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# vector2d.h

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    00001 // Copyright (C) 2002-2010 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
    00068         bool operator<=(const vector2d<T>&other) const
    00069         {
    00070                 return  (X<other.X || core::equals(X, other.X)) ||
    00071                                 (core::equals(X, other.X) && (Y<other.Y || core::equals(Y, other.Y)));
    00072         }
    00073
    00075         bool operator>=(const vector2d<T>&other) const
    00076         {
    00077                 return  (X>other.X || core::equals(X, other.X)) ||
    00078                                 (core::equals(X, other.X) && (Y>other.Y || core::equals(Y, other.Y)));
    00079         }
    00080
    00082         bool operator<(const vector2d<T>&other) const
    00083         {
    00084                 return  (X<other.X && !core::equals(X, other.X)) ||
    00085                                 (core::equals(X, other.X) && Y<other.Y && !core::equals(Y, other.Y));
    00086         }
    00087
    00089         bool operator>(const vector2d<T>&other) const
    00090         {
    00091                 return  (X>other.X && !core::equals(X, other.X)) ||
    00092                                 (core::equals(X, other.X) && Y>other.Y && !core::equals(Y, other.Y));
    00093         }
    00094
    00095         bool operator==(const vector2d<T>& other) const { return equals(other); }
    00096         bool operator!=(const vector2d<T>& other) const { return !equals(other); }
    00097
    00098         // functions
    00099
    00101
    00104         bool equals(const vector2d<T>& other) const
    00105         {
    00106                 return core::equals(X, other.X) && core::equals(Y, other.Y);
    00107         }
    00108
    00109         vector2d<T>& set(T nx, T ny) {X=nx; Y=ny; return *this; }
    00110         vector2d<T>& set(const vector2d<T>& p) { X=p.X; Y=p.Y; return *this; }
    00111
    00113
    00114         T getLength() const { return core::squareroot( X*X + Y*Y ); }
    00115
    00117
    00119         T getLengthSQ() const { return X*X + Y*Y; }
    00120
    00122
    00124         T dotProduct(const vector2d<T>& other) const
    00125         {
    00126                 return X*other.X + Y*other.Y;
    00127         }
    00128
    00130
    00133         T getDistanceFrom(const vector2d<T>& other) const
    00134         {
    00135                 return vector2d<T>(X - other.X, Y - other.Y).getLength();
    00136         }
    00137
    00139
    00142         T getDistanceFromSQ(const vector2d<T>& other) const
    00143         {
    00144                 return vector2d<T>(X - other.X, Y - other.Y).getLengthSQ();
    00145         }
    00146
    00148
    00151         vector2d<T>& rotateBy(f64 degrees, const vector2d<T>& center=vector2d<T>())
    00152         {
    00153                 degrees *= DEGTORAD64;
    00154                 const f64 cs = cos(degrees);
    00155                 const f64 sn = sin(degrees);
    00156
    00157                 X -= center.X;
    00158                 Y -= center.Y;
    00159
    00160                 set((T)(X*cs - Y*sn), (T)(X*sn + Y*cs));
    00161
    00162                 X += center.X;
    00163                 Y += center.Y;
    00164                 return *this;
    00165         }
    00166
    00168
    00170         vector2d<T>& normalize()
    00171         {
    00172                 f32 length = (f32)(X*X + Y*Y);
    00173                 if (core::equals(length, 0.f))
    00174                         return *this;
    00175                 length = core::reciprocal_squareroot ( length );
    00176                 X = (T)(X * length);
    00177                 Y = (T)(Y * length);
    00178                 return *this;
    00179         }
    00180
    00182
    00185         f64 getAngleTrig() const
    00186         {
    00187                 if (Y == 0)
    00188                         return X < 0 ? 180 : 0;
    00189                 else
    00190                 if (X == 0)
    00191                         return Y < 0 ? 270 : 90;
    00192
    00193                 if ( Y > 0)
    00194                         if (X > 0)
    00195                                 return atan((irr::f64)Y/(irr::f64)X) * RADTODEG64;
    00196                         else
    00197                                 return 180.0-atan((irr::f64)Y/-(irr::f64)X) * RADTODEG64;
    00198                 else
    00199                         if (X > 0)
    00200                                 return 360.0-atan(-(irr::f64)Y/(irr::f64)X) * RADTODEG64;
    00201                         else
    00202                                 return 180.0+atan(-(irr::f64)Y/-(irr::f64)X) * RADTODEG64;
    00203         }
    00204
    00206
    00208         inline f64 getAngle() const
    00209         {
    00210                 if (Y == 0) // corrected thanks to a suggestion by Jox
    00211                         return X < 0 ? 180 : 0;
    00212                 else if (X == 0)
    00213                         return Y < 0 ? 90 : 270;
    00214
    00215                 // don't use getLength here to avoid precision loss with s32 vectors
    00216                 f64 tmp = Y / sqrt((f64)(X*X + Y*Y));
    00217                 tmp = atan( core::squareroot(1 - tmp*tmp) / tmp) * RADTODEG64;
    00218
    00219                 if (X>0 && Y>0)
    00220                         return tmp + 270;
    00221                 else
    00222                 if (X>0 && Y<0)
    00223                         return tmp + 90;
    00224                 else
    00225                 if (X<0 && Y<0)
    00226                         return 90 - tmp;
    00227                 else
    00228                 if (X<0 && Y>0)
    00229                         return 270 - tmp;
    00230
    00231                 return tmp;
    00232         }
    00233
    00235
    00237         inline f64 getAngleWith(const vector2d<T>& b) const
    00238         {
    00239                 f64 tmp = X*b.X + Y*b.Y;
    00240
    00241                 if (tmp == 0.0)
    00242                         return 90.0;
    00243
    00244                 tmp = tmp / core::squareroot((f64)((X*X + Y*Y) * (b.X*b.X + b.Y*b.Y)));
    00245                 if (tmp < 0.0)
    00246                         tmp = -tmp;
    00247
    00248                 return atan(sqrt(1 - tmp*tmp) / tmp) * RADTODEG64;
    00249         }
    00250
    00252
    00256         bool isBetweenPoints(const vector2d<T>& begin, const vector2d<T>& end) const
    00257         {
    00258                 if (begin.X != end.X)
    00259                 {
    00260                         return ((begin.X <= X && X <= end.X) ||
    00261                                 (begin.X >= X && X >= end.X));
    00262                 }
    00263                 else
    00264                 {
    00265                         return ((begin.Y <= Y && Y <= end.Y) ||
    00266                                 (begin.Y >= Y && Y >= end.Y));
    00267                 }
    00268         }
    00269
    00271
    00275         vector2d<T> getInterpolated(const vector2d<T>& other, f64 d) const
    00276         {
    00277                 f64 inv = 1.0f - d;
    00278                 return vector2d<T>((T)(other.X*inv + X*d), (T)(other.Y*inv + Y*d));
    00279         }
    00280
    00282
    00287         vector2d<T> getInterpolated_quadratic(const vector2d<T>& v2, const vector2d<T>& v3, f64 d) const
    00288         {
    00289                 // this*(1-d)*(1-d) + 2 * v2 * (1-d) + v3 * d * d;
    00290                 const f64 inv = 1.0f - d;
    00291                 const f64 mul0 = inv * inv;
    00292                 const f64 mul1 = 2.0f * d * inv;
    00293                 const f64 mul2 = d * d;
    00294
    00295                 return vector2d<T> ( (T)(X * mul0 + v2.X * mul1 + v3.X * mul2),
    00296                                         (T)(Y * mul0 + v2.Y * mul1 + v3.Y * mul2));
    00297         }
    00298
    00300
    00305         vector2d<T>& interpolate(const vector2d<T>& a, const vector2d<T>& b, f64 d)
    00306         {
    00307                 X = (T)((f64)b.X + ( ( a.X - b.X ) * d ));
    00308                 Y = (T)((f64)b.Y + ( ( a.Y - b.Y ) * d ));
    00309                 return *this;
    00310         }
    00311
    00313         T X;
    00314
    00316         T Y;
    00317 };
    00318
    00320         typedef vector2d<f32> vector2df;
    00321
    00323         typedef vector2d<s32> vector2di;
    00324
    00325         template<class S, class T>
    00326         vector2d<T> operator*(const S scalar, const vector2d<T>& vector) { return vector*scalar; }
    00327
    00328         // These methods are declared in dimension2d, but need definitions of vector2d
    00329         template<class T>
    00330         dimension2d<T>::dimension2d(const vector2d<T>& other) : Width(other.X), Height(other.Y) { }
    00331
    00332         template<class T>
    00333         bool dimension2d<T>::operator==(const vector2d<T>& other) const { return Width == other.X && Height == other.Y; }
    00334
    00335 } // end namespace core
    00336 } // end namespace irr
    00337
    00338 #endif
    00339

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