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ik_vec3d.h

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00001 // Copyright (C) 2002-2008 Nikolaus Gebhardt
00002 // This file is part of the "irrKlang" library.
00003 // For conditions of distribution and use, see copyright notice in irrKlang.h
00004 
00005 #ifndef __IRR_IRRKLANG_VEC_3D_H_INCLUDED__
00006 #define __IRR_IRRKLANG_VEC_3D_H_INCLUDED__
00007 
00008 #include <math.h>
00009 #include "ik_irrKlangTypes.h"
00010 
00011 
00012 namespace irrklang
00013 {
00014 
00016         template <class T>
00017         class vec3d
00018         {
00019         public:
00020 
00021                 vec3d(): X(0), Y(0), Z(0) {};
00022                 vec3d(T nx, T ny, T nz) : X(nx), Y(ny), Z(nz) {};
00023                 vec3d(const vec3d<T>& other)    :X(other.X), Y(other.Y), Z(other.Z) {};
00024 
00026                 #ifdef __IRR_POINT_3D_H_INCLUDED__
00027                 template<class B>
00028                 vec3d(const B& other)   :X(other.X), Y(other.Y), Z(other.Z) {};
00029                 #endif // __IRR_POINT_3D_H_INCLUDED__
00030 
00031                 // operators
00032 
00033                 vec3d<T> operator-() const { return vec3d<T>(-X, -Y, -Z);   }
00034 
00035                 vec3d<T>& operator=(const vec3d<T>& other)      { X = other.X; Y = other.Y; Z = other.Z; return *this; }
00036 
00037                 vec3d<T> operator+(const vec3d<T>& other) const { return vec3d<T>(X + other.X, Y + other.Y, Z + other.Z);       }
00038                 vec3d<T>& operator+=(const vec3d<T>& other)     { X+=other.X; Y+=other.Y; Z+=other.Z; return *this; }
00039 
00040                 vec3d<T> operator-(const vec3d<T>& other) const { return vec3d<T>(X - other.X, Y - other.Y, Z - other.Z);       }
00041                 vec3d<T>& operator-=(const vec3d<T>& other)     { X-=other.X; Y-=other.Y; Z-=other.Z; return *this; }
00042 
00043                 vec3d<T> operator*(const vec3d<T>& other) const { return vec3d<T>(X * other.X, Y * other.Y, Z * other.Z);       }
00044                 vec3d<T>& operator*=(const vec3d<T>& other)     { X*=other.X; Y*=other.Y; Z*=other.Z; return *this; }
00045                 vec3d<T> operator*(const T v) const { return vec3d<T>(X * v, Y * v, Z * v);     }
00046                 vec3d<T>& operator*=(const T v) { X*=v; Y*=v; Z*=v; return *this; }
00047 
00048                 vec3d<T> operator/(const vec3d<T>& other) const { return vec3d<T>(X / other.X, Y / other.Y, Z / other.Z);       }
00049                 vec3d<T>& operator/=(const vec3d<T>& other)     { X/=other.X; Y/=other.Y; Z/=other.Z; return *this; }
00050                 vec3d<T> operator/(const T v) const { T i=(T)1.0/v; return vec3d<T>(X * i, Y * i, Z * i);       }
00051                 vec3d<T>& operator/=(const T v) { T i=(T)1.0/v; X*=i; Y*=i; Z*=i; return *this; }
00052 
00053                 bool operator<=(const vec3d<T>&other) const { return X<=other.X && Y<=other.Y && Z<=other.Z;};
00054                 bool operator>=(const vec3d<T>&other) const { return X>=other.X && Y>=other.Y && Z>=other.Z;};
00055 
00056                 bool operator==(const vec3d<T>& other) const { return other.X==X && other.Y==Y && other.Z==Z; }
00057                 bool operator!=(const vec3d<T>& other) const { return other.X!=X || other.Y!=Y || other.Z!=Z; }
00058 
00059                 // functions
00060 
00062                 bool equals(const vec3d<T>& other)
00063                 {
00064                         return equalsfloat(X, other.X) &&
00065                                    equalsfloat(Y, other.Y) &&
00066                                    equalsfloat(Z, other.Z);
00067                 }
00068 
00069                 void set(const T nx, const T ny, const T nz) {X=nx; Y=ny; Z=nz; }
00070                 void set(const vec3d<T>& p) { X=p.X; Y=p.Y; Z=p.Z;}
00071 
00073                 ik_f64 getLength() const { return sqrt(X*X + Y*Y + Z*Z); }
00074 
00076 
00078                 ik_f64 getLengthSQ() const { return X*X + Y*Y + Z*Z; }
00079 
00081                 T dotProduct(const vec3d<T>& other) const
00082                 {
00083                         return X*other.X + Y*other.Y + Z*other.Z;
00084                 }
00085 
00087 
00088                 ik_f64 getDistanceFrom(const vec3d<T>& other) const
00089                 {
00090                         ik_f64 vx = X - other.X; ik_f64 vy = Y - other.Y; ik_f64 vz = Z - other.Z;
00091                         return sqrt(vx*vx + vy*vy + vz*vz);
00092                 }
00093 
00095 
00096                 ik_f32 getDistanceFromSQ(const vec3d<T>& other) const
00097                 {
00098                         ik_f32 vx = X - other.X; ik_f32 vy = Y - other.Y; ik_f32 vz = Z - other.Z;
00099                         return (vx*vx + vy*vy + vz*vz);
00100                 }
00101 
00103                 vec3d<T> crossProduct(const vec3d<T>& p) const
00104                 {
00105                         return vec3d<T>(Y * p.Z - Z * p.Y, Z * p.X - X * p.Z, X * p.Y - Y * p.X);
00106                 }
00107 
00109 
00110                 bool isBetweenPoints(const vec3d<T>& begin, const vec3d<T>& end) const
00111                 {
00112                         ik_f32 f = (ik_f32)(end - begin).getLengthSQ();
00113                         return (ik_f32)getDistanceFromSQ(begin) < f &&
00114                                 (ik_f32)getDistanceFromSQ(end) < f;
00115                 }
00116 
00118                 vec3d<T>& normalize()
00119                 {
00120                         T l = (T)getLength();
00121                         if (l == 0)
00122                                 return *this;
00123 
00124                         l = (T)1.0 / l;
00125                         X *= l;
00126                         Y *= l;
00127                         Z *= l;
00128                         return *this;
00129                 }
00130 
00132                 void setLength(T newlength)
00133                 {
00134                         normalize();
00135                         *this *= newlength;
00136                 }
00137 
00139                 void invert()
00140                 {
00141                         X *= -1.0f;
00142                         Y *= -1.0f;
00143                         Z *= -1.0f;
00144                 }
00145 
00150                 void rotateXZBy(ik_f64 degrees, const vec3d<T>& center)
00151                 {
00152                         degrees *= IK_DEGTORAD64;
00153                         T cs = (T)cos(degrees);
00154                         T sn = (T)sin(degrees);
00155                         X -= center.X;
00156                         Z -= center.Z;
00157                         set(X*cs - Z*sn, Y, X*sn + Z*cs);
00158                         X += center.X;
00159                         Z += center.Z;
00160                 }
00161 
00166                 void rotateXYBy(ik_f64 degrees, const vec3d<T>& center)
00167                 {
00168                         degrees *= IK_DEGTORAD64;
00169                         T cs = (T)cos(degrees);
00170                         T sn = (T)sin(degrees);
00171                         X -= center.X;
00172                         Y -= center.Y;
00173                         set(X*cs - Y*sn, X*sn + Y*cs, Z);
00174                         X += center.X;
00175                         Y += center.Y;
00176                 }
00177 
00182                 void rotateYZBy(ik_f64 degrees, const vec3d<T>& center)
00183                 {
00184                         degrees *= IK_DEGTORAD64;
00185                         T cs = (T)cos(degrees);
00186                         T sn = (T)sin(degrees);
00187                         Z -= center.Z;
00188                         Y -= center.Y;
00189                         set(X, Y*cs - Z*sn, Y*sn + Z*cs);
00190                         Z += center.Z;
00191                         Y += center.Y;
00192                 }
00193 
00195 
00197                 vec3d<T> getInterpolated(const vec3d<T>& other, ik_f32 d) const
00198                 {
00199                         ik_f32 inv = 1.0f - d;
00200                         return vec3d<T>(other.X*inv + X*d,
00201                                                                 other.Y*inv + Y*d,
00202                                                                 other.Z*inv + Z*d);
00203                 }
00204 
00206 
00209                 vec3d<T> getHorizontalAngle()
00210                 {
00211                         vec3d<T> angle;
00212 
00213                         angle.Y = (T)atan2(X, Z);
00214                         angle.Y *= (ik_f32)IK_RADTODEG;
00215 
00216                         if (angle.Y < 0.0f) angle.Y += 360.0f;
00217                         if (angle.Y >= 360.0f) angle.Y -= 360.0f;
00218 
00219                         ik_f32 z1 = (T)sqrt(X*X + Z*Z);
00220 
00221                         angle.X = (T)atan2(z1, Y);
00222                         angle.X *= (ik_f32)IK_RADTODEG;
00223                         angle.X -= 90.0f;
00224 
00225                         if (angle.X < 0.0f) angle.X += 360.0f;
00226                         if (angle.X >= 360) angle.X -= 360.0f;
00227 
00228                         return angle;
00229                 }
00230 
00232 
00234                 void getAs4Values(T* array)
00235                 {
00236                         array[0] = X;
00237                         array[1] = Y;
00238                         array[2] = Z;
00239                         array[3] = 0;
00240                 }
00241 
00242 
00243                 // member variables
00244 
00245                 T X, Y, Z;
00246         };
00247 
00248 
00250         typedef vec3d<ik_f32> vec3df;
00251 
00253         typedef vec3d<ik_s32> vec3di;
00254 
00255         template<class S, class T> vec3d<T> operator*(const S scalar, const vec3d<T>& vector) { return vector*scalar; }
00256 
00257 } // end namespace irrklang
00258 
00259 
00260 #endif
00261 

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The irrKlang Engine Documentation © 2003-2007 by Nikolaus Gebhardt. Generated on Sun Oct 12 13:44:50 2008 by Doxygen (1.5.4)