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Point3d

Kind of class:	public class
Package:	org.casalib.math.geom
Inherits from:	none
Version:	09/23/08
Author:	Aaron Clinger, David Bliss, Mike Creighton
Classpath:	org.casalib.math.geom.Point3d
File last modified:	Monday, 01 December 2008, 11:16:36

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/*
    CASA Lib for ActionScript 3.0
    Copyright (c) 2008, Aaron Clinger & Contributors of CASA Lib
    All rights reserved.
    
    Redistribution and use in source and binary forms, with or without
    modification, are permitted provided that the following conditions are met:
    
    - Redistributions of source code must retain the above copyright notice,
      this list of conditions and the following disclaimer.
    
    - Redistributions in binary form must reproduce the above copyright notice,
      this list of conditions and the following disclaimer in the documentation
      and/or other materials provided with the distribution.
    
    - Neither the name of the CASA Lib nor the names of its contributors
      may be used to endorse or promote products derived from this software
      without specific prior written permission.
    
    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
    AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
    IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
    ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
    LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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*/
package org.casalib.math.geom {
    import org.casalib.util.NumberUtil;
    import org.casalib.math.Percent;
    
    /**
        Stores location of a point in a three-dimensional coordinate system, where x represents the horizontal axis, y represents the vertical axis, z represents the axis that is vertically perpendicular to the x/y axis or depth.
        
        @author Aaron Clinger
        @author David Bliss
        @author Mike Creighton
        @version 09/23/08
    */
    public class Point3d {
        protected var _x:Number;
        protected var _y:Number;
        protected var _z:Number;
        
        
        /**
            Creates a new Point3d.
            
            @param x: The horizontal coordinate of the point.
            @param y: The vertical coordinate of the point.
            @param z: The depth coordinate of the point.
        */
        public function Point3d(x:Number = 0, y:Number = 0, z:Number = 0) {
            this.x = x;
            this.y = y;
            this.z = z;
        }
        
        /**
            The horizontal coordinate of the point.
        */
        public function get x():Number {
            return this._x;
        }
        
        public function set x(position:Number):void {
            this._x = position;
        }
        
        /**
            The vertical coordinate of the point.
        */
        public function get y():Number {
            return this._y;
        }
        
        public function set y(position:Number):void {
            this._y = position;
        }
        
        /**
            The depth coordinate of the point.
        */
        public function get z():Number {
            return this._z;
        }
        
        public function set z(position:Number):void {
            this._z = position;
        }
        
        /**
            Adds the coordinates of another Point3d to the coordinates of this point to create a new Point3d.
            
            @param point: The point to be added.
            @return The new point.
        */
        public function add(point:Point3d):Point3d {
            return new Point3d(this.x + point.x, this.y + point.y, this.z + point.z);
        }
        
        /**
            Subtracts the coordinates of another Point3d from the coordinates of this point to create a new Point3d.
            
            @param point: The point to be subtracted.
            @return The new point.
        */
        public function subtract(point:Point3d):Point3d {
            return new Point3d(this.x - point.x, this.y - point.y, this.z - point.z);
        }
        
        /**
            Offsets the Point object by the specified amount.
            
            @param xOffset: The amount by which to offset the horizontal coordinate.
            @param yOffset: The amount by which to offset the vertical coordinate.
            @param zOffset: The amount by which to offset the depth coordinate.
        */
        public function offset(xOffset:Number, yOffset:Number, zOffset:Number):void {
            this.x += xOffset;
            this.y += yOffset;
            this.z += zOffset;
        }
        
        /**
            Determines if the point specified in the {@code point} parameter is equal to this point object.
            
            @param point: A Point3d object.
            @return Returns {@code true} if shape's location is identical; otherwise {@code false}.
        */
        public function equals(point:Point3d):Boolean {
            return this.x == point.x && this.y == point.y && this.z == point.z;
        }
        
        /**
            Creates a copy of this Point3d object.
            
            @return A new Point3d with the same values as this point.
        */
        public function clone():Point3d {
            return new Point3d(this.x, this.y, this.z);
        }
        
        /**
            Determines the distance between the first and second points in 3D space.
            
            @param firstPoint: The first Point3d.
            @param secondPoint: The second Point3d.
            @return Distance between the two points.
        */
        public static function distance(firstPoint:Point3d, secondPoint:Point3d):Number {
            var x:Number = secondPoint.x - firstPoint.x;
            var y:Number = secondPoint.y - firstPoint.y;
            var z:Number = secondPoint.z - firstPoint.z;
            
            return Math.sqrt(x * x + y * y + z * z);
        }
        
        /**
            Determines a point between two specified points.
            
            @param firstPoint: The first Point3d.
            @param secondPoint: The second Point3d.
            @param amount: The level of interpolation between the two points. If {@code 0%}, {@code firstPoint} is returned; if {@code 100%}, {@code secondPoint} is returned.
            @return The new, interpolated point.
        */
        public static function interpolate(firstPoint:Point3d, secondPoint:Point3d, amount:Percent):Point3d {
            var x:Number = NumberUtil.interpolate(amount, firstPoint.x, secondPoint.x);
            var y:Number = NumberUtil.interpolate(amount, firstPoint.y, secondPoint.y);
            var z:Number = NumberUtil.interpolate(amount, firstPoint.z, secondPoint.z);
            
            return new Point3d(x, y, z);
        }
    }
}

Stores location of a point in a three-dimensional coordinate system, where x represents the horizontal axis, y represents the vertical axis, z represents the axis that is vertically perpendicular to the x/y axis or depth.

Summary

Constructor

Point3d (x:Number = 0, y:Number = 0, z:Number = 0)
- Creates a new Point3d.

Instance properties

x : Number
- The horizontal coordinate of the point.
y : Number
- The vertical coordinate of the point.
z : Number
- The depth coordinate of the point.

Class methods

distance (firstPoint:Point3d) : Number
- Determines the distance between the first and second points in 3D space.
interpolate (firstPoint:Point3d) : Point3d
- Determines a point between two specified points.

Instance methods

add (point:Point3d) : Point3d
- Adds the coordinates of another Point3d to the coordinates of this point to create a new Point3d.
subtract (point:Point3d) : Point3d
- Subtracts the coordinates of another Point3d from the coordinates of this point to create a new Point3d.
offset (xOffset:Number, yOffset:Number, zOffset:Number) : void
- Offsets the Point object by the specified amount.
equals (point:Point3d) : Boolean
- Determines if the point specified in the point parameter is equal to this point object.
clone : Point3d
- Creates a copy of this Point3d object.

Constructor

Point3d

public function Point3d (

x:Number = 0, y:Number = 0, z:Number = 0)

Creates a new Point3d.

Parameters:

The horizontal coordinate of the point.

The vertical coordinate of the point.

The depth coordinate of the point.

Instance properties

x

public x:Number

(read,write)

The horizontal coordinate of the point.

y

public y:Number

(read,write)

The vertical coordinate of the point.

z

public z:Number

(read,write)

The depth coordinate of the point.

Class methods

distance

public static function distance (

firstPoint:Point3d, secondPoint:Point3d) : Number

Determines the distance between the first and second points in 3D space.

Parameters:

firstPoint :

The first Point3d.

secondPoint:

The second Point3d.

Returns:

Distance between the two points.

interpolate

public static function interpolate (

firstPoint:Point3d, secondPoint:Point3d, amount:Percent) : Point3d

Determines a point between two specified points.

Parameters:

firstPoint :

The first Point3d.

secondPoint:

The second Point3d.

amount :

The level of interpolation between the two points. If 0%, firstPoint is returned; if 100%, secondPoint is returned.

Returns:

The new, interpolated point.

Instance methods

add

public function add (

point:Point3d) : Point3d

Adds the coordinates of another Point3d to the coordinates of this point to create a new Point3d.

Parameters:

point:

The point to be added.

Returns:

The new point.

clone

public function clone (

) : Point3d

Creates a copy of this Point3d object.

Returns:

A new Point3d with the same values as this point.

equals

public function equals (

point:Point3d) : Boolean

Determines if the point specified in the point parameter is equal to this point object.

Parameters:

point:

A Point3d object.

Returns:

Returns true if shape's location is identical; otherwise false.

offset

public function offset (

xOffset:Number, yOffset:Number, zOffset:Number) : void

Offsets the Point object by the specified amount.

Parameters:

xOffset:

The amount by which to offset the horizontal coordinate.

yOffset:

The amount by which to offset the vertical coordinate.

zOffset:

The amount by which to offset the depth coordinate.

subtract

public function subtract (

point:Point3d) : Point3d

Subtracts the coordinates of another Point3d from the coordinates of this point to create a new Point3d.

Parameters:

point:

The point to be subtracted.

Returns:

The new point.