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+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2009 Erwin Coumans 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.
+*/
+#if defined (_WIN32) || defined (__i386__)
+#define BT_USE_SSE_IN_API
+#endif
+
+#include "BulletCollision/CollisionShapes/btPolyhedralConvexShape.h"
+#include "btConvexPolyhedron.h"
+#include "LinearMath/btConvexHullComputer.h"
+#include <new>
+#include "LinearMath/btGeometryUtil.h"
+#include "LinearMath/btGrahamScan2dConvexHull.h"
+
+
+btPolyhedralConvexShape::btPolyhedralConvexShape() :btConvexInternalShape(),
+m_polyhedron(0)
+{
+
+}
+
+btPolyhedralConvexShape::~btPolyhedralConvexShape()
+{
+ if (m_polyhedron)
+ {
+ m_polyhedron->~btConvexPolyhedron();
+ btAlignedFree(m_polyhedron);
+ }
+}
+
+
+bool btPolyhedralConvexShape::initializePolyhedralFeatures(int shiftVerticesByMargin)
+{
+
+ if (m_polyhedron)
+ {
+ m_polyhedron->~btConvexPolyhedron();
+ btAlignedFree(m_polyhedron);
+ }
+
+ void* mem = btAlignedAlloc(sizeof(btConvexPolyhedron),16);
+ m_polyhedron = new (mem) btConvexPolyhedron;
+
+ btAlignedObjectArray<btVector3> orgVertices;
+
+ for (int i=0;i<getNumVertices();i++)
+ {
+ btVector3& newVertex = orgVertices.expand();
+ getVertex(i,newVertex);
+ }
+
+ btConvexHullComputer conv;
+
+ if (shiftVerticesByMargin)
+ {
+ btAlignedObjectArray<btVector3> planeEquations;
+ btGeometryUtil::getPlaneEquationsFromVertices(orgVertices,planeEquations);
+
+ btAlignedObjectArray<btVector3> shiftedPlaneEquations;
+ for (int p=0;p<planeEquations.size();p++)
+ {
+ btVector3 plane = planeEquations[p];
+ // btScalar margin = getMargin();
+ plane[3] -= getMargin();
+ shiftedPlaneEquations.push_back(plane);
+ }
+
+ btAlignedObjectArray<btVector3> tmpVertices;
+
+ btGeometryUtil::getVerticesFromPlaneEquations(shiftedPlaneEquations,tmpVertices);
+
+ conv.compute(&tmpVertices[0].getX(), sizeof(btVector3),tmpVertices.size(),0.f,0.f);
+ } else
+ {
+
+ conv.compute(&orgVertices[0].getX(), sizeof(btVector3),orgVertices.size(),0.f,0.f);
+ }
+
+
+
+ btAlignedObjectArray<btVector3> faceNormals;
+ int numFaces = conv.faces.size();
+ faceNormals.resize(numFaces);
+ btConvexHullComputer* convexUtil = &conv;
+
+
+ btAlignedObjectArray<btFace> tmpFaces;
+ tmpFaces.resize(numFaces);
+
+ int numVertices = convexUtil->vertices.size();
+ m_polyhedron->m_vertices.resize(numVertices);
+ for (int p=0;p<numVertices;p++)
+ {
+ m_polyhedron->m_vertices[p] = convexUtil->vertices[p];
+ }
+
+
+ for (int i=0;i<numFaces;i++)
+ {
+ int face = convexUtil->faces[i];
+ //printf("face=%d\n",face);
+ const btConvexHullComputer::Edge* firstEdge = &convexUtil->edges[face];
+ const btConvexHullComputer::Edge* edge = firstEdge;
+
+ btVector3 edges[3];
+ int numEdges = 0;
+ //compute face normals
+
+ do
+ {
+
+ int src = edge->getSourceVertex();
+ tmpFaces[i].m_indices.push_back(src);
+ int targ = edge->getTargetVertex();
+ btVector3 wa = convexUtil->vertices[src];
+
+ btVector3 wb = convexUtil->vertices[targ];
+ btVector3 newEdge = wb-wa;
+ newEdge.normalize();
+ if (numEdges<2)
+ edges[numEdges++] = newEdge;
+
+ edge = edge->getNextEdgeOfFace();
+ } while (edge!=firstEdge);
+
+ btScalar planeEq = 1e30f;
+
+
+ if (numEdges==2)
+ {
+ faceNormals[i] = edges[0].cross(edges[1]);
+ faceNormals[i].normalize();
+ tmpFaces[i].m_plane[0] = faceNormals[i].getX();
+ tmpFaces[i].m_plane[1] = faceNormals[i].getY();
+ tmpFaces[i].m_plane[2] = faceNormals[i].getZ();
+ tmpFaces[i].m_plane[3] = planeEq;
+
+ }
+ else
+ {
+ btAssert(0);//degenerate?
+ faceNormals[i].setZero();
+ }
+
+ for (int v=0;v<tmpFaces[i].m_indices.size();v++)
+ {
+ btScalar eq = m_polyhedron->m_vertices[tmpFaces[i].m_indices[v]].dot(faceNormals[i]);
+ if (planeEq>eq)
+ {
+ planeEq=eq;
+ }
+ }
+ tmpFaces[i].m_plane[3] = -planeEq;
+ }
+
+ //merge coplanar faces and copy them to m_polyhedron
+
+ btScalar faceWeldThreshold= 0.999f;
+ btAlignedObjectArray<int> todoFaces;
+ for (int i=0;i<tmpFaces.size();i++)
+ todoFaces.push_back(i);
+
+ while (todoFaces.size())
+ {
+ btAlignedObjectArray<int> coplanarFaceGroup;
+ int refFace = todoFaces[todoFaces.size()-1];
+
+ coplanarFaceGroup.push_back(refFace);
+ btFace& faceA = tmpFaces[refFace];
+ todoFaces.pop_back();
+
+ btVector3 faceNormalA(faceA.m_plane[0],faceA.m_plane[1],faceA.m_plane[2]);
+ for (int j=todoFaces.size()-1;j>=0;j--)
+ {
+ int i = todoFaces[j];
+ btFace& faceB = tmpFaces[i];
+ btVector3 faceNormalB(faceB.m_plane[0],faceB.m_plane[1],faceB.m_plane[2]);
+ if (faceNormalA.dot(faceNormalB)>faceWeldThreshold)
+ {
+ coplanarFaceGroup.push_back(i);
+ todoFaces.remove(i);
+ }
+ }
+
+
+ bool did_merge = false;
+ if (coplanarFaceGroup.size()>1)
+ {
+ //do the merge: use Graham Scan 2d convex hull
+
+ btAlignedObjectArray<GrahamVector3> orgpoints;
+ btVector3 averageFaceNormal(0,0,0);
+
+ for (int i=0;i<coplanarFaceGroup.size();i++)
+ {
+// m_polyhedron->m_faces.push_back(tmpFaces[coplanarFaceGroup[i]]);
+
+ btFace& face = tmpFaces[coplanarFaceGroup[i]];
+ btVector3 faceNormal(face.m_plane[0],face.m_plane[1],face.m_plane[2]);
+ averageFaceNormal+=faceNormal;
+ for (int f=0;f<face.m_indices.size();f++)
+ {
+ int orgIndex = face.m_indices[f];
+ btVector3 pt = m_polyhedron->m_vertices[orgIndex];
+
+ bool found = false;
+
+ for (int i=0;i<orgpoints.size();i++)
+ {
+ //if ((orgpoints[i].m_orgIndex == orgIndex) || ((rotatedPt-orgpoints[i]).length2()<0.0001))
+ if (orgpoints[i].m_orgIndex == orgIndex)
+ {
+ found=true;
+ break;
+ }
+ }
+ if (!found)
+ orgpoints.push_back(GrahamVector3(pt,orgIndex));
+ }
+ }
+
+
+
+ btFace combinedFace;
+ for (int i=0;i<4;i++)
+ combinedFace.m_plane[i] = tmpFaces[coplanarFaceGroup[0]].m_plane[i];
+
+ btAlignedObjectArray<GrahamVector3> hull;
+
+ averageFaceNormal.normalize();
+ GrahamScanConvexHull2D(orgpoints,hull,averageFaceNormal);
+
+ for (int i=0;i<hull.size();i++)
+ {
+ combinedFace.m_indices.push_back(hull[i].m_orgIndex);
+ for(int k = 0; k < orgpoints.size(); k++)
+ {
+ if(orgpoints[k].m_orgIndex == hull[i].m_orgIndex)
+ {
+ orgpoints[k].m_orgIndex = -1; // invalidate...
+ break;
+ }
+ }
+ }
+
+ // are there rejected vertices?
+ bool reject_merge = false;
+
+
+
+ for(int i = 0; i < orgpoints.size(); i++) {
+ if(orgpoints[i].m_orgIndex == -1)
+ continue; // this is in the hull...
+ // this vertex is rejected -- is anybody else using this vertex?
+ for(int j = 0; j < tmpFaces.size(); j++) {
+
+ btFace& face = tmpFaces[j];
+ // is this a face of the current coplanar group?
+ bool is_in_current_group = false;
+ for(int k = 0; k < coplanarFaceGroup.size(); k++) {
+ if(coplanarFaceGroup[k] == j) {
+ is_in_current_group = true;
+ break;
+ }
+ }
+ if(is_in_current_group) // ignore this face...
+ continue;
+ // does this face use this rejected vertex?
+ for(int v = 0; v < face.m_indices.size(); v++) {
+ if(face.m_indices[v] == orgpoints[i].m_orgIndex) {
+ // this rejected vertex is used in another face -- reject merge
+ reject_merge = true;
+ break;
+ }
+ }
+ if(reject_merge)
+ break;
+ }
+ if(reject_merge)
+ break;
+ }
+
+ if (!reject_merge)
+ {
+ // do this merge!
+ did_merge = true;
+ m_polyhedron->m_faces.push_back(combinedFace);
+ }
+ }
+ if(!did_merge)
+ {
+ for (int i=0;i<coplanarFaceGroup.size();i++)
+ {
+ btFace face = tmpFaces[coplanarFaceGroup[i]];
+ m_polyhedron->m_faces.push_back(face);
+ }
+
+ }
+
+
+
+ }
+
+ m_polyhedron->initialize();
+
+ return true;
+}
+
+#ifndef MIN
+ #define MIN(_a, _b) ((_a) < (_b) ? (_a) : (_b))
+#endif
+
+btVector3 btPolyhedralConvexShape::localGetSupportingVertexWithoutMargin(const btVector3& vec0)const
+{
+
+
+ btVector3 supVec(0,0,0);
+#ifndef __SPU__
+ int i;
+ btScalar maxDot(btScalar(-BT_LARGE_FLOAT));
+
+ btVector3 vec = vec0;
+ btScalar lenSqr = vec.length2();
+ if (lenSqr < btScalar(0.0001))
+ {
+ vec.setValue(1,0,0);
+ } else
+ {
+ btScalar rlen = btScalar(1.) / btSqrt(lenSqr );
+ vec *= rlen;
+ }
+
+ btVector3 vtx;
+ btScalar newDot;
+
+ for( int k = 0; k < getNumVertices(); k += 128 )
+ {
+ btVector3 temp[128];
+ int inner_count = MIN(getNumVertices() - k, 128);
+ for( i = 0; i < inner_count; i++ )
+ getVertex(i,temp[i]);
+ i = (int) vec.maxDot( temp, inner_count, newDot);
+ if (newDot > maxDot)
+ {
+ maxDot = newDot;
+ supVec = temp[i];
+ }
+ }
+
+#endif //__SPU__
+ return supVec;
+}
+
+
+
+void btPolyhedralConvexShape::batchedUnitVectorGetSupportingVertexWithoutMargin(const btVector3* vectors,btVector3* supportVerticesOut,int numVectors) const
+{
+#ifndef __SPU__
+ int i;
+
+ btVector3 vtx;
+ btScalar newDot;
+
+ for (i=0;i<numVectors;i++)
+ {
+ supportVerticesOut[i][3] = btScalar(-BT_LARGE_FLOAT);
+ }
+
+ for (int j=0;j<numVectors;j++)
+ {
+ const btVector3& vec = vectors[j];
+
+ for( int k = 0; k < getNumVertices(); k += 128 )
+ {
+ btVector3 temp[128];
+ int inner_count = MIN(getNumVertices() - k, 128);
+ for( i = 0; i < inner_count; i++ )
+ getVertex(i,temp[i]);
+ i = (int) vec.maxDot( temp, inner_count, newDot);
+ if (newDot > supportVerticesOut[j][3])
+ {
+ supportVerticesOut[j] = temp[i];
+ supportVerticesOut[j][3] = newDot;
+ }
+ }
+ }
+
+#endif //__SPU__
+}
+
+
+
+void btPolyhedralConvexShape::calculateLocalInertia(btScalar mass,btVector3& inertia) const
+{
+#ifndef __SPU__
+ //not yet, return box inertia
+
+ btScalar margin = getMargin();
+
+ btTransform ident;
+ ident.setIdentity();
+ btVector3 aabbMin,aabbMax;
+ getAabb(ident,aabbMin,aabbMax);
+ btVector3 halfExtents = (aabbMax-aabbMin)*btScalar(0.5);
+
+ btScalar lx=btScalar(2.)*(halfExtents.x()+margin);
+ btScalar ly=btScalar(2.)*(halfExtents.y()+margin);
+ btScalar lz=btScalar(2.)*(halfExtents.z()+margin);
+ const btScalar x2 = lx*lx;
+ const btScalar y2 = ly*ly;
+ const btScalar z2 = lz*lz;
+ const btScalar scaledmass = mass * btScalar(0.08333333);
+
+ inertia = scaledmass * (btVector3(y2+z2,x2+z2,x2+y2));
+#endif //__SPU__
+}
+
+
+
+void btPolyhedralConvexAabbCachingShape::setLocalScaling(const btVector3& scaling)
+{
+ btConvexInternalShape::setLocalScaling(scaling);
+ recalcLocalAabb();
+}
+
+btPolyhedralConvexAabbCachingShape::btPolyhedralConvexAabbCachingShape()
+:btPolyhedralConvexShape(),
+m_localAabbMin(1,1,1),
+m_localAabbMax(-1,-1,-1),
+m_isLocalAabbValid(false)
+{
+}
+
+void btPolyhedralConvexAabbCachingShape::getAabb(const btTransform& trans,btVector3& aabbMin,btVector3& aabbMax) const
+{
+ getNonvirtualAabb(trans,aabbMin,aabbMax,getMargin());
+}
+
+void btPolyhedralConvexAabbCachingShape::recalcLocalAabb()
+{
+ m_isLocalAabbValid = true;
+
+ #if 1
+ static const btVector3 _directions[] =
+ {
+ btVector3( 1., 0., 0.),
+ btVector3( 0., 1., 0.),
+ btVector3( 0., 0., 1.),
+ btVector3( -1., 0., 0.),
+ btVector3( 0., -1., 0.),
+ btVector3( 0., 0., -1.)
+ };
+
+ btVector3 _supporting[] =
+ {
+ btVector3( 0., 0., 0.),
+ btVector3( 0., 0., 0.),
+ btVector3( 0., 0., 0.),
+ btVector3( 0., 0., 0.),
+ btVector3( 0., 0., 0.),
+ btVector3( 0., 0., 0.)
+ };
+
+ batchedUnitVectorGetSupportingVertexWithoutMargin(_directions, _supporting, 6);
+
+ for ( int i = 0; i < 3; ++i )
+ {
+ m_localAabbMax[i] = _supporting[i][i] + m_collisionMargin;
+ m_localAabbMin[i] = _supporting[i + 3][i] - m_collisionMargin;
+ }
+
+ #else
+
+ for (int i=0;i<3;i++)
+ {
+ btVector3 vec(btScalar(0.),btScalar(0.),btScalar(0.));
+ vec[i] = btScalar(1.);
+ btVector3 tmp = localGetSupportingVertex(vec);
+ m_localAabbMax[i] = tmp[i];
+ vec[i] = btScalar(-1.);
+ tmp = localGetSupportingVertex(vec);
+ m_localAabbMin[i] = tmp[i];
+ }
+ #endif
+}
+
+
+
+