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  <div class="section" id="line3">
<h1>Line3<a class="headerlink" href="#line3" title="Permalink to this headline">¶</a></h1>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="c1">#include &lt;Imath/ImathLine.h&gt;</span>
</pre></div>
</div>
<p>The <code class="docutils literal notranslate"><span class="pre">Line3</span></code> class template represents a line 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>There are also various utility functions that operate on <code class="docutils literal notranslate"><span class="pre">Line3</span></code>
objects defined in <code class="docutils literal notranslate"><span class="pre">ImathLineAlgo.h</span></code> and described in <a class="reference internal" href="../functions/line.html#line-functions"><span class="std std-ref">Line
Functions</span></a>.</p>
<p>Example:</p>
<div class="highlight-c++ notranslate"><div class="highlight"><pre><span></span><span class="cp">#include</span> <span class="cpf">&lt;Imath/ImathLine.h&gt;</span><span class="cp"></span>

<span class="kt">void</span>
<span class="nf">line3_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">a</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="n">b</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">Line3f</span> <span class="n">line</span> <span class="p">(</span><span class="n">a</span><span class="p">,</span> <span class="n">b</span><span class="p">);</span>
  
    <span class="n">assert</span> <span class="p">(</span><span class="n">line</span><span class="p">.</span><span class="n">pos</span> <span class="o">==</span> <span class="n">a</span><span class="p">);</span>
    <span class="n">assert</span> <span class="p">(</span><span class="n">line</span><span class="p">.</span><span class="n">dir</span> <span class="o">==</span> <span class="p">(</span><span class="n">b</span><span class="o">-</span><span class="n">a</span><span class="p">).</span><span class="n">normalized</span><span class="p">());</span>
    
    <span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span>   <span class="n">c</span> <span class="p">(</span><span class="mf">0.5f</span><span class="p">,</span> <span class="mf">0.5f</span><span class="p">,</span> <span class="mf">0.5f</span><span class="p">);</span>

    <span class="kt">float</span> <span class="n">f</span> <span class="o">=</span> <span class="n">line</span><span class="p">.</span><span class="n">distanceTo</span> <span class="p">(</span><span class="n">c</span><span class="p">);</span>
    <span class="n">assert</span> <span class="p">(</span><span class="n">Imath</span><span class="o">::</span><span class="n">equalWithAbsError</span> <span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="mf">0.0f</span><span class="p">,</span> <span class="mf">0.0001f</span><span class="p">));</span>

    <span class="n">Imath</span><span class="o">::</span><span class="n">V3f</span> <span class="n">p</span> <span class="o">=</span> <span class="n">line</span> <span class="p">(</span><span class="mf">0.5f</span><span class="p">);</span> <span class="c1">// midpoint, i.e. 0.5 units from a along (b-a)</span>

    <span class="n">assert</span> <span class="p">(</span><span class="n">p</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">0.288675f</span><span class="p">,</span> <span class="mf">0.288675f</span><span class="p">,</span> <span class="mf">0.288675f</span><span class="p">),</span> <span class="mf">0.0001f</span><span class="p">));</span>
<span class="p">}</span>
</pre></div>
</div>
<dl class="cpp type">
<dt id="_CPPv4N5Imath6Line3fE">
<span id="_CPPv3N5Imath6Line3fE"></span><span id="_CPPv2N5Imath6Line3fE"></span><span id="Imath::Line3f"></span><span class="target" id="_imath_line_8h_1ae82f221393c595109d8e8d31239253ba"></span><em class="property">typedef </em><a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a>&lt;float&gt; <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">Line3f</code><a class="headerlink" href="#_CPPv4N5Imath6Line3fE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Line of type float. </p>
</dd></dl>

<dl class="cpp type">
<dt id="_CPPv4N5Imath6Line3dE">
<span id="_CPPv3N5Imath6Line3dE"></span><span id="_CPPv2N5Imath6Line3dE"></span><span id="Imath::Line3d"></span><span class="target" id="_imath_line_8h_1adcb6dac9ef4a901b8a093cca726963bb"></span><em class="property">typedef </em><a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a>&lt;double&gt; <code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">Line3d</code><a class="headerlink" href="#_CPPv4N5Imath6Line3dE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Line of type double. </p>
</dd></dl>

<dl class="cpp class">
<dt id="_CPPv4I0EN5Imath5Line3E">
<span id="_CPPv3I0EN5Imath5Line3E"></span><span id="_CPPv2I0EN5Imath5Line3E"></span>template&lt;class <code class="sig-name descname">T</code>&gt;<br /><span class="target" id="class_imath_1_1_line3"></span><em class="property">class </em><code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">Line3</code><a class="headerlink" href="#_CPPv4I0EN5Imath5Line3E" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>The <code class="docutils literal notranslate"><a class="reference internal" href="#class_imath_1_1_line3"><span class="std std-ref"><span class="pre">Line3</span></span></a></code> class represents a 3D line, defined by a point and a direction vector. </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="_CPPv4N5Imath5Line33posE">
<span id="_CPPv3N5Imath5Line33posE"></span><span id="_CPPv2N5Imath5Line33posE"></span><span id="Imath::Line3::pos__Vec3:T:"></span><span class="target" id="class_imath_1_1_line3_1ae9cd0119bfcd2d76f1a74c809fbd59ad"></span><a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; <code class="sig-name descname">pos</code><a class="headerlink" href="#_CPPv4N5Imath5Line33posE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>A point on the line. </p>
</dd></dl>

<dl class="cpp var">
<dt id="_CPPv4N5Imath5Line33dirE">
<span id="_CPPv3N5Imath5Line33dirE"></span><span id="_CPPv2N5Imath5Line33dirE"></span><span id="Imath::Line3::dir__Vec3:T:"></span><span class="target" id="class_imath_1_1_line3_1a1e1e8560f0f6356429d915935b7573ef"></span><a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; <code class="sig-name descname">dir</code><a class="headerlink" href="#_CPPv4N5Imath5Line33dirE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>The direction of the line. </p>
</dd></dl>

</div>
<div class="breathe-sectiondef docutils container">
<p class="breathe-sectiondef-title rubric">Constructors</p>
<dl class="cpp function">
<dt id="_CPPv4N5Imath5Line35Line3Ev">
<span id="_CPPv3N5Imath5Line35Line3Ev"></span><span id="_CPPv2N5Imath5Line35Line3Ev"></span><span id="Imath::Line3::Line3CE"></span><span class="target" id="class_imath_1_1_line3_1a5a50845b49061fd546afb461cf5cfac9"></span><em class="property">inline</em> <em class="property">constexpr</em> <code class="sig-name descname">Line3</code><span class="sig-paren">(</span><span class="sig-paren">)</span> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4N5Imath5Line35Line3Ev" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Uninitialized by default. </p>
</dd></dl>

<dl class="cpp function">
<dt id="_CPPv4N5Imath5Line35Line3ERK4Vec3I1TERK4Vec3I1TE">
<span id="_CPPv3N5Imath5Line35Line3ERK4Vec3I1TERK4Vec3I1TE"></span><span id="_CPPv2N5Imath5Line35Line3ERK4Vec3I1TERK4Vec3I1TE"></span><span id="Imath::Line3::Line3__Vec3:T:CR.Vec3:T:CRCE"></span><span class="target" id="class_imath_1_1_line3_1a04925e7937c4748e88a0838452edeb96"></span><em class="property">inline</em> <em class="property">constexpr</em> <code class="sig-name descname">Line3</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>point1</em>, <em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>point2</em><span class="sig-paren">)</span> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4N5Imath5Line35Line3ERK4Vec3I1TERK4Vec3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Initialize with two points. </p>
<p>The direction is the difference between the points. </p>
</dd></dl>

</div>
<div class="breathe-sectiondef docutils container">
<p class="breathe-sectiondef-title rubric">Manipulation</p>
<dl class="cpp function">
<dt id="_CPPv4N5Imath5Line33setERK4Vec3I1TERK4Vec3I1TE">
<span id="_CPPv3N5Imath5Line33setERK4Vec3I1TERK4Vec3I1TE"></span><span id="_CPPv2N5Imath5Line33setERK4Vec3I1TERK4Vec3I1TE"></span><span id="Imath::Line3::set__Vec3:T:CR.Vec3:T:CR"></span><span class="target" id="class_imath_1_1_line3_1a7c4159e4cc80c2664880afbd0b2f8e57"></span><em class="property">inline</em> void <code class="sig-name descname">set</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>point1</em>, <em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>point2</em><span class="sig-paren">)</span> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4N5Imath5Line33setERK4Vec3I1TERK4Vec3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Set the line defined by two points. </p>
<p>The direction is the difference between the points. </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="_CPPv4NK5Imath5Line3clE1T">
<span id="_CPPv3NK5Imath5Line3clE1T"></span><span id="_CPPv2NK5Imath5Line3clE1T"></span><span id="Imath::Line3::call-operator__TCCE"></span><span class="target" id="class_imath_1_1_line3_1a5ee9e3e9a94c61d409e696c3bc9a67ab"></span><em class="property">inline</em> <em class="property">constexpr</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; <code class="sig-name descname">operator()</code><span class="sig-paren">(</span><a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a> <em>parameter</em><span class="sig-paren">)</span> <em class="property">const</em> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4NK5Imath5Line3clE1T" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return the point on the line at the given parameter value, e.g. </p>
<p>L(t) </p>
</dd></dl>

<dl class="cpp function">
<dt id="_CPPv4NK5Imath5Line310distanceToERK4Vec3I1TE">
<span id="_CPPv3NK5Imath5Line310distanceToERK4Vec3I1TE"></span><span id="_CPPv2NK5Imath5Line310distanceToERK4Vec3I1TE"></span><span id="Imath::Line3::distanceTo__Vec3:T:CRCCE"></span><span class="target" id="class_imath_1_1_line3_1ad2f43f512dfdc01ee0c268266c231a4f"></span><em class="property">inline</em> <em class="property">constexpr</em> <a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a> <code class="sig-name descname">distanceTo</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>point</em><span class="sig-paren">)</span> <em class="property">const</em> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4NK5Imath5Line310distanceToERK4Vec3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return the distance to the given point. </p>
</dd></dl>

<dl class="cpp function">
<dt id="_CPPv4NK5Imath5Line310distanceToERK5Line3I1TE">
<span id="_CPPv3NK5Imath5Line310distanceToERK5Line3I1TE"></span><span id="_CPPv2NK5Imath5Line310distanceToERK5Line3I1TE"></span><span id="Imath::Line3::distanceTo__Line3:T:CRCCE"></span><span class="target" id="class_imath_1_1_line3_1abe3ddd3f42427e96c11e540b93afa5b2"></span><em class="property">inline</em> <em class="property">constexpr</em> <a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a> <code class="sig-name descname">distanceTo</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>line</em><span class="sig-paren">)</span> <em class="property">const</em> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4NK5Imath5Line310distanceToERK5Line3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return the distance to the given line. </p>
</dd></dl>

<dl class="cpp function">
<dt id="_CPPv4NK5Imath5Line314closestPointToERK4Vec3I1TE">
<span id="_CPPv3NK5Imath5Line314closestPointToERK4Vec3I1TE"></span><span id="_CPPv2NK5Imath5Line314closestPointToERK4Vec3I1TE"></span><span id="Imath::Line3::closestPointTo__Vec3:T:CRCCE"></span><span class="target" id="class_imath_1_1_line3_1a736e43f1586007b411462b9552484534"></span><em class="property">inline</em> <em class="property">constexpr</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; <code class="sig-name descname">closestPointTo</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>point</em><span class="sig-paren">)</span> <em class="property">const</em> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4NK5Imath5Line314closestPointToERK4Vec3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return the point on the line closest to the given point. </p>
</dd></dl>

<dl class="cpp function">
<dt id="_CPPv4NK5Imath5Line314closestPointToERK5Line3I1TE">
<span id="_CPPv3NK5Imath5Line314closestPointToERK5Line3I1TE"></span><span id="_CPPv2NK5Imath5Line314closestPointToERK5Line3I1TE"></span><span id="Imath::Line3::closestPointTo__Line3:T:CRCCE"></span><span class="target" id="class_imath_1_1_line3_1a7c0d2ae086ad8b732dbf97939fae6272"></span><em class="property">inline</em> <em class="property">constexpr</em> <a class="reference internal" href="Vec3.html#_CPPv4I0EN5Imath4Vec3E" title="Imath::Vec3">Vec3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; <code class="sig-name descname">closestPointTo</code><span class="sig-paren">(</span><em class="property">const</em> <a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3::T">T</a>&gt; &amp;<em>line</em><span class="sig-paren">)</span> <em class="property">const</em> <em class="property">noexcept</em><a class="headerlink" href="#_CPPv4NK5Imath5Line314closestPointToERK5Line3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Return the point on the line closest to the given line. </p>
</dd></dl>

</div>
</dd></dl>

<dl class="cpp function">
<dt id="_CPPv4I0EN5ImathlsERNSt7ostreamERNSt7ostreamERK5Line3I1TE">
<span id="_CPPv3I0EN5ImathlsERNSt7ostreamERK5Line3I1TE"></span><span id="_CPPv2I0EN5ImathlsERNSt7ostreamERK5Line3I1TE"></span>template&lt;class <code class="sig-name descname">T</code>&gt;<br /><span class="target" id="_imath_line_8h_1a280039dc1d58086adfaddb7538df57cb"></span>std::ostream &amp;<code class="sig-prename descclassname">Imath<code class="sig-prename descclassname">::</code></code><code class="sig-name descname">operator&lt;&lt;</code><span class="sig-paren">(</span>std::ostream &amp;<em>o</em>, <em class="property">const</em> <a class="reference internal" href="#_CPPv4I0EN5Imath5Line3E" title="Imath::Line3">Line3</a>&lt;<a class="reference internal" href="#_CPPv4I0EN5ImathlsERNSt7ostreamERNSt7ostreamERK5Line3I1TE" title="Imath::operator&lt;&lt;::T">T</a>&gt; &amp;<em>line</em><span class="sig-paren">)</span><a class="headerlink" href="#_CPPv4I0EN5ImathlsERNSt7ostreamERNSt7ostreamERK5Line3I1TE" title="Permalink to this definition">¶</a><br /></dt>
<dd><p>Stream output, as “(pos dir)”. </p>
</dd></dl>

</div>


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