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<div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
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<A NAME="DMPlexCreateBasisRotation"><H1>DMPlexCreateBasisRotation</H1></A>
Create an internal transformation from the global basis, used to specify boundary conditions and global solutions, to a local basis, appropriate for discretization integrals and assembly.
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscdmplex.h"
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DMPLEX/DMPlexCreateBasisRotation.html#DMPlexCreateBasisRotation">DMPlexCreateBasisRotation</A>(<A HREF="../DM/DM.html#DM">DM</A> dm, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> alpha, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> beta, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> gamma)
</PRE>
<H3><FONT COLOR="#CC3333">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>dm </B></TD><TD>- The <A HREF="../DM/DM.html#DM">DM</A>
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>alpha </B></TD><TD>- The first Euler angle, and in 2D the only one
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>beta </B></TD><TD>- The second Euler angle
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>gamma </B></TD><TD>- The third Euler angle
</TD></TR></TABLE>
<P>
Note: Following https://en.wikipedia.org/wiki/Euler_angles, we will specify Euler angles by extrinsic rotations, meaning that
<H3><FONT COLOR="#CC3333">we rotate with respect to a fixed initial coordinate system, the local basis (x-y-z). The global basis (X-Y-Z) is reached as follows</FONT></H3>
$ The XYZ system rotates about the z axis by alpha. The X axis is now at angle alpha with respect to the x axis.
$ The XYZ system rotates again about the x axis by beta. The Z axis is now at angle beta with respect to the z axis.
$ The XYZ system rotates a third time about the z axis by gamma.
<P>
<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
<A HREF="../DMPLEX/DMPlexGlobalToLocalBasis.html#DMPlexGlobalToLocalBasis">DMPlexGlobalToLocalBasis</A>(), <A HREF="../DMPLEX/DMPlexLocalToGlobalBasis.html#DMPlexLocalToGlobalBasis">DMPlexLocalToGlobalBasis</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>developer<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/impls/plex/plexfem.c.html#DMPlexCreateBasisRotation">src/dm/impls/plex/plexfem.c</A>
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