/* Poly2Tri * Copyright (c) 2009-2010, Poly2Tri Contributors * http://code.google.com/p/poly2tri/ * * 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 Poly2Tri 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 CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ using System; using System.Collections; using System.Collections.Generic; namespace Poly2Tri { public class Point2D : IComparable { protected double mX = 0.0; public virtual double X { get { return mX; } set { mX = value; } } protected double mY = 0.0; public virtual double Y { get { return mY; } set { mY = value; } } public float Xf { get { return (float)X; } } public float Yf { get { return (float)Y; } } public Point2D() { mX = 0.0; mY = 0.0; } public Point2D(double x, double y) { mX = x; mY = y; } public Point2D(Point2D p) { mX = p.X; mY = p.Y; } public override string ToString() { return "[" + X.ToString() + "," + Y.ToString() + "]"; } public override int GetHashCode() { return base.GetHashCode(); } public override bool Equals(Object obj) { Point2D p = obj as Point2D; if (p != null) { return Equals(p); } return base.Equals(obj); } public bool Equals(Point2D p) { return Equals(p, 0.0); } public bool Equals(Point2D p, double epsilon) { if ((object)p == null || !MathUtil.AreValuesEqual(X, p.X, epsilon) || !MathUtil.AreValuesEqual(Y, p.Y, epsilon)) { return false; } return true; } public int CompareTo(Point2D other) { if (Y < other.Y) { return -1; } else if (Y > other.Y) { return 1; } else { if (X < other.X) { return -1; } else if (X > other.X) { return 1; } } return 0; } public virtual void Set(double x, double y) { X = x; Y = y; } public virtual void Set(Point2D p) { X = p.X; Y = p.Y; } public void Add(Point2D p) { X += p.X; Y += p.Y; } public void Add(double scalar) { X += scalar; Y += scalar; } public void Subtract(Point2D p) { X -= p.X; Y -= p.Y; } public void Subtract(double scalar) { X -= scalar; Y -= scalar; } public void Multiply(Point2D p) { X *= p.X; Y *= p.Y; } public void Multiply(double scalar) { X *= scalar; Y *= scalar; } public void Divide(Point2D p) { X /= p.X; Y /= p.Y; } public void Divide(double scalar) { X /= scalar; Y /= scalar; } public void Negate() { X = -X; Y = -Y; } public double Magnitude() { return Math.Sqrt((X * X) + (Y * Y)); } public double MagnitudeSquared() { return (X * X) + (Y * Y); } public double MagnitudeReciprocal() { return 1.0 / Magnitude(); } public void Normalize() { Multiply(MagnitudeReciprocal()); } public double Dot(Point2D p) { return (X * p.X) + (Y * p.Y); } public double Cross(Point2D p) { return (X * p.Y) - (Y * p.X); } public void Clamp(Point2D low, Point2D high) { X = Math.Max(low.X, Math.Min(X, high.X)); Y = Math.Max(low.Y, Math.Min(Y, high.Y)); } public void Abs() { X = Math.Abs(X); Y = Math.Abs(Y); } public void Reciprocal() { if (X != 0.0 && Y != 0.0) { X = 1.0 / X; Y = 1.0 / Y; } } public void Translate(Point2D vector) { Add(vector); } public void Translate(double x, double y) { X += x; Y += y; } public void Scale(Point2D vector) { Multiply(vector); } public void Scale(double scalar) { Multiply(scalar); } public void Scale(double x, double y) { X *= x; Y *= y; } public void Rotate(double radians) { double cosr = Math.Cos(radians); double sinr = Math.Sin(radians); double xold = X; double yold = Y; X = (xold * cosr) - (yold * sinr); Y = (xold * sinr) + (yold * cosr); } public void RotateDegrees(double degrees) { double radians = degrees * Math.PI / 180.0; Rotate(radians); } public static double Dot(Point2D lhs, Point2D rhs) { return (lhs.X * rhs.X) + (lhs.Y * rhs.Y); } public static double Cross(Point2D lhs, Point2D rhs) { return (lhs.X * rhs.Y) - (lhs.Y * rhs.X); } public static Point2D Clamp(Point2D a, Point2D low, Point2D high) { Point2D p = new Point2D(a); p.Clamp(low, high); return p; } public static Point2D Min(Point2D a, Point2D b) { Point2D p = new Point2D(); p.X = Math.Min(a.X, b.X); p.Y = Math.Min(a.Y, b.Y); return p; } public static Point2D Max(Point2D a, Point2D b) { Point2D p = new Point2D(); p.X = Math.Max(a.X, b.X); p.Y = Math.Max(a.Y, b.Y); return p; } public static Point2D Abs(Point2D a) { Point2D p = new Point2D(Math.Abs(a.X), Math.Abs(a.Y)); return p; } public static Point2D Reciprocal(Point2D a) { Point2D p = new Point2D(1.0 / a.X, 1.0 / a.Y); return p; } // returns a scaled perpendicular vector. Which direction it goes depends on the order in which the arguments are passed public static Point2D Perpendicular(Point2D lhs, double scalar) { Point2D p = new Point2D(lhs.Y * scalar, lhs.X * -scalar); return p; } public static Point2D Perpendicular(double scalar, Point2D rhs) { Point2D p = new Point2D(-scalar * rhs.Y, scalar * rhs.X); return p; } // // operator overloading // // Binary Operators // Note that in C#, when a binary operator is overloaded, its corresponding compound assignment operator is also automatically // overloaded. So, for example, overloading operator + implicitly overloads += as well public static Point2D operator +(Point2D lhs, Point2D rhs) { Point2D result = new Point2D(lhs); result.Add(rhs); return result; } public static Point2D operator +(Point2D lhs, double scalar) { Point2D result = new Point2D(lhs); result.Add(scalar); return result; } public static Point2D operator -(Point2D lhs, Point2D rhs) { Point2D result = new Point2D(lhs); result.Subtract(rhs); return result; } public static Point2D operator -(Point2D lhs, double scalar) { Point2D result = new Point2D(lhs); result.Subtract(scalar); return result; } public static Point2D operator *(Point2D lhs, Point2D rhs) { Point2D result = new Point2D(lhs); result.Multiply(rhs); return result; } public static Point2D operator *(Point2D lhs, double scalar) { Point2D result = new Point2D(lhs); result.Multiply(scalar); return result; } public static Point2D operator *(double scalar, Point2D lhs) { Point2D result = new Point2D(lhs); result.Multiply(scalar); return result; } public static Point2D operator /(Point2D lhs, Point2D rhs) { Point2D result = new Point2D(lhs); result.Divide(rhs); return result; } public static Point2D operator /(Point2D lhs, double scalar) { Point2D result = new Point2D(lhs); result.Divide(scalar); return result; } // Unary Operators public static Point2D operator -(Point2D p) { Point2D tmp = new Point2D(p); tmp.Negate(); return tmp; } // Relational Operators //public static bool operator ==(Point2D lhs, Point2D rhs) { if ((object)lhs != null) { return lhs.Equals(rhs, 0.0); } if ((object)rhs == null) { return true; } else { return false; } } //public static bool operator !=(Point2D lhs, Point2D rhs) { if ((object)lhs != null) { return !lhs.Equals(rhs, 0.0); } if ((object)rhs == null) { return false; } else { return true; } } public static bool operator <(Point2D lhs, Point2D rhs) { return (lhs.CompareTo(rhs) == -1) ? true : false; } public static bool operator >(Point2D lhs, Point2D rhs) { return (lhs.CompareTo(rhs) == 1) ? true : false; } public static bool operator <=(Point2D lhs, Point2D rhs) { return (lhs.CompareTo(rhs) <= 0) ? true : false; } public static bool operator >=(Point2D lhs, Point2D rhs) { return (lhs.CompareTo(rhs) >= 0) ? true : false; } } public class Point2DEnumerator : IEnumerator { protected IList mPoints; protected int position = -1; // Enumerators are positioned before the first element until the first MoveNext() call. public Point2DEnumerator(IList points) { mPoints = points; } public bool MoveNext() { position++; return (position < mPoints.Count); } public void Reset() { position = -1; } void IDisposable.Dispose() { } Object IEnumerator.Current { get { return Current; } } public Point2D Current { get { if (position < 0 || position >= mPoints.Count) { return null; } return mPoints[position]; } } } }