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Quaternion (libgdx API)
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<H2>
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com.badlogic.gdx.math</FONT>
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Class Quaternion</H2>
<PRE>
java.lang.Object
<IMG SRC="../../../../resources/inherit.gif" ALT="extended by "><B>com.badlogic.gdx.math.Quaternion</B>
</PRE>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD>java.io.Serializable</DD>
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<DL>
<DT><PRE>public class <B>Quaternion</B><DT>extends java.lang.Object<DT>implements java.io.Serializable</DL>
</PRE>

<P>
A simple quaternion class. See http://en.wikipedia.org/wiki/Quaternion for more information.
<P>

<P>
<DL>
<DT><B>Author:</B></DT>
<DD>badlogicgames@gmail.com, vesuvio</DD>
<DT><B>See Also:</B><DD><A HREF="../../../../serialized-form.html#com.badlogic.gdx.math.Quaternion">Serialized Form</A></DL>
<HR>

<P>


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<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#w">w</A></B></CODE>

<BR>
           </TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#x">x</A></B></CODE>

<BR>
           </TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#y">y</A></B></CODE>

<BR>
           </TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#z">z</A></B></CODE>

<BR>
           </TD>
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<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#Quaternion()">Quaternion</A></B>()</CODE>

<BR>
           </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#Quaternion(float, float, float, float)">Quaternion</A></B>(float x,
float y,
float z,
float w)</CODE>

<BR>
          Constructor, sets the four components of the quaternion.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#Quaternion(com.badlogic.gdx.math.Quaternion)">Quaternion</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> quaternion)</CODE>

<BR>
          Constructor, sets the quaternion components from the given quaternion.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#Quaternion(com.badlogic.gdx.math.Vector3, float)">Quaternion</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> axis,
float angle)</CODE>

<BR>
          Constructor, sets the quaternion from the given axis vector and the angle around that axis in degrees.</TD>
</TR>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#conjugate()">conjugate</A></B>()</CODE>

<BR>
          Conjugate the quaternion.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#cpy()">cpy</A></B>()</CODE>

<BR>
           </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#dot(com.badlogic.gdx.math.Quaternion)">dot</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> other)</CODE>

<BR>
          Dot product between this and the other quaternion.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> boolean</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#equals(java.lang.Object)">equals</A></B>(java.lang.Object o)</CODE>

<BR>
           </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#idt()">idt</A></B>()</CODE>

<BR>
          Sets the quaternion to an identity Quaternion</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#len()">len</A></B>()</CODE>

<BR>
           </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> float</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#len2()">len2</A></B>()</CODE>

<BR>
           </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#mul(float)">mul</A></B>(float scalar)</CODE>

<BR>
          Multiplies the components of this quaternion with the given scalar.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#mul(com.badlogic.gdx.math.Quaternion)">mul</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> q)</CODE>

<BR>
          Multiplies this quaternion with another one</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#mulLeft(com.badlogic.gdx.math.Quaternion)">mulLeft</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> q)</CODE>

<BR>
          Multiplies this quaternion with another one in the form of q * this</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#nor()">nor</A></B>()</CODE>

<BR>
          Normalizes this quaternion to unit length</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#set(float, float, float, float)">set</A></B>(float x,
float y,
float z,
float w)</CODE>

<BR>
          Sets the components of the quaternion</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#set(com.badlogic.gdx.math.Quaternion)">set</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> quaternion)</CODE>

<BR>
          Sets the quaternion components from the given quaternion.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#set(com.badlogic.gdx.math.Vector3, float)">set</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> axis,
float angle)</CODE>

<BR>
          Sets the quaternion components from the given axis and angle around that axis.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setEulerAngles(float, float, float)">setEulerAngles</A></B>(float yaw,
float pitch,
float roll)</CODE>

<BR>
          Sets the quaternion to the given euler angles.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setFromAxes(float, float, float, float, float, float, float, float, float)">setFromAxes</A></B>(float xx,
float xy,
float xz,
float yx,
float yy,
float yz,
float zx,
float zy,
float zz)</CODE>

<BR>
          
Sets the Quaternion from the given x-, y- and z-axis which have to be orthonormal.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setFromAxis(float, float, float, float)">setFromAxis</A></B>(float x,
float y,
float z,
float angle)</CODE>

<BR>
          Sets the quaternion components from the given axis and angle around that axis.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setFromAxis(com.badlogic.gdx.math.Vector3, float)">setFromAxis</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> axis,
float angle)</CODE>

<BR>
          Sets the quaternion components from the given axis and angle around that axis.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setFromCross(float, float, float, float, float, float)">setFromCross</A></B>(float x1,
float y1,
float z1,
float x2,
float y2,
float z2)</CODE>

<BR>
          Set this quaternion to the rotation between two vectors.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setFromCross(com.badlogic.gdx.math.Vector3, com.badlogic.gdx.math.Vector3)">setFromCross</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> v1,
<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> v2)</CODE>

<BR>
          Set this quaternion to the rotation between two vectors.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#setFromMatrix(com.badlogic.gdx.math.Matrix4)">setFromMatrix</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Matrix4.html" title="class in com.badlogic.gdx.math">Matrix4</A> matrix)</CODE>

<BR>
           </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#slerp(com.badlogic.gdx.math.Quaternion, float)">slerp</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> end,
float alpha)</CODE>

<BR>
          Spherical linear interpolation between this quaternion and the other quaternion, based on the alpha value in the range
[0,1].</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#toMatrix(float[])">toMatrix</A></B>(float[] matrix)</CODE>

<BR>
          Fills a 4x4 matrix with the rotation matrix represented by this quaternion.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> java.lang.String</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#toString()">toString</A></B>()</CODE>

<BR>
          </TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE> void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../com/badlogic/gdx/math/Quaternion.html#transform(com.badlogic.gdx.math.Vector3)">transform</A></B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> v)</CODE>

<BR>
          Transforms the given vector using this quaternion</TD>
</TR>
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<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class java.lang.Object</B></TH>
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<TD><CODE>clone, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait</CODE></TD>
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<A NAME="x"></A><H3>
x</H3>
<PRE>
public float <B>x</B></PRE>
<DL>
<DL>
</DL>
</DL>
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<A NAME="y"></A><H3>
y</H3>
<PRE>
public float <B>y</B></PRE>
<DL>
<DL>
</DL>
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<A NAME="z"></A><H3>
z</H3>
<PRE>
public float <B>z</B></PRE>
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<A NAME="w"></A><H3>
w</H3>
<PRE>
public float <B>w</B></PRE>
<DL>
<DL>
</DL>
</DL>



<A NAME="constructor_detail"></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
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<TH ALIGN="left" COLSPAN="1"><FONT SIZE="+2">
<B>Constructor Detail</B></FONT></TH>
</TR>
</TABLE>

<A NAME="Quaternion(float, float, float, float)"></A><H3>
Quaternion</H3>
<PRE>
public <B>Quaternion</B>(float x,
float y,
float z,
float w)</PRE>
<DL>
<DD>Constructor, sets the four components of the quaternion.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - The x-component<DD><CODE>y</CODE> - The y-component<DD><CODE>z</CODE> - The z-component<DD><CODE>w</CODE> - The w-component</DL>
</DL>
<HR>

<A NAME="Quaternion()"></A><H3>
Quaternion</H3>
<PRE>
public <B>Quaternion</B>()</PRE>
<DL>
</DL>
<HR>

<A NAME="Quaternion(com.badlogic.gdx.math.Quaternion)"></A><H3>
Quaternion</H3>
<PRE>
public <B>Quaternion</B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> quaternion)</PRE>
<DL>
<DD>Constructor, sets the quaternion components from the given quaternion.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>quaternion</CODE> - The quaternion to copy.</DL>
</DL>
<HR>

<A NAME="Quaternion(com.badlogic.gdx.math.Vector3, float)"></A><H3>
Quaternion</H3>
<PRE>
public <B>Quaternion</B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> axis,
float angle)</PRE>
<DL>
<DD>Constructor, sets the quaternion from the given axis vector and the angle around that axis in degrees.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>axis</CODE> - The axis<DD><CODE>angle</CODE> - The angle in degrees.</DL>
</DL>



<A NAME="method_detail"></A>
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<B>Method Detail</B></FONT></TH>
</TR>
</TABLE>

<A NAME="set(float, float, float, float)"></A><H3>
set</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>set</B>(float x,
float y,
float z,
float w)</PRE>
<DL>
<DD>Sets the components of the quaternion
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - The x-component<DD><CODE>y</CODE> - The y-component<DD><CODE>z</CODE> - The z-component<DD><CODE>w</CODE> - The w-component
<DT><B>Returns:</B><DD>This quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="set(com.badlogic.gdx.math.Quaternion)"></A><H3>
set</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>set</B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> quaternion)</PRE>
<DL>
<DD>Sets the quaternion components from the given quaternion.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>quaternion</CODE> - The quaternion.
<DT><B>Returns:</B><DD>This quaternion for chaining.</DL>
</DD>
</DL>
<HR>

<A NAME="set(com.badlogic.gdx.math.Vector3, float)"></A><H3>
set</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>set</B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> axis,
float angle)</PRE>
<DL>
<DD>Sets the quaternion components from the given axis and angle around that axis.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>axis</CODE> - The axis<DD><CODE>angle</CODE> - The angle in degrees
<DT><B>Returns:</B><DD>This quaternion for chaining.</DL>
</DD>
</DL>
<HR>

<A NAME="cpy()"></A><H3>
cpy</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>cpy</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>a copy of this quaternion</DL>
</DD>
</DL>
<HR>

<A NAME="len()"></A><H3>
len</H3>
<PRE>
public float <B>len</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the euclidian length of this quaternion</DL>
</DD>
</DL>
<HR>

<A NAME="toString()"></A><H3>
toString</H3>
<PRE>
public java.lang.String <B>toString</B>()</PRE>
<DL>
<DD>
<P>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE>toString</CODE> in class <CODE>java.lang.Object</CODE></DL>
</DD>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="setEulerAngles(float, float, float)"></A><H3>
setEulerAngles</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setEulerAngles</B>(float yaw,
float pitch,
float roll)</PRE>
<DL>
<DD>Sets the quaternion to the given euler angles.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>yaw</CODE> - the yaw in degrees<DD><CODE>pitch</CODE> - the pitch in degress<DD><CODE>roll</CODE> - the roll in degess
<DT><B>Returns:</B><DD>this quaternion</DL>
</DD>
</DL>
<HR>

<A NAME="len2()"></A><H3>
len2</H3>
<PRE>
public float <B>len2</B>()</PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the length of this quaternion without square root</DL>
</DD>
</DL>
<HR>

<A NAME="nor()"></A><H3>
nor</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>nor</B>()</PRE>
<DL>
<DD>Normalizes this quaternion to unit length
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>the quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="conjugate()"></A><H3>
conjugate</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>conjugate</B>()</PRE>
<DL>
<DD>Conjugate the quaternion.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>This quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="transform(com.badlogic.gdx.math.Vector3)"></A><H3>
transform</H3>
<PRE>
public void <B>transform</B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> v)</PRE>
<DL>
<DD>Transforms the given vector using this quaternion
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>v</CODE> - Vector to transform</DL>
</DD>
</DL>
<HR>

<A NAME="mul(com.badlogic.gdx.math.Quaternion)"></A><H3>
mul</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>mul</B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> q)</PRE>
<DL>
<DD>Multiplies this quaternion with another one
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>q</CODE> - Quaternion to multiply with
<DT><B>Returns:</B><DD>This quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="mulLeft(com.badlogic.gdx.math.Quaternion)"></A><H3>
mulLeft</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>mulLeft</B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> q)</PRE>
<DL>
<DD>Multiplies this quaternion with another one in the form of q * this
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>q</CODE> - Quaternion to multiply with
<DT><B>Returns:</B><DD>This quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="toMatrix(float[])"></A><H3>
toMatrix</H3>
<PRE>
public void <B>toMatrix</B>(float[] matrix)</PRE>
<DL>
<DD>Fills a 4x4 matrix with the rotation matrix represented by this quaternion.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>matrix</CODE> - Matrix to fill</DL>
</DD>
</DL>
<HR>

<A NAME="idt()"></A><H3>
idt</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>idt</B>()</PRE>
<DL>
<DD>Sets the quaternion to an identity Quaternion
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>

<DT><B>Returns:</B><DD>this quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="setFromAxis(com.badlogic.gdx.math.Vector3, float)"></A><H3>
setFromAxis</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setFromAxis</B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> axis,
float angle)</PRE>
<DL>
<DD>Sets the quaternion components from the given axis and angle around that axis.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>axis</CODE> - The axis<DD><CODE>angle</CODE> - The angle in degrees
<DT><B>Returns:</B><DD>This quaternion for chaining.</DL>
</DD>
</DL>
<HR>

<A NAME="setFromAxis(float, float, float, float)"></A><H3>
setFromAxis</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setFromAxis</B>(float x,
float y,
float z,
float angle)</PRE>
<DL>
<DD>Sets the quaternion components from the given axis and angle around that axis.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x</CODE> - X direction of the axis<DD><CODE>y</CODE> - Y direction of the axis<DD><CODE>z</CODE> - Z direction of the axis<DD><CODE>angle</CODE> - The angle in degrees
<DT><B>Returns:</B><DD>This quaternion for chaining.</DL>
</DD>
</DL>
<HR>

<A NAME="setFromMatrix(com.badlogic.gdx.math.Matrix4)"></A><H3>
setFromMatrix</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setFromMatrix</B>(<A HREF="../../../../com/badlogic/gdx/math/Matrix4.html" title="class in com.badlogic.gdx.math">Matrix4</A> matrix)</PRE>
<DL>
<DD><DL>
</DL>
</DD>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="setFromAxes(float, float, float, float, float, float, float, float, float)"></A><H3>
setFromAxes</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setFromAxes</B>(float xx,
float xy,
float xz,
float yx,
float yy,
float yz,
float zx,
float zy,
float zz)</PRE>
<DL>
<DD><p>
Sets the Quaternion from the given x-, y- and z-axis which have to be orthonormal.
</p>

<p>
Taken from Bones framework for JPCT, see http://www.aptalkarga.com/bones/ which in turn took it from Graphics Gem code at
ftp://ftp.cis.upenn.edu/pub/graphics/shoemake/quatut.ps.Z.
</p>
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>xx</CODE> - x-axis x-coordinate<DD><CODE>xy</CODE> - x-axis y-coordinate<DD><CODE>xz</CODE> - x-axis z-coordinate<DD><CODE>yx</CODE> - y-axis x-coordinate<DD><CODE>yy</CODE> - y-axis y-coordinate<DD><CODE>yz</CODE> - y-axis z-coordinate<DD><CODE>zx</CODE> - z-axis x-coordinate<DD><CODE>zy</CODE> - z-axis y-coordinate<DD><CODE>zz</CODE> - z-axis z-coordinate</DL>
</DD>
</DL>
<HR>

<A NAME="setFromCross(com.badlogic.gdx.math.Vector3, com.badlogic.gdx.math.Vector3)"></A><H3>
setFromCross</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setFromCross</B>(<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> v1,
<A HREF="../../../../com/badlogic/gdx/math/Vector3.html" title="class in com.badlogic.gdx.math">Vector3</A> v2)</PRE>
<DL>
<DD>Set this quaternion to the rotation between two vectors.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>v1</CODE> - The base vector<DD><CODE>v2</CODE> - The target vector
<DT><B>Returns:</B><DD>This quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="setFromCross(float, float, float, float, float, float)"></A><H3>
setFromCross</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>setFromCross</B>(float x1,
float y1,
float z1,
float x2,
float y2,
float z2)</PRE>
<DL>
<DD>Set this quaternion to the rotation between two vectors.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>x1</CODE> - The base vectors x value<DD><CODE>y1</CODE> - The base vectors y value<DD><CODE>z1</CODE> - The base vectors z value<DD><CODE>x2</CODE> - The target vector x value<DD><CODE>y2</CODE> - The target vector y value<DD><CODE>z2</CODE> - The target vector z value
<DT><B>Returns:</B><DD>This quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="slerp(com.badlogic.gdx.math.Quaternion, float)"></A><H3>
slerp</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>slerp</B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> end,
float alpha)</PRE>
<DL>
<DD>Spherical linear interpolation between this quaternion and the other quaternion, based on the alpha value in the range
[0,1]. Taken from. Taken from Bones framework for JPCT, see http://www.aptalkarga.com/bones/
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>end</CODE> - the end quaternion<DD><CODE>alpha</CODE> - alpha in the range [0,1]
<DT><B>Returns:</B><DD>this quaternion for chaining</DL>
</DD>
</DL>
<HR>

<A NAME="equals(java.lang.Object)"></A><H3>
equals</H3>
<PRE>
public boolean <B>equals</B>(java.lang.Object o)</PRE>
<DL>
<DD><DL>
<DT><B>Overrides:</B><DD><CODE>equals</CODE> in class <CODE>java.lang.Object</CODE></DL>
</DD>
<DD><DL>
</DL>
</DD>
</DL>
<HR>

<A NAME="dot(com.badlogic.gdx.math.Quaternion)"></A><H3>
dot</H3>
<PRE>
public float <B>dot</B>(<A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> other)</PRE>
<DL>
<DD>Dot product between this and the other quaternion.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>other</CODE> - the other quaternion.
<DT><B>Returns:</B><DD>this quaternion for chaining.</DL>
</DD>
</DL>
<HR>

<A NAME="mul(float)"></A><H3>
mul</H3>
<PRE>
public <A HREF="../../../../com/badlogic/gdx/math/Quaternion.html" title="class in com.badlogic.gdx.math">Quaternion</A> <B>mul</B>(float scalar)</PRE>
<DL>
<DD>Multiplies the components of this quaternion with the given scalar.
<P>
<DD><DL>
</DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>scalar</CODE> - the scalar.
<DT><B>Returns:</B><DD>this quaternion for chaining.</DL>
</DD>
</DL>

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