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Diffstat (limited to 'thirdparty/bullet/LinearMath/btGrahamScan2dConvexHull.h')
-rw-r--r-- | thirdparty/bullet/LinearMath/btGrahamScan2dConvexHull.h | 130 |
1 files changed, 130 insertions, 0 deletions
diff --git a/thirdparty/bullet/LinearMath/btGrahamScan2dConvexHull.h b/thirdparty/bullet/LinearMath/btGrahamScan2dConvexHull.h new file mode 100644 index 0000000000..13a79aa585 --- /dev/null +++ b/thirdparty/bullet/LinearMath/btGrahamScan2dConvexHull.h @@ -0,0 +1,130 @@ +/* +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 |