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<a href="#related">Related Functions</a> </div>
<div class="headertitle"><div class="title">CGAL::Bbox_3 Class Reference<div class="ingroups"><a class="el" href="group__PkgKernel23Ref.html">2D and 3D Linear Geometry Kernel Reference</a> » <a class="el" href="group__kernel__classes3.html">3D Kernel Objects</a></div></div></div>
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<p><code>#include <CGAL/Bbox_3.h></code></p>
<a name="details" id="details"></a><h2 class="groupheader">Definition</h2>
<div class="textblock"><p>An object <code>b</code> of the class <code><a class="el" href="classCGAL_1_1Bbox__3.html" title="An object b of the class Bbox_3 is a bounding box in the three-dimensional Euclidean space .">Bbox_3</a></code> is a bounding box in the three-dimensional Euclidean space \( \E^3\). </p>
<dl>
<dt>Is model of</dt>
<dd><code><a class="elRef" href="../STL_Extension/classHashable.html">Hashable</a></code> </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><code><a class="el" href="classCGAL_1_1Bbox__2.html" title="An object b of the class Bbox_2 is a bounding box in the two-dimensional Euclidean plane .">CGAL::Bbox_2</a></code> </dd></dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="related" name="related"></a>
Related Functions</h2></td></tr>
<tr><td class="ititle" colspan="2"><p>(Note that these are not member functions.) </p>
</td></tr>
<tr class="memitem:a9b38ee256026bdb2d65ba1241c3189af"><td class="memTemplParams" colspan="2">template<class <a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> > </td></tr>
<tr class="memitem:a9b38ee256026bdb2d65ba1241c3189af"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Bbox__3.html#a9b38ee256026bdb2d65ba1241c3189af">bbox_3</a> (<a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> begin, <a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> past_end)</td></tr>
<tr class="memdesc:a9b38ee256026bdb2d65ba1241c3189af"><td class="mdescLeft"> </td><td class="mdescRight">returns the bounding box of the objects in the range <code>[first,past_end[</code>. <br></td></tr>
<tr class="separator:a9b38ee256026bdb2d65ba1241c3189af"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:adf57241c899d9a0868db08113fcc7ab0"><td class="memTemplParams" colspan="2">template<class <a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> , class Traits > </td></tr>
<tr class="memitem:adf57241c899d9a0868db08113fcc7ab0"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Bbox__3.html#adf57241c899d9a0868db08113fcc7ab0">bbox_3</a> (<a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> begin, <a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> past_end, const Traits &traits)</td></tr>
<tr class="memdesc:adf57241c899d9a0868db08113fcc7ab0"><td class="mdescLeft"> </td><td class="mdescRight">returns the bounding box of the objects in the range <code>[first,past_end[</code>. <br></td></tr>
<tr class="separator:adf57241c899d9a0868db08113fcc7ab0"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Creation</h2></td></tr>
<tr class="memitem:a75807ebbe9a396b8c3592993e76490df"><td class="memItemLeft" align="right" valign="top"><a id="a75807ebbe9a396b8c3592993e76490df" name="a75807ebbe9a396b8c3592993e76490df"></a>
</td><td class="memItemRight" valign="bottom"><b>Bbox_3</b> ()</td></tr>
<tr class="memdesc:a75807ebbe9a396b8c3592993e76490df"><td class="mdescLeft"> </td><td class="mdescRight">introduces an <em>empty</em> bounding box with lower left corner point at \( (\infty, \infty, \infty) \) and with upper right corner point at \( (-\infty, -\infty, -\infty) \), \( \infty \) being <code>std::numeric_limits<double>::infinity()</code>. <br></td></tr>
<tr class="separator:a75807ebbe9a396b8c3592993e76490df"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aca3d5a6c7a80b4ed24d3c6472a729c60"><td class="memItemLeft" align="right" valign="top"><a id="aca3d5a6c7a80b4ed24d3c6472a729c60" name="aca3d5a6c7a80b4ed24d3c6472a729c60"></a>
</td><td class="memItemRight" valign="bottom"><b>Bbox_3</b> (double x_min, double y_min, double z_min, double x_max, double y_max, double z_max)</td></tr>
<tr class="memdesc:aca3d5a6c7a80b4ed24d3c6472a729c60"><td class="mdescLeft"> </td><td class="mdescRight">introduces a bounding box <code>b</code> with lexicographically smallest corner point at <code>(xmin, ymin, zmin)</code> and lexicographically largest corner point at <code>(xmax, ymax, zmax)</code>. <br></td></tr>
<tr class="separator:aca3d5a6c7a80b4ed24d3c6472a729c60"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Operations</h2></td></tr>
<tr class="memitem:a60c588e8ca31ea7f097a8b211f1382d4"><td class="memItemLeft" align="right" valign="top"><a id="a60c588e8ca31ea7f097a8b211f1382d4" name="a60c588e8ca31ea7f097a8b211f1382d4"></a>
bool </td><td class="memItemRight" valign="bottom"><b>operator==</b> (const <a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> &c) const</td></tr>
<tr class="memdesc:a60c588e8ca31ea7f097a8b211f1382d4"><td class="mdescLeft"> </td><td class="mdescRight">Test for equality. <br></td></tr>
<tr class="separator:a60c588e8ca31ea7f097a8b211f1382d4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab5266cfd277aea6a7ef3ceab8686108e"><td class="memItemLeft" align="right" valign="top"><a id="ab5266cfd277aea6a7ef3ceab8686108e" name="ab5266cfd277aea6a7ef3ceab8686108e"></a>
bool </td><td class="memItemRight" valign="bottom"><b>operator!=</b> (const <a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> &q) const</td></tr>
<tr class="memdesc:ab5266cfd277aea6a7ef3ceab8686108e"><td class="mdescLeft"> </td><td class="mdescRight">Test for inequality. <br></td></tr>
<tr class="separator:ab5266cfd277aea6a7ef3ceab8686108e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8451a1b0bd16dcced9b8584d4dc99d93"><td class="memItemLeft" align="right" valign="top"><a id="a8451a1b0bd16dcced9b8584d4dc99d93" name="a8451a1b0bd16dcced9b8584d4dc99d93"></a>
int </td><td class="memItemRight" valign="bottom"><b>dimension</b> () const</td></tr>
<tr class="memdesc:a8451a1b0bd16dcced9b8584d4dc99d93"><td class="mdescLeft"> </td><td class="mdescRight">Returns 3. <br></td></tr>
<tr class="separator:a8451a1b0bd16dcced9b8584d4dc99d93"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aab574470a2591f187553ca1166e682e1"><td class="memItemLeft" align="right" valign="top"><a id="aab574470a2591f187553ca1166e682e1" name="aab574470a2591f187553ca1166e682e1"></a>
double </td><td class="memItemRight" valign="bottom"><b>xmin</b> () const</td></tr>
<tr class="separator:aab574470a2591f187553ca1166e682e1"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2088e16a1f0a20e011e5b94c2e9c222a"><td class="memItemLeft" align="right" valign="top"><a id="a2088e16a1f0a20e011e5b94c2e9c222a" name="a2088e16a1f0a20e011e5b94c2e9c222a"></a>
double </td><td class="memItemRight" valign="bottom"><b>ymin</b> () const</td></tr>
<tr class="separator:a2088e16a1f0a20e011e5b94c2e9c222a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6c55430abc7fda54571cf1075c7f2f8b"><td class="memItemLeft" align="right" valign="top"><a id="a6c55430abc7fda54571cf1075c7f2f8b" name="a6c55430abc7fda54571cf1075c7f2f8b"></a>
double </td><td class="memItemRight" valign="bottom"><b>zmin</b> () const</td></tr>
<tr class="separator:a6c55430abc7fda54571cf1075c7f2f8b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3f5e323700e1509624a02d151237cc4c"><td class="memItemLeft" align="right" valign="top"><a id="a3f5e323700e1509624a02d151237cc4c" name="a3f5e323700e1509624a02d151237cc4c"></a>
double </td><td class="memItemRight" valign="bottom"><b>xmax</b> () const</td></tr>
<tr class="separator:a3f5e323700e1509624a02d151237cc4c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9d06f61bd89faa841e011ff53edf745f"><td class="memItemLeft" align="right" valign="top"><a id="a9d06f61bd89faa841e011ff53edf745f" name="a9d06f61bd89faa841e011ff53edf745f"></a>
double </td><td class="memItemRight" valign="bottom"><b>ymax</b> () const</td></tr>
<tr class="separator:a9d06f61bd89faa841e011ff53edf745f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a98def8b9515f31ded759d781969ddaf6"><td class="memItemLeft" align="right" valign="top"><a id="a98def8b9515f31ded759d781969ddaf6" name="a98def8b9515f31ded759d781969ddaf6"></a>
double </td><td class="memItemRight" valign="bottom"><b>zmax</b> () const</td></tr>
<tr class="separator:a98def8b9515f31ded759d781969ddaf6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a889ef8d49ebea880d9dd57e7b43adc1e"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Bbox__3.html#a889ef8d49ebea880d9dd57e7b43adc1e">min</a> (int i) const</td></tr>
<tr class="memdesc:a889ef8d49ebea880d9dd57e7b43adc1e"><td class="mdescLeft"> </td><td class="mdescRight">Returns <code><a class="el" href="classCGAL_1_1Bbox__3.html#aab574470a2591f187553ca1166e682e1">xmin()</a></code> if <code>i==0</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a2088e16a1f0a20e011e5b94c2e9c222a">ymin()</a></code> if <code>i==1</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a6c55430abc7fda54571cf1075c7f2f8b">zmin()</a></code> if <code>i==2</code>. <br></td></tr>
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<tr class="memitem:a31e0db170d3506e2f4c7dc258ab14ce8"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Bbox__3.html#a31e0db170d3506e2f4c7dc258ab14ce8">max</a> (int i) const</td></tr>
<tr class="memdesc:a31e0db170d3506e2f4c7dc258ab14ce8"><td class="mdescLeft"> </td><td class="mdescRight">Returns <code><a class="el" href="classCGAL_1_1Bbox__3.html#a3f5e323700e1509624a02d151237cc4c">xmax()</a></code> if <code>i==0</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a9d06f61bd89faa841e011ff53edf745f">ymax()</a></code> if <code>i==1</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a98def8b9515f31ded759d781969ddaf6">zmax()</a></code> if <code>i==2</code>. <br></td></tr>
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<tr class="memitem:aa21c7a764d07d38cf863c81a31114fce"><td class="memItemLeft" align="right" valign="top"><a id="aa21c7a764d07d38cf863c81a31114fce" name="aa21c7a764d07d38cf863c81a31114fce"></a>
<a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> </td><td class="memItemRight" valign="bottom"><b>operator+</b> (const <a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> &c) const</td></tr>
<tr class="memdesc:aa21c7a764d07d38cf863c81a31114fce"><td class="mdescLeft"> </td><td class="mdescRight">returns a bounding box of <code>b</code> and <code>c</code>. <br></td></tr>
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<tr class="memitem:adb5b30cc737e5fde534dc01ab8c0ba3e"><td class="memItemLeft" align="right" valign="top"><a id="adb5b30cc737e5fde534dc01ab8c0ba3e" name="adb5b30cc737e5fde534dc01ab8c0ba3e"></a>
<a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> & </td><td class="memItemRight" valign="bottom"><b>operator+=</b> (const <a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> &c)</td></tr>
<tr class="memdesc:adb5b30cc737e5fde534dc01ab8c0ba3e"><td class="mdescLeft"> </td><td class="mdescRight">updates <code>b</code> to be the bounding box of <code>b</code> and <code>c</code> and returns itself. <br></td></tr>
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<tr class="memitem:a847178c11361c25867381f374fe02983"><td class="memItemLeft" align="right" valign="top"><a id="a847178c11361c25867381f374fe02983" name="a847178c11361c25867381f374fe02983"></a>
void </td><td class="memItemRight" valign="bottom"><b>dilate</b> (int dist)</td></tr>
<tr class="memdesc:a847178c11361c25867381f374fe02983"><td class="mdescLeft"> </td><td class="mdescRight">dilates the bounding box by a specified number of ULP. <br></td></tr>
<tr class="separator:a847178c11361c25867381f374fe02983"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9b2455c128baae69aaa66963d05ba3b3"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Bbox__3.html#a9b2455c128baae69aaa66963d05ba3b3">scale</a> (double factor)</td></tr>
<tr class="memdesc:a9b2455c128baae69aaa66963d05ba3b3"><td class="mdescLeft"> </td><td class="mdescRight">scales the bounding box by <code>factor</code>, while keeping its center fixed. <br></td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>do_overlap</b> (const <a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> &bb1, const <a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> &bb2)</td></tr>
<tr class="memdesc:ga6120c76991e6cae48af410ae07c0f2d7"><td class="mdescLeft"> </td><td class="mdescRight">returns <code>true</code> iff <code>bb1</code> and <code>bb2</code> overlap, i.e., iff their intersection is non-empty. <br></td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a31e0db170d3506e2f4c7dc258ab14ce8">◆ </a></span>max()</h2>
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<td class="memname">double CGAL::Bbox_3::max </td>
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<p>Returns <code><a class="el" href="classCGAL_1_1Bbox__3.html#a3f5e323700e1509624a02d151237cc4c">xmax()</a></code> if <code>i==0</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a9d06f61bd89faa841e011ff53edf745f">ymax()</a></code> if <code>i==1</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a98def8b9515f31ded759d781969ddaf6">zmax()</a></code> if <code>i==2</code>. </p>
<dl class="section pre"><dt>Precondition</dt><dd><code>i>=0</code> and <code>i<=2</code> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a889ef8d49ebea880d9dd57e7b43adc1e">◆ </a></span>min()</h2>
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<td class="memname">double CGAL::Bbox_3::min </td>
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<p>Returns <code><a class="el" href="classCGAL_1_1Bbox__3.html#aab574470a2591f187553ca1166e682e1">xmin()</a></code> if <code>i==0</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a2088e16a1f0a20e011e5b94c2e9c222a">ymin()</a></code> if <code>i==1</code> or <code><a class="el" href="classCGAL_1_1Bbox__3.html#a6c55430abc7fda54571cf1075c7f2f8b">zmin()</a></code> if <code>i==2</code>. </p>
<dl class="section pre"><dt>Precondition</dt><dd><code>i>=0</code> and <code>i<=2</code> </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a9b2455c128baae69aaa66963d05ba3b3">◆ </a></span>scale()</h2>
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<td class="memname">void CGAL::Bbox_3::scale </td>
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<p>scales the bounding box by <code>factor</code>, while keeping its center fixed. </p>
<dl class="section pre"><dt>Precondition</dt><dd><code>factor > 0</code> </dd></dl>
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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a9b38ee256026bdb2d65ba1241c3189af">◆ </a></span>bbox_3() <span class="overload">[1/2]</span></h2>
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template<class <a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> > </div>
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<td class="memname"><a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> bbox_3 </td>
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<td class="paramname"><em>begin</em>, </td>
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<p>returns the bounding box of the objects in the range <code>[first,past_end[</code>. </p>
<p>Each object in the range must have a member function <code>BBox_3 bbox()</code> returning its bounding box. </p>
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template<class <a class="elRef" href="../Manual/classInputIterator.html">InputIterator</a> , class Traits > </div>
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<td class="memname"><a class="el" href="classCGAL_1_1Bbox__3.html">Bbox_3</a> bbox_3 </td>
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<p>returns the bounding box of the objects in the range <code>[first,past_end[</code>. </p>
<p><code>Traits</code> must provide a functor <code>Traits::Construct_bbox_3</code> having an operator returning the bounding box of each object in the range. <code>Traits</code> must also have a member function <code>Traits::Construct_bbox_3 construct_bbox_3_object() const</code>. </p>
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