text: /****************************************************************************
   Copyright (c) 2010-2012 cocos2d-x.org
   Copyright (c) 2011 ForzeField Studios S.L
   Copyright (c) 2013-2014 Chukong Technologies Inc.
  
   http://www.cocos2d-x.org
   
   Permission is hereby granted, free of charge, to any person obtaining a copy
   of this software and associated documentation files (the "Software"), to deal
   in the Software without restriction, including without limitation the rights
   to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
   copies of the Software, and to permit persons to whom the Software is
   furnished to do so, subject to the following conditions:
   
   The above copyright notice and this permission notice shall be included in
   all copies or substantial portions of the Software.
   
   THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
   IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
   FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
   AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
   LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
   OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
   THE SOFTWARE.
   ****************************************************************************/
  
  #include "math/CCVertex.h"
  #include "base/ccMacros.h"
  
  NS_CC_BEGIN
  
  void ccVertexLineToPolygon(Vec2 *points, float stroke, Vec2 *vertices, unsigned int offset, unsigned int nuPoints)
  {
      nuPoints += offset;
      if(nuPoints<=1) return;
  
      stroke *= 0.5f;
  
      unsigned int idx;
      unsigned int nuPointsMinus = nuPoints-1;
  
      for(unsigned int i = offset; i<nuPoints; i++)
      {
          idx = i*2;
          Vec2 p1 = points[i];
          Vec2 perpVector;
  
          if(i == 0)
              perpVector = (p1 - points[i+1]).getNormalized().getPerp();
          else if(i == nuPointsMinus)
              perpVector = (points[i-1] - p1).getNormalized().getPerp();
          else
          {
              Vec2 p2 = points[i+1];
              Vec2 p0 = points[i-1];
  
              Vec2 p2p1 = (p2 - p1).getNormalized();
              Vec2 p0p1 = (p0 - p1).getNormalized();
  
              // Calculate angle between vectors
              float angle = acosf(p2p1.dot(p0p1));
  
              if(angle < CC_DEGREES_TO_RADIANS(70))
                  perpVector = p2p1.getMidpoint(p0p1).getNormalized().getPerp();
              else if(angle < CC_DEGREES_TO_RADIANS(170))
                  perpVector = p2p1.getMidpoint(p0p1).getNormalized();
              else
                  perpVector = (p2 - p0).getNormalized().getPerp();
          }
          perpVector = perpVector * stroke;
  
          vertices[idx] = Vec2(p1.x+perpVector.x, p1.y+perpVector.y);
          vertices[idx+1] = Vec2(p1.x-perpVector.x, p1.y-perpVector.y);
  
      }
  
      // Validate vertexes
      offset = (offset==0) ? 0 : offset-1;
      for(unsigned int i = offset; i<nuPointsMinus; i++)
      {
          idx = i*2;
          const unsigned int idx1 = idx+2;
  
          Vec2 p1 = vertices[idx];
          Vec2 p2 = vertices[idx+1];
          Vec2 p3 = vertices[idx1];
          Vec2 p4 = vertices[idx1+1];
  
          float s;
          //BOOL fixVertex = !ccpLineIntersect(Vec2(p1.x, p1.y), Vec2(p4.x, p4.y), Vec2(p2.x, p2.y), Vec2(p3.x, p3.y), &s, &t);
          bool fixVertex = !ccVertexLineIntersect(p1.x, p1.y, p4.x, p4.y, p2.x, p2.y, p3.x, p3.y, &s);
          if(!fixVertex)
              if (s<0.0f || s>1.0f)
                  fixVertex = true;
  
          if(fixVertex)
          {
              vertices[idx1] = p4;
              vertices[idx1+1] = p3;
          }
      }
  }
  
  bool ccVertexLineIntersect(float Ax, float Ay,
                                 float Bx, float By,
                                 float Cx, float Cy,
                                 float Dx, float Dy, float *T)
  {
      float  distAB, theCos, theSin, newX;
  
      // FAIL: Line undefined
      if ((Ax==Bx && Ay==By) || (Cx==Dx && Cy==Dy)) return false;
  
      //  Translate system to make A the origin
      Bx-=Ax; By-=Ay;
      Cx-=Ax; Cy-=Ay;
      Dx-=Ax; Dy-=Ay;
  
      // Length of segment AB
      distAB = sqrtf(Bx*Bx+By*By);
  
      // Rotate the system so that point B is on the positive X axis.
      theCos = Bx/distAB;
      theSin = By/distAB;
      newX = Cx*theCos+Cy*theSin;
      Cy  = Cy*theCos-Cx*theSin; Cx = newX;
      newX = Dx*theCos+Dy*theSin;
      Dy  = Dy*theCos-Dx*theSin; Dx = newX;
  
      // FAIL: Lines are parallel.
      if (Cy == Dy) return false;
  
      // Discover the relative position of the intersection in the line AB
      *T = (Dx+(Cx-Dx)*Dy/(Dy-Cy))/distAB;
  
      // Success.
      return true;
  }
  
  NS_CC_END
  