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Tessellation(3)	      User Contributed Perl Documentation      Tessellation(3)

NAME
       OpenGL::Tessellation - discussion of tessellation in POGL

SYNOPSIS
	   # somewhere in your drawing routine or drawlist compilation

	   my $tess = gluNewTess();

	   gluTessCallback($tess, GLU_TESS_BEGIN,     'DEFAULT');
	   gluTessCallback($tess, GLU_TESS_END,	      'DEFAULT');
	   gluTessCallback($tess, GLU_TESS_VERTEX,    'DEFAULT');
	   gluTessCallback($tess, GLU_TESS_COMBINE,   'DEFAULT');
	   gluTessCallback($tess, GLU_TESS_ERROR,     'DEFAULT');
	   gluTessCallback($tess, GLU_TESS_EDGE_FLAG, 'DEFAULT');

	   gluTessBeginPolygon($tess);
	   gluTessBeginContour($tess);

	   gluTessVertex_p($tess, 0,	 200, 0);
	   gluTessVertex_p($tess, 150,	-200, 0);
	   gluTessVertex_p($tess, 0,	-100, 0);
	   gluTessVertex_p($tess, -150, -200, 0);

	   gluTessEndContour($tess);
	   gluTessEndPolygon($tess);

	   gluDeleteTess($tess);

DESCRIPTION
       OpenGL rendering hardware typically does not have support for drawing
       concave polygons or drawing polygons with windows.  OpenGL provides glu
       extentions that allow for translating concave polygon vertices into
       triangles that can be rendered quickly on GL hardware.  The OpenGL red
       book chapter 11 has the full discussion of Tessellators and the OpenGL
       functions (http://glprogramming.com/red/chapter11.html, or use your
       favorite search engine and search for "opengl gluNewTess").  It is a
       good idea to read that chapter before reading the rest of this
       document.

       As much as possible, the POGL implementation of the tessellation
       functions tries to remain faithful to the OpenGL specification.	Where
       it doesn't match exactly, POGL follows the spirit of the specification,
       but offloads what it can to c based implementations.

       Tessellation functions are safe to call during drawlist creation.  It
       is advisable to use drawlists, or to store the generated polygon data
       into OpenGL::Array objects as these methods offer faster redraws.

FUNCTIONS
       "gluNewTess"
	       my $tess = gluNewTess();

	   Returns a reference that can be passed to the remaining tesselation
	   functions.

	   Note: this isn't the c-reference returned by the normal
	   gluNewTess() c function, it is a struct which contains that
	   reference as well as other members allowing callbacks to interface
	   cleanly with the perl code.	This means that if you have loaded
	   other c-libraries that use standard opengl tessellation, you will
	   not be able to use this perl reference directly.

	   The POGL implementation of gluNewTess() allows for two additional
	   parameters to be passed.  The first is a boolean value indicating
	   that default c callbacks and perl callbacks should be passed rgba
	   color data.	The second is a boolean value indicating that xyz
	   normal data should be passed.  Eventually one additional flag
	   indicating that texture data should be passed will be added as
	   well.

	       my $tess = gluNewTess();
	       # gluTessVertex_p should be passed only x,y,z vertex data
	       # as in gluTessVertex_p($tess, $x, $y, $z);

	       my $tess = gluNewTess('do_colors');
	       # gluTessVertex_p should be passed x,y,z AND r,g,b,a vertex data
	       # as in gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a);

	       my $tess = gluNewTess('do_colors', 'do_normals');
	       # gluTessVertex_p should be passed x,y,z AND r,g,b,a AND nx,ny,nz vertex data
	       # as in gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a, $nx, $ny, $nz);

	       my $tess = gluNewTess(undef, 'do_normals');
	       # gluTessVertex_p should be passed x,y,z AND nx,ny,nz vertex data (no colors)
	       # as in gluTessVertex_p($tess, $x, $y, $z, $nx, $ny, $nz);

	   Any true value can be passed in place of 'do_colors' and
	   'do_normals' though using 'do_colors' and 'do_normals' acts as
	   documentation.

	   Behavior in these modes will be discussed further for functions to
	   which they apply.

       "gluDeleteTess"
	       gluDeleteTess($tess);

	   This deletes the tessellation structure and frees up any remaining
	   associated memory.

       "gluTessCallback"
	      gluTessCallback($tess, GLU_TESS_BEGIN, 'DEFAULT');

	      gluTessCallback($tess, GLU_TESS_BEGIN, \&glBegin);

	      gluTessCallback($tess, GLU_TESS_BEGIN, sub { my $enum = shift; glBegin($enum) });

	      gluTessCallback($tess, GLU_TESS_BEGIN);  # unsets current handler

	   Registers handlers for each of the tessellation callback types.
	   Takes a tessellation reference generated by gluNewTess, a type, and
	   a coderef or the word 'DEFAULT'.  If the word 'DEFAULT' is passed,
	   a default c-level callback will be installed (which will be
	   discussed for each callback).  If no 3rd argument is given, then
	   any handler currently set will be removed.  Valid callback types
	   are

	       GLU_TESS_BEGIN
	       GLU_TESS_END
	       GLU_TESS_VERTEX
	       GLU_TESS_COMBINE
	       GLU_TESS_ERROR
	       GLU_TESS_EDGE_FLAG

	       GLU_TESS_BEGIN_DATA
	       GLU_TESS_END_DATA
	       GLU_TESS_VERTEX_DATA
	       GLU_TESS_COMBINE_DATA
	       GLU_TESS_ERROR_DATA
	       GLU_TESS_EDGE_FLAG_DATA

	   These types and their passed parameters will be discussed in the
	   CALLBACKS section.

	   The types ending with "_DATA" are similar to their non-_DATA
	   counterpart, but when called are passed the option $polygon_data
	   that can be set during gluTessBeginPolygon.

       "gluTessBeginPolygon"
	       gluTessBeginPolygon($tess);

	       gluTessBeginPolygon($tess, $polygon_data);

	   Begins the tessellation transaction.	 It must eventually be ended
	   with a gluTessEndPolygon before the tessellator will normally begin
	   work.

	   An optional second argument can be passed which can be any perl
	   scalar or reference.	 If a callback is registered using a type
	   ending in _DATA, this perl scalar or reference will be passed as an
	   additional argument to that callback.

	       gluTessCallback($tess, GLU_TESS_END_DATA, sub {
		   my $polygon_data = shift;
		   glEnd();
		   print "glEnd: (".($polygon_data->[2] eq 8 ? "YES" : "NO").")\n";
	       });

	       gluTessBeginPoly($tess, [6,7,8]); # arrayref will be passed to _DATA callbacks

	   A sample Object Oriented tesselation sample listed at the end of
	   this document makes use of this "opaque" polygon data.

       "gluTessEndPolygon"
	       gluTessEndPolygon($tess);

	   Finishes the tessellation transaction, which normally will
	   immediately fire the necessary callbacks generated by the
	   tessellation process.  Once finished, it cleans up any accumulated
	   temporary vertice data.

       "gluTessBeginContour"
	       gluTessBeginContour($tess);

	   Starts a new contour of the tessellation of the current polygon.
	   Please read the OpenGL documentation, and red book chapter on
	   tessellation for more help on when to use different contours.
	   Should eventually be followed by a gluTessEndContour call.

	   (At a high level, tessellated polygons may have windows and
	   multiple separate portions.	Each inner and outer border of these
	   portions should be represented by a different contour.)

       "gluTessVertex_p"
	       gluTessVertex_p($tess, $x, $y, $z);

	       gluTessVertex_p($tess, $x, $y, $z, $vertex_data);

	   Adds a vertex to the current contour of the current polygon being
	   tessellated.

	   If the vertex callback type is set to GLU_TESS_VERTEX, the optional
	   $vertex_data argument will be passed to the vertex callback, and to
	   the combine callback (if GLU_TESS_VERTEX_DATA is used, then the
	   $polygon_data passed to gluTessBeginPolygon will be passed
	   instead).  This optional opaque vertex data can be any perl scalar
	   or reference and can be used to pass useful information along
	   during the tessellation process.

	   If the 'do_colors' or 'do_normals' parameters were passed to
	   gluNewTess, then those additional properties MUST be passed as
	   additional arguments.

	       # my $tess = gluNewTess('do_colors');
	       gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a);
	       gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a, $vertex_data);

	       # my $tess = gluNewTess('do_colors', 'do_normals');
	       gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a, $nx, $ny, $nz);
	       gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a, $nx, $ny, $nz, $vertex_data);

	       # my $tess = gluNewTess(undef, 'do_normals');
	       gluTessVertex_p($tess, $x, $y, $z, $nx, $ny, $nz);
	       gluTessVertex_p($tess, $x, $y, $z, $nx, $ny, $nz, $vertex_data);

CALLBACKS
       All of the callbacks support a 'DEFAULT' handler that can be installed
       by passing the word 'DEFAULT' in place of the callback code reference.
       The DEFAULT c implementations are there to avoid needing to round trip
       out to perl.  The defaults employed are described for each of the
       callback types.

       With the exception of the COMBINE callback, return values from
       callbacks are discarded.

       "GLU_TESS_BEGIN"
	      gluTessCallback($tess, GLU_TESS_BEGIN, 'DEFAULT');

	      gluTessCallback($tess, GLU_TESS_BEGIN, \&glBegin);

	      gluTessCallback($tess, GLU_TESS_BEGIN, sub {
		  my $enum = shift;
		  glBegin($enum);
	      });

	   The 'DEFAULT' option installs a c-handler that calls the glBegin c
	   function directly without round-tripping out to perl.

	   If $polygon_data was set during gluTessBeginPolygon, it is
	   discarded.

       "GLU_TESS_BEGIN_DATA"
	   Similar to GLU_TESS_BEGIN but will be passed optional $polygon_data
	   set in gluTessBeginPolygon if any.  The 'DEFAULT' handler will
	   ignore this data.

	      gluTessCallback($tess, GLU_TESS_BEGIN_DATA, sub {
		  my ($enum, $polygon_data) = @_;
		  glBegin($enum);
		  print "glBegin - and I received polygon_data\n" if $polygon_data;
	      });

       "GLU_TESS_END"
	      gluTessCallback($tess, GLU_TESS_END, 'DEFAULT');

	      gluTessCallback($tess, GLU_TESS_END, \&glEnd);

	      gluTessCallback($tess, GLU_TESS_END, sub { glEnd() });

	   The 'DEFAULT' option installs a c-handler that calls the glEnd c
	   function directly without round-tripping out to perl.

	   If $polygon_data was set during gluTessBeginPolygon, it is
	   discarded.

       "GLU_TESS_END_DATA"
	   Similar to GLU_TESS_END but will be passed optional $polygon_data
	   set in gluTessBeginPolygon if any.  The 'DEFAULT' handler will
	   ignore this data.

	      gluTessCallback($tess, GLU_TESS_END_DATA, sub {
		  my ($polygon_data) = @_;
		  glEnd();
		  print "glEnd - and I received polygon_data\n" if $polygon_data;
	      });

       "GLU_TESS_VERTEX"
	   The GLU_TESS_VERTEX callback handler has slightly different
	   behavior depending on how gluNewTess was called.  The optional
	   behaviors allow for sane default processing of colors and normals
	   without needing to roundtrip out to perl.

	      my $tess = gluNewTess();

	      gluTessCallback($tess, GLU_TESS_VERTEX, 'DEFAULT');

	      # the following will break if vertex_data is passed to gluTessVertex_p
	      gluTessCallback($tess, GLU_TESS_VERTEX, \&glVertex3f);

	      gluTessCallback($tess, GLU_TESS_VERTEX, sub {
		  my ($x, $y, $z) = @_;
		  glVertex3f($x, $y, $z);
	      });

	      # you can also pass vertex_data to gluTessVertex_p
	      gluTessCallback($tess, GLU_TESS_VERTEX, sub {
		  my ($x, $y, $z, $vertex_data) = @_;
		  glVertex3f($x, $y, $z);
		  print "glVertex - and I received vertex_data\n" if $vertex_data;
	      });

	   The 'DEFAULT' option installs a c-handler that calls the glVertex c
	   function directly without round-tripping out to perl.  The DEFAULT
	   handler discards any polygon_data or vertex_data.

	   IF $vertex_data was set during gluTessVertex_p it will be passed as
	   the final argument.

	   If gluNewTess was passed 'do_colors' then the GLU_TESS_VERTEX
	   callback will also be passed the rgba information.  The 'DEFAULT'
	   option will pass the color information to glColor4f before calling
	   glVertex3f.

	      my $tess = gluNewTess('do_colors');

	      gluTessCallback($tess, GLU_TESS_VERTEX, sub {
		  my ($x, $y, $z, $r, $g, $b, $a, $vertex_data) = @_;
		  glColor4f($r, $g, $b, $a);
		  glVertex3f($x, $y, $z);
	      });

	   If gluNewTess was passed 'do_normals' then the GLU_TESS_VERTEX
	   callback will also be passed the normal x,y,z information.  The
	   'DEFAULT' option will pass the normal information to glNormal3f
	   before calling glVertex3f.

	      my $tess = gluNewTess('do_colors', 'do_normals');

	      gluTessCallback($tess, GLU_TESS_VERTEX, sub {
		  my ($x, $y, $z, $r, $g, $b, $a, $nx, $ny, $nz, $vertex_data) = @_;
		  glColor4f($r, $g, $b, $a);
		  glNormalf($nx, $ny, $nz);
		  glVertex3f($x, $y, $z);
	      });

	      # OR

	      my $tess = gluNewTess(undef, 'do_normals');

	      gluTessCallback($tess, GLU_TESS_VERTEX, sub {
		  my ($x, $y, $z, $nx, $ny, $nz, $vertex_data) = @_;
		  glNormalf($nx, $ny, $nz);
		  glVertex3f($x, $y, $z);
	      });

	   In all cases, any optional vertex_data will be passed as the final
	   argument.

       "GLU_TESS_VERTEX_DATA"
	   Similar to GLU_TESS_VERTEX but will be passed optional
	   $polygon_data set in gluTessBeginPolygon (if any) rather than the
	   optional $vertex_data passed to gluTessVertex_p.  The 'DEFAULT'
	   handler will ignore this data.

	      gluTessCallback($tess, GLU_TESS_VERTEX_DATA, sub {
		  my ($x, $y, $z, $vertex_data) = @_;
		  glVertex3f($x, $y, $z);
		  print "glVertex - and I received vertex_data\n" if $vertex_data;
	      });

       "GLU_TESS_COMBINE"
	      gluTessCallback($tess, GLU_TESS_COMBINE, 'DEFAULT');
	      # works with gluTessCallback($tess, GLU_TESS_VERTEX, 'DEFAULT');

	      # OR

	      # the following callback is valid for gluNewTess() (no do_colors or do_normals)
	      # using gluTessVertex_p($tess, $x, $y, $z);
	      my $tess = gluNewTess();
	      gluTessCallback($tess, GLU_TESS_COMBINE, sub {
		  my ($x, $y, $z,	    # new vertex location
		      $v0, $v1, $v2, $v3,   # border vertex arrayrefs
		      $w0, $w1, $w2, $w3,   # border vertex weights
		      $polygon_data) = @_;  # optional data passed to gluTessBeginPolygon
		  return ($x, $y, $z);
	      });
	      # works with gluTessCallback($tess, GLU_TESS_VERTEX, 'DEFAULT');

	      # OR

	      # the following callback is valid for gluNewTess() when vertex data is passed
	      # using gluTessVertex_p($tess, $x, $y, $z, [$r, $g, $b, $a]);
	      # The DEFAULT callback cannot automatically proceess this type of data
	      # but passing data to a custom handler this way could handle any arbitrary data passed to it
	      my $tess = gluNewTess();
	      use constant _r => 0;
	      use constant _g => 1;
	      use constant _b => 2;
	      use constant _a => 3;
	      gluTessCallback($tess, GLU_TESS_COMBINE, sub {
		  my ($x, $y, $z,	    # new vertex location
		      $v0, $v1, $v2, $v3,   # border vertex arrayrefs
		      $w0, $w1, $w2, $w3,   # border vertex weights
		      $polygon_data) = @_;  # optional data passed to gluTessBeginPolygon

		  # $v0 will contain [$x, $y, $z, [$r, $g, $b, $a]]
		  my @rgba = map {$_->[3]} $v0, $v1, $v2, $v3;

		  # generate a point with color weighted from the surrounding vertices
		  # then return that color information in the same way we received it (an rgba arrayref)
		  return (
		      $x, $y, $z,
		      [$w0*$rgba[0]->[_r] + $w1*$rgba[1]->[_r] + $w2*$rgba[2]->[_r] + $w3*$rgba[3]->[_r],
		       $w0*$rgba[0]->[_g] + $w1*$rgba[1]->[_g] + $w2*$rgba[2]->[_g] + $w3*$rgba[3]->[_g],
		       $w0*$rgba[0]->[_b] + $w1*$rgba[1]->[_b] + $w2*$rgba[2]->[_b] + $w3*$rgba[3]->[_b],
		       $w0*$rgba[0]->[_a] + $w1*$rgba[1]->[_a] + $w2*$rgba[2]->[_a] + $w3*$rgba[3]->[_a]],
		      );
	      });
	      # works with gluTessCallback($tess, GLU_TESS_VERTEX, sub {
	      #	   my ($x, $y, $z, $rgba) = @_;
	      #	   glColor4f(@$rgba);
	      #	   glVertex3f($x, $y, $z);
	      # });

	      # OR

	      # the following callback is valid for gluNewTess('do_colors')
	      # using gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a);
	      # the DEFAULT callback COULD automatically proceess this type of data as well if additional vertex data is not passed
	      my $tess = gluNewTess('do_colors');
	      use constant _r => 3;
	      use constant _g => 4;
	      use constant _b => 5;
	      use constant _a => 6;
	      gluTessCallback($tess, GLU_TESS_COMBINE, sub {
		  my ($x, $y, $z,	    # new vertex location
		      $v0, $v1, $v2, $v3,   # border vertex arrayrefs
		      $w0, $w1, $w2, $w3,   # border vertex weights
		      $polygon_data) = @_;  # optional data passed to gluTessBeginPolygon

		  # $v0 will contain [$x, $y, $z, $r, $g, $b, $a]

		  return ( # generate a point with color weighted from the surrounding vertices
		      $x, $y, $z,
		      $w0*$v0->[_r] + $w1*$v1->[_r] + $w2*$v2->[_r] + $w3*$v3->[_r],
		      $w0*$v0->[_g] + $w1*$v1->[_g] + $w2*$v2->[_g] + $w3*$v3->[_g],
		      $w0*$v0->[_b] + $w1*$v1->[_b] + $w2*$v2->[_b] + $w3*$v3->[_b],
		      $w0*$v0->[_a] + $w1*$v1->[_a] + $w2*$v2->[_a] + $w3*$v3->[_a],
		      ($v0->[7] || $v1->[7] || $v2->[7] || $v3->[7]), # if we received vertex data - return some for the new vertex
		      );
	      });
	      # works with gluTessCallback($tess, GLU_TESS_VERTEX, 'DEFAULT');
	      # OR
	      # works with gluTessCallback($tess, GLU_TESS_VERTEX, sub {
	      #	   my ($x, $y, $z, $r, $g, $b, $a, $vertex_data) = @_;
	      #	   glColor4f($r, $g, $b, $a);
	      #	   glVertex3f($x, $y, $z);
	      # });

	   The combine callback is called if the tessellator decides a new
	   vertex is needed.  This will happen with self intersecting
	   polygons.  In this case, the COMBINE callback can be used to
	   interpolate appropriate values for normals, and colors, or for any
	   desired information.

	   The combine callback will be passed the following:

	   "$x, $y, $z"
	       The x y and z coordinates of the new vertex being created.

	   "$v0, $v1, $v2, $v3"
	       Arrayrefs of vertex information for the vertices bordering this
	       new vertex (the ones that caused the new vertex to be created).

	       By default if gluNewTess() is called, these arrayrefs will be
	       passed:

		    my ($x, $y, $z, $vertex_data) = @$v0;
		    # received from gluTessVertex_p($tess, $x, $y, $z, $vertex_data);

	       If gluNewTess('do_colors') is called, the following will be
	       passed:

		    my ($x, $y, $z, $r, $g, $b, $a, $vertex_data) = @$v0;
		    # received from gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a, $vertex_data);

	       If gluNewTess('do_colors', 'do_normals') is called, the
	       following will be passed:

		    my ($x, $y, $z, $r, $g, $b, $a, $nx, $ny, $nz, $vertex_data) = @$v0;
		    # received from gluTessVertex_p($tess, $x, $y, $z, $r, $g, $b, $a, $nx, $ny, $nz, $vertex_data);

	       If gluNewTess(undef, 'do_normals') is called, the following
	       will be passed:

		    my ($x, $y, $z, $nx, $ny, $nz, $vertex_data) = @$v0;
		    # received from gluTessVertex_p($tess, $x, $y, $z, $nx, $ny, $nz, $vertex_data);

	       In all cases, the data returned by the COMBINE callback should
	       be in the same format that each of the vertices are in when
	       passed into the COMBINE callback.

	   "$w0, $w1, $w2, $w3"
	       Weights of the participating vertices (weight $w0 corresponds
	       to vertex $v0).

	   "optional $polygon_data"
	       Any optional data passed to gluTessBeginPolygon.	 Normally this
	       would only be passed to GLU_TESS_COMBINE_DATA, but
	       GLU_TESS_COMBINE_DATA and GLU_TESS_COMBINE share the same code
	       implementation.

       "GLU_TESS_COMBINE_DATA"
	   Identical in function to the GLU_TESS_COMBINE handler.  They use
	   the same callback implementation.

       "GLU_TESS_ERROR"
	      gluTessCallback($tess, GLU_TESS_ERROR, 'DEFAULT');

	      gluTessCallback($tess, GLU_TESS_ERROR, \&glEdgeFlag);

	      gluTessCallback($tess, GLU_TESS_ERROR, sub {
		  my $errno = shift;
		  my $err = gluErrorString($errno);
		  warn "Received a glu tess error ($errno - $err)\n";
	       });

	   The 'DEFAULT' option installs a c-handler that warns with the
	   appropriate gluErrorString.

	   If $polygon_data was set during gluTessBeginPolygon, it is
	   discarded.

       "GLU_TESS_ERROR_DATA"
	   Similar to GLU_TESS_ERROR but will be passed optional $polygon_data
	   set in gluTessBeginPolygon if any.  The 'DEFAULT' handler will
	   ignore this data.

	      gluTessCallback($tess, GLU_TESS_ERROR_DATA, sub {
		  my ($errno, $polygon_data) = @_;
		  my $err = gluErrorString($errno);
		  warn "Received a glu tess error ($errno - $err)\n";
		  warn "And I received polygon_data\n" if $polygon_data;
	      });

       "GLU_TESS_EDGE_FLAG"
	      gluTessCallback($tess, GLU_TESS_EDGE_FLAG, 'DEFAULT');

	      gluTessCallback($tess, GLU_TESS_EDGE_FLAG, \&glEdgeFlag);

	      gluTessCallback($tess, GLU_TESS_EDGE_FLAG, sub {
		  my ($flag) = @_;
		  glEdgeFlag($flag);
	       });

	   The 'DEFAULT' option installs a c-handler that calls the glEdgeFlag
	   c function directly without round-tripping out to perl.

	   If $polygon_data was set during gluTessBeginPolygon, it is
	   discarded.

       "GLU_TESS_EDGE_FLAG_DATA"
	   Similar to GLU_TESS_EDGE_FLAG but will be passed $polygon_data set
	   in gluTessBeginPolygon if any.  The 'DEFAULT' handler will ignore
	   this data.

	      gluTessCallback($tess, GLU_TESS_EDGE_FLAG_DATA, sub {
		  my ($flag, $polygon_data) = @_;
		  glEdgeFlag($flag);
		  print "glEdgeFlag - and I received polygon_data\n" if $polygon_data;
	      });

Example: Basic Arrowhead
	   use OpenGL qw(:all);

	   glutInit();
	   glutInitWindowSize(501, 501);
	   glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE);
	   glutCreateWindow("Tessellation");
	   glMatrixMode(GL_PROJECTION());
	   glLoadIdentity();
	   glOrtho(-250,250,-250,250,-1.0,1.0);
	   glMatrixMode(GL_MODELVIEW);

	   my $view_triangles = 1; # set to zero to show polygon
	   glPolygonMode(GL_FRONT_AND_BACK, GL_LINE) if $view_triangles;

	   glutDisplayFunc(sub {
	       glColor3f(1,1,1);

	       my $tess = gluNewTess();
	       gluTessCallback($tess, GLU_TESS_BEGIN,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_END,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_VERTEX,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_COMBINE,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_ERROR,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_EDGE_FLAG, 'DEFAULT') if ! $view_triangles;
	       gluTessBeginPolygon($tess);
	       gluTessBeginContour($tess);

	       gluTessVertex_p($tess, 0,    200,  0);
	       gluTessVertex_p($tess, 150,  -200, 0);
	       gluTessVertex_p($tess, 0,    -100, 0);
	       gluTessVertex_p($tess, -150, -200, 0);

	       gluTessEndContour($tess);
	       gluTessEndPolygon($tess);
	       gluDeleteTess($tess);

	       glutSwapBuffers();
	   });

	   glutMainLoop();

Example: Multiple contours
	   use OpenGL qw(:all);

	   glutInit();
	   glutInitWindowSize(501, 501);
	   glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE);
	   glutCreateWindow("Tessellation");
	   glMatrixMode(GL_PROJECTION());
	   glLoadIdentity();
	   glOrtho(-250,250,-250,250,-1.0,1.0);
	   glMatrixMode(GL_MODELVIEW);

	   my $view_triangles = 1; # set to zero to show polygon
	   glPolygonMode(GL_FRONT_AND_BACK, GL_LINE) if $view_triangles;

	   glutDisplayFunc(sub {
	       glColor3f(1,1,1);
	       my $v = [[[125,0,0], [150,150,0], [0,125,0], [-150,150,0],
			 [-125,0,0], [-150,-150,0], [0,-125,0], [150,-150,0], [125,0,0]],
			[[75,0,0], [100,100,0], [0,75,0], [-100,100,0],
			 [-75,0,0], [-100,-100,0], [0,-75,0], [100,-100,0], [75,0,0]]
		       ];

	       my $tess = gluNewTess();
	       gluTessCallback($tess, GLU_TESS_BEGIN,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_END,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_VERTEX,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_COMBINE,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_ERROR,	  'DEFAULT');
	       gluTessCallback($tess, GLU_TESS_EDGE_FLAG, 'DEFAULT') if ! $view_triangles;
	       gluTessBeginPolygon($tess);
	       foreach (@$v) {
		   gluTessBeginContour($tess);
		   foreach (@$_) {
		       gluTessVertex_p($tess, @$_);
		   }
		   gluTessEndContour($tess);
	       }
	       gluTessEndPolygon($tess);
	       gluDeleteTess($tess);

	       glutSwapBuffers();
	   });

	   glutMainLoop();

Example: Sample OO Tessellation interface using polygon_data
	   use OpenGL qw(:all);

	   glutInit();
	   glutInitWindowSize(501, 501);
	   glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE);
	   glutCreateWindow("Tessellation");
	   glMatrixMode(GL_PROJECTION());
	   glLoadIdentity();
	   glOrtho(-250,250,-250,250,-1.0,1.0);
	   glMatrixMode(GL_MODELVIEW);

	   my $view_triangles = 0;
	   glPolygonMode(GL_FRONT_AND_BACK, GL_LINE) if $view_triangles;

	   glutDisplayFunc(sub {
	       glColor3f(1,1,1);
	       my $v = [[[125,0,0], [150,150,0, 0,1,0], [0,125,0], [-150,150,0, 1,0,0],
			 [-125,0,0], [-150,-150,0, 0,0,1], [0,-125,0], [150,-150,0, 1,1,0], [125,0,0]],
			[[75,0,0], [100,100,0], [0,75,0], [-100,100,0],
			 [-75,0,0], [-100,-100,0], [0,-75,0], [100,-100,0], [75,0,0]]
		       ];

	       OpenGL::Tess->new(do_colors => 1, no_edge_flag => $view_triangles)->draw_contours(@$v);

	       glutSwapBuffers();
	   });

	   glutMainLoop();

	   ###----------------------------------------------------------------###

	   package OpenGL::Tess;

	   # Sample object oriented Tessellator
	   # OpenGL::Tess->new(do_colors => 1, no_edge_flag => $view_triangles)->draw_contours(@$v);

	   use strict;

	   sub new {
	       my $class = shift;
	       my $self	 = bless {@_}, $class;
	       my $tess = $self->{'_tess'} = OpenGL::gluNewTess($self->do_colors);
	       for my $cb (qw(begin end vertex combine error edge_flag)) {
		   my $enum = OpenGL->can("GLU_TESS_\U${cb}_DATA") || die "Couldn't find callback for $cb";
		   my $name = "_$cb";
		   OpenGL::gluTessCallback($tess, $enum->(), sub { $_[-1]->$name(@_) });
	       }
	       return $self;
	   }

	   sub DESTROY {
	       my $tess = shift->{'_tess'};
	       OpenGL::gluDeleteTess($tess) if $tess;
	   }

	   sub tess {
	       my $self = shift;
	       return $self->{'_tess'} || die "Missing tess";
	   }

	   sub do_colors { shift->{'do_colors'} }

	   sub begin_polygon {
	       my $self = shift;
	       my $tess = $self->tess;
	       # self will be passed as last arg ([-1]) to all callbacks as opaque polygon data
	       return OpenGL::gluTessBeginPolygon($tess, $self);
	   }

	   sub end_polygon   { OpenGL::gluTessEndPolygon(  shift->tess) }
	   sub begin_contour { OpenGL::gluTessBeginContour(shift->tess) }
	   sub end_contour   { OpenGL::gluTessEndContour(  shift->tess) }

	   sub draw_contours {
	       my $self = shift;
	       $self->begin_polygon;
	       foreach my $c (@_) {
		   $self->begin_contour;
		   $self->add_vertex(@$_) for @$c;
		   $self->end_contour;
	       }
	       $self->end_polygon;
	   }

	   sub add_vertex {
	       my $self = shift;
	       die 'Usage $self->add_vertex($x,$y,$z)' if @_ < 3;
	       if ($self->do_colors) {
		   push @_, 1 for @_ .. 6;
		   OpenGL::gluTessVertex_p($self->tess, @_[0..6]);
	       } else {
		   OpenGL::gluTessVertex_p($self->tess, @_[0..3]);
	       }
	   }

	   sub _begin {
	       my ($self, $enum) = @_;
	       OpenGL::glBegin($enum);
	   }

	   sub _end { OpenGL::glEnd() }

	   sub _vertex {
	       my ($self, $x, $y, $z, $r, $g, $b, $a) = @_;
	       OpenGL::glColor4f($r, $g, $b, $a) if $self->do_colors;
	       OpenGL::glVertex3f($x, $y, $z);
	   }

	   sub _edge_flag {
	       my ($self, $flag) = @_;
	       return if $self->{'no_edge_flag'};
	       OpenGL::glEdgeFlag($flag);
	   }

	   sub _error {
	       my ($self, $errno) = @_;
	       warn __PACKAGE__ ." error: ".OpenGL::gluErrorString($errno);
	   }

	   sub _combine {
	       my ($self, $x, $y, $z, $v0, $v1, $v2, $v3, $w0, $w1, $w2, $w3) = @_;
	       return ($x, $y, $z) if !$self->do_colors;
	       return ($x, $y, $z,
		       $w0*$v0->[3] + $w1*$v1->[3] + $w2*$v2->[3] + $w3*$v3->[3],
		       $w0*$v0->[4] + $w1*$v1->[4] + $w2*$v2->[4] + $w3*$v3->[4],
		       $w0*$v0->[5] + $w1*$v1->[5] + $w2*$v2->[5] + $w3*$v3->[5],
		       $w0*$v0->[6] + $w1*$v1->[6] + $w2*$v2->[6] + $w3*$v3->[6]);
	   }

	   1;

AUTHOR
	 Paul Seamons - paul AT seamons dot com - 2011

perl v5.18.1			  2013-04-02		       Tessellation(3)
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