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.IX Title "CAD::Drawing::Manipulate::Transform 3"
.TH CAD::Drawing::Manipulate::Transform 3 "2008-01-04" "perl v5.8.8" "User Contributed Perl Documentation"
.SH "NAME"
CAD::Drawing::Manipulate::Transform \- Matrix methods for CAD::Drawing
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
Provides 3D transformation methods (based on traditional matrix
algorithms) for Drawing.pm objects.
.SH "Coordinate System"
.IX Header "Coordinate System"
All of these methods assume a RIGHT-HANDED coordinate system.  If you
are using a left-handed coordinate system, you are going to have
trouble, trouble, trouble.  We aren't making video games here!
.SH "AUTHOR"
.IX Header "AUTHOR"
Eric L. Wilhelm <ewilhelm at cpan dot org>
.PP
http://scratchcomputing.com
.SH "COPYRIGHT"
.IX Header "COPYRIGHT"
This module is copyright (C) 2004\-2006 by Eric L. Wilhelm.  Portions
copyright (C) 2003 by Eric L. Wilhelm and A. Zahner Co.
.SH "LICENSE"
.IX Header "LICENSE"
This module is distributed under the same terms as Perl.  See the Perl
source package for details.
.PP
You may use this software under one of the following licenses:
.PP
.Vb 4
\&  (1) GNU General Public License
\&    (found at http://www.gnu.org/copyleft/gpl.html)
\&  (2) Artistic License
\&    (found at http://www.perl.com/pub/language/misc/Artistic.html)
.Ve
.SH "NO WARRANTY"
.IX Header "NO WARRANTY"
This software is distributed with \s-1ABSOLUTELY\s0 \s-1NO\s0 \s-1WARRANTY\s0.  The author,
his former employer, and any other contributors will in no way be held
liable for any loss or damages resulting from its use.
.SH "Modifications"
.IX Header "Modifications"
The source code of this module is made freely available and
distributable under the \s-1GPL\s0 or Artistic License.  Modifications to and
use of this software must adhere to one of these licenses.  Changes to
the code should be noted as such and this notification (as well as the
above copyright information) must remain intact on all copies of the
code.
.PP
Additionally, while the author is actively developing this code,
notification of any intended changes or extensions would be most helpful
in avoiding repeated work for all parties involved.  Please contact the
author with any such development plans.
.SH "SEE ALSO"
.IX Header "SEE ALSO"
.Vb 5
\&  CAD::Drawing
\&  CAD::Drawing::Calculate
\&  CAD::Calc
\&  Math::Vec
\&  Math::Matrix
.Ve
.SH "Methods"
.IX Header "Methods"
.Sh "Transform"
.IX Subsection "Transform"
.Vb 1
\&  $drw->Transform($addr, \e%opts);
.Ve
.PP
Options:
.PP
.Vb 1
\&  normal_ready => [@normal_vec]  # no-questions-asked normal vector input
.Ve
.Sh "build_matrix"
.IX Subsection "build_matrix"
Builds a linear transformation matrix according to \f(CW%opts\fR;
.PP
.Vb 1
\&  $mat = build_matrix(%opts);
.Ve
.IP "Options:" 4
.IX Item "Options:"
.Vb 4
\&  LTM => $ltm                  # pass-through for pre-built matrices
\&  R   => [$rX, $rY, $rZ]       # rotation about each axis
\&  T   => [$tX, $tY, $tZ]       # translation along each axis
\&  S   => [$sX, $sY, $sZ]       # scaling along each axis
.Ve
.IP "Units:" 4
.IX Item "Units:"
Scaling is in decimal (e.g. \f(CW$sX\fR = 0.9 will scale by 90%)
.Sh "NewMat"
.IX Subsection "NewMat"
Calls Math::MatrixReal\->new_from_rows([@_]) see Math::MatrixReal for
methods which can be applied to the returned object.
.PP
.Vb 1
\&  $mat = NewMat(@rows);
.Ve
.Sh "transform_pt"
.IX Subsection "transform_pt"
Applies matrix multiplication to linearly transform \f(CW@pt\fR by \f(CW$mat\fR.  This
eliminates the tedium of making new matrices just to multiply one point.
.PP
.Vb 1
\&  @pt = transform_pt(\e@pt, $mat);
.Ve
.Sh "rotation_matrices"
.IX Subsection "rotation_matrices"
Returns a list of matrices corresponding to ($rX, \f(CW$rY\fR, \f(CW$rZ\fR) 
.PP
Rotation is in ccw radians about each axis (right\-hand rule) except
that they may be specified in degrees with \f(CW$angle\fR . \*(L"d\*(R"
.PP
.Vb 1
\&  @rotations = rotation_matrices($rX, $rY, $rZ);
.Ve
.PP
Resulting matrix will perform rotations in Z,Y,X order.
.Sh "translation_matrix"
.IX Subsection "translation_matrix"
Builds a linear transformation tranlation matrix from \f(CW@trans\fR, where
\&\f(CW@trans\fR = ($trX, \f(CW$trY\fR, \f(CW$trZ\fR).
.PP
.Vb 1
\&  $mat = translation_matrix(@trans);
.Ve
.Sh "scaling_matrix"
.IX Subsection "scaling_matrix"
Builds a linear tranformation matrix from \f(CW@scales\fR, where \f(CW@scales\fR =
($sX, \f(CW$sY\fR, \f(CW$sZ\fR).
.PP
.Vb 1
\&  $mat = scaling_matrix(@scales);
.Ve