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+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2011 Advanced Micro Devices, Inc. http://bulletphysics.org
+
+This software is provided 'as-is', without any express or implied warranty.
+In no event will the authors be held liable for any damages arising from the use of this software.
+Permission is granted to anyone to use this software for any purpose,
+including commercial applications, and to alter it and redistribute it freely,
+subject to the following restrictions:
+
+1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
+2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
+3. This notice may not be removed or altered from any source distribution.
+*/
+
+
+#ifndef GRAHAM_SCAN_2D_CONVEX_HULL_H
+#define GRAHAM_SCAN_2D_CONVEX_HULL_H
+
+
+#include "btVector3.h"
+#include "btAlignedObjectArray.h"
+
+struct GrahamVector3 : public btVector3
+{
+ GrahamVector3(const btVector3& org, int orgIndex)
+ :btVector3(org),
+ m_orgIndex(orgIndex)
+ {
+ }
+ btScalar m_angle;
+ int m_orgIndex;
+};
+
+
+struct btAngleCompareFunc {
+ btVector3 m_anchor;
+ btAngleCompareFunc(const btVector3& anchor)
+ : m_anchor(anchor)
+ {
+ }
+ bool operator()(const GrahamVector3& a, const GrahamVector3& b) const {
+ if (a.m_angle != b.m_angle)
+ return a.m_angle < b.m_angle;
+ else
+ {
+ btScalar al = (a-m_anchor).length2();
+ btScalar bl = (b-m_anchor).length2();
+ if (al != bl)
+ return al < bl;
+ else
+ {
+ return a.m_orgIndex < b.m_orgIndex;
+ }
+ }
+ }
+};
+
+inline void GrahamScanConvexHull2D(btAlignedObjectArray<GrahamVector3>& originalPoints, btAlignedObjectArray<GrahamVector3>& hull, const btVector3& normalAxis)
+{
+ btVector3 axis0,axis1;
+ btPlaneSpace1(normalAxis,axis0,axis1);
+
+
+ if (originalPoints.size()<=1)
+ {
+ for (int i=0;i<originalPoints.size();i++)
+ hull.push_back(originalPoints[0]);
+ return;
+ }
+ //step1 : find anchor point with smallest projection on axis0 and move it to first location
+ for (int i=0;i<originalPoints.size();i++)
+ {
+// const btVector3& left = originalPoints[i];
+// const btVector3& right = originalPoints[0];
+ btScalar projL = originalPoints[i].dot(axis0);
+ btScalar projR = originalPoints[0].dot(axis0);
+ if (projL < projR)
+ {
+ originalPoints.swap(0,i);
+ }
+ }
+
+ //also precompute angles
+ originalPoints[0].m_angle = -1e30f;
+ for (int i=1;i<originalPoints.size();i++)
+ {
+ btVector3 ar = originalPoints[i]-originalPoints[0];
+ btScalar ar1 = axis1.dot(ar);
+ btScalar ar0 = axis0.dot(ar);
+ if( ar1*ar1+ar0*ar0 < FLT_EPSILON )
+ {
+ originalPoints[i].m_angle = 0.0f;
+ }
+ else
+ {
+ originalPoints[i].m_angle = btAtan2Fast(ar1, ar0);
+ }
+ }
+
+ //step 2: sort all points, based on 'angle' with this anchor
+ btAngleCompareFunc comp(originalPoints[0]);
+ originalPoints.quickSortInternal(comp,1,originalPoints.size()-1);
+
+ int i;
+ for (i = 0; i<2; i++)
+ hull.push_back(originalPoints[i]);
+
+ //step 3: keep all 'convex' points and discard concave points (using back tracking)
+ for (; i != originalPoints.size(); i++)
+ {
+ bool isConvex = false;
+ while (!isConvex&& hull.size()>1) {
+ btVector3& a = hull[hull.size()-2];
+ btVector3& b = hull[hull.size()-1];
+ isConvex = btCross(a-b,a-originalPoints[i]).dot(normalAxis)> 0;
+ if (!isConvex)
+ hull.pop_back();
+ else
+ hull.push_back(originalPoints[i]);
+ }
+
+ if( hull.size() == 1 )
+ {
+ hull.push_back( originalPoints[i] );
+ }
+ }
+}
+
+#endif //GRAHAM_SCAN_2D_CONVEX_HULL_H