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# vector2d.h

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    00001 // Copyright (C) 2002-2009 Nikolaus Gebhardt
    00002 // This file is part of the "Irrlicht Engine".
    00003 // For conditions of distribution and use, see copyright notice in irrlicht.h
    00004
    00005 #ifndef __IRR_POINT_2D_H_INCLUDED__
    00006 #define __IRR_POINT_2D_H_INCLUDED__
    00007
    00008 #include "irrMath.h"
    00009 #include "dimension2d.h"
    00010
    00011 namespace irr
    00012 {
    00013 namespace core
    00014 {
    00015
    00016
    00018
    00020 template <class T>
    00021 class vector2d
    00022 {
    00023 public:
    00025         vector2d() : X(0), Y(0) {}
    00027         vector2d(T nx, T ny) : X(nx), Y(ny) {}
    00029         explicit vector2d(T n) : X(n), Y(n) {}
    00031         vector2d(const vector2d<T>& other) : X(other.X), Y(other.Y) {}
    00032
    00033         vector2d(const dimension2d<T>& other) : X(other.Width), Y(other.Height) {}
    00034
    00035         // operators
    00036
    00037         vector2d<T> operator-() const { return vector2d<T>(-X, -Y); }
    00038
    00039         vector2d<T>& operator=(const vector2d<T>& other) { X = other.X; Y = other.Y; return *this; }
    00040
    00041         vector2d<T>& operator=(const dimension2d<T>& other) { X = other.Width; Y = other.Height; return *this; }
    00042
    00043         vector2d<T> operator+(const vector2d<T>& other) const { return vector2d<T>(X + other.X, Y + other.Y); }
    00044         vector2d<T> operator+(const dimension2d<T>& other) const { return vector2d<T>(X + other.Width, Y + other.Height); }
    00045         vector2d<T>& operator+=(const vector2d<T>& other) { X+=other.X; Y+=other.Y; return *this; }
    00046         vector2d<T> operator+(const T v) const { return vector2d<T>(X + v, Y + v); }
    00047         vector2d<T>& operator+=(const T v) { X+=v; Y+=v; return *this; }
    00048         vector2d<T>& operator+=(const dimension2d<T>& other) { X += other.Width; Y += other.Height; return *this;  }
    00049
    00050         vector2d<T> operator-(const vector2d<T>& other) const { return vector2d<T>(X - other.X, Y - other.Y); }
    00051         vector2d<T> operator-(const dimension2d<T>& other) const { return vector2d<T>(X - other.Width, Y - other.Height); }
    00052         vector2d<T>& operator-=(const vector2d<T>& other) { X-=other.X; Y-=other.Y; return *this; }
    00053         vector2d<T> operator-(const T v) const { return vector2d<T>(X - v, Y - v); }
    00054         vector2d<T>& operator-=(const T v) { X-=v; Y-=v; return *this; }
    00055         vector2d<T>& operator-=(const dimension2d<T>& other) { X -= other.Width; Y -= other.Height; return *this;  }
    00056
    00057         vector2d<T> operator*(const vector2d<T>& other) const { return vector2d<T>(X * other.X, Y * other.Y); }
    00058         vector2d<T>& operator*=(const vector2d<T>& other) { X*=other.X; Y*=other.Y; return *this; }
    00059         vector2d<T> operator*(const T v) const { return vector2d<T>(X * v, Y * v); }
    00060         vector2d<T>& operator*=(const T v) { X*=v; Y*=v; return *this; }
    00061
    00062         vector2d<T> operator/(const vector2d<T>& other) const { return vector2d<T>(X / other.X, Y / other.Y); }
    00063         vector2d<T>& operator/=(const vector2d<T>& other) { X/=other.X; Y/=other.Y; return *this; }
    00064         vector2d<T> operator/(const T v) const { return vector2d<T>(X / v, Y / v); }
    00065         vector2d<T>& operator/=(const T v) { X/=v; Y/=v; return *this; }
    00066
    00067         bool operator<=(const vector2d<T>&other) const { return X<=other.X && Y<=other.Y; }
    00068         bool operator>=(const vector2d<T>&other) const { return X>=other.X && Y>=other.Y; }
    00069
    00070         bool operator<(const vector2d<T>&other) const { return X<other.X && Y<other.Y; }
    00071         bool operator>(const vector2d<T>&other) const { return X>other.X && Y>other.Y; }
    00072
    00073         bool operator==(const vector2d<T>& other) const { return equals(other); }
    00074         bool operator!=(const vector2d<T>& other) const { return !equals(other); }
    00075
    00076         // functions
    00077
    00079
    00082         bool equals(const vector2d<T>& other) const
    00083         {
    00084                 return core::equals(X, other.X) && core::equals(Y, other.Y);
    00085         }
    00086
    00087         vector2d<T>& set(T nx, T ny) {X=nx; Y=ny; return *this; }
    00088         vector2d<T>& set(const vector2d<T>& p) { X=p.X; Y=p.Y; return *this; }
    00089
    00091
    00092         T getLength() const { return core::squareroot( X*X + Y*Y ); }
    00093
    00095
    00097         T getLengthSQ() const { return X*X + Y*Y; }
    00098
    00100
    00102         T dotProduct(const vector2d<T>& other) const
    00103         {
    00104                 return X*other.X + Y*other.Y;
    00105         }
    00106
    00108
    00111         T getDistanceFrom(const vector2d<T>& other) const
    00112         {
    00113                 return vector2d<T>(X - other.X, Y - other.Y).getLength();
    00114         }
    00115
    00117
    00120         T getDistanceFromSQ(const vector2d<T>& other) const
    00121         {
    00122                 return vector2d<T>(X - other.X, Y - other.Y).getLengthSQ();
    00123         }
    00124
    00126
    00129         vector2d<T>& rotateBy(f64 degrees, const vector2d<T>& center=vector2d<T>())
    00130         {
    00131                 degrees *= DEGTORAD64;
    00132                 const f64 cs = cos(degrees);
    00133                 const f64 sn = sin(degrees);
    00134
    00135                 X -= center.X;
    00136                 Y -= center.Y;
    00137
    00138                 set((T)(X*cs - Y*sn), (T)(X*sn + Y*cs));
    00139
    00140                 X += center.X;
    00141                 Y += center.Y;
    00142                 return *this;
    00143         }
    00144
    00146
    00148         vector2d<T>& normalize()
    00149         {
    00150                 f32 length = (f32)(X*X + Y*Y);
    00151                 if (core::equals(length, 0.f))
    00152                         return *this;
    00153                 length = core::reciprocal_squareroot ( length );
    00154                 X = (T)(X * length);
    00155                 Y = (T)(Y * length);
    00156                 return *this;
    00157         }
    00158
    00160
    00163         f64 getAngleTrig() const
    00164         {
    00165                 if (Y == 0)
    00166                         return X < 0 ? 180 : 0;
    00167                 else
    00168                 if (X == 0)
    00169                         return Y < 0 ? 270 : 90;
    00170
    00171                 if ( Y > 0)
    00172                         if (X > 0)
    00173                                 return atan(Y/X) * RADTODEG64;
    00174                         else
    00175                                 return 180.0-atan(Y/-X) * RADTODEG64;
    00176                 else
    00177                         if (X > 0)
    00178                                 return 360.0-atan(-Y/X) * RADTODEG64;
    00179                         else
    00180                                 return 180.0+atan(-Y/-X) * RADTODEG64;
    00181         }
    00182
    00184
    00186         inline f64 getAngle() const
    00187         {
    00188                 if (Y == 0) // corrected thanks to a suggestion by Jox
    00189                         return X < 0 ? 180 : 0;
    00190                 else if (X == 0)
    00191                         return Y < 0 ? 90 : 270;
    00192
    00193                 // don't use getLength here to avoid precision loss with s32 vectors
    00194                 f64 tmp = Y / sqrt((f64)(X*X + Y*Y));
    00195                 tmp = atan( core::squareroot(1 - tmp*tmp) / tmp) * RADTODEG64;
    00196
    00197                 if (X>0 && Y>0)
    00198                         return tmp + 270;
    00199                 else
    00200                 if (X>0 && Y<0)
    00201                         return tmp + 90;
    00202                 else
    00203                 if (X<0 && Y<0)
    00204                         return 90 - tmp;
    00205                 else
    00206                 if (X<0 && Y>0)
    00207                         return 270 - tmp;
    00208
    00209                 return tmp;
    00210         }
    00211
    00213
    00215         inline f64 getAngleWith(const vector2d<T>& b) const
    00216         {
    00217                 f64 tmp = X*b.X + Y*b.Y;
    00218
    00219                 if (tmp == 0.0)
    00220                         return 90.0;
    00221
    00222                 tmp = tmp / core::squareroot((f64)((X*X + Y*Y) * (b.X*b.X + b.Y*b.Y)));
    00223                 if (tmp < 0.0)
    00224                         tmp = -tmp;
    00225
    00226                 return atan(sqrt(1 - tmp*tmp) / tmp) * RADTODEG64;
    00227         }
    00228
    00230
    00234         bool isBetweenPoints(const vector2d<T>& begin, const vector2d<T>& end) const
    00235         {
    00236                 if (begin.X != end.X)
    00237                 {
    00238                         return ((begin.X <= X && X <= end.X) ||
    00239                                 (begin.X >= X && X >= end.X));
    00240                 }
    00241                 else
    00242                 {
    00243                         return ((begin.Y <= Y && Y <= end.Y) ||
    00244                                 (begin.Y >= Y && Y >= end.Y));
    00245                 }
    00246         }
    00247
    00249
    00253         vector2d<T> getInterpolated(const vector2d<T>& other, f64 d) const
    00254         {
    00255                 f64 inv = 1.0f - d;
    00256                 return vector2d<T>((T)(other.X*inv + X*d), (T)(other.Y*inv + Y*d));
    00257         }
    00258
    00260
    00265         vector2d<T> getInterpolated_quadratic(const vector2d<T>& v2, const vector2d<T>& v3, f64 d) const
    00266         {
    00267                 // this*(1-d)*(1-d) + 2 * v2 * (1-d) + v3 * d * d;
    00268                 const f64 inv = 1.0f - d;
    00269                 const f64 mul0 = inv * inv;
    00270                 const f64 mul1 = 2.0f * d * inv;
    00271                 const f64 mul2 = d * d;
    00272
    00273                 return vector2d<T> ( (T)(X * mul0 + v2.X * mul1 + v3.X * mul2),
    00274                                         (T)(Y * mul0 + v2.Y * mul1 + v3.Y * mul2));
    00275         }
    00276
    00278
    00283         vector2d<T>& interpolate(const vector2d<T>& a, const vector2d<T>& b, f64 d)
    00284         {
    00285                 X = (T)((f64)b.X + ( ( a.X - b.X ) * d ));
    00286                 Y = (T)((f64)b.Y + ( ( a.Y - b.Y ) * d ));
    00287                 return *this;
    00288         }
    00289
    00291         T X;
    00292
    00294         T Y;
    00295 };
    00296
    00298         typedef vector2d<f32> vector2df;
    00299
    00301         typedef vector2d<s32> vector2di;
    00302
    00303         template<class S, class T>
    00304         vector2d<T> operator*(const S scalar, const vector2d<T>& vector) { return vector*scalar; }
    00305
    00306         // These methods are declared in dimension2d, but need definitions of vector2d
    00307         template<class T>
    00308         dimension2d<T>::dimension2d(const vector2d<T>& other) : Width(other.X), Height(other.Y) { }
    00309
    00310         template<class T>
    00311         bool dimension2d<T>::operator==(const vector2d<T>& other) const { return Width == other.X && Height == other.Y; }
    00312
    00313 } // end namespace core
    00314 } // end namespace irr
    00315
    00316 #endif
    00317

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