <span class="nf">sphere3_example</span><span class="p">()</span> <span class="p">{</span> <span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span> <span class="n">center</span> <span class="p">(</span><span class="mf">1.0f</span><span class="p">,</span> <span class="mf">1.0f</span><span class="p">,</span> <span class="mf">1.0f</span><span class="p">);</span> <span class="kt">float</span> <span class="n">radius</span> <span class="o">=</span> <span class="mf">2.0f</span><span class="p">;</span> <span class="n">Imath</span><span class="o">::</span><span class="n">Sphere3f</span> <span class="n">s</span> <span class="p">(</span><span class="n">center</span><span class="p">,</span> <span class="n">radius</span><span class="p">);</span> <span class="n">assert</span> <span class="p">(</span><span class="n">s</span><span class="p">.</span><span class="n">center</span> <span class="o">==</span> <span class="n">center</span><span class="p">);</span> <span class="n">assert</span> <span class="p">(</span><span class="n">s</span><span class="p">.</span><span class="n">radius</span> <span class="o">==</span> <span class="n">radius</span><span class="p">);</span> <span class="n">Imath</span><span class="o">::</span><span class="n">Line3f</span> <span class="n">line</span> <span class="p">(</span><span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span> <span class="p">(</span><span class="mf">0.0f</span><span class="p">,</span> <span class="mf">0.0f</span><span class="p">,</span> <span class="mf">0.0f</span><span class="p">),</span> <span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span> <span class="p">(</span><span class="mf">1.0f</span><span class="p">,</span> <span class="mf">1.0f</span><span class="p">,</span> <span class="mf">1.0f</span><span class="p">));</span> <span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span> <span class="n">v</span><span class="p">;</span> <span class="n">assert</span> <span class="p">(</span><span class="n">s</span><span class="p">.</span><span class="n">intersect</span> <span class="p">(</span><span class="n">line</span><span class="p">,</span> <span class="n">v</span><span class="p">));</span> <span class="n">assert</span> <span class="p">(</span><span class="n">v</span><span class="p">.</span><span class="n">equalWithAbsError</span> <span class="p">(</span><span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span><span class="p">(</span><span class="mf">2.1547f</span><span class="p">,</span> <span class="mf">2.1547f</span><span class="p">,</span> <span class="mf">2.1547f</span><span class="p">),</span> <span class="mf">1e-6f</span><span class="p">));</span> <span class="p">}</span> </pre></div> </div> <dl class="cpp type"> <dt id="_CPPv4N5Imath8Sphere3fE"> <span id="_CPPv3N5Imath8Sphere3fE"></span><span id="_CPPv2N5Imath8Sphere3fE"></span><span id="Imath::Sphere3f"></span><span class="target" id="_imath_sphere_8h_1ad2d5d485d065a3e35371508932700440"></span><em class="property">typedef </em><a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3">Sphere3</a><float> <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">Sphere3f</code><a class="headerlink" href="#_CPPv4N5Imath8Sphere3fE" title="Permalink to this definition">¶</a><br /></dt> <dd><p>Sphere of type float. </p> </dd></dl> <dl class="cpp class"> <dt id="_CPPv4I0EN5Imath7Sphere3E"> <span id="_CPPv3I0EN5Imath7Sphere3E"></span><span id="_CPPv2I0EN5Imath7Sphere3E"></span>template<class <code class="sig-name descname">T</code>><br /><span class="target" id="class_imath_1_1_sphere3"></span><em class="property">class </em><code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">Sphere3</code><a class="headerlink" href="#_CPPv4I0EN5Imath7Sphere3E" title="Permalink to this definition">¶</a><br /></dt> <dd><p>A 3D sphere. </p> <div class="breathe-sectiondef docutils container"> <p class="breathe-sectiondef-title rubric">Direct access to member fields</p> <dl class="cpp var"> <dt id="_CPPv4N5Imath7Sphere36centerE"> <span id="_CPPv3N5Imath7Sphere36centerE"></span><span id="_CPPv2N5Imath7Sphere36centerE"></span><span id="Imath::Sphere3::center__Vec3:T:"></span><span class="target" id="class_imath_1_1_sphere3_1acbf8b3c3b9a8f599d1880972d80f72f4"></span><a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a><<a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a>> <code class="sig-name descname">center</code><a class="headerlink" href="#_CPPv4N5Imath7Sphere36centerE" title="Permalink to this definition">¶</a><br /></dt> <dd><p>Center. </p> </dd></dl> <dl class="cpp var"> <dt id="_CPPv4N5Imath7Sphere36radiusE"> <span id="_CPPv3N5Imath7Sphere36radiusE"></span><span id="_CPPv2N5Imath7Sphere36radiusE"></span><span id="Imath::Sphere3::radius__T"></span><span class="target" id="class_imath_1_1_sphere3_1a33522d988508b879fd94eb175d5dc65d"></span><a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a> <code class="sig-name descname">radius</code><a class="headerlink" href="#_CPPv4N5Imath7Sphere36radiusE" title="Permalink to this definition">¶</a><br /></dt> <dd><p>Radius. </p> </dd></dl> </div> <div class="breathe-sectiondef docutils container"> <p class="breathe-sectiondef-title rubric">Constructors</p> <dl class="cpp function"> <dt id="_CPPv4N5Imath7Sphere37Sphere3Ev"> <span id="_CPPv3N5Imath7Sphere37Sphere3Ev"></span><span id="_CPPv2N5Imath7Sphere37Sphere3Ev"></span><span id="Imath::Sphere3::Sphere3CE"></span><span class="target" id="class_imath_1_1_sphere3_1a7e0ed7ee862f64a4fd72aa475daca53c"></span><em class="property">inline</em> <em class="property">constexpr</em> <code class="sig-name descname">Sphere3</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7Sphere37Sphere3Ev" title="Permalink to this definition">¶</a><br /></dt> <dd><p>Default is center at (0,0,0) and radius of 0. </p> </dd></dl> <dl class="cpp function"> <dt id="_CPPv4N5Imath7Sphere37Sphere3ERK4Vec3I1TE1T"> <span id="_CPPv3N5Imath7Sphere37Sphere3ERK4Vec3I1TE1T"></span><span id="_CPPv2N5Imath7Sphere37Sphere3ERK4Vec3I1TE1T"></span><span id="Imath::Sphere3::Sphere3__Vec3:T:CR.TCE"></span><span class="target" id="class_imath_1_1_sphere3_1aaa6c6e480f8ec7a4605c5d038669d102"></span><em class="property">inline</em> <em class="property">constexpr</em> <code class="sig-name descname">Sphere3</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a><<a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a>> &<em>c</em>, <a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a> <em>r</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7Sphere37Sphere3ERK4Vec3I1TE1T" title="Permalink to this definition">¶</a><br /></dt> <dd><p>Initialize to a given center and radius. </p> </dd></dl> </div> <div class="breathe-sectiondef docutils container"> <p class="breathe-sectiondef-title rubric">Manipulation</p> <dl class="cpp function"> <dt id="_CPPv4N5Imath7Sphere312circumscribeERK3BoxI4Vec3I1TEE"> <span id="_CPPv3N5Imath7Sphere312circumscribeERK3BoxI4Vec3I1TEE"></span><span id="_CPPv2N5Imath7Sphere312circumscribeERK3BoxI4Vec3I1TEE"></span><span id="Imath::Sphere3::circumscribe__Box:Vec3:T::CR"></span><span class="target" id="class_imath_1_1_sphere3_1a3e3e1e7fa21761ae410e1425973d21f6"></span><em class="property">inline</em> void <code class="sig-name descname">circumscribe</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Box.html#_CPPv4I0EN5Imath3BoxE" title="Imath::Box">Box</a><<a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a><<a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a>>> &<em>box</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4N5Imath7Sphere312circumscribeERK3BoxI4Vec3I1TEE" title="Permalink to this definition">¶</a><br /></dt> <dd><p>Set the center and radius of the sphere so that it tightly encloses <a class="reference internal" href="Box.html#class_imath_1_1_box"><span class="std std-ref">Box</span></a> b. </p> </dd></dl> </div> <div class="breathe-sectiondef docutils container"> <p class="breathe-sectiondef-title rubric">Utility Methods</p> <dl class="cpp function"> <dt id="_CPPv4NK5Imath7Sphere39intersectERK5Line3I1TER4Vec3I1TE"> <span id="_CPPv3NK5Imath7Sphere39intersectERK5Line3I1TER4Vec3I1TE"></span><span id="_CPPv2NK5Imath7Sphere39intersectERK5Line3I1TER4Vec3I1TE"></span><span id="Imath::Sphere3::intersect__Line3:T:CR.Vec3:T:RCCE"></span><span class="target" id="class_imath_1_1_sphere3_1a84b8ef30046bd07aeab2e66cb3b91d17"></span><em class="property">constexpr</em> bool <code class="sig-name descname">intersect</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Line3.html#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a><<a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a>> &<em>l</em>, <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a><<a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a>> &<em>intersection</em><span class="sig-paren">)</span> <em class="property">const</em><a class="headerlink" href="#_CPPv4NK5Imath7Sphere39intersectERK5Line3I1TER4Vec3I1TE" title="Permalink to this definition">¶</a><br /></dt> <dd><p>If the sphere and line <code class="docutils literal notranslate"><span class="pre">l</span></code> intersect, then compute the smallest <code class="docutils literal notranslate"><span class="pre">t</span></code> with <code class="docutils literal notranslate"><span class="pre">t>=0</span></code> so that <code class="docutils literal notranslate"><span class="pre">l(t)</span></code> is a point on the sphere. </p> <p><dl class="simple"> <dt><strong>Return</strong></dt><dd><p>True if the sphere and line intersect, false if they do not. </p> </dd> <dt><strong>Parameters</strong></dt><dd><ul class="breatheparameterlist simple"> <li><p><code class="docutils literal notranslate"><span class="pre">[in]</span> <span class="pre">l</span></code>: The line </p></li> <li><p><code class="docutils literal notranslate"><span class="pre">[out]</span> <span class="pre">intersection</span></code>: The point of intersection </p></li> </ul> </dd> </dl> </p> </dd></dl> <dl class="cpp function"> <dt id="_CPPv4NK5Imath7Sphere310intersectTERK5Line3I1TER1T"> <span id="_CPPv3NK5Imath7Sphere310intersectTERK5Line3I1TER1T"></span><span id="_CPPv2NK5Imath7Sphere310intersectTERK5Line3I1TER1T"></span><span id="Imath::Sphere3::intersectT__Line3:T:CR.TRCCE"></span><span class="target" id="class_imath_1_1_sphere3_1ae35eebbdde9ce17868a7f3716f33c43a"></span><em class="property">constexpr</em> bool <code class="sig-name descname">intersectT</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Line3.html#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a><<a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a>> &<em>l</em>, <a class="reference internal" href="#_CPPv4I0EN5Imath7Sphere3E" title="Imath::Sphere3::T">T</a> &<em>t</em><span class="sig-paren">)</span> <em class="property">const</em><a class="headerlink" href="#_CPPv4NK5Imath7Sphere310intersectTERK5Line3I1TER1T" title="Permalink to this definition">¶</a><br /></dt> <dd><p>If the sphere and line <code class="docutils literal notranslate"><span class="pre">l</span></code> intersect, then compute the smallest <code class="docutils literal notranslate"><span class="pre">t</span></code> with <code class="docutils literal notranslate"><span class="pre">t>=0</span></code> so that <code class="docutils literal notranslate"><span class="pre">l(t)</span></code> is a point on the sphere. </p> <p><dl class="simple"> <dt><strong>Return</strong></dt><dd><p>True if the sphere and line intersect, false if they do not. </p> </dd> <dt><strong>Parameters</strong></dt><dd><ul class="breatheparameterlist simple"> <li><p><code class="docutils literal notranslate"><span class="pre">[in]</span> <span class="pre">l</span></code>: The line </p></li> <li><p><code class="docutils literal notranslate"><span class="pre">[out]</span> <span class="pre">t</span></code>: The parameter of the line at the intersection point </p></li> </ul> </dd> </dl> </p> </dd></dl> </div> </dd></dl> </div> <div class="clearer"></div> </div> </div> </div> <div class="sphinxsidebar" role="navigation" 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