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<title>Qt 4.8: QVector4D Class Reference</title>
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<li class="level1"><a href="#public-functions">Public Functions</a></li>
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<h1 class="title">QVector4D Class Reference</h1>
<!-- $$$QVector4D-brief -->
<p>The QVector4D class represents a vector or vertex in 4D space. <a href="#details">More...</a></p>
<!-- @@@QVector4D -->
<pre class="cpp"> <span class="preprocessor">#include <QVector4D></span></pre><p>This class was introduced in Qt 4.6.</p>
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<li><a href="qvector4d-members.html">List of all members, including inherited members</a></li>
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<a name="public-functions"></a>
<h2>Public Functions</h2>
<table class="alignedsummary">
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D">QVector4D</a></b> ()</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-2">QVector4D</a></b> ( qreal <i>xpos</i>, qreal <i>ypos</i>, qreal <i>zpos</i>, qreal <i>wpos</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-3">QVector4D</a></b> ( const QPoint & <i>point</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-4">QVector4D</a></b> ( const QPointF & <i>point</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-5">QVector4D</a></b> ( const QVector2D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-6">QVector4D</a></b> ( const QVector2D & <i>vector</i>, qreal <i>zpos</i>, qreal <i>wpos</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-7">QVector4D</a></b> ( const QVector3D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#QVector4D-8">QVector4D</a></b> ( const QVector3D & <i>vector</i>, qreal <i>wpos</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> bool </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#isNull">isNull</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#length">length</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#lengthSquared">lengthSquared</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> void </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#normalize">normalize</a></b> ()</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#normalized">normalized</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> void </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#setW">setW</a></b> ( qreal <i>w</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> void </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#setX">setX</a></b> ( qreal <i>x</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> void </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#setY">setY</a></b> ( qreal <i>y</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> void </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#setZ">setZ</a></b> ( qreal <i>z</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QPoint </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#toPoint">toPoint</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QPointF </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#toPointF">toPointF</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector2D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#toVector2D">toVector2D</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector2D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#toVector2DAffine">toVector2DAffine</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector3D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#toVector3D">toVector3D</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector3D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#toVector3DAffine">toVector3DAffine</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#w">w</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#x">x</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#y">y</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#z">z</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-QVariant">operator QVariant</a></b> () const</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector4D & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2a-eq">operator*=</a></b> ( qreal <i>factor</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector4D & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2a-eq-2">operator*=</a></b> ( const QVector4D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector4D & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2b-eq">operator+=</a></b> ( const QVector4D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector4D & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator--eq">operator-=</a></b> ( const QVector4D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QVector4D & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2f-eq">operator/=</a></b> ( qreal <i>divisor</i> )</td></tr>
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<a name="static-public-members"></a>
<h2>Static Public Members</h2>
<table class="alignedsummary">
<tr><td class="memItemLeft rightAlign topAlign"> qreal </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#dotProduct">dotProduct</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
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<a name="related-non-members"></a>
<h2>Related Non-Members</h2>
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<tr><td class="memItemLeft rightAlign topAlign"> bool </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#qFuzzyCompare-8">qFuzzyCompare</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> bool </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-not-eq-28">operator!=</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2a-47">operator*</a></b> ( qreal <i>factor</i>, const QVector4D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2a-48">operator*</a></b> ( const QVector4D & <i>vector</i>, qreal <i>factor</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2a-49">operator*</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2b-16">operator+</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator--14">operator-</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator--19">operator-</a></b> ( const QVector4D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> const QVector4D </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-2f-9">operator/</a></b> ( const QVector4D & <i>vector</i>, qreal <i>divisor</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QDataStream & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-lt-lt-121">operator<<</a></b> ( QDataStream & <i>stream</i>, const QVector4D & <i>vector</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> bool </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-eq-eq-44">operator==</a></b> ( const QVector4D & <i>v1</i>, const QVector4D & <i>v2</i> )</td></tr>
<tr><td class="memItemLeft rightAlign topAlign"> QDataStream & </td><td class="memItemRight bottomAlign"><b><a href="qvector4d.html#operator-gt-gt-63">operator>></a></b> ( QDataStream & <i>stream</i>, QVector4D & <i>vector</i> )</td></tr>
</table>
<a name="details"></a>
<!-- $$$QVector4D-description -->
<div class="descr">
<h2>Detailed Description</h2>
<p>The QVector4D class represents a vector or vertex in 4D space.</p>
<p>The QVector4D class can also be used to represent vertices in 4D space. We therefore do not need to provide a separate vertex class.</p>
<p><b>Note:</b> By design values in the QVector4D instance are stored as <tt>float</tt>. This means that on platforms where the <tt>qreal</tt> arguments to QVector4D functions are represented by <tt>double</tt> values, it is possible to lose precision.</p>
</div>
<p><b>See also </b><a href="qquaternion.html">QQuaternion</a>, <a href="qvector2d.html">QVector2D</a>, and <a href="qvector3d.html">QVector3D</a>.</p>
<!-- @@@QVector4D -->
<div class="func">
<h2>Member Function Documentation</h2>
<!-- $$$QVector4D[overload1]$$$QVector4D -->
<h3 class="fn"><a name="QVector4D"></a>QVector4D::<span class="name">QVector4D</span> ()</h3>
<p>Constructs a null vector, i.e. with coordinates (0, 0, 0, 0).</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4Dqrealqrealqrealqreal -->
<h3 class="fn"><a name="QVector4D-2"></a>QVector4D::<span class="name">QVector4D</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>xpos</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>ypos</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>zpos</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>wpos</i> )</h3>
<p>Constructs a vector with coordinates (<i>xpos</i>, <i>ypos</i>, <i>zpos</i>, <i>wpos</i>).</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4DconstQPoint& -->
<h3 class="fn"><a name="QVector4D-3"></a>QVector4D::<span class="name">QVector4D</span> ( const <span class="type"><a href="qpoint.html">QPoint</a></span> & <i>point</i> )</h3>
<p>Constructs a vector with x and y coordinates from a 2D <i>point</i>, and z and w coordinates of 0.</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4DconstQPointF& -->
<h3 class="fn"><a name="QVector4D-4"></a>QVector4D::<span class="name">QVector4D</span> ( const <span class="type"><a href="qpointf.html">QPointF</a></span> & <i>point</i> )</h3>
<p>Constructs a vector with x and y coordinates from a 2D <i>point</i>, and z and w coordinates of 0.</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4DconstQVector2D& -->
<h3 class="fn"><a name="QVector4D-5"></a>QVector4D::<span class="name">QVector4D</span> ( const <span class="type"><a href="qvector2d.html">QVector2D</a></span> & <i>vector</i> )</h3>
<p>Constructs a 4D vector from the specified 2D <i>vector</i>. The z and w coordinates are set to zero.</p>
<p><b>See also </b><a href="qvector4d.html#toVector2D">toVector2D</a>().</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4DconstQVector2D&qrealqreal -->
<h3 class="fn"><a name="QVector4D-6"></a>QVector4D::<span class="name">QVector4D</span> ( const <span class="type"><a href="qvector2d.html">QVector2D</a></span> & <i>vector</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>zpos</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>wpos</i> )</h3>
<p>Constructs a 4D vector from the specified 2D <i>vector</i>. The z and w coordinates are set to <i>zpos</i> and <i>wpos</i> respectively.</p>
<p><b>See also </b><a href="qvector4d.html#toVector2D">toVector2D</a>().</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4DconstQVector3D& -->
<h3 class="fn"><a name="QVector4D-7"></a>QVector4D::<span class="name">QVector4D</span> ( const <span class="type"><a href="qvector3d.html">QVector3D</a></span> & <i>vector</i> )</h3>
<p>Constructs a 4D vector from the specified 3D <i>vector</i>. The w coordinate is set to zero.</p>
<p><b>See also </b><a href="qvector4d.html#toVector3D">toVector3D</a>().</p>
<!-- @@@QVector4D -->
<!-- $$$QVector4D$$$QVector4DconstQVector3D&qreal -->
<h3 class="fn"><a name="QVector4D-8"></a>QVector4D::<span class="name">QVector4D</span> ( const <span class="type"><a href="qvector3d.html">QVector3D</a></span> & <i>vector</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>wpos</i> )</h3>
<p>Constructs a 4D vector from the specified 3D <i>vector</i>. The w coordinate is set to <i>wpos</i>.</p>
<p><b>See also </b><a href="qvector4d.html#toVector3D">toVector3D</a>().</p>
<!-- @@@QVector4D -->
<!-- $$$dotProduct[overload1]$$$dotProductconstQVector4D&constQVector4D& -->
<h3 class="fn"><a name="dotProduct"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">dotProduct</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )<tt> [static]</tt></h3>
<p>Returns the dot product of <i>v1</i> and <i>v2</i>.</p>
<!-- @@@dotProduct -->
<!-- $$$isNull[overload1]$$$isNull -->
<h3 class="fn"><a name="isNull"></a><span class="type">bool</span> QVector4D::<span class="name">isNull</span> () const</h3>
<p>Returns true if the x, y, z, and w coordinates are set to 0.0, otherwise returns false.</p>
<!-- @@@isNull -->
<!-- $$$length[overload1]$$$length -->
<h3 class="fn"><a name="length"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">length</span> () const</h3>
<p>Returns the length of the vector from the origin.</p>
<p><b>See also </b><a href="qvector4d.html#lengthSquared">lengthSquared</a>() and <a href="qvector4d.html#normalized">normalized</a>().</p>
<!-- @@@length -->
<!-- $$$lengthSquared[overload1]$$$lengthSquared -->
<h3 class="fn"><a name="lengthSquared"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">lengthSquared</span> () const</h3>
<p>Returns the squared length of the vector from the origin. This is equivalent to the dot product of the vector with itself.</p>
<p><b>See also </b><a href="qvector4d.html#length">length</a>() and <a href="qvector4d.html#dotProduct">dotProduct</a>().</p>
<!-- @@@lengthSquared -->
<!-- $$$normalize[overload1]$$$normalize -->
<h3 class="fn"><a name="normalize"></a><span class="type">void</span> QVector4D::<span class="name">normalize</span> ()</h3>
<p>Normalizes the currect vector in place. Nothing happens if this vector is a null vector or the length of the vector is very close to 1.</p>
<p><b>See also </b><a href="qvector4d.html#length">length</a>() and <a href="qvector4d.html#normalized">normalized</a>().</p>
<!-- @@@normalize -->
<!-- $$$normalized[overload1]$$$normalized -->
<h3 class="fn"><a name="normalized"></a><span class="type">QVector4D</span> QVector4D::<span class="name">normalized</span> () const</h3>
<p>Returns the normalized unit vector form of this vector.</p>
<p>If this vector is null, then a null vector is returned. If the length of the vector is very close to 1, then the vector will be returned as-is. Otherwise the normalized form of the vector of length 1 will be returned.</p>
<p><b>See also </b><a href="qvector4d.html#length">length</a>() and <a href="qvector4d.html#normalize">normalize</a>().</p>
<!-- @@@normalized -->
<!-- $$$setW[overload1]$$$setWqreal -->
<h3 class="fn"><a name="setW"></a><span class="type">void</span> QVector4D::<span class="name">setW</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>w</i> )</h3>
<p>Sets the w coordinate of this point to the given <i>w</i> coordinate.</p>
<p><b>See also </b><a href="qvector4d.html#w">w</a>(), <a href="qvector4d.html#setX">setX</a>(), <a href="qvector4d.html#setY">setY</a>(), and <a href="qvector4d.html#setZ">setZ</a>().</p>
<!-- @@@setW -->
<!-- $$$setX[overload1]$$$setXqreal -->
<h3 class="fn"><a name="setX"></a><span class="type">void</span> QVector4D::<span class="name">setX</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>x</i> )</h3>
<p>Sets the x coordinate of this point to the given <i>x</i> coordinate.</p>
<p><b>See also </b><a href="qvector4d.html#x">x</a>(), <a href="qvector4d.html#setY">setY</a>(), <a href="qvector4d.html#setZ">setZ</a>(), and <a href="qvector4d.html#setW">setW</a>().</p>
<!-- @@@setX -->
<!-- $$$setY[overload1]$$$setYqreal -->
<h3 class="fn"><a name="setY"></a><span class="type">void</span> QVector4D::<span class="name">setY</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>y</i> )</h3>
<p>Sets the y coordinate of this point to the given <i>y</i> coordinate.</p>
<p><b>See also </b><a href="qvector4d.html#y">y</a>(), <a href="qvector4d.html#setX">setX</a>(), <a href="qvector4d.html#setZ">setZ</a>(), and <a href="qvector4d.html#setW">setW</a>().</p>
<!-- @@@setY -->
<!-- $$$setZ[overload1]$$$setZqreal -->
<h3 class="fn"><a name="setZ"></a><span class="type">void</span> QVector4D::<span class="name">setZ</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>z</i> )</h3>
<p>Sets the z coordinate of this point to the given <i>z</i> coordinate.</p>
<p><b>See also </b><a href="qvector4d.html#z">z</a>(), <a href="qvector4d.html#setX">setX</a>(), <a href="qvector4d.html#setY">setY</a>(), and <a href="qvector4d.html#setW">setW</a>().</p>
<!-- @@@setZ -->
<!-- $$$toPoint[overload1]$$$toPoint -->
<h3 class="fn"><a name="toPoint"></a><span class="type"><a href="qpoint.html">QPoint</a></span> QVector4D::<span class="name">toPoint</span> () const</h3>
<p>Returns the <a href="qpoint.html">QPoint</a> form of this 4D vector. The z and w coordinates are dropped.</p>
<p><b>See also </b><a href="qvector4d.html#toPointF">toPointF</a>() and <a href="qvector4d.html#toVector2D">toVector2D</a>().</p>
<!-- @@@toPoint -->
<!-- $$$toPointF[overload1]$$$toPointF -->
<h3 class="fn"><a name="toPointF"></a><span class="type"><a href="qpointf.html">QPointF</a></span> QVector4D::<span class="name">toPointF</span> () const</h3>
<p>Returns the <a href="qpointf.html">QPointF</a> form of this 4D vector. The z and w coordinates are dropped.</p>
<p><b>See also </b><a href="qvector4d.html#toPoint">toPoint</a>() and <a href="qvector4d.html#toVector2D">toVector2D</a>().</p>
<!-- @@@toPointF -->
<!-- $$$toVector2D[overload1]$$$toVector2D -->
<h3 class="fn"><a name="toVector2D"></a><span class="type"><a href="qvector2d.html">QVector2D</a></span> QVector4D::<span class="name">toVector2D</span> () const</h3>
<p>Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.</p>
<p><b>See also </b><a href="qvector4d.html#toVector2DAffine">toVector2DAffine</a>(), <a href="qvector4d.html#toVector3D">toVector3D</a>(), and <a href="qvector4d.html#toPoint">toPoint</a>().</p>
<!-- @@@toVector2D -->
<!-- $$$toVector2DAffine[overload1]$$$toVector2DAffine -->
<h3 class="fn"><a name="toVector2DAffine"></a><span class="type"><a href="qvector2d.html">QVector2D</a></span> QVector4D::<span class="name">toVector2DAffine</span> () const</h3>
<p>Returns the 2D vector form of this 4D vector, dividing the x and y coordinates by the w coordinate and dropping the z coordinate. Returns a null vector if w is zero.</p>
<p><b>See also </b><a href="qvector4d.html#toVector2D">toVector2D</a>(), <a href="qvector4d.html#toVector3DAffine">toVector3DAffine</a>(), and <a href="qvector4d.html#toPoint">toPoint</a>().</p>
<!-- @@@toVector2DAffine -->
<!-- $$$toVector3D[overload1]$$$toVector3D -->
<h3 class="fn"><a name="toVector3D"></a><span class="type"><a href="qvector3d.html">QVector3D</a></span> QVector4D::<span class="name">toVector3D</span> () const</h3>
<p>Returns the 3D vector form of this 4D vector, dropping the w coordinate.</p>
<p><b>See also </b><a href="qvector4d.html#toVector3DAffine">toVector3DAffine</a>(), <a href="qvector4d.html#toVector2D">toVector2D</a>(), and <a href="qvector4d.html#toPoint">toPoint</a>().</p>
<!-- @@@toVector3D -->
<!-- $$$toVector3DAffine[overload1]$$$toVector3DAffine -->
<h3 class="fn"><a name="toVector3DAffine"></a><span class="type"><a href="qvector3d.html">QVector3D</a></span> QVector4D::<span class="name">toVector3DAffine</span> () const</h3>
<p>Returns the 3D vector form of this 4D vector, dividing the x, y, and z coordinates by the w coordinate. Returns a null vector if w is zero.</p>
<p><b>See also </b><a href="qvector4d.html#toVector3D">toVector3D</a>(), <a href="qvector4d.html#toVector2DAffine">toVector2DAffine</a>(), and <a href="qvector4d.html#toPoint">toPoint</a>().</p>
<!-- @@@toVector3DAffine -->
<!-- $$$w[overload1]$$$w -->
<h3 class="fn"><a name="w"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">w</span> () const</h3>
<p>Returns the w coordinate of this point.</p>
<p><b>See also </b><a href="qvector4d.html#setW">setW</a>(), <a href="qvector4d.html#x">x</a>(), <a href="qvector4d.html#y">y</a>(), and <a href="qvector4d.html#z">z</a>().</p>
<!-- @@@w -->
<!-- $$$x[overload1]$$$x -->
<h3 class="fn"><a name="x"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">x</span> () const</h3>
<p>Returns the x coordinate of this point.</p>
<p><b>See also </b><a href="qvector4d.html#setX">setX</a>(), <a href="qvector4d.html#y">y</a>(), <a href="qvector4d.html#z">z</a>(), and <a href="qvector4d.html#w">w</a>().</p>
<!-- @@@x -->
<!-- $$$y[overload1]$$$y -->
<h3 class="fn"><a name="y"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">y</span> () const</h3>
<p>Returns the y coordinate of this point.</p>
<p><b>See also </b><a href="qvector4d.html#setY">setY</a>(), <a href="qvector4d.html#x">x</a>(), <a href="qvector4d.html#z">z</a>(), and <a href="qvector4d.html#w">w</a>().</p>
<!-- @@@y -->
<!-- $$$z[overload1]$$$z -->
<h3 class="fn"><a name="z"></a><span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> QVector4D::<span class="name">z</span> () const</h3>
<p>Returns the z coordinate of this point.</p>
<p><b>See also </b><a href="qvector4d.html#setZ">setZ</a>(), <a href="qvector4d.html#x">x</a>(), <a href="qvector4d.html#y">y</a>(), and <a href="qvector4d.html#w">w</a>().</p>
<!-- @@@z -->
<!-- $$$operator QVariant[overload1]$$$operator QVariant -->
<h3 class="fn"><a name="operator-QVariant"></a>QVector4D::<span class="name">operator QVariant</span> () const</h3>
<p>Returns the 4D vector as a <a href="qvariant.html">QVariant</a>.</p>
<!-- @@@operator QVariant -->
<!-- $$$operator*=[overload1]$$$operator*=qreal -->
<h3 class="fn"><a name="operator-2a-eq"></a><span class="type">QVector4D</span> & QVector4D::<span class="name">operator*=</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>factor</i> )</h3>
<p>Multiplies this vector's coordinates by the given <i>factor</i>, and returns a reference to this vector.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2f-eq">operator/=</a>().</p>
<!-- @@@operator*= -->
<!-- $$$operator*=$$$operator*=constQVector4D& -->
<h3 class="fn"><a name="operator-2a-eq-2"></a><span class="type">QVector4D</span> & QVector4D::<span class="name">operator*=</span> ( const <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>Multiplies the components of this vector by the corresponding components in <i>vector</i>.</p>
<!-- @@@operator*= -->
<!-- $$$operator+=[overload1]$$$operator+=constQVector4D& -->
<h3 class="fn"><a name="operator-2b-eq"></a><span class="type">QVector4D</span> & QVector4D::<span class="name">operator+=</span> ( const <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>Adds the given <i>vector</i> to this vector and returns a reference to this vector.</p>
<p><b>See also </b><a href="qvector4d.html#operator--eq">operator-=</a>().</p>
<!-- @@@operator+= -->
<!-- $$$operator-=[overload1]$$$operator-=constQVector4D& -->
<h3 class="fn"><a name="operator--eq"></a><span class="type">QVector4D</span> & QVector4D::<span class="name">operator-=</span> ( const <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>Subtracts the given <i>vector</i> from this vector and returns a reference to this vector.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2b-eq">operator+=</a>().</p>
<!-- @@@operator-= -->
<!-- $$$operator/=[overload1]$$$operator/=qreal -->
<h3 class="fn"><a name="operator-2f-eq"></a><span class="type">QVector4D</span> & QVector4D::<span class="name">operator/=</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>divisor</i> )</h3>
<p>Divides this vector's coordinates by the given <i>divisor</i>, and returns a reference to this vector.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2a-eq">operator*=</a>().</p>
<!-- @@@operator/= -->
</div>
<div class="relnonmem">
<h2>Related Non-Members</h2>
<!-- $$$qFuzzyCompare$$$qFuzzyCompareconstQVector4D&constQVector4D& -->
<h3 class="fn"><a name="qFuzzyCompare-8"></a><span class="type">bool</span> <span class="name">qFuzzyCompare</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )</h3>
<p>Returns true if <i>v1</i> and <i>v2</i> are equal, allowing for a small fuzziness factor for floating-point comparisons; false otherwise.</p>
<!-- @@@qFuzzyCompare -->
<!-- $$$operator!=$$$operator!=constQVector4D&constQVector4D& -->
<h3 class="fn"><a name="operator-not-eq-28"></a><span class="type">bool</span> <span class="name">operator!=</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )</h3>
<p>Returns true if <i>v1</i> is not equal to <i>v2</i>; otherwise returns false. This operator uses an exact floating-point comparison.</p>
<!-- @@@operator!= -->
<!-- $$$operator*$$$operator*qrealconstQVector4D& -->
<h3 class="fn"><a name="operator-2a-47"></a>const <span class="type">QVector4D</span> <span class="name">operator*</span> ( <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>factor</i>, const <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>Returns a copy of the given <i>vector</i>, multiplied by the given <i>factor</i>.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2a-eq">QVector4D::operator*=</a>().</p>
<!-- @@@operator* -->
<!-- $$$operator*$$$operator*constQVector4D&qreal -->
<h3 class="fn"><a name="operator-2a-48"></a>const <span class="type">QVector4D</span> <span class="name">operator*</span> ( const <span class="type">QVector4D</span> & <i>vector</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>factor</i> )</h3>
<p>Returns a copy of the given <i>vector</i>, multiplied by the given <i>factor</i>.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2a-eq">QVector4D::operator*=</a>().</p>
<!-- @@@operator* -->
<!-- $$$operator*$$$operator*constQVector4D&constQVector4D& -->
<h3 class="fn"><a name="operator-2a-49"></a>const <span class="type">QVector4D</span> <span class="name">operator*</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )</h3>
<p>Returns the vector consisting of the multiplication of the components from <i>v1</i> and <i>v2</i>.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2a-eq">QVector4D::operator*=</a>().</p>
<!-- @@@operator* -->
<!-- $$$operator+$$$operator+constQVector4D&constQVector4D& -->
<h3 class="fn"><a name="operator-2b-16"></a>const <span class="type">QVector4D</span> <span class="name">operator+</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )</h3>
<p>Returns a <a href="qvector4d.html">QVector4D</a> object that is the sum of the given vectors, <i>v1</i> and <i>v2</i>; each component is added separately.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2b-eq">QVector4D::operator+=</a>().</p>
<!-- @@@operator+ -->
<!-- $$$operator-$$$operator-constQVector4D&constQVector4D& -->
<h3 class="fn"><a name="operator--14"></a>const <span class="type">QVector4D</span> <span class="name">operator-</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )</h3>
<p>Returns a <a href="qvector4d.html">QVector4D</a> object that is formed by subtracting <i>v2</i> from <i>v1</i>; each component is subtracted separately.</p>
<p><b>See also </b><a href="qvector4d.html#operator--eq">QVector4D::operator-=</a>().</p>
<!-- @@@operator- -->
<!-- $$$operator-$$$operator-constQVector4D& -->
<h3 class="fn"><a name="operator--19"></a>const <span class="type">QVector4D</span> <span class="name">operator-</span> ( const <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>This is an overloaded function.</p>
<p>Returns a <a href="qvector4d.html">QVector4D</a> object that is formed by changing the sign of all three components of the given <i>vector</i>.</p>
<p>Equivalent to <tt>QVector4D(0,0,0,0) - vector</tt>.</p>
<!-- @@@operator- -->
<!-- $$$operator/$$$operator/constQVector4D&qreal -->
<h3 class="fn"><a name="operator-2f-9"></a>const <span class="type">QVector4D</span> <span class="name">operator/</span> ( const <span class="type">QVector4D</span> & <i>vector</i>, <span class="type"><a href="qtglobal.html#qreal-typedef">qreal</a></span> <i>divisor</i> )</h3>
<p>Returns the <a href="qvector4d.html">QVector4D</a> object formed by dividing all four components of the given <i>vector</i> by the given <i>divisor</i>.</p>
<p><b>See also </b><a href="qvector4d.html#operator-2f-eq">QVector4D::operator/=</a>().</p>
<!-- @@@operator/ -->
<!-- $$$operator<<$$$operator<<QDataStream&constQVector4D& -->
<h3 class="fn"><a name="operator-lt-lt-121"></a><span class="type"><a href="qdatastream.html">QDataStream</a></span> & <span class="name">operator<<</span> ( <span class="type"><a href="qdatastream.html">QDataStream</a></span> & <i>stream</i>, const <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>Writes the given <i>vector</i> to the given <i>stream</i> and returns a reference to the stream.</p>
<p><b>See also </b><a href="datastreamformat.html">Serializing Qt Data Types</a>.</p>
<!-- @@@operator<< -->
<!-- $$$operator==$$$operator==constQVector4D&constQVector4D& -->
<h3 class="fn"><a name="operator-eq-eq-44"></a><span class="type">bool</span> <span class="name">operator==</span> ( const <span class="type">QVector4D</span> & <i>v1</i>, const <span class="type">QVector4D</span> & <i>v2</i> )</h3>
<p>Returns true if <i>v1</i> is equal to <i>v2</i>; otherwise returns false. This operator uses an exact floating-point comparison.</p>
<!-- @@@operator== -->
<!-- $$$operator>>$$$operator>>QDataStream&QVector4D& -->
<h3 class="fn"><a name="operator-gt-gt-63"></a><span class="type"><a href="qdatastream.html">QDataStream</a></span> & <span class="name">operator>></span> ( <span class="type"><a href="qdatastream.html">QDataStream</a></span> & <i>stream</i>, <span class="type">QVector4D</span> & <i>vector</i> )</h3>
<p>Reads a 4D vector from the given <i>stream</i> into the given <i>vector</i> and returns a reference to the stream.</p>
<p><b>See also </b><a href="datastreamformat.html">Serializing Qt Data Types</a>.</p>
<!-- @@@operator>> -->
</div>
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