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csgeom/plane2.h

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00001 /*
00002     Copyright (C) 1998-2000 by Jorrit Tyberghein
00003     Largely rewritten by Ivan Avramovic <ivan@avramovic.com>
00004 
00005     This library is free software; you can redistribute it and/or
00006     modify it under the terms of the GNU Library General Public
00007     License as published by the Free Software Foundation; either
00008     version 2 of the License, or (at your option) any later version.
00009 
00010     This library is distributed in the hope that it will be useful,
00011     but WITHOUT ANY WARRANTY; without even the implied warranty of
00012     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00013     Library General Public License for more details.
00014 
00015     You should have received a copy of the GNU Library General Public
00016     License along with this library; if not, write to the Free
00017     Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
00018 */
00019 
00020 #ifndef __CS_PLANE2_H__
00021 #define __CS_PLANE2_H__
00022 
00029 // These are also defined in math2d.h
00030 #ifndef __CS_POLY_MACROS__
00031 #define __CS_POLY_MACROS__
00032 #define CS_POLY_IN 1
00033 #define CS_POLY_ON 0
00034 #define CS_POLY_OUT -1
00035 #endif
00036 
00037 #include "csgeom/vector2.h"
00038 #include "csgeom/segment.h"
00039 
00040 class csPoly2D;
00041 
00047 class csPlane2
00048 {
00049 public:
00051   csVector2 norm;
00052 
00054   float CC;
00055 
00057   csPlane2 () : norm (0,1), CC (0) {}
00058 
00060   csPlane2 (const csVector2& plane_norm, float c=0) : norm (plane_norm), CC (c) {}
00061 
00063   csPlane2 (float a, float b, float c=0) : norm (a,b), CC (c) {}
00064 
00066   inline void Set (const csVector2& v1, const csVector2& v2)
00067   {
00068     norm.x = v2.y-v1.y;
00069     norm.y = -(v2.x-v1.x);
00070     CC = - (v2 * norm);
00071   }
00072 
00074   inline void Set (const csSegment2& s)
00075   {
00076     Set (s.Start (), s.End ());
00077   }
00078 
00080   csPlane2 (const csVector2& v1, const csVector2& v2)
00081   {
00082     Set (v1, v2);
00083   }
00084 
00086   csPlane2 (const csSegment2& s)
00087   {
00088     Set (s);
00089   }
00090 
00092   inline csVector2& Normal () { return norm; }
00093 
00095   inline csVector2 GetNormal () const { return norm; }
00096 
00098   inline float A () const { return norm.x; }
00100   inline float B () const { return norm.y; }
00102   inline float C () const { return CC; }
00103 
00105   inline float& A () { return norm.x; }
00107   inline float& B () { return norm.y; }
00109   inline float& C () { return CC; }
00110 
00112   inline void Set (float a, float b, float c)
00113   { norm.x = a; norm.y = b; CC = c; }
00114 
00116   inline float Classify (const csVector2& pt) const { return norm*pt+CC; }
00117 
00119   static float Classify (float A, float B, float C,
00120                          const csVector2& pt)
00121   { return A*pt.x + B*pt.y + C; }
00122 
00128   inline float Distance (const csVector2& pt) const
00129   { return ABS (Classify (pt)); }
00130 
00137   inline float SquaredDistance (const csVector2& pt) const
00138   {
00139     return Classify (pt) / norm.SquaredNorm ();
00140   }
00141 
00143   void Invert () { norm = -norm;  CC = -CC; }
00144 
00146   void Normalize ()
00147   {
00148     float f = norm.Norm ();
00149     if (f) { norm /= f;  CC /= f; }
00150   }
00151 };
00152 
00155 #endif // __CS_PLANE2_H__

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