?? vertices3d.as
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?/*
* PAPER ON ERVIS NPAPER ISION PE IS ON PERVI IO APER SI PA
* AP VI ONPA RV IO PA SI PA ER SI NP PE ON AP VI ION AP
* PERVI ON PE VISIO APER IONPA RV IO PA RVIS NP PE IS ONPAPE
* ER NPAPER IS PE ON PE ISIO AP IO PA ER SI NP PER
* RV PA RV SI ERVISI NP ER IO PE VISIO AP VISI PA RV3D
* ______________________________________________________________________
* papervision3d.org ? blog.papervision3d.org ? osflash.org/papervision3d
*/
/*
* Copyright 2006 (c) Carlos Ulloa Matesanz, noventaynueve.com.
*
* Permission is hereby granted, free of charge, to any person
* obtaining a copy of this software and associated documentation
* files (the "Software"), to deal in the Software without
* restriction, including without limitation the rights to use,
* copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the
* Software is furnished to do so, subject to the following
* conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
* OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
* HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
* WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
* OTHER DEALINGS IN THE SOFTWARE.
*/
// ______________________________________________________________________
// GeometryObject3D: Points
package org.papervision3d.core.geom {
import flash.geom.Rectangle;
import org.papervision3d.core.culling.IObjectCuller;
import org.papervision3d.core.geom.renderables.Vertex3D;
import org.papervision3d.core.geom.renderables.Vertex3DInstance;
import org.papervision3d.core.math.Matrix3D;
import org.papervision3d.core.math.Number3D;
import org.papervision3d.core.proto.GeometryObject3D;
import org.papervision3d.core.render.data.RenderSessionData;
import org.papervision3d.objects.DisplayObject3D;
/**
* The Vertices3D class lets you create and manipulate groups of vertices.
*
*/
public class Vertices3D extends DisplayObject3D
{
// ___________________________________________________________________________________________________
// N E W
// NN NN EEEEEE WW WW
// NNN NN EE WW WW WW
// NNNNNN EEEE WWWWWWWW
// NN NNN EE WWW WWW
// NN NN EEEEEE WW WW
/**
* Creates a new Points object.
*
* The Points GeometryObject3D class lets you create and manipulate groups of vertices.
*
* @param vertices An array of Vertex3D objects for the vertices of the mesh.
* <p/>
* @param initObject [optional] - An object that contains user defined properties with which to populate the newly created GeometryObject3D.
* <p/>
* It includes x, y, z, rotationX, rotationY, rotationZ, scaleX, scaleY scaleZ and a user defined extra object.
* <p/>
* If extra is not an object, it is ignored. All properties of the extra field are copied into the new instance. The properties specified with extra are publicly available.
*/
public function Vertices3D( vertices:Array, name:String=null, initObject:Object=null )
{
super( name, new GeometryObject3D(), initObject );
this.geometry.vertices = vertices || new Array();
}
// ___________________________________________________________________________________________________
// T R A N S F O R M
// TTTTTT RRRRR AA NN NN SSSSS FFFFFF OOOO RRRRR MM MM
// TT RR RR AAAA NNN NN SS FF OO OO RR RR MMM MMM
// TT RRRRR AA AA NNNNNN SSSS FFFF OO OO RRRRR MMMMMMM
// TT RR RR AAAAAA NN NNN SS FF OO OO RR RR MM M MM
// TT RR RR AA AA NN NN SSSSS FF OOOO RR RR MM MM
/**
* Projects three dimensional coordinates onto a two dimensional plane to simulate the relationship of the camera to subject.
*
* This is the first step in the process of representing three dimensional shapes two dimensionally.
*
* @param camera Camera.
*/
public override function project( parent :DisplayObject3D, renderSessionData:RenderSessionData ):Number
{
super.project( parent, renderSessionData );
if( this.culled )
return 0;
if( renderSessionData.camera is IObjectCuller )
return projectFrustum(parent, renderSessionData);
var view:Matrix3D = this.view,
// Camera
m11 :Number = view.n11,
m12 :Number = view.n12,
m13 :Number = view.n13,
m21 :Number = view.n21,
m22 :Number = view.n22,
m23 :Number = view.n23,
m31 :Number = view.n31,
m32 :Number = view.n32,
m33 :Number = view.n33,
vx :Number,
vy :Number,
vz :Number,
s_x :Number,
s_y :Number,
s_z :Number,
vertex:org.papervision3d.core.geom.renderables.Vertex3D,
screen:Vertex3DInstance,
persp :Number,
vertices :Array = this.geometry.vertices,
i :int = vertices.length,
focus :Number = renderSessionData.camera.focus,
fz :Number = focus * renderSessionData.camera.zoom;
while( vertex = vertices[--i] )
{
// Center position
vx = vertex.x;
vy = vertex.y;
vz = vertex.z;
s_z = vx * m31 + vy * m32 + vz * m33 + view.n34;
screen = vertex.vertex3DInstance;
if( screen.visible = ( s_z > 0 ) )
{
s_x = vx * m11 + vy * m12 + vz * m13 + view.n14;
s_y = vx * m21 + vy * m22 + vz * m23 + view.n24;
persp = fz / (focus + s_z);
screen.x = s_x * persp;
screen.y = s_y * persp;
screen.z = s_z;
}
}
return 0; //screenZ;
}
/**
*
* @param parent
* @param camera
* @param sorted
* @return
*/
public function projectFrustum( parent :DisplayObject3D, renderSessionData:RenderSessionData ):Number
{
var view:Matrix3D = this.view,
viewport:Rectangle = renderSessionData.camera.viewport,
m11 :Number = view.n11,
m12 :Number = view.n12,
m13 :Number = view.n13,
m21 :Number = view.n21,
m22 :Number = view.n22,
m23 :Number = view.n23,
m31 :Number = view.n31,
m32 :Number = view.n32,
m33 :Number = view.n33,
m41 :Number = view.n41,
m42 :Number = view.n42,
m43 :Number = view.n43,
vx :Number,
vy :Number,
vz :Number,
s_x :Number,
s_y :Number,
s_z :Number,
s_w :Number,
vpw :Number = viewport.width / 2,
vph :Number = viewport.height / 2,
vertex : Vertex3D,
screen:Vertex3DInstance,
vertices :Array = this.geometry.vertices,
i :int = vertices.length;
while( vertex = vertices[--i] )
{
// Center position
vx = vertex.x;
vy = vertex.y;
vz = vertex.z;
s_z = vx * m31 + vy * m32 + vz * m33 + view.n34;
s_w = vx * m41 + vy * m42 + vz * m43 + view.n44;
screen = vertex.vertex3DInstance;
// to normalized clip space (0.0 to 1.0)
// NOTE: can skip and simply test (s_z < 0) and save a div
s_z /= s_w;
// is point between near- and far-plane?
if( screen.visible = (s_z > 0 && s_z < 1) )
{
// to normalized clip space (-1,-1) to (1, 1)
s_x = (vx * m11 + vy * m12 + vz * m13 + view.n14) / s_w;
s_y = (vx * m21 + vy * m22 + vz * m23 + view.n24) / s_w;
// NOTE: optionally we can flag screen verts here
//screen.visible = (s_x > -1 && s_x < 1 && s_y > -1 && s_y < 1);
// project to viewport.
screen.x = s_x * vpw;
screen.y = s_y * vph;
//Papervision3D.logger.debug( "sx:" + screen.x + " " +screen.y );
// NOTE: z not lineair, value increases when nearing far-plane.
screen.z = s_z;
}
}
return 0;
}
/**
* Calculates 3D bounding box.
*
* @return {minX, maxX, minY, maxY, minZ, maxZ}
*/
public function boundingBox():Object
{
var vertices :Object = this.geometry.vertices;
var bBox :Object = new Object();
bBox.min = new Number3D();
bBox.max = new Number3D();
bBox.size = new Number3D();
for( var i:String in vertices )
{
var v:org.papervision3d.core.geom.renderables.Vertex3D = vertices[Number(i)];
bBox.min.x = (bBox.min.x == undefined)? v.x : Math.min( v.x, bBox.min.x );
bBox.max.x = (bBox.max.x == undefined)? v.x : Math.max( v.x, bBox.max.x );
bBox.min.y = (bBox.min.y == undefined)? v.y : Math.min( v.y, bBox.min.y );
bBox.max.y = (bBox.max.y == undefined)? v.y : Math.max( v.y, bBox.max.y );
bBox.min.z = (bBox.min.z == undefined)? v.z : Math.min( v.z, bBox.min.z );
bBox.max.z = (bBox.max.z == undefined)? v.z : Math.max( v.z, bBox.max.z );
}
bBox.size.x = bBox.max.x - bBox.min.x;
bBox.size.y = bBox.max.y - bBox.min.y;
bBox.size.z = bBox.max.z - bBox.min.z;
return bBox;
}
public function transformVertices( transformation:Matrix3D ):void
{
var m11 :Number = transformation.n11,
m12 :Number = transformation.n12,
m13 :Number = transformation.n13,
m21 :Number = transformation.n21,
m22 :Number = transformation.n22,
m23 :Number = transformation.n23,
m31 :Number = transformation.n31,
m32 :Number = transformation.n32,
m33 :Number = transformation.n33,
m14 :Number = transformation.n14,
m24 :Number = transformation.n24,
m34 :Number = transformation.n34,
vertices :Array = this.geometry.vertices,
i :int = vertices.length,
vertex :org.papervision3d.core.geom.renderables.Vertex3D;
// trace( "transformed " + i ); // DEBUG
while( vertex = vertices[--i] )
{
// Center position
var vx :Number = vertex.x;
var vy :Number = vertex.y;
var vz :Number = vertex.z;
var tx :Number = vx * m11 + vy * m12 + vz * m13 + m14;
var ty :Number = vx * m21 + vy * m22 + vz * m23 + m24;
var tz :Number = vx * m31 + vy * m32 + vz * m33 + m34;
vertex.x = tx;
vertex.y = ty;
vertex.z = tz;
}
}
// ___________________________________________________________________________________________________
// R E N D E R
// RRRRR EEEEEE NN NN DDDDD EEEEEE RRRRR
// RR RR EE NNN NN DD DD EE RR RR
// RRRRR EEEE NNNNNN DD DD EEEE RRRRR
// RR RR EE NN NNN DD DD EE RR RR
// RR RR EEEEEE NN NN DDDDD EEEEEE RR RR
// public function render() {}
}
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