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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 #define CS_POLY_IN 1
00030 #define CS_POLY_ON 0
00031 #define CS_POLY_OUT -1
00032 
00033 #include "csgeom/vector2.h"
00034 #include "csgeom/segment.h"
00035 
00036 class csPoly2D;
00037 
00043 class csPlane2
00044 {
00045 public:
00047   csVector2 norm;
00048 
00050   float CC;
00051 
00053   csPlane2 () : norm (0,1), CC (0) {}
00054 
00056   csPlane2 (const csVector2& plane_norm, float c=0) : norm (plane_norm), CC (c) {}
00057 
00059   csPlane2 (float a, float b, float c=0) : norm (a,b), CC (c) {}
00060 
00062   inline void Set (const csVector2& v1, const csVector2& v2)
00063   {
00064     norm.x = v2.y-v1.y;
00065     norm.y = -(v2.x-v1.x);
00066     CC = - (v2 * norm);
00067   }
00068 
00070   inline void Set (const csSegment2& s)
00071   {
00072     Set (s.Start (), s.End ());
00073   }
00074 
00076   csPlane2 (const csVector2& v1, const csVector2& v2)
00077   {
00078     Set (v1, v2);
00079   }
00080 
00082   csPlane2 (const csSegment2& s)
00083   {
00084     Set (s);
00085   }
00086 
00088   inline csVector2& Normal () { return norm; }
00089 
00091   inline csVector2 GetNormal () const { return norm; }
00092 
00094   inline float A () const { return norm.x; }
00096   inline float B () const { return norm.y; }
00098   inline float C () const { return CC; }
00099 
00101   inline float& A () { return norm.x; }
00103   inline float& B () { return norm.y; }
00105   inline float& C () { return CC; }
00106 
00108   inline void Set (float a, float b, float c)
00109   { norm.x = a; norm.y = b; CC = c; }
00110 
00112   inline float Classify (const csVector2& pt) const { return norm*pt+CC; }
00113 
00115   static float Classify (float A, float B, float C,
00116                          const csVector2& pt)
00117   { return A*pt.x + B*pt.y + C; }
00118 
00124   inline float Distance (const csVector2& pt) const
00125   { return ABS (Classify (pt)); }
00126 
00133   inline float SquaredDistance (const csVector2& pt) const
00134   {
00135     return Classify (pt) / norm.SquaredNorm ();
00136   }
00137 
00139   void Invert () { norm = -norm;  CC = -CC; }
00140 
00142   void Normalize ()
00143   {
00144     float f = norm.Norm ();
00145     if (f) { norm /= f;  CC /= f; }
00146   }
00147 };
00148 
00151 #endif // __CS_PLANE2_H__

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