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-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btComputeGjkEpaPenetration.h369
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.cpp242
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.h59
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.cpp20
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.h73
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexPenetrationDepthSolver.h40
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btDiscreteCollisionDetectorInterface.h90
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkCollisionDescription.h41
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.cpp176
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.h50
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp1048
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.h75
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h1035
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.cpp66
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.h43
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.cpp467
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.h103
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btManifoldPoint.h180
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.cpp361
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.h40
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMprPenetration.h908
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.cpp308
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.h268
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPointCollector.h64
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.cpp570
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.h49
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.cpp178
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.h74
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h63
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.cpp160
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.h50
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.cpp612
-rw-r--r--thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.h185
33 files changed, 8067 insertions, 0 deletions
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btComputeGjkEpaPenetration.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btComputeGjkEpaPenetration.h
new file mode 100644
index 0000000000..9eb880b8df
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btComputeGjkEpaPenetration.h
@@ -0,0 +1,369 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2014 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.
+*/
+
+#ifndef BT_GJK_EPA_PENETATION_CONVEX_COLLISION_H
+#define BT_GJK_EPA_PENETATION_CONVEX_COLLISION_H
+
+#include "LinearMath/btTransform.h" // Note that btVector3 might be double precision...
+#include "btGjkEpa3.h"
+#include "btGjkCollisionDescription.h"
+#include "BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.h"
+
+
+
+
+
+
+template <typename btConvexTemplate>
+bool btGjkEpaCalcPenDepth(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btGjkCollisionDescription& colDesc,
+ btVector3& v, btVector3& wWitnessOnA, btVector3& wWitnessOnB)
+{
+ (void)v;
+
+ // const btScalar radialmargin(btScalar(0.));
+
+ btVector3 guessVector(b.getWorldTransform().getOrigin()-a.getWorldTransform().getOrigin());//?? why not use the GJK input?
+
+ btGjkEpaSolver3::sResults results;
+
+
+ if(btGjkEpaSolver3_Penetration(a,b,guessVector,results))
+
+ {
+ // debugDraw->drawLine(results.witnesses[1],results.witnesses[1]+results.normal,btVector3(255,0,0));
+ //resultOut->addContactPoint(results.normal,results.witnesses[1],-results.depth);
+ wWitnessOnA = results.witnesses[0];
+ wWitnessOnB = results.witnesses[1];
+ v = results.normal;
+ return true;
+ } else
+ {
+ if(btGjkEpaSolver3_Distance(a,b,guessVector,results))
+ {
+ wWitnessOnA = results.witnesses[0];
+ wWitnessOnB = results.witnesses[1];
+ v = results.normal;
+ return false;
+ }
+ }
+ return false;
+}
+
+template <typename btConvexTemplate, typename btGjkDistanceTemplate>
+int btComputeGjkEpaPenetration(const btConvexTemplate& a, const btConvexTemplate& b, const btGjkCollisionDescription& colDesc, btVoronoiSimplexSolver& simplexSolver, btGjkDistanceTemplate* distInfo)
+{
+
+ bool m_catchDegeneracies = true;
+ btScalar m_cachedSeparatingDistance = 0.f;
+
+ btScalar distance=btScalar(0.);
+ btVector3 normalInB(btScalar(0.),btScalar(0.),btScalar(0.));
+
+ btVector3 pointOnA,pointOnB;
+ btTransform localTransA = a.getWorldTransform();
+ btTransform localTransB = b.getWorldTransform();
+
+ btScalar marginA = a.getMargin();
+ btScalar marginB = b.getMargin();
+
+ int m_curIter = 0;
+ int gGjkMaxIter = colDesc.m_maxGjkIterations;//this is to catch invalid input, perhaps check for #NaN?
+ btVector3 m_cachedSeparatingAxis = colDesc.m_firstDir;
+
+ bool isValid = false;
+ bool checkSimplex = false;
+ bool checkPenetration = true;
+ int m_degenerateSimplex = 0;
+
+ int m_lastUsedMethod = -1;
+
+ {
+ btScalar squaredDistance = BT_LARGE_FLOAT;
+ btScalar delta = btScalar(0.);
+
+ btScalar margin = marginA + marginB;
+
+
+
+ simplexSolver.reset();
+
+ for ( ; ; )
+ //while (true)
+ {
+
+ btVector3 seperatingAxisInA = (-m_cachedSeparatingAxis)* localTransA.getBasis();
+ btVector3 seperatingAxisInB = m_cachedSeparatingAxis* localTransB.getBasis();
+
+ btVector3 pInA = a.getLocalSupportWithoutMargin(seperatingAxisInA);
+ btVector3 qInB = b.getLocalSupportWithoutMargin(seperatingAxisInB);
+
+ btVector3 pWorld = localTransA(pInA);
+ btVector3 qWorld = localTransB(qInB);
+
+
+
+ btVector3 w = pWorld - qWorld;
+ delta = m_cachedSeparatingAxis.dot(w);
+
+ // potential exit, they don't overlap
+ if ((delta > btScalar(0.0)) && (delta * delta > squaredDistance * colDesc.m_maximumDistanceSquared))
+ {
+ m_degenerateSimplex = 10;
+ checkSimplex=true;
+ //checkPenetration = false;
+ break;
+ }
+
+ //exit 0: the new point is already in the simplex, or we didn't come any closer
+ if (simplexSolver.inSimplex(w))
+ {
+ m_degenerateSimplex = 1;
+ checkSimplex = true;
+ break;
+ }
+ // are we getting any closer ?
+ btScalar f0 = squaredDistance - delta;
+ btScalar f1 = squaredDistance * colDesc.m_gjkRelError2;
+
+ if (f0 <= f1)
+ {
+ if (f0 <= btScalar(0.))
+ {
+ m_degenerateSimplex = 2;
+ } else
+ {
+ m_degenerateSimplex = 11;
+ }
+ checkSimplex = true;
+ break;
+ }
+
+ //add current vertex to simplex
+ simplexSolver.addVertex(w, pWorld, qWorld);
+ btVector3 newCachedSeparatingAxis;
+
+ //calculate the closest point to the origin (update vector v)
+ if (!simplexSolver.closest(newCachedSeparatingAxis))
+ {
+ m_degenerateSimplex = 3;
+ checkSimplex = true;
+ break;
+ }
+
+ if(newCachedSeparatingAxis.length2()<colDesc.m_gjkRelError2)
+ {
+ m_cachedSeparatingAxis = newCachedSeparatingAxis;
+ m_degenerateSimplex = 6;
+ checkSimplex = true;
+ break;
+ }
+
+ btScalar previousSquaredDistance = squaredDistance;
+ squaredDistance = newCachedSeparatingAxis.length2();
+#if 0
+ ///warning: this termination condition leads to some problems in 2d test case see Bullet/Demos/Box2dDemo
+ if (squaredDistance>previousSquaredDistance)
+ {
+ m_degenerateSimplex = 7;
+ squaredDistance = previousSquaredDistance;
+ checkSimplex = false;
+ break;
+ }
+#endif //
+
+
+ //redundant m_simplexSolver->compute_points(pointOnA, pointOnB);
+
+ //are we getting any closer ?
+ if (previousSquaredDistance - squaredDistance <= SIMD_EPSILON * previousSquaredDistance)
+ {
+ // m_simplexSolver->backup_closest(m_cachedSeparatingAxis);
+ checkSimplex = true;
+ m_degenerateSimplex = 12;
+
+ break;
+ }
+
+ m_cachedSeparatingAxis = newCachedSeparatingAxis;
+
+ //degeneracy, this is typically due to invalid/uninitialized worldtransforms for a btCollisionObject
+ if (m_curIter++ > gGjkMaxIter)
+ {
+#if defined(DEBUG) || defined (_DEBUG)
+
+ printf("btGjkPairDetector maxIter exceeded:%i\n",m_curIter);
+ printf("sepAxis=(%f,%f,%f), squaredDistance = %f\n",
+ m_cachedSeparatingAxis.getX(),
+ m_cachedSeparatingAxis.getY(),
+ m_cachedSeparatingAxis.getZ(),
+ squaredDistance);
+#endif
+
+ break;
+
+ }
+
+
+ bool check = (!simplexSolver.fullSimplex());
+ //bool check = (!m_simplexSolver->fullSimplex() && squaredDistance > SIMD_EPSILON * m_simplexSolver->maxVertex());
+
+ if (!check)
+ {
+ //do we need this backup_closest here ?
+ // m_simplexSolver->backup_closest(m_cachedSeparatingAxis);
+ m_degenerateSimplex = 13;
+ break;
+ }
+ }
+
+ if (checkSimplex)
+ {
+ simplexSolver.compute_points(pointOnA, pointOnB);
+ normalInB = m_cachedSeparatingAxis;
+
+ btScalar lenSqr =m_cachedSeparatingAxis.length2();
+
+ //valid normal
+ if (lenSqr < 0.0001)
+ {
+ m_degenerateSimplex = 5;
+ }
+ if (lenSqr > SIMD_EPSILON*SIMD_EPSILON)
+ {
+ btScalar rlen = btScalar(1.) / btSqrt(lenSqr );
+ normalInB *= rlen; //normalize
+
+ btScalar s = btSqrt(squaredDistance);
+
+ btAssert(s > btScalar(0.0));
+ pointOnA -= m_cachedSeparatingAxis * (marginA / s);
+ pointOnB += m_cachedSeparatingAxis * (marginB / s);
+ distance = ((btScalar(1.)/rlen) - margin);
+ isValid = true;
+
+ m_lastUsedMethod = 1;
+ } else
+ {
+ m_lastUsedMethod = 2;
+ }
+ }
+
+ bool catchDegeneratePenetrationCase =
+ (m_catchDegeneracies && m_degenerateSimplex && ((distance+margin) < 0.01));
+
+ //if (checkPenetration && !isValid)
+ if (checkPenetration && (!isValid || catchDegeneratePenetrationCase ))
+ {
+ //penetration case
+
+ //if there is no way to handle penetrations, bail out
+
+ // Penetration depth case.
+ btVector3 tmpPointOnA,tmpPointOnB;
+
+ m_cachedSeparatingAxis.setZero();
+
+ bool isValid2 = btGjkEpaCalcPenDepth(a,b,
+ colDesc,
+ m_cachedSeparatingAxis, tmpPointOnA, tmpPointOnB);
+
+ if (isValid2)
+ {
+ btVector3 tmpNormalInB = tmpPointOnB-tmpPointOnA;
+ btScalar lenSqr = tmpNormalInB.length2();
+ if (lenSqr <= (SIMD_EPSILON*SIMD_EPSILON))
+ {
+ tmpNormalInB = m_cachedSeparatingAxis;
+ lenSqr = m_cachedSeparatingAxis.length2();
+ }
+
+ if (lenSqr > (SIMD_EPSILON*SIMD_EPSILON))
+ {
+ tmpNormalInB /= btSqrt(lenSqr);
+ btScalar distance2 = -(tmpPointOnA-tmpPointOnB).length();
+ //only replace valid penetrations when the result is deeper (check)
+ if (!isValid || (distance2 < distance))
+ {
+ distance = distance2;
+ pointOnA = tmpPointOnA;
+ pointOnB = tmpPointOnB;
+ normalInB = tmpNormalInB;
+
+ isValid = true;
+ m_lastUsedMethod = 3;
+ } else
+ {
+ m_lastUsedMethod = 8;
+ }
+ } else
+ {
+ m_lastUsedMethod = 9;
+ }
+ } else
+
+ {
+ ///this is another degenerate case, where the initial GJK calculation reports a degenerate case
+ ///EPA reports no penetration, and the second GJK (using the supporting vector without margin)
+ ///reports a valid positive distance. Use the results of the second GJK instead of failing.
+ ///thanks to Jacob.Langford for the reproduction case
+ ///http://code.google.com/p/bullet/issues/detail?id=250
+
+
+ if (m_cachedSeparatingAxis.length2() > btScalar(0.))
+ {
+ btScalar distance2 = (tmpPointOnA-tmpPointOnB).length()-margin;
+ //only replace valid distances when the distance is less
+ if (!isValid || (distance2 < distance))
+ {
+ distance = distance2;
+ pointOnA = tmpPointOnA;
+ pointOnB = tmpPointOnB;
+ pointOnA -= m_cachedSeparatingAxis * marginA ;
+ pointOnB += m_cachedSeparatingAxis * marginB ;
+ normalInB = m_cachedSeparatingAxis;
+ normalInB.normalize();
+
+ isValid = true;
+ m_lastUsedMethod = 6;
+ } else
+ {
+ m_lastUsedMethod = 5;
+ }
+ }
+ }
+ }
+ }
+
+
+
+ if (isValid && ((distance < 0) || (distance*distance < colDesc.m_maximumDistanceSquared)))
+ {
+
+ m_cachedSeparatingAxis = normalInB;
+ m_cachedSeparatingDistance = distance;
+ distInfo->m_distance = distance;
+ distInfo->m_normalBtoA = normalInB;
+ distInfo->m_pointOnB = pointOnB;
+ distInfo->m_pointOnA = pointOnB+normalInB*distance;
+ return 0;
+ }
+ return -m_lastUsedMethod;
+}
+
+
+
+
+#endif //BT_GJK_EPA_PENETATION_CONVEX_COLLISION_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.cpp
new file mode 100644
index 0000000000..940282f576
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.cpp
@@ -0,0 +1,242 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+
+#include "btContinuousConvexCollision.h"
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+#include "BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h"
+#include "LinearMath/btTransformUtil.h"
+#include "BulletCollision/CollisionShapes/btSphereShape.h"
+
+#include "btGjkPairDetector.h"
+#include "btPointCollector.h"
+#include "BulletCollision/CollisionShapes/btStaticPlaneShape.h"
+
+
+
+btContinuousConvexCollision::btContinuousConvexCollision ( const btConvexShape* convexA,const btConvexShape* convexB,btSimplexSolverInterface* simplexSolver, btConvexPenetrationDepthSolver* penetrationDepthSolver)
+:m_simplexSolver(simplexSolver),
+m_penetrationDepthSolver(penetrationDepthSolver),
+m_convexA(convexA),m_convexB1(convexB),m_planeShape(0)
+{
+}
+
+
+btContinuousConvexCollision::btContinuousConvexCollision( const btConvexShape* convexA,const btStaticPlaneShape* plane)
+:m_simplexSolver(0),
+m_penetrationDepthSolver(0),
+m_convexA(convexA),m_convexB1(0),m_planeShape(plane)
+{
+}
+
+
+/// This maximum should not be necessary. It allows for untested/degenerate cases in production code.
+/// You don't want your game ever to lock-up.
+#define MAX_ITERATIONS 64
+
+void btContinuousConvexCollision::computeClosestPoints( const btTransform& transA, const btTransform& transB,btPointCollector& pointCollector)
+{
+ if (m_convexB1)
+ {
+ m_simplexSolver->reset();
+ btGjkPairDetector gjk(m_convexA,m_convexB1,m_convexA->getShapeType(),m_convexB1->getShapeType(),m_convexA->getMargin(),m_convexB1->getMargin(),m_simplexSolver,m_penetrationDepthSolver);
+ btGjkPairDetector::ClosestPointInput input;
+ input.m_transformA = transA;
+ input.m_transformB = transB;
+ gjk.getClosestPoints(input,pointCollector,0);
+ } else
+ {
+ //convex versus plane
+ const btConvexShape* convexShape = m_convexA;
+ const btStaticPlaneShape* planeShape = m_planeShape;
+
+ const btVector3& planeNormal = planeShape->getPlaneNormal();
+ const btScalar& planeConstant = planeShape->getPlaneConstant();
+
+ btTransform convexWorldTransform = transA;
+ btTransform convexInPlaneTrans;
+ convexInPlaneTrans= transB.inverse() * convexWorldTransform;
+ btTransform planeInConvex;
+ planeInConvex= convexWorldTransform.inverse() * transB;
+
+ btVector3 vtx = convexShape->localGetSupportingVertex(planeInConvex.getBasis()*-planeNormal);
+
+ btVector3 vtxInPlane = convexInPlaneTrans(vtx);
+ btScalar distance = (planeNormal.dot(vtxInPlane) - planeConstant);
+
+ btVector3 vtxInPlaneProjected = vtxInPlane - distance*planeNormal;
+ btVector3 vtxInPlaneWorld = transB * vtxInPlaneProjected;
+ btVector3 normalOnSurfaceB = transB.getBasis() * planeNormal;
+
+ pointCollector.addContactPoint(
+ normalOnSurfaceB,
+ vtxInPlaneWorld,
+ distance);
+ }
+}
+
+bool btContinuousConvexCollision::calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result)
+{
+
+
+ /// compute linear and angular velocity for this interval, to interpolate
+ btVector3 linVelA,angVelA,linVelB,angVelB;
+ btTransformUtil::calculateVelocity(fromA,toA,btScalar(1.),linVelA,angVelA);
+ btTransformUtil::calculateVelocity(fromB,toB,btScalar(1.),linVelB,angVelB);
+
+
+ btScalar boundingRadiusA = m_convexA->getAngularMotionDisc();
+ btScalar boundingRadiusB = m_convexB1?m_convexB1->getAngularMotionDisc():0.f;
+
+ btScalar maxAngularProjectedVelocity = angVelA.length() * boundingRadiusA + angVelB.length() * boundingRadiusB;
+ btVector3 relLinVel = (linVelB-linVelA);
+
+ btScalar relLinVelocLength = (linVelB-linVelA).length();
+
+ if ((relLinVelocLength+maxAngularProjectedVelocity) == 0.f)
+ return false;
+
+
+
+ btScalar lambda = btScalar(0.);
+ btVector3 v(1,0,0);
+
+ int maxIter = MAX_ITERATIONS;
+
+ btVector3 n;
+ n.setValue(btScalar(0.),btScalar(0.),btScalar(0.));
+ bool hasResult = false;
+ btVector3 c;
+
+ btScalar lastLambda = lambda;
+ //btScalar epsilon = btScalar(0.001);
+
+ int numIter = 0;
+ //first solution, using GJK
+
+
+ btScalar radius = 0.001f;
+// result.drawCoordSystem(sphereTr);
+
+ btPointCollector pointCollector1;
+
+ {
+
+ computeClosestPoints(fromA,fromB,pointCollector1);
+
+ hasResult = pointCollector1.m_hasResult;
+ c = pointCollector1.m_pointInWorld;
+ }
+
+ if (hasResult)
+ {
+ btScalar dist;
+ dist = pointCollector1.m_distance + result.m_allowedPenetration;
+ n = pointCollector1.m_normalOnBInWorld;
+ btScalar projectedLinearVelocity = relLinVel.dot(n);
+ if ((projectedLinearVelocity+ maxAngularProjectedVelocity)<=SIMD_EPSILON)
+ return false;
+
+ //not close enough
+ while (dist > radius)
+ {
+ if (result.m_debugDrawer)
+ {
+ result.m_debugDrawer->drawSphere(c,0.2f,btVector3(1,1,1));
+ }
+ btScalar dLambda = btScalar(0.);
+
+ projectedLinearVelocity = relLinVel.dot(n);
+
+
+ //don't report time of impact for motion away from the contact normal (or causes minor penetration)
+ if ((projectedLinearVelocity+ maxAngularProjectedVelocity)<=SIMD_EPSILON)
+ return false;
+
+ dLambda = dist / (projectedLinearVelocity+ maxAngularProjectedVelocity);
+
+
+
+ lambda = lambda + dLambda;
+
+ if (lambda > btScalar(1.))
+ return false;
+
+ if (lambda < btScalar(0.))
+ return false;
+
+
+ //todo: next check with relative epsilon
+ if (lambda <= lastLambda)
+ {
+ return false;
+ //n.setValue(0,0,0);
+ break;
+ }
+ lastLambda = lambda;
+
+
+
+ //interpolate to next lambda
+ btTransform interpolatedTransA,interpolatedTransB,relativeTrans;
+
+ btTransformUtil::integrateTransform(fromA,linVelA,angVelA,lambda,interpolatedTransA);
+ btTransformUtil::integrateTransform(fromB,linVelB,angVelB,lambda,interpolatedTransB);
+ relativeTrans = interpolatedTransB.inverseTimes(interpolatedTransA);
+
+ if (result.m_debugDrawer)
+ {
+ result.m_debugDrawer->drawSphere(interpolatedTransA.getOrigin(),0.2f,btVector3(1,0,0));
+ }
+
+ result.DebugDraw( lambda );
+
+ btPointCollector pointCollector;
+ computeClosestPoints(interpolatedTransA,interpolatedTransB,pointCollector);
+
+ if (pointCollector.m_hasResult)
+ {
+ dist = pointCollector.m_distance+result.m_allowedPenetration;
+ c = pointCollector.m_pointInWorld;
+ n = pointCollector.m_normalOnBInWorld;
+ } else
+ {
+ result.reportFailure(-1, numIter);
+ return false;
+ }
+
+ numIter++;
+ if (numIter > maxIter)
+ {
+ result.reportFailure(-2, numIter);
+ return false;
+ }
+ }
+
+ result.m_fraction = lambda;
+ result.m_normal = n;
+ result.m_hitPoint = c;
+ return true;
+ }
+
+ return false;
+
+}
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.h
new file mode 100644
index 0000000000..bdc0572f75
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.h
@@ -0,0 +1,59 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_CONTINUOUS_COLLISION_CONVEX_CAST_H
+#define BT_CONTINUOUS_COLLISION_CONVEX_CAST_H
+
+#include "btConvexCast.h"
+#include "btSimplexSolverInterface.h"
+class btConvexPenetrationDepthSolver;
+class btConvexShape;
+class btStaticPlaneShape;
+
+/// btContinuousConvexCollision implements angular and linear time of impact for convex objects.
+/// Based on Brian Mirtich's Conservative Advancement idea (PhD thesis).
+/// Algorithm operates in worldspace, in order to keep inbetween motion globally consistent.
+/// It uses GJK at the moment. Future improvement would use minkowski sum / supporting vertex, merging innerloops
+class btContinuousConvexCollision : public btConvexCast
+{
+ btSimplexSolverInterface* m_simplexSolver;
+ btConvexPenetrationDepthSolver* m_penetrationDepthSolver;
+ const btConvexShape* m_convexA;
+ //second object is either a convex or a plane (code sharing)
+ const btConvexShape* m_convexB1;
+ const btStaticPlaneShape* m_planeShape;
+
+ void computeClosestPoints( const btTransform& transA, const btTransform& transB,struct btPointCollector& pointCollector);
+
+public:
+
+ btContinuousConvexCollision (const btConvexShape* shapeA,const btConvexShape* shapeB ,btSimplexSolverInterface* simplexSolver,btConvexPenetrationDepthSolver* penetrationDepthSolver);
+
+ btContinuousConvexCollision(const btConvexShape* shapeA,const btStaticPlaneShape* plane );
+
+ virtual bool calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result);
+
+
+};
+
+
+#endif //BT_CONTINUOUS_COLLISION_CONVEX_CAST_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.cpp
new file mode 100644
index 0000000000..d2a1310b23
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.cpp
@@ -0,0 +1,20 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+#include "btConvexCast.h"
+
+btConvexCast::~btConvexCast()
+{
+}
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.h
new file mode 100644
index 0000000000..bfd79d03be
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexCast.h
@@ -0,0 +1,73 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_CONVEX_CAST_H
+#define BT_CONVEX_CAST_H
+
+#include "LinearMath/btTransform.h"
+#include "LinearMath/btVector3.h"
+#include "LinearMath/btScalar.h"
+class btMinkowskiSumShape;
+#include "LinearMath/btIDebugDraw.h"
+
+/// btConvexCast is an interface for Casting
+class btConvexCast
+{
+public:
+
+
+ virtual ~btConvexCast();
+
+ ///RayResult stores the closest result
+ /// alternatively, add a callback method to decide about closest/all results
+ struct CastResult
+ {
+ //virtual bool addRayResult(const btVector3& normal,btScalar fraction) = 0;
+
+ virtual void DebugDraw(btScalar fraction) {(void)fraction;}
+ virtual void drawCoordSystem(const btTransform& trans) {(void)trans;}
+ virtual void reportFailure(int errNo, int numIterations) {(void)errNo;(void)numIterations;}
+ CastResult()
+ :m_fraction(btScalar(BT_LARGE_FLOAT)),
+ m_debugDrawer(0),
+ m_allowedPenetration(btScalar(0))
+ {
+ }
+
+
+ virtual ~CastResult() {};
+
+ btTransform m_hitTransformA;
+ btTransform m_hitTransformB;
+ btVector3 m_normal;
+ btVector3 m_hitPoint;
+ btScalar m_fraction; //input and output
+ btIDebugDraw* m_debugDrawer;
+ btScalar m_allowedPenetration;
+
+ };
+
+
+ /// cast a convex against another convex object
+ virtual bool calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result) = 0;
+};
+
+#endif //BT_CONVEX_CAST_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexPenetrationDepthSolver.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexPenetrationDepthSolver.h
new file mode 100644
index 0000000000..29620abffb
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btConvexPenetrationDepthSolver.h
@@ -0,0 +1,40 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_CONVEX_PENETRATION_DEPTH_H
+#define BT_CONVEX_PENETRATION_DEPTH_H
+
+class btVector3;
+#include "btSimplexSolverInterface.h"
+class btConvexShape;
+class btTransform;
+
+///ConvexPenetrationDepthSolver provides an interface for penetration depth calculation.
+class btConvexPenetrationDepthSolver
+{
+public:
+
+ virtual ~btConvexPenetrationDepthSolver() {};
+ virtual bool calcPenDepth( btSimplexSolverInterface& simplexSolver,
+ const btConvexShape* convexA,const btConvexShape* convexB,
+ const btTransform& transA,const btTransform& transB,
+ btVector3& v, btVector3& pa, btVector3& pb,
+ class btIDebugDraw* debugDraw) = 0;
+
+
+};
+#endif //BT_CONVEX_PENETRATION_DEPTH_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btDiscreteCollisionDetectorInterface.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btDiscreteCollisionDetectorInterface.h
new file mode 100644
index 0000000000..0ea7b483cf
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btDiscreteCollisionDetectorInterface.h
@@ -0,0 +1,90 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_DISCRETE_COLLISION_DETECTOR1_INTERFACE_H
+#define BT_DISCRETE_COLLISION_DETECTOR1_INTERFACE_H
+
+#include "LinearMath/btTransform.h"
+#include "LinearMath/btVector3.h"
+
+/// This interface is made to be used by an iterative approach to do TimeOfImpact calculations
+/// This interface allows to query for closest points and penetration depth between two (convex) objects
+/// the closest point is on the second object (B), and the normal points from the surface on B towards A.
+/// distance is between closest points on B and closest point on A. So you can calculate closest point on A
+/// by taking closestPointInA = closestPointInB + m_distance * m_normalOnSurfaceB
+struct btDiscreteCollisionDetectorInterface
+{
+
+ struct Result
+ {
+
+ virtual ~Result(){}
+
+ ///setShapeIdentifiersA/B provides experimental support for per-triangle material / custom material combiner
+ virtual void setShapeIdentifiersA(int partId0,int index0)=0;
+ virtual void setShapeIdentifiersB(int partId1,int index1)=0;
+ virtual void addContactPoint(const btVector3& normalOnBInWorld,const btVector3& pointInWorld,btScalar depth)=0;
+ };
+
+ struct ClosestPointInput
+ {
+ ClosestPointInput()
+ :m_maximumDistanceSquared(btScalar(BT_LARGE_FLOAT))
+ {
+ }
+
+ btTransform m_transformA;
+ btTransform m_transformB;
+ btScalar m_maximumDistanceSquared;
+ };
+
+ virtual ~btDiscreteCollisionDetectorInterface() {};
+
+ //
+ // give either closest points (distance > 0) or penetration (distance)
+ // the normal always points from B towards A
+ //
+ virtual void getClosestPoints(const ClosestPointInput& input,Result& output,class btIDebugDraw* debugDraw,bool swapResults=false) = 0;
+
+};
+
+struct btStorageResult : public btDiscreteCollisionDetectorInterface::Result
+{
+ btVector3 m_normalOnSurfaceB;
+ btVector3 m_closestPointInB;
+ btScalar m_distance; //negative means penetration !
+
+ protected:
+ btStorageResult() : m_distance(btScalar(BT_LARGE_FLOAT))
+ {
+ }
+
+ public:
+ virtual ~btStorageResult() {};
+
+ virtual void addContactPoint(const btVector3& normalOnBInWorld,const btVector3& pointInWorld,btScalar depth)
+ {
+ if (depth < m_distance)
+ {
+ m_normalOnSurfaceB = normalOnBInWorld;
+ m_closestPointInB = pointInWorld;
+ m_distance = depth;
+ }
+ }
+};
+
+#endif //BT_DISCRETE_COLLISION_DETECTOR1_INTERFACE_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkCollisionDescription.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkCollisionDescription.h
new file mode 100644
index 0000000000..0b49b0ecc6
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkCollisionDescription.h
@@ -0,0 +1,41 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2014 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.
+*/
+
+
+#ifndef GJK_COLLISION_DESCRIPTION_H
+#define GJK_COLLISION_DESCRIPTION_H
+
+#include "LinearMath/btVector3.h"
+
+struct btGjkCollisionDescription
+{
+ btVector3 m_firstDir;
+ int m_maxGjkIterations;
+ btScalar m_maximumDistanceSquared;
+ btScalar m_gjkRelError2;
+ btGjkCollisionDescription()
+ :m_firstDir(0,1,0),
+ m_maxGjkIterations(1000),
+ m_maximumDistanceSquared(1e30f),
+ m_gjkRelError2(1.0e-6)
+ {
+ }
+ virtual ~btGjkCollisionDescription()
+ {
+ }
+};
+
+#endif //GJK_COLLISION_DESCRIPTION_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.cpp
new file mode 100644
index 0000000000..bef697a0a1
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.cpp
@@ -0,0 +1,176 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+
+
+#include "btGjkConvexCast.h"
+#include "BulletCollision/CollisionShapes/btSphereShape.h"
+#include "btGjkPairDetector.h"
+#include "btPointCollector.h"
+#include "LinearMath/btTransformUtil.h"
+
+#ifdef BT_USE_DOUBLE_PRECISION
+#define MAX_ITERATIONS 64
+#else
+#define MAX_ITERATIONS 32
+#endif
+
+btGjkConvexCast::btGjkConvexCast(const btConvexShape* convexA,const btConvexShape* convexB,btSimplexSolverInterface* simplexSolver)
+:m_simplexSolver(simplexSolver),
+m_convexA(convexA),
+m_convexB(convexB)
+{
+}
+
+bool btGjkConvexCast::calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result)
+{
+
+
+ m_simplexSolver->reset();
+
+ /// compute linear velocity for this interval, to interpolate
+ //assume no rotation/angular velocity, assert here?
+ btVector3 linVelA,linVelB;
+ linVelA = toA.getOrigin()-fromA.getOrigin();
+ linVelB = toB.getOrigin()-fromB.getOrigin();
+
+ btScalar radius = btScalar(0.001);
+ btScalar lambda = btScalar(0.);
+ btVector3 v(1,0,0);
+
+ int maxIter = MAX_ITERATIONS;
+
+ btVector3 n;
+ n.setValue(btScalar(0.),btScalar(0.),btScalar(0.));
+ bool hasResult = false;
+ btVector3 c;
+ btVector3 r = (linVelA-linVelB);
+
+ btScalar lastLambda = lambda;
+ //btScalar epsilon = btScalar(0.001);
+
+ int numIter = 0;
+ //first solution, using GJK
+
+
+ btTransform identityTrans;
+ identityTrans.setIdentity();
+
+
+// result.drawCoordSystem(sphereTr);
+
+ btPointCollector pointCollector;
+
+
+ btGjkPairDetector gjk(m_convexA,m_convexB,m_simplexSolver,0);//m_penetrationDepthSolver);
+ btGjkPairDetector::ClosestPointInput input;
+
+ //we don't use margins during CCD
+ // gjk.setIgnoreMargin(true);
+
+ input.m_transformA = fromA;
+ input.m_transformB = fromB;
+ gjk.getClosestPoints(input,pointCollector,0);
+
+ hasResult = pointCollector.m_hasResult;
+ c = pointCollector.m_pointInWorld;
+
+ if (hasResult)
+ {
+ btScalar dist;
+ dist = pointCollector.m_distance;
+ n = pointCollector.m_normalOnBInWorld;
+
+
+
+ //not close enough
+ while (dist > radius)
+ {
+ numIter++;
+ if (numIter > maxIter)
+ {
+ return false; //todo: report a failure
+ }
+ btScalar dLambda = btScalar(0.);
+
+ btScalar projectedLinearVelocity = r.dot(n);
+
+ dLambda = dist / (projectedLinearVelocity);
+
+ lambda = lambda - dLambda;
+
+ if (lambda > btScalar(1.))
+ return false;
+
+ if (lambda < btScalar(0.))
+ return false;
+
+ //todo: next check with relative epsilon
+ if (lambda <= lastLambda)
+ {
+ return false;
+ //n.setValue(0,0,0);
+ break;
+ }
+ lastLambda = lambda;
+
+ //interpolate to next lambda
+ result.DebugDraw( lambda );
+ input.m_transformA.getOrigin().setInterpolate3(fromA.getOrigin(),toA.getOrigin(),lambda);
+ input.m_transformB.getOrigin().setInterpolate3(fromB.getOrigin(),toB.getOrigin(),lambda);
+
+ gjk.getClosestPoints(input,pointCollector,0);
+ if (pointCollector.m_hasResult)
+ {
+ if (pointCollector.m_distance < btScalar(0.))
+ {
+ result.m_fraction = lastLambda;
+ n = pointCollector.m_normalOnBInWorld;
+ result.m_normal=n;
+ result.m_hitPoint = pointCollector.m_pointInWorld;
+ return true;
+ }
+ c = pointCollector.m_pointInWorld;
+ n = pointCollector.m_normalOnBInWorld;
+ dist = pointCollector.m_distance;
+ } else
+ {
+ //??
+ return false;
+ }
+
+ }
+
+ //is n normalized?
+ //don't report time of impact for motion away from the contact normal (or causes minor penetration)
+ if (n.dot(r)>=-result.m_allowedPenetration)
+ return false;
+
+ result.m_fraction = lambda;
+ result.m_normal = n;
+ result.m_hitPoint = c;
+ return true;
+ }
+
+ return false;
+
+
+}
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.h
new file mode 100644
index 0000000000..6a42ee63b0
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkConvexCast.h
@@ -0,0 +1,50 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_GJK_CONVEX_CAST_H
+#define BT_GJK_CONVEX_CAST_H
+
+#include "BulletCollision/CollisionShapes/btCollisionMargin.h"
+
+#include "LinearMath/btVector3.h"
+#include "btConvexCast.h"
+class btConvexShape;
+class btMinkowskiSumShape;
+#include "btSimplexSolverInterface.h"
+
+///GjkConvexCast performs a raycast on a convex object using support mapping.
+class btGjkConvexCast : public btConvexCast
+{
+ btSimplexSolverInterface* m_simplexSolver;
+ const btConvexShape* m_convexA;
+ const btConvexShape* m_convexB;
+
+public:
+
+ btGjkConvexCast(const btConvexShape* convexA,const btConvexShape* convexB,btSimplexSolverInterface* simplexSolver);
+
+ /// cast a convex against another convex object
+ virtual bool calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result);
+
+};
+
+#endif //BT_GJK_CONVEX_CAST_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp
new file mode 100644
index 0000000000..eefb974bbd
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.cpp
@@ -0,0 +1,1048 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2008 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+/*
+GJK-EPA collision solver by Nathanael Presson, 2008
+*/
+#include "BulletCollision/CollisionShapes/btConvexInternalShape.h"
+#include "BulletCollision/CollisionShapes/btSphereShape.h"
+#include "btGjkEpa2.h"
+
+#if defined(DEBUG) || defined (_DEBUG)
+#include <stdio.h> //for debug printf
+#ifdef __SPU__
+#include <spu_printf.h>
+#define printf spu_printf
+#endif //__SPU__
+#endif
+
+namespace gjkepa2_impl
+{
+
+ // Config
+
+ /* GJK */
+#define GJK_MAX_ITERATIONS 128
+
+#ifdef BT_USE_DOUBLE_PRECISION
+ #define GJK_ACCURACY ((btScalar)1e-12)
+ #define GJK_MIN_DISTANCE ((btScalar)1e-12)
+ #define GJK_DUPLICATED_EPS ((btScalar)1e-12)
+#else
+ #define GJK_ACCURACY ((btScalar)0.0001)
+ #define GJK_MIN_DISTANCE ((btScalar)0.0001)
+ #define GJK_DUPLICATED_EPS ((btScalar)0.0001)
+#endif //BT_USE_DOUBLE_PRECISION
+
+
+#define GJK_SIMPLEX2_EPS ((btScalar)0.0)
+#define GJK_SIMPLEX3_EPS ((btScalar)0.0)
+#define GJK_SIMPLEX4_EPS ((btScalar)0.0)
+
+ /* EPA */
+#define EPA_MAX_VERTICES 128
+#define EPA_MAX_ITERATIONS 255
+
+#ifdef BT_USE_DOUBLE_PRECISION
+ #define EPA_ACCURACY ((btScalar)1e-12)
+ #define EPA_PLANE_EPS ((btScalar)1e-14)
+ #define EPA_INSIDE_EPS ((btScalar)1e-9)
+#else
+ #define EPA_ACCURACY ((btScalar)0.0001)
+ #define EPA_PLANE_EPS ((btScalar)0.00001)
+ #define EPA_INSIDE_EPS ((btScalar)0.01)
+#endif
+
+#define EPA_FALLBACK (10*EPA_ACCURACY)
+#define EPA_MAX_FACES (EPA_MAX_VERTICES*2)
+
+
+ // Shorthands
+ typedef unsigned int U;
+ typedef unsigned char U1;
+
+ // MinkowskiDiff
+ struct MinkowskiDiff
+ {
+ const btConvexShape* m_shapes[2];
+ btMatrix3x3 m_toshape1;
+ btTransform m_toshape0;
+#ifdef __SPU__
+ bool m_enableMargin;
+#else
+ btVector3 (btConvexShape::*Ls)(const btVector3&) const;
+#endif//__SPU__
+
+
+ MinkowskiDiff()
+ {
+
+ }
+#ifdef __SPU__
+ void EnableMargin(bool enable)
+ {
+ m_enableMargin = enable;
+ }
+ inline btVector3 Support0(const btVector3& d) const
+ {
+ if (m_enableMargin)
+ {
+ return m_shapes[0]->localGetSupportVertexNonVirtual(d);
+ } else
+ {
+ return m_shapes[0]->localGetSupportVertexWithoutMarginNonVirtual(d);
+ }
+ }
+ inline btVector3 Support1(const btVector3& d) const
+ {
+ if (m_enableMargin)
+ {
+ return m_toshape0*(m_shapes[1]->localGetSupportVertexNonVirtual(m_toshape1*d));
+ } else
+ {
+ return m_toshape0*(m_shapes[1]->localGetSupportVertexWithoutMarginNonVirtual(m_toshape1*d));
+ }
+ }
+#else
+ void EnableMargin(bool enable)
+ {
+ if(enable)
+ Ls=&btConvexShape::localGetSupportVertexNonVirtual;
+ else
+ Ls=&btConvexShape::localGetSupportVertexWithoutMarginNonVirtual;
+ }
+ inline btVector3 Support0(const btVector3& d) const
+ {
+ return(((m_shapes[0])->*(Ls))(d));
+ }
+ inline btVector3 Support1(const btVector3& d) const
+ {
+ return(m_toshape0*((m_shapes[1])->*(Ls))(m_toshape1*d));
+ }
+#endif //__SPU__
+
+ inline btVector3 Support(const btVector3& d) const
+ {
+ return(Support0(d)-Support1(-d));
+ }
+ btVector3 Support(const btVector3& d,U index) const
+ {
+ if(index)
+ return(Support1(d));
+ else
+ return(Support0(d));
+ }
+ };
+
+ typedef MinkowskiDiff tShape;
+
+
+ // GJK
+ struct GJK
+ {
+ /* Types */
+ struct sSV
+ {
+ btVector3 d,w;
+ };
+ struct sSimplex
+ {
+ sSV* c[4];
+ btScalar p[4];
+ U rank;
+ };
+ struct eStatus { enum _ {
+ Valid,
+ Inside,
+ Failed };};
+ /* Fields */
+ tShape m_shape;
+ btVector3 m_ray;
+ btScalar m_distance;
+ sSimplex m_simplices[2];
+ sSV m_store[4];
+ sSV* m_free[4];
+ U m_nfree;
+ U m_current;
+ sSimplex* m_simplex;
+ eStatus::_ m_status;
+ /* Methods */
+ GJK()
+ {
+ Initialize();
+ }
+ void Initialize()
+ {
+ m_ray = btVector3(0,0,0);
+ m_nfree = 0;
+ m_status = eStatus::Failed;
+ m_current = 0;
+ m_distance = 0;
+ }
+ eStatus::_ Evaluate(const tShape& shapearg,const btVector3& guess)
+ {
+ U iterations=0;
+ btScalar sqdist=0;
+ btScalar alpha=0;
+ btVector3 lastw[4];
+ U clastw=0;
+ /* Initialize solver */
+ m_free[0] = &m_store[0];
+ m_free[1] = &m_store[1];
+ m_free[2] = &m_store[2];
+ m_free[3] = &m_store[3];
+ m_nfree = 4;
+ m_current = 0;
+ m_status = eStatus::Valid;
+ m_shape = shapearg;
+ m_distance = 0;
+ /* Initialize simplex */
+ m_simplices[0].rank = 0;
+ m_ray = guess;
+ const btScalar sqrl= m_ray.length2();
+ appendvertice(m_simplices[0],sqrl>0?-m_ray:btVector3(1,0,0));
+ m_simplices[0].p[0] = 1;
+ m_ray = m_simplices[0].c[0]->w;
+ sqdist = sqrl;
+ lastw[0] =
+ lastw[1] =
+ lastw[2] =
+ lastw[3] = m_ray;
+ /* Loop */
+ do {
+ const U next=1-m_current;
+ sSimplex& cs=m_simplices[m_current];
+ sSimplex& ns=m_simplices[next];
+ /* Check zero */
+ const btScalar rl=m_ray.length();
+ if(rl<GJK_MIN_DISTANCE)
+ {/* Touching or inside */
+ m_status=eStatus::Inside;
+ break;
+ }
+ /* Append new vertice in -'v' direction */
+ appendvertice(cs,-m_ray);
+ const btVector3& w=cs.c[cs.rank-1]->w;
+ bool found=false;
+ for(U i=0;i<4;++i)
+ {
+ if((w-lastw[i]).length2()<GJK_DUPLICATED_EPS)
+ { found=true;break; }
+ }
+ if(found)
+ {/* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ else
+ {/* Update lastw */
+ lastw[clastw=(clastw+1)&3]=w;
+ }
+ /* Check for termination */
+ const btScalar omega=btDot(m_ray,w)/rl;
+ alpha=btMax(omega,alpha);
+ if(((rl-alpha)-(GJK_ACCURACY*rl))<=0)
+ {/* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ /* Reduce simplex */
+ btScalar weights[4];
+ U mask=0;
+ switch(cs.rank)
+ {
+ case 2: sqdist=projectorigin( cs.c[0]->w,
+ cs.c[1]->w,
+ weights,mask);break;
+ case 3: sqdist=projectorigin( cs.c[0]->w,
+ cs.c[1]->w,
+ cs.c[2]->w,
+ weights,mask);break;
+ case 4: sqdist=projectorigin( cs.c[0]->w,
+ cs.c[1]->w,
+ cs.c[2]->w,
+ cs.c[3]->w,
+ weights,mask);break;
+ }
+ if(sqdist>=0)
+ {/* Valid */
+ ns.rank = 0;
+ m_ray = btVector3(0,0,0);
+ m_current = next;
+ for(U i=0,ni=cs.rank;i<ni;++i)
+ {
+ if(mask&(1<<i))
+ {
+ ns.c[ns.rank] = cs.c[i];
+ ns.p[ns.rank++] = weights[i];
+ m_ray += cs.c[i]->w*weights[i];
+ }
+ else
+ {
+ m_free[m_nfree++] = cs.c[i];
+ }
+ }
+ if(mask==15) m_status=eStatus::Inside;
+ }
+ else
+ {/* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ m_status=((++iterations)<GJK_MAX_ITERATIONS)?m_status:eStatus::Failed;
+ } while(m_status==eStatus::Valid);
+ m_simplex=&m_simplices[m_current];
+ switch(m_status)
+ {
+ case eStatus::Valid: m_distance=m_ray.length();break;
+ case eStatus::Inside: m_distance=0;break;
+ default:
+ {
+ }
+ }
+ return(m_status);
+ }
+ bool EncloseOrigin()
+ {
+ switch(m_simplex->rank)
+ {
+ case 1:
+ {
+ for(U i=0;i<3;++i)
+ {
+ btVector3 axis=btVector3(0,0,0);
+ axis[i]=1;
+ appendvertice(*m_simplex, axis);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex,-axis);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ }
+ }
+ break;
+ case 2:
+ {
+ const btVector3 d=m_simplex->c[1]->w-m_simplex->c[0]->w;
+ for(U i=0;i<3;++i)
+ {
+ btVector3 axis=btVector3(0,0,0);
+ axis[i]=1;
+ const btVector3 p=btCross(d,axis);
+ if(p.length2()>0)
+ {
+ appendvertice(*m_simplex, p);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex,-p);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ }
+ }
+ }
+ break;
+ case 3:
+ {
+ const btVector3 n=btCross(m_simplex->c[1]->w-m_simplex->c[0]->w,
+ m_simplex->c[2]->w-m_simplex->c[0]->w);
+ if(n.length2()>0)
+ {
+ appendvertice(*m_simplex,n);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex,-n);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ }
+ }
+ break;
+ case 4:
+ {
+ if(btFabs(det( m_simplex->c[0]->w-m_simplex->c[3]->w,
+ m_simplex->c[1]->w-m_simplex->c[3]->w,
+ m_simplex->c[2]->w-m_simplex->c[3]->w))>0)
+ return(true);
+ }
+ break;
+ }
+ return(false);
+ }
+ /* Internals */
+ void getsupport(const btVector3& d,sSV& sv) const
+ {
+ sv.d = d/d.length();
+ sv.w = m_shape.Support(sv.d);
+ }
+ void removevertice(sSimplex& simplex)
+ {
+ m_free[m_nfree++]=simplex.c[--simplex.rank];
+ }
+ void appendvertice(sSimplex& simplex,const btVector3& v)
+ {
+ simplex.p[simplex.rank]=0;
+ simplex.c[simplex.rank]=m_free[--m_nfree];
+ getsupport(v,*simplex.c[simplex.rank++]);
+ }
+ static btScalar det(const btVector3& a,const btVector3& b,const btVector3& c)
+ {
+ return( a.y()*b.z()*c.x()+a.z()*b.x()*c.y()-
+ a.x()*b.z()*c.y()-a.y()*b.x()*c.z()+
+ a.x()*b.y()*c.z()-a.z()*b.y()*c.x());
+ }
+ static btScalar projectorigin( const btVector3& a,
+ const btVector3& b,
+ btScalar* w,U& m)
+ {
+ const btVector3 d=b-a;
+ const btScalar l=d.length2();
+ if(l>GJK_SIMPLEX2_EPS)
+ {
+ const btScalar t(l>0?-btDot(a,d)/l:0);
+ if(t>=1) { w[0]=0;w[1]=1;m=2;return(b.length2()); }
+ else if(t<=0) { w[0]=1;w[1]=0;m=1;return(a.length2()); }
+ else { w[0]=1-(w[1]=t);m=3;return((a+d*t).length2()); }
+ }
+ return(-1);
+ }
+ static btScalar projectorigin( const btVector3& a,
+ const btVector3& b,
+ const btVector3& c,
+ btScalar* w,U& m)
+ {
+ static const U imd3[]={1,2,0};
+ const btVector3* vt[]={&a,&b,&c};
+ const btVector3 dl[]={a-b,b-c,c-a};
+ const btVector3 n=btCross(dl[0],dl[1]);
+ const btScalar l=n.length2();
+ if(l>GJK_SIMPLEX3_EPS)
+ {
+ btScalar mindist=-1;
+ btScalar subw[2]={0.f,0.f};
+ U subm(0);
+ for(U i=0;i<3;++i)
+ {
+ if(btDot(*vt[i],btCross(dl[i],n))>0)
+ {
+ const U j=imd3[i];
+ const btScalar subd(projectorigin(*vt[i],*vt[j],subw,subm));
+ if((mindist<0)||(subd<mindist))
+ {
+ mindist = subd;
+ m = static_cast<U>(((subm&1)?1<<i:0)+((subm&2)?1<<j:0));
+ w[i] = subw[0];
+ w[j] = subw[1];
+ w[imd3[j]] = 0;
+ }
+ }
+ }
+ if(mindist<0)
+ {
+ const btScalar d=btDot(a,n);
+ const btScalar s=btSqrt(l);
+ const btVector3 p=n*(d/l);
+ mindist = p.length2();
+ m = 7;
+ w[0] = (btCross(dl[1],b-p)).length()/s;
+ w[1] = (btCross(dl[2],c-p)).length()/s;
+ w[2] = 1-(w[0]+w[1]);
+ }
+ return(mindist);
+ }
+ return(-1);
+ }
+ static btScalar projectorigin( const btVector3& a,
+ const btVector3& b,
+ const btVector3& c,
+ const btVector3& d,
+ btScalar* w,U& m)
+ {
+ static const U imd3[]={1,2,0};
+ const btVector3* vt[]={&a,&b,&c,&d};
+ const btVector3 dl[]={a-d,b-d,c-d};
+ const btScalar vl=det(dl[0],dl[1],dl[2]);
+ const bool ng=(vl*btDot(a,btCross(b-c,a-b)))<=0;
+ if(ng&&(btFabs(vl)>GJK_SIMPLEX4_EPS))
+ {
+ btScalar mindist=-1;
+ btScalar subw[3]={0.f,0.f,0.f};
+ U subm(0);
+ for(U i=0;i<3;++i)
+ {
+ const U j=imd3[i];
+ const btScalar s=vl*btDot(d,btCross(dl[i],dl[j]));
+ if(s>0)
+ {
+ const btScalar subd=projectorigin(*vt[i],*vt[j],d,subw,subm);
+ if((mindist<0)||(subd<mindist))
+ {
+ mindist = subd;
+ m = static_cast<U>((subm&1?1<<i:0)+
+ (subm&2?1<<j:0)+
+ (subm&4?8:0));
+ w[i] = subw[0];
+ w[j] = subw[1];
+ w[imd3[j]] = 0;
+ w[3] = subw[2];
+ }
+ }
+ }
+ if(mindist<0)
+ {
+ mindist = 0;
+ m = 15;
+ w[0] = det(c,b,d)/vl;
+ w[1] = det(a,c,d)/vl;
+ w[2] = det(b,a,d)/vl;
+ w[3] = 1-(w[0]+w[1]+w[2]);
+ }
+ return(mindist);
+ }
+ return(-1);
+ }
+ };
+
+ // EPA
+ struct EPA
+ {
+ /* Types */
+ typedef GJK::sSV sSV;
+ struct sFace
+ {
+ btVector3 n;
+ btScalar d;
+ sSV* c[3];
+ sFace* f[3];
+ sFace* l[2];
+ U1 e[3];
+ U1 pass;
+ };
+ struct sList
+ {
+ sFace* root;
+ U count;
+ sList() : root(0),count(0) {}
+ };
+ struct sHorizon
+ {
+ sFace* cf;
+ sFace* ff;
+ U nf;
+ sHorizon() : cf(0),ff(0),nf(0) {}
+ };
+ struct eStatus { enum _ {
+ Valid,
+ Touching,
+ Degenerated,
+ NonConvex,
+ InvalidHull,
+ OutOfFaces,
+ OutOfVertices,
+ AccuraryReached,
+ FallBack,
+ Failed };};
+ /* Fields */
+ eStatus::_ m_status;
+ GJK::sSimplex m_result;
+ btVector3 m_normal;
+ btScalar m_depth;
+ sSV m_sv_store[EPA_MAX_VERTICES];
+ sFace m_fc_store[EPA_MAX_FACES];
+ U m_nextsv;
+ sList m_hull;
+ sList m_stock;
+ /* Methods */
+ EPA()
+ {
+ Initialize();
+ }
+
+
+ static inline void bind(sFace* fa,U ea,sFace* fb,U eb)
+ {
+ fa->e[ea]=(U1)eb;fa->f[ea]=fb;
+ fb->e[eb]=(U1)ea;fb->f[eb]=fa;
+ }
+ static inline void append(sList& list,sFace* face)
+ {
+ face->l[0] = 0;
+ face->l[1] = list.root;
+ if(list.root) list.root->l[0]=face;
+ list.root = face;
+ ++list.count;
+ }
+ static inline void remove(sList& list,sFace* face)
+ {
+ if(face->l[1]) face->l[1]->l[0]=face->l[0];
+ if(face->l[0]) face->l[0]->l[1]=face->l[1];
+ if(face==list.root) list.root=face->l[1];
+ --list.count;
+ }
+
+
+ void Initialize()
+ {
+ m_status = eStatus::Failed;
+ m_normal = btVector3(0,0,0);
+ m_depth = 0;
+ m_nextsv = 0;
+ for(U i=0;i<EPA_MAX_FACES;++i)
+ {
+ append(m_stock,&m_fc_store[EPA_MAX_FACES-i-1]);
+ }
+ }
+ eStatus::_ Evaluate(GJK& gjk,const btVector3& guess)
+ {
+ GJK::sSimplex& simplex=*gjk.m_simplex;
+ if((simplex.rank>1)&&gjk.EncloseOrigin())
+ {
+
+ /* Clean up */
+ while(m_hull.root)
+ {
+ sFace* f = m_hull.root;
+ remove(m_hull,f);
+ append(m_stock,f);
+ }
+ m_status = eStatus::Valid;
+ m_nextsv = 0;
+ /* Orient simplex */
+ if(gjk.det( simplex.c[0]->w-simplex.c[3]->w,
+ simplex.c[1]->w-simplex.c[3]->w,
+ simplex.c[2]->w-simplex.c[3]->w)<0)
+ {
+ btSwap(simplex.c[0],simplex.c[1]);
+ btSwap(simplex.p[0],simplex.p[1]);
+ }
+ /* Build initial hull */
+ sFace* tetra[]={newface(simplex.c[0],simplex.c[1],simplex.c[2],true),
+ newface(simplex.c[1],simplex.c[0],simplex.c[3],true),
+ newface(simplex.c[2],simplex.c[1],simplex.c[3],true),
+ newface(simplex.c[0],simplex.c[2],simplex.c[3],true)};
+ if(m_hull.count==4)
+ {
+ sFace* best=findbest();
+ sFace outer=*best;
+ U pass=0;
+ U iterations=0;
+ bind(tetra[0],0,tetra[1],0);
+ bind(tetra[0],1,tetra[2],0);
+ bind(tetra[0],2,tetra[3],0);
+ bind(tetra[1],1,tetra[3],2);
+ bind(tetra[1],2,tetra[2],1);
+ bind(tetra[2],2,tetra[3],1);
+ m_status=eStatus::Valid;
+ for(;iterations<EPA_MAX_ITERATIONS;++iterations)
+ {
+ if(m_nextsv<EPA_MAX_VERTICES)
+ {
+ sHorizon horizon;
+ sSV* w=&m_sv_store[m_nextsv++];
+ bool valid=true;
+ best->pass = (U1)(++pass);
+ gjk.getsupport(best->n,*w);
+ const btScalar wdist=btDot(best->n,w->w)-best->d;
+ if(wdist>EPA_ACCURACY)
+ {
+ for(U j=0;(j<3)&&valid;++j)
+ {
+ valid&=expand( pass,w,
+ best->f[j],best->e[j],
+ horizon);
+ }
+ if(valid&&(horizon.nf>=3))
+ {
+ bind(horizon.cf,1,horizon.ff,2);
+ remove(m_hull,best);
+ append(m_stock,best);
+ best=findbest();
+ outer=*best;
+ } else { m_status=eStatus::InvalidHull;break; }
+ } else { m_status=eStatus::AccuraryReached;break; }
+ } else { m_status=eStatus::OutOfVertices;break; }
+ }
+ const btVector3 projection=outer.n*outer.d;
+ m_normal = outer.n;
+ m_depth = outer.d;
+ m_result.rank = 3;
+ m_result.c[0] = outer.c[0];
+ m_result.c[1] = outer.c[1];
+ m_result.c[2] = outer.c[2];
+ m_result.p[0] = btCross( outer.c[1]->w-projection,
+ outer.c[2]->w-projection).length();
+ m_result.p[1] = btCross( outer.c[2]->w-projection,
+ outer.c[0]->w-projection).length();
+ m_result.p[2] = btCross( outer.c[0]->w-projection,
+ outer.c[1]->w-projection).length();
+ const btScalar sum=m_result.p[0]+m_result.p[1]+m_result.p[2];
+ m_result.p[0] /= sum;
+ m_result.p[1] /= sum;
+ m_result.p[2] /= sum;
+ return(m_status);
+ }
+ }
+ /* Fallback */
+ m_status = eStatus::FallBack;
+ m_normal = -guess;
+ const btScalar nl=m_normal.length();
+ if(nl>0)
+ m_normal = m_normal/nl;
+ else
+ m_normal = btVector3(1,0,0);
+ m_depth = 0;
+ m_result.rank=1;
+ m_result.c[0]=simplex.c[0];
+ m_result.p[0]=1;
+ return(m_status);
+ }
+ bool getedgedist(sFace* face, sSV* a, sSV* b, btScalar& dist)
+ {
+ const btVector3 ba = b->w - a->w;
+ const btVector3 n_ab = btCross(ba, face->n); // Outward facing edge normal direction, on triangle plane
+ const btScalar a_dot_nab = btDot(a->w, n_ab); // Only care about the sign to determine inside/outside, so not normalization required
+
+ if(a_dot_nab < 0)
+ {
+ // Outside of edge a->b
+
+ const btScalar ba_l2 = ba.length2();
+ const btScalar a_dot_ba = btDot(a->w, ba);
+ const btScalar b_dot_ba = btDot(b->w, ba);
+
+ if(a_dot_ba > 0)
+ {
+ // Pick distance vertex a
+ dist = a->w.length();
+ }
+ else if(b_dot_ba < 0)
+ {
+ // Pick distance vertex b
+ dist = b->w.length();
+ }
+ else
+ {
+ // Pick distance to edge a->b
+ const btScalar a_dot_b = btDot(a->w, b->w);
+ dist = btSqrt(btMax((a->w.length2() * b->w.length2() - a_dot_b * a_dot_b) / ba_l2, (btScalar)0));
+ }
+
+ return true;
+ }
+
+ return false;
+ }
+ sFace* newface(sSV* a,sSV* b,sSV* c,bool forced)
+ {
+ if(m_stock.root)
+ {
+ sFace* face=m_stock.root;
+ remove(m_stock,face);
+ append(m_hull,face);
+ face->pass = 0;
+ face->c[0] = a;
+ face->c[1] = b;
+ face->c[2] = c;
+ face->n = btCross(b->w-a->w,c->w-a->w);
+ const btScalar l=face->n.length();
+ const bool v=l>EPA_ACCURACY;
+
+ if(v)
+ {
+ if(!(getedgedist(face, a, b, face->d) ||
+ getedgedist(face, b, c, face->d) ||
+ getedgedist(face, c, a, face->d)))
+ {
+ // Origin projects to the interior of the triangle
+ // Use distance to triangle plane
+ face->d = btDot(a->w, face->n) / l;
+ }
+
+ face->n /= l;
+ if(forced || (face->d >= -EPA_PLANE_EPS))
+ {
+ return face;
+ }
+ else
+ m_status=eStatus::NonConvex;
+ }
+ else
+ m_status=eStatus::Degenerated;
+
+ remove(m_hull, face);
+ append(m_stock, face);
+ return 0;
+
+ }
+ m_status = m_stock.root ? eStatus::OutOfVertices : eStatus::OutOfFaces;
+ return 0;
+ }
+ sFace* findbest()
+ {
+ sFace* minf=m_hull.root;
+ btScalar mind=minf->d*minf->d;
+ for(sFace* f=minf->l[1];f;f=f->l[1])
+ {
+ const btScalar sqd=f->d*f->d;
+ if(sqd<mind)
+ {
+ minf=f;
+ mind=sqd;
+ }
+ }
+ return(minf);
+ }
+ bool expand(U pass,sSV* w,sFace* f,U e,sHorizon& horizon)
+ {
+ static const U i1m3[]={1,2,0};
+ static const U i2m3[]={2,0,1};
+ if(f->pass!=pass)
+ {
+ const U e1=i1m3[e];
+ if((btDot(f->n,w->w)-f->d)<-EPA_PLANE_EPS)
+ {
+ sFace* nf=newface(f->c[e1],f->c[e],w,false);
+ if(nf)
+ {
+ bind(nf,0,f,e);
+ if(horizon.cf) bind(horizon.cf,1,nf,2); else horizon.ff=nf;
+ horizon.cf=nf;
+ ++horizon.nf;
+ return(true);
+ }
+ }
+ else
+ {
+ const U e2=i2m3[e];
+ f->pass = (U1)pass;
+ if( expand(pass,w,f->f[e1],f->e[e1],horizon)&&
+ expand(pass,w,f->f[e2],f->e[e2],horizon))
+ {
+ remove(m_hull,f);
+ append(m_stock,f);
+ return(true);
+ }
+ }
+ }
+ return(false);
+ }
+
+ };
+
+ //
+ static void Initialize( const btConvexShape* shape0,const btTransform& wtrs0,
+ const btConvexShape* shape1,const btTransform& wtrs1,
+ btGjkEpaSolver2::sResults& results,
+ tShape& shape,
+ bool withmargins)
+ {
+ /* Results */
+ results.witnesses[0] =
+ results.witnesses[1] = btVector3(0,0,0);
+ results.status = btGjkEpaSolver2::sResults::Separated;
+ /* Shape */
+ shape.m_shapes[0] = shape0;
+ shape.m_shapes[1] = shape1;
+ shape.m_toshape1 = wtrs1.getBasis().transposeTimes(wtrs0.getBasis());
+ shape.m_toshape0 = wtrs0.inverseTimes(wtrs1);
+ shape.EnableMargin(withmargins);
+ }
+
+}
+
+//
+// Api
+//
+
+using namespace gjkepa2_impl;
+
+//
+int btGjkEpaSolver2::StackSizeRequirement()
+{
+ return(sizeof(GJK)+sizeof(EPA));
+}
+
+//
+bool btGjkEpaSolver2::Distance( const btConvexShape* shape0,
+ const btTransform& wtrs0,
+ const btConvexShape* shape1,
+ const btTransform& wtrs1,
+ const btVector3& guess,
+ sResults& results)
+{
+ tShape shape;
+ Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,false);
+ GJK gjk;
+ GJK::eStatus::_ gjk_status=gjk.Evaluate(shape,guess);
+ if(gjk_status==GJK::eStatus::Valid)
+ {
+ btVector3 w0=btVector3(0,0,0);
+ btVector3 w1=btVector3(0,0,0);
+ for(U i=0;i<gjk.m_simplex->rank;++i)
+ {
+ const btScalar p=gjk.m_simplex->p[i];
+ w0+=shape.Support( gjk.m_simplex->c[i]->d,0)*p;
+ w1+=shape.Support(-gjk.m_simplex->c[i]->d,1)*p;
+ }
+ results.witnesses[0] = wtrs0*w0;
+ results.witnesses[1] = wtrs0*w1;
+ results.normal = w0-w1;
+ results.distance = results.normal.length();
+ results.normal /= results.distance>GJK_MIN_DISTANCE?results.distance:1;
+ return(true);
+ }
+ else
+ {
+ results.status = gjk_status==GJK::eStatus::Inside?
+ sResults::Penetrating :
+ sResults::GJK_Failed ;
+ return(false);
+ }
+}
+
+//
+bool btGjkEpaSolver2::Penetration( const btConvexShape* shape0,
+ const btTransform& wtrs0,
+ const btConvexShape* shape1,
+ const btTransform& wtrs1,
+ const btVector3& guess,
+ sResults& results,
+ bool usemargins)
+{
+ tShape shape;
+ Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,usemargins);
+ GJK gjk;
+ GJK::eStatus::_ gjk_status=gjk.Evaluate(shape,-guess);
+ switch(gjk_status)
+ {
+ case GJK::eStatus::Inside:
+ {
+ EPA epa;
+ EPA::eStatus::_ epa_status=epa.Evaluate(gjk,-guess);
+ if(epa_status!=EPA::eStatus::Failed)
+ {
+ btVector3 w0=btVector3(0,0,0);
+ for(U i=0;i<epa.m_result.rank;++i)
+ {
+ w0+=shape.Support(epa.m_result.c[i]->d,0)*epa.m_result.p[i];
+ }
+ results.status = sResults::Penetrating;
+ results.witnesses[0] = wtrs0*w0;
+ results.witnesses[1] = wtrs0*(w0-epa.m_normal*epa.m_depth);
+ results.normal = -epa.m_normal;
+ results.distance = -epa.m_depth;
+ return(true);
+ } else results.status=sResults::EPA_Failed;
+ }
+ break;
+ case GJK::eStatus::Failed:
+ results.status=sResults::GJK_Failed;
+ break;
+ default:
+ {
+ }
+ }
+ return(false);
+}
+
+#ifndef __SPU__
+//
+btScalar btGjkEpaSolver2::SignedDistance(const btVector3& position,
+ btScalar margin,
+ const btConvexShape* shape0,
+ const btTransform& wtrs0,
+ sResults& results)
+{
+ tShape shape;
+ btSphereShape shape1(margin);
+ btTransform wtrs1(btQuaternion(0,0,0,1),position);
+ Initialize(shape0,wtrs0,&shape1,wtrs1,results,shape,false);
+ GJK gjk;
+ GJK::eStatus::_ gjk_status=gjk.Evaluate(shape,btVector3(1,1,1));
+ if(gjk_status==GJK::eStatus::Valid)
+ {
+ btVector3 w0=btVector3(0,0,0);
+ btVector3 w1=btVector3(0,0,0);
+ for(U i=0;i<gjk.m_simplex->rank;++i)
+ {
+ const btScalar p=gjk.m_simplex->p[i];
+ w0+=shape.Support( gjk.m_simplex->c[i]->d,0)*p;
+ w1+=shape.Support(-gjk.m_simplex->c[i]->d,1)*p;
+ }
+ results.witnesses[0] = wtrs0*w0;
+ results.witnesses[1] = wtrs0*w1;
+ const btVector3 delta= results.witnesses[1]-
+ results.witnesses[0];
+ const btScalar margin= shape0->getMarginNonVirtual()+
+ shape1.getMarginNonVirtual();
+ const btScalar length= delta.length();
+ results.normal = delta/length;
+ results.witnesses[0] += results.normal*margin;
+ return(length-margin);
+ }
+ else
+ {
+ if(gjk_status==GJK::eStatus::Inside)
+ {
+ if(Penetration(shape0,wtrs0,&shape1,wtrs1,gjk.m_ray,results))
+ {
+ const btVector3 delta= results.witnesses[0]-
+ results.witnesses[1];
+ const btScalar length= delta.length();
+ if (length >= SIMD_EPSILON)
+ results.normal = delta/length;
+ return(-length);
+ }
+ }
+ }
+ return(SIMD_INFINITY);
+}
+
+//
+bool btGjkEpaSolver2::SignedDistance(const btConvexShape* shape0,
+ const btTransform& wtrs0,
+ const btConvexShape* shape1,
+ const btTransform& wtrs1,
+ const btVector3& guess,
+ sResults& results)
+{
+ if(!Distance(shape0,wtrs0,shape1,wtrs1,guess,results))
+ return(Penetration(shape0,wtrs0,shape1,wtrs1,guess,results,false));
+ else
+ return(true);
+}
+#endif //__SPU__
+
+/* Symbols cleanup */
+
+#undef GJK_MAX_ITERATIONS
+#undef GJK_ACCURACY
+#undef GJK_MIN_DISTANCE
+#undef GJK_DUPLICATED_EPS
+#undef GJK_SIMPLEX2_EPS
+#undef GJK_SIMPLEX3_EPS
+#undef GJK_SIMPLEX4_EPS
+
+#undef EPA_MAX_VERTICES
+#undef EPA_MAX_FACES
+#undef EPA_MAX_ITERATIONS
+#undef EPA_ACCURACY
+#undef EPA_FALLBACK
+#undef EPA_PLANE_EPS
+#undef EPA_INSIDE_EPS
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.h
new file mode 100644
index 0000000000..ac501d5ecf
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa2.h
@@ -0,0 +1,75 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2008 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+/*
+GJK-EPA collision solver by Nathanael Presson, 2008
+*/
+#ifndef BT_GJK_EPA2_H
+#define BT_GJK_EPA2_H
+
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+
+///btGjkEpaSolver contributed under zlib by Nathanael Presson
+struct btGjkEpaSolver2
+{
+struct sResults
+ {
+ enum eStatus
+ {
+ Separated, /* Shapes doesnt penetrate */
+ Penetrating, /* Shapes are penetrating */
+ GJK_Failed, /* GJK phase fail, no big issue, shapes are probably just 'touching' */
+ EPA_Failed /* EPA phase fail, bigger problem, need to save parameters, and debug */
+ } status;
+ btVector3 witnesses[2];
+ btVector3 normal;
+ btScalar distance;
+ };
+
+static int StackSizeRequirement();
+
+static bool Distance( const btConvexShape* shape0,const btTransform& wtrs0,
+ const btConvexShape* shape1,const btTransform& wtrs1,
+ const btVector3& guess,
+ sResults& results);
+
+static bool Penetration(const btConvexShape* shape0,const btTransform& wtrs0,
+ const btConvexShape* shape1,const btTransform& wtrs1,
+ const btVector3& guess,
+ sResults& results,
+ bool usemargins=true);
+#ifndef __SPU__
+static btScalar SignedDistance( const btVector3& position,
+ btScalar margin,
+ const btConvexShape* shape,
+ const btTransform& wtrs,
+ sResults& results);
+
+static bool SignedDistance( const btConvexShape* shape0,const btTransform& wtrs0,
+ const btConvexShape* shape1,const btTransform& wtrs1,
+ const btVector3& guess,
+ sResults& results);
+#endif //__SPU__
+
+};
+
+#endif //BT_GJK_EPA2_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h
new file mode 100644
index 0000000000..ce1f24bc50
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpa3.h
@@ -0,0 +1,1035 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2014 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+/*
+Initial GJK-EPA collision solver by Nathanael Presson, 2008
+Improvements and refactoring by Erwin Coumans, 2008-2014
+*/
+#ifndef BT_GJK_EPA3_H
+#define BT_GJK_EPA3_H
+
+#include "LinearMath/btTransform.h"
+#include "btGjkCollisionDescription.h"
+
+
+
+struct btGjkEpaSolver3
+{
+struct sResults
+ {
+ enum eStatus
+ {
+ Separated, /* Shapes doesnt penetrate */
+ Penetrating, /* Shapes are penetrating */
+ GJK_Failed, /* GJK phase fail, no big issue, shapes are probably just 'touching' */
+ EPA_Failed /* EPA phase fail, bigger problem, need to save parameters, and debug */
+ } status;
+ btVector3 witnesses[2];
+ btVector3 normal;
+ btScalar distance;
+ };
+
+
+};
+
+
+
+#if defined(DEBUG) || defined (_DEBUG)
+#include <stdio.h> //for debug printf
+#ifdef __SPU__
+#include <spu_printf.h>
+#define printf spu_printf
+#endif //__SPU__
+#endif
+
+
+
+ // Config
+
+ /* GJK */
+#define GJK_MAX_ITERATIONS 128
+#define GJK_ACCURARY ((btScalar)0.0001)
+#define GJK_MIN_DISTANCE ((btScalar)0.0001)
+#define GJK_DUPLICATED_EPS ((btScalar)0.0001)
+#define GJK_SIMPLEX2_EPS ((btScalar)0.0)
+#define GJK_SIMPLEX3_EPS ((btScalar)0.0)
+#define GJK_SIMPLEX4_EPS ((btScalar)0.0)
+
+ /* EPA */
+#define EPA_MAX_VERTICES 64
+#define EPA_MAX_FACES (EPA_MAX_VERTICES*2)
+#define EPA_MAX_ITERATIONS 255
+#define EPA_ACCURACY ((btScalar)0.0001)
+#define EPA_FALLBACK (10*EPA_ACCURACY)
+#define EPA_PLANE_EPS ((btScalar)0.00001)
+#define EPA_INSIDE_EPS ((btScalar)0.01)
+
+
+ // Shorthands
+ typedef unsigned int U;
+ typedef unsigned char U1;
+
+ // MinkowskiDiff
+ template <typename btConvexTemplate>
+ struct MinkowskiDiff
+ {
+ const btConvexTemplate* m_convexAPtr;
+ const btConvexTemplate* m_convexBPtr;
+
+ btMatrix3x3 m_toshape1;
+ btTransform m_toshape0;
+
+ bool m_enableMargin;
+
+
+ MinkowskiDiff(const btConvexTemplate& a, const btConvexTemplate& b)
+ :m_convexAPtr(&a),
+ m_convexBPtr(&b)
+ {
+ }
+
+ void EnableMargin(bool enable)
+ {
+ m_enableMargin = enable;
+ }
+ inline btVector3 Support0(const btVector3& d) const
+ {
+ return m_convexAPtr->getLocalSupportWithMargin(d);
+ }
+ inline btVector3 Support1(const btVector3& d) const
+ {
+ return m_toshape0*m_convexBPtr->getLocalSupportWithMargin(m_toshape1*d);
+ }
+
+
+ inline btVector3 Support(const btVector3& d) const
+ {
+ return(Support0(d)-Support1(-d));
+ }
+ btVector3 Support(const btVector3& d,U index) const
+ {
+ if(index)
+ return(Support1(d));
+ else
+ return(Support0(d));
+ }
+ };
+
+enum eGjkStatus
+{
+ eGjkValid,
+ eGjkInside,
+ eGjkFailed
+};
+
+ // GJK
+ template <typename btConvexTemplate>
+ struct GJK
+ {
+ /* Types */
+ struct sSV
+ {
+ btVector3 d,w;
+ };
+ struct sSimplex
+ {
+ sSV* c[4];
+ btScalar p[4];
+ U rank;
+ };
+
+ /* Fields */
+
+ MinkowskiDiff<btConvexTemplate> m_shape;
+ btVector3 m_ray;
+ btScalar m_distance;
+ sSimplex m_simplices[2];
+ sSV m_store[4];
+ sSV* m_free[4];
+ U m_nfree;
+ U m_current;
+ sSimplex* m_simplex;
+ eGjkStatus m_status;
+ /* Methods */
+
+ GJK(const btConvexTemplate& a, const btConvexTemplate& b)
+ :m_shape(a,b)
+ {
+ Initialize();
+ }
+ void Initialize()
+ {
+ m_ray = btVector3(0,0,0);
+ m_nfree = 0;
+ m_status = eGjkFailed;
+ m_current = 0;
+ m_distance = 0;
+ }
+ eGjkStatus Evaluate(const MinkowskiDiff<btConvexTemplate>& shapearg,const btVector3& guess)
+ {
+ U iterations=0;
+ btScalar sqdist=0;
+ btScalar alpha=0;
+ btVector3 lastw[4];
+ U clastw=0;
+ /* Initialize solver */
+ m_free[0] = &m_store[0];
+ m_free[1] = &m_store[1];
+ m_free[2] = &m_store[2];
+ m_free[3] = &m_store[3];
+ m_nfree = 4;
+ m_current = 0;
+ m_status = eGjkValid;
+ m_shape = shapearg;
+ m_distance = 0;
+ /* Initialize simplex */
+ m_simplices[0].rank = 0;
+ m_ray = guess;
+ const btScalar sqrl= m_ray.length2();
+ appendvertice(m_simplices[0],sqrl>0?-m_ray:btVector3(1,0,0));
+ m_simplices[0].p[0] = 1;
+ m_ray = m_simplices[0].c[0]->w;
+ sqdist = sqrl;
+ lastw[0] =
+ lastw[1] =
+ lastw[2] =
+ lastw[3] = m_ray;
+ /* Loop */
+ do {
+ const U next=1-m_current;
+ sSimplex& cs=m_simplices[m_current];
+ sSimplex& ns=m_simplices[next];
+ /* Check zero */
+ const btScalar rl=m_ray.length();
+ if(rl<GJK_MIN_DISTANCE)
+ {/* Touching or inside */
+ m_status=eGjkInside;
+ break;
+ }
+ /* Append new vertice in -'v' direction */
+ appendvertice(cs,-m_ray);
+ const btVector3& w=cs.c[cs.rank-1]->w;
+ bool found=false;
+ for(U i=0;i<4;++i)
+ {
+ if((w-lastw[i]).length2()<GJK_DUPLICATED_EPS)
+ { found=true;break; }
+ }
+ if(found)
+ {/* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ else
+ {/* Update lastw */
+ lastw[clastw=(clastw+1)&3]=w;
+ }
+ /* Check for termination */
+ const btScalar omega=btDot(m_ray,w)/rl;
+ alpha=btMax(omega,alpha);
+ if(((rl-alpha)-(GJK_ACCURARY*rl))<=0)
+ {/* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ /* Reduce simplex */
+ btScalar weights[4];
+ U mask=0;
+ switch(cs.rank)
+ {
+ case 2: sqdist=projectorigin( cs.c[0]->w,
+ cs.c[1]->w,
+ weights,mask);break;
+ case 3: sqdist=projectorigin( cs.c[0]->w,
+ cs.c[1]->w,
+ cs.c[2]->w,
+ weights,mask);break;
+ case 4: sqdist=projectorigin( cs.c[0]->w,
+ cs.c[1]->w,
+ cs.c[2]->w,
+ cs.c[3]->w,
+ weights,mask);break;
+ }
+ if(sqdist>=0)
+ {/* Valid */
+ ns.rank = 0;
+ m_ray = btVector3(0,0,0);
+ m_current = next;
+ for(U i=0,ni=cs.rank;i<ni;++i)
+ {
+ if(mask&(1<<i))
+ {
+ ns.c[ns.rank] = cs.c[i];
+ ns.p[ns.rank++] = weights[i];
+ m_ray += cs.c[i]->w*weights[i];
+ }
+ else
+ {
+ m_free[m_nfree++] = cs.c[i];
+ }
+ }
+ if(mask==15) m_status=eGjkInside;
+ }
+ else
+ {/* Return old simplex */
+ removevertice(m_simplices[m_current]);
+ break;
+ }
+ m_status=((++iterations)<GJK_MAX_ITERATIONS)?m_status:eGjkFailed;
+ } while(m_status==eGjkValid);
+ m_simplex=&m_simplices[m_current];
+ switch(m_status)
+ {
+ case eGjkValid: m_distance=m_ray.length();break;
+ case eGjkInside: m_distance=0;break;
+ default:
+ {
+ }
+ }
+ return(m_status);
+ }
+ bool EncloseOrigin()
+ {
+ switch(m_simplex->rank)
+ {
+ case 1:
+ {
+ for(U i=0;i<3;++i)
+ {
+ btVector3 axis=btVector3(0,0,0);
+ axis[i]=1;
+ appendvertice(*m_simplex, axis);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex,-axis);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ }
+ }
+ break;
+ case 2:
+ {
+ const btVector3 d=m_simplex->c[1]->w-m_simplex->c[0]->w;
+ for(U i=0;i<3;++i)
+ {
+ btVector3 axis=btVector3(0,0,0);
+ axis[i]=1;
+ const btVector3 p=btCross(d,axis);
+ if(p.length2()>0)
+ {
+ appendvertice(*m_simplex, p);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex,-p);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ }
+ }
+ }
+ break;
+ case 3:
+ {
+ const btVector3 n=btCross(m_simplex->c[1]->w-m_simplex->c[0]->w,
+ m_simplex->c[2]->w-m_simplex->c[0]->w);
+ if(n.length2()>0)
+ {
+ appendvertice(*m_simplex,n);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ appendvertice(*m_simplex,-n);
+ if(EncloseOrigin()) return(true);
+ removevertice(*m_simplex);
+ }
+ }
+ break;
+ case 4:
+ {
+ if(btFabs(det( m_simplex->c[0]->w-m_simplex->c[3]->w,
+ m_simplex->c[1]->w-m_simplex->c[3]->w,
+ m_simplex->c[2]->w-m_simplex->c[3]->w))>0)
+ return(true);
+ }
+ break;
+ }
+ return(false);
+ }
+ /* Internals */
+ void getsupport(const btVector3& d,sSV& sv) const
+ {
+ sv.d = d/d.length();
+ sv.w = m_shape.Support(sv.d);
+ }
+ void removevertice(sSimplex& simplex)
+ {
+ m_free[m_nfree++]=simplex.c[--simplex.rank];
+ }
+ void appendvertice(sSimplex& simplex,const btVector3& v)
+ {
+ simplex.p[simplex.rank]=0;
+ simplex.c[simplex.rank]=m_free[--m_nfree];
+ getsupport(v,*simplex.c[simplex.rank++]);
+ }
+ static btScalar det(const btVector3& a,const btVector3& b,const btVector3& c)
+ {
+ return( a.y()*b.z()*c.x()+a.z()*b.x()*c.y()-
+ a.x()*b.z()*c.y()-a.y()*b.x()*c.z()+
+ a.x()*b.y()*c.z()-a.z()*b.y()*c.x());
+ }
+ static btScalar projectorigin( const btVector3& a,
+ const btVector3& b,
+ btScalar* w,U& m)
+ {
+ const btVector3 d=b-a;
+ const btScalar l=d.length2();
+ if(l>GJK_SIMPLEX2_EPS)
+ {
+ const btScalar t(l>0?-btDot(a,d)/l:0);
+ if(t>=1) { w[0]=0;w[1]=1;m=2;return(b.length2()); }
+ else if(t<=0) { w[0]=1;w[1]=0;m=1;return(a.length2()); }
+ else { w[0]=1-(w[1]=t);m=3;return((a+d*t).length2()); }
+ }
+ return(-1);
+ }
+ static btScalar projectorigin( const btVector3& a,
+ const btVector3& b,
+ const btVector3& c,
+ btScalar* w,U& m)
+ {
+ static const U imd3[]={1,2,0};
+ const btVector3* vt[]={&a,&b,&c};
+ const btVector3 dl[]={a-b,b-c,c-a};
+ const btVector3 n=btCross(dl[0],dl[1]);
+ const btScalar l=n.length2();
+ if(l>GJK_SIMPLEX3_EPS)
+ {
+ btScalar mindist=-1;
+ btScalar subw[2]={0.f,0.f};
+ U subm(0);
+ for(U i=0;i<3;++i)
+ {
+ if(btDot(*vt[i],btCross(dl[i],n))>0)
+ {
+ const U j=imd3[i];
+ const btScalar subd(projectorigin(*vt[i],*vt[j],subw,subm));
+ if((mindist<0)||(subd<mindist))
+ {
+ mindist = subd;
+ m = static_cast<U>(((subm&1)?1<<i:0)+((subm&2)?1<<j:0));
+ w[i] = subw[0];
+ w[j] = subw[1];
+ w[imd3[j]] = 0;
+ }
+ }
+ }
+ if(mindist<0)
+ {
+ const btScalar d=btDot(a,n);
+ const btScalar s=btSqrt(l);
+ const btVector3 p=n*(d/l);
+ mindist = p.length2();
+ m = 7;
+ w[0] = (btCross(dl[1],b-p)).length()/s;
+ w[1] = (btCross(dl[2],c-p)).length()/s;
+ w[2] = 1-(w[0]+w[1]);
+ }
+ return(mindist);
+ }
+ return(-1);
+ }
+ static btScalar projectorigin( const btVector3& a,
+ const btVector3& b,
+ const btVector3& c,
+ const btVector3& d,
+ btScalar* w,U& m)
+ {
+ static const U imd3[]={1,2,0};
+ const btVector3* vt[]={&a,&b,&c,&d};
+ const btVector3 dl[]={a-d,b-d,c-d};
+ const btScalar vl=det(dl[0],dl[1],dl[2]);
+ const bool ng=(vl*btDot(a,btCross(b-c,a-b)))<=0;
+ if(ng&&(btFabs(vl)>GJK_SIMPLEX4_EPS))
+ {
+ btScalar mindist=-1;
+ btScalar subw[3]={0.f,0.f,0.f};
+ U subm(0);
+ for(U i=0;i<3;++i)
+ {
+ const U j=imd3[i];
+ const btScalar s=vl*btDot(d,btCross(dl[i],dl[j]));
+ if(s>0)
+ {
+ const btScalar subd=projectorigin(*vt[i],*vt[j],d,subw,subm);
+ if((mindist<0)||(subd<mindist))
+ {
+ mindist = subd;
+ m = static_cast<U>((subm&1?1<<i:0)+
+ (subm&2?1<<j:0)+
+ (subm&4?8:0));
+ w[i] = subw[0];
+ w[j] = subw[1];
+ w[imd3[j]] = 0;
+ w[3] = subw[2];
+ }
+ }
+ }
+ if(mindist<0)
+ {
+ mindist = 0;
+ m = 15;
+ w[0] = det(c,b,d)/vl;
+ w[1] = det(a,c,d)/vl;
+ w[2] = det(b,a,d)/vl;
+ w[3] = 1-(w[0]+w[1]+w[2]);
+ }
+ return(mindist);
+ }
+ return(-1);
+ }
+ };
+
+
+enum eEpaStatus
+{
+ eEpaValid,
+ eEpaTouching,
+ eEpaDegenerated,
+ eEpaNonConvex,
+ eEpaInvalidHull,
+ eEpaOutOfFaces,
+ eEpaOutOfVertices,
+ eEpaAccuraryReached,
+ eEpaFallBack,
+ eEpaFailed
+};
+
+
+ // EPA
+template <typename btConvexTemplate>
+ struct EPA
+ {
+ /* Types */
+
+ struct sFace
+ {
+ btVector3 n;
+ btScalar d;
+ typename GJK<btConvexTemplate>::sSV* c[3];
+ sFace* f[3];
+ sFace* l[2];
+ U1 e[3];
+ U1 pass;
+ };
+ struct sList
+ {
+ sFace* root;
+ U count;
+ sList() : root(0),count(0) {}
+ };
+ struct sHorizon
+ {
+ sFace* cf;
+ sFace* ff;
+ U nf;
+ sHorizon() : cf(0),ff(0),nf(0) {}
+ };
+
+ /* Fields */
+ eEpaStatus m_status;
+ typename GJK<btConvexTemplate>::sSimplex m_result;
+ btVector3 m_normal;
+ btScalar m_depth;
+ typename GJK<btConvexTemplate>::sSV m_sv_store[EPA_MAX_VERTICES];
+ sFace m_fc_store[EPA_MAX_FACES];
+ U m_nextsv;
+ sList m_hull;
+ sList m_stock;
+ /* Methods */
+ EPA()
+ {
+ Initialize();
+ }
+
+
+ static inline void bind(sFace* fa,U ea,sFace* fb,U eb)
+ {
+ fa->e[ea]=(U1)eb;fa->f[ea]=fb;
+ fb->e[eb]=(U1)ea;fb->f[eb]=fa;
+ }
+ static inline void append(sList& list,sFace* face)
+ {
+ face->l[0] = 0;
+ face->l[1] = list.root;
+ if(list.root) list.root->l[0]=face;
+ list.root = face;
+ ++list.count;
+ }
+ static inline void remove(sList& list,sFace* face)
+ {
+ if(face->l[1]) face->l[1]->l[0]=face->l[0];
+ if(face->l[0]) face->l[0]->l[1]=face->l[1];
+ if(face==list.root) list.root=face->l[1];
+ --list.count;
+ }
+
+
+ void Initialize()
+ {
+ m_status = eEpaFailed;
+ m_normal = btVector3(0,0,0);
+ m_depth = 0;
+ m_nextsv = 0;
+ for(U i=0;i<EPA_MAX_FACES;++i)
+ {
+ append(m_stock,&m_fc_store[EPA_MAX_FACES-i-1]);
+ }
+ }
+ eEpaStatus Evaluate(GJK<btConvexTemplate>& gjk,const btVector3& guess)
+ {
+ typename GJK<btConvexTemplate>::sSimplex& simplex=*gjk.m_simplex;
+ if((simplex.rank>1)&&gjk.EncloseOrigin())
+ {
+
+ /* Clean up */
+ while(m_hull.root)
+ {
+ sFace* f = m_hull.root;
+ remove(m_hull,f);
+ append(m_stock,f);
+ }
+ m_status = eEpaValid;
+ m_nextsv = 0;
+ /* Orient simplex */
+ if(gjk.det( simplex.c[0]->w-simplex.c[3]->w,
+ simplex.c[1]->w-simplex.c[3]->w,
+ simplex.c[2]->w-simplex.c[3]->w)<0)
+ {
+ btSwap(simplex.c[0],simplex.c[1]);
+ btSwap(simplex.p[0],simplex.p[1]);
+ }
+ /* Build initial hull */
+ sFace* tetra[]={newface(simplex.c[0],simplex.c[1],simplex.c[2],true),
+ newface(simplex.c[1],simplex.c[0],simplex.c[3],true),
+ newface(simplex.c[2],simplex.c[1],simplex.c[3],true),
+ newface(simplex.c[0],simplex.c[2],simplex.c[3],true)};
+ if(m_hull.count==4)
+ {
+ sFace* best=findbest();
+ sFace outer=*best;
+ U pass=0;
+ U iterations=0;
+ bind(tetra[0],0,tetra[1],0);
+ bind(tetra[0],1,tetra[2],0);
+ bind(tetra[0],2,tetra[3],0);
+ bind(tetra[1],1,tetra[3],2);
+ bind(tetra[1],2,tetra[2],1);
+ bind(tetra[2],2,tetra[3],1);
+ m_status=eEpaValid;
+ for(;iterations<EPA_MAX_ITERATIONS;++iterations)
+ {
+ if(m_nextsv<EPA_MAX_VERTICES)
+ {
+ sHorizon horizon;
+ typename GJK<btConvexTemplate>::sSV* w=&m_sv_store[m_nextsv++];
+ bool valid=true;
+ best->pass = (U1)(++pass);
+ gjk.getsupport(best->n,*w);
+ const btScalar wdist=btDot(best->n,w->w)-best->d;
+ if(wdist>EPA_ACCURACY)
+ {
+ for(U j=0;(j<3)&&valid;++j)
+ {
+ valid&=expand( pass,w,
+ best->f[j],best->e[j],
+ horizon);
+ }
+ if(valid&&(horizon.nf>=3))
+ {
+ bind(horizon.cf,1,horizon.ff,2);
+ remove(m_hull,best);
+ append(m_stock,best);
+ best=findbest();
+ outer=*best;
+ } else { m_status=eEpaInvalidHull;break; }
+ } else { m_status=eEpaAccuraryReached;break; }
+ } else { m_status=eEpaOutOfVertices;break; }
+ }
+ const btVector3 projection=outer.n*outer.d;
+ m_normal = outer.n;
+ m_depth = outer.d;
+ m_result.rank = 3;
+ m_result.c[0] = outer.c[0];
+ m_result.c[1] = outer.c[1];
+ m_result.c[2] = outer.c[2];
+ m_result.p[0] = btCross( outer.c[1]->w-projection,
+ outer.c[2]->w-projection).length();
+ m_result.p[1] = btCross( outer.c[2]->w-projection,
+ outer.c[0]->w-projection).length();
+ m_result.p[2] = btCross( outer.c[0]->w-projection,
+ outer.c[1]->w-projection).length();
+ const btScalar sum=m_result.p[0]+m_result.p[1]+m_result.p[2];
+ m_result.p[0] /= sum;
+ m_result.p[1] /= sum;
+ m_result.p[2] /= sum;
+ return(m_status);
+ }
+ }
+ /* Fallback */
+ m_status = eEpaFallBack;
+ m_normal = -guess;
+ const btScalar nl=m_normal.length();
+ if(nl>0)
+ m_normal = m_normal/nl;
+ else
+ m_normal = btVector3(1,0,0);
+ m_depth = 0;
+ m_result.rank=1;
+ m_result.c[0]=simplex.c[0];
+ m_result.p[0]=1;
+ return(m_status);
+ }
+ bool getedgedist(sFace* face, typename GJK<btConvexTemplate>::sSV* a, typename GJK<btConvexTemplate>::sSV* b, btScalar& dist)
+ {
+ const btVector3 ba = b->w - a->w;
+ const btVector3 n_ab = btCross(ba, face->n); // Outward facing edge normal direction, on triangle plane
+ const btScalar a_dot_nab = btDot(a->w, n_ab); // Only care about the sign to determine inside/outside, so not normalization required
+
+ if(a_dot_nab < 0)
+ {
+ // Outside of edge a->b
+
+ const btScalar ba_l2 = ba.length2();
+ const btScalar a_dot_ba = btDot(a->w, ba);
+ const btScalar b_dot_ba = btDot(b->w, ba);
+
+ if(a_dot_ba > 0)
+ {
+ // Pick distance vertex a
+ dist = a->w.length();
+ }
+ else if(b_dot_ba < 0)
+ {
+ // Pick distance vertex b
+ dist = b->w.length();
+ }
+ else
+ {
+ // Pick distance to edge a->b
+ const btScalar a_dot_b = btDot(a->w, b->w);
+ dist = btSqrt(btMax((a->w.length2() * b->w.length2() - a_dot_b * a_dot_b) / ba_l2, (btScalar)0));
+ }
+
+ return true;
+ }
+
+ return false;
+ }
+ sFace* newface(typename GJK<btConvexTemplate>::sSV* a,typename GJK<btConvexTemplate>::sSV* b,typename GJK<btConvexTemplate>::sSV* c,bool forced)
+ {
+ if(m_stock.root)
+ {
+ sFace* face=m_stock.root;
+ remove(m_stock,face);
+ append(m_hull,face);
+ face->pass = 0;
+ face->c[0] = a;
+ face->c[1] = b;
+ face->c[2] = c;
+ face->n = btCross(b->w-a->w,c->w-a->w);
+ const btScalar l=face->n.length();
+ const bool v=l>EPA_ACCURACY;
+
+ if(v)
+ {
+ if(!(getedgedist(face, a, b, face->d) ||
+ getedgedist(face, b, c, face->d) ||
+ getedgedist(face, c, a, face->d)))
+ {
+ // Origin projects to the interior of the triangle
+ // Use distance to triangle plane
+ face->d = btDot(a->w, face->n) / l;
+ }
+
+ face->n /= l;
+ if(forced || (face->d >= -EPA_PLANE_EPS))
+ {
+ return face;
+ }
+ else
+ m_status=eEpaNonConvex;
+ }
+ else
+ m_status=eEpaDegenerated;
+
+ remove(m_hull, face);
+ append(m_stock, face);
+ return 0;
+
+ }
+ m_status = m_stock.root ? eEpaOutOfVertices : eEpaOutOfFaces;
+ return 0;
+ }
+ sFace* findbest()
+ {
+ sFace* minf=m_hull.root;
+ btScalar mind=minf->d*minf->d;
+ for(sFace* f=minf->l[1];f;f=f->l[1])
+ {
+ const btScalar sqd=f->d*f->d;
+ if(sqd<mind)
+ {
+ minf=f;
+ mind=sqd;
+ }
+ }
+ return(minf);
+ }
+ bool expand(U pass,typename GJK<btConvexTemplate>::sSV* w,sFace* f,U e,sHorizon& horizon)
+ {
+ static const U i1m3[]={1,2,0};
+ static const U i2m3[]={2,0,1};
+ if(f->pass!=pass)
+ {
+ const U e1=i1m3[e];
+ if((btDot(f->n,w->w)-f->d)<-EPA_PLANE_EPS)
+ {
+ sFace* nf=newface(f->c[e1],f->c[e],w,false);
+ if(nf)
+ {
+ bind(nf,0,f,e);
+ if(horizon.cf) bind(horizon.cf,1,nf,2); else horizon.ff=nf;
+ horizon.cf=nf;
+ ++horizon.nf;
+ return(true);
+ }
+ }
+ else
+ {
+ const U e2=i2m3[e];
+ f->pass = (U1)pass;
+ if( expand(pass,w,f->f[e1],f->e[e1],horizon)&&
+ expand(pass,w,f->f[e2],f->e[e2],horizon))
+ {
+ remove(m_hull,f);
+ append(m_stock,f);
+ return(true);
+ }
+ }
+ }
+ return(false);
+ }
+
+ };
+
+ template <typename btConvexTemplate>
+ static void Initialize( const btConvexTemplate& a, const btConvexTemplate& b,
+ btGjkEpaSolver3::sResults& results,
+ MinkowskiDiff<btConvexTemplate>& shape)
+ {
+ /* Results */
+ results.witnesses[0] =
+ results.witnesses[1] = btVector3(0,0,0);
+ results.status = btGjkEpaSolver3::sResults::Separated;
+ /* Shape */
+
+ shape.m_toshape1 = b.getWorldTransform().getBasis().transposeTimes(a.getWorldTransform().getBasis());
+ shape.m_toshape0 = a.getWorldTransform().inverseTimes(b.getWorldTransform());
+
+ }
+
+
+//
+// Api
+//
+
+
+
+//
+template <typename btConvexTemplate>
+bool btGjkEpaSolver3_Distance(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btVector3& guess,
+ btGjkEpaSolver3::sResults& results)
+{
+ MinkowskiDiff<btConvexTemplate> shape(a,b);
+ Initialize(a,b,results,shape);
+ GJK<btConvexTemplate> gjk(a,b);
+ eGjkStatus gjk_status=gjk.Evaluate(shape,guess);
+ if(gjk_status==eGjkValid)
+ {
+ btVector3 w0=btVector3(0,0,0);
+ btVector3 w1=btVector3(0,0,0);
+ for(U i=0;i<gjk.m_simplex->rank;++i)
+ {
+ const btScalar p=gjk.m_simplex->p[i];
+ w0+=shape.Support( gjk.m_simplex->c[i]->d,0)*p;
+ w1+=shape.Support(-gjk.m_simplex->c[i]->d,1)*p;
+ }
+ results.witnesses[0] = a.getWorldTransform()*w0;
+ results.witnesses[1] = a.getWorldTransform()*w1;
+ results.normal = w0-w1;
+ results.distance = results.normal.length();
+ results.normal /= results.distance>GJK_MIN_DISTANCE?results.distance:1;
+ return(true);
+ }
+ else
+ {
+ results.status = gjk_status==eGjkInside?
+ btGjkEpaSolver3::sResults::Penetrating :
+ btGjkEpaSolver3::sResults::GJK_Failed ;
+ return(false);
+ }
+}
+
+
+template <typename btConvexTemplate>
+bool btGjkEpaSolver3_Penetration(const btConvexTemplate& a,
+ const btConvexTemplate& b,
+ const btVector3& guess,
+ btGjkEpaSolver3::sResults& results)
+{
+ MinkowskiDiff<btConvexTemplate> shape(a,b);
+ Initialize(a,b,results,shape);
+ GJK<btConvexTemplate> gjk(a,b);
+ eGjkStatus gjk_status=gjk.Evaluate(shape,-guess);
+ switch(gjk_status)
+ {
+ case eGjkInside:
+ {
+ EPA<btConvexTemplate> epa;
+ eEpaStatus epa_status=epa.Evaluate(gjk,-guess);
+ if(epa_status!=eEpaFailed)
+ {
+ btVector3 w0=btVector3(0,0,0);
+ for(U i=0;i<epa.m_result.rank;++i)
+ {
+ w0+=shape.Support(epa.m_result.c[i]->d,0)*epa.m_result.p[i];
+ }
+ results.status = btGjkEpaSolver3::sResults::Penetrating;
+ results.witnesses[0] = a.getWorldTransform()*w0;
+ results.witnesses[1] = a.getWorldTransform()*(w0-epa.m_normal*epa.m_depth);
+ results.normal = -epa.m_normal;
+ results.distance = -epa.m_depth;
+ return(true);
+ } else results.status=btGjkEpaSolver3::sResults::EPA_Failed;
+ }
+ break;
+ case eGjkFailed:
+ results.status=btGjkEpaSolver3::sResults::GJK_Failed;
+ break;
+ default:
+ {
+ }
+ }
+ return(false);
+}
+
+#if 0
+int btComputeGjkEpaPenetration2(const btCollisionDescription& colDesc, btDistanceInfo* distInfo)
+{
+ btGjkEpaSolver3::sResults results;
+ btVector3 guess = colDesc.m_firstDir;
+
+ bool res = btGjkEpaSolver3::Penetration(colDesc.m_objA,colDesc.m_objB,
+ colDesc.m_transformA,colDesc.m_transformB,
+ colDesc.m_localSupportFuncA,colDesc.m_localSupportFuncB,
+ guess,
+ results);
+ if (res)
+ {
+ if ((results.status==btGjkEpaSolver3::sResults::Penetrating) || results.status==GJK::eStatus::Inside)
+ {
+ //normal could be 'swapped'
+
+ distInfo->m_distance = results.distance;
+ distInfo->m_normalBtoA = results.normal;
+ btVector3 tmpNormalInB = results.witnesses[1]-results.witnesses[0];
+ btScalar lenSqr = tmpNormalInB.length2();
+ if (lenSqr <= (SIMD_EPSILON*SIMD_EPSILON))
+ {
+ tmpNormalInB = results.normal;
+ lenSqr = results.normal.length2();
+ }
+
+ if (lenSqr > (SIMD_EPSILON*SIMD_EPSILON))
+ {
+ tmpNormalInB /= btSqrt(lenSqr);
+ btScalar distance2 = -(results.witnesses[0]-results.witnesses[1]).length();
+ //only replace valid penetrations when the result is deeper (check)
+ //if ((distance2 < results.distance))
+ {
+ distInfo->m_distance = distance2;
+ distInfo->m_pointOnA= results.witnesses[0];
+ distInfo->m_pointOnB= results.witnesses[1];
+ distInfo->m_normalBtoA= tmpNormalInB;
+ return 0;
+ }
+ }
+ }
+
+ }
+
+ return -1;
+}
+#endif
+
+template <typename btConvexTemplate, typename btDistanceInfoTemplate>
+int btComputeGjkDistance(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btGjkCollisionDescription& colDesc, btDistanceInfoTemplate* distInfo)
+{
+ btGjkEpaSolver3::sResults results;
+ btVector3 guess = colDesc.m_firstDir;
+
+ bool isSeparated = btGjkEpaSolver3_Distance( a,b,
+ guess,
+ results);
+ if (isSeparated)
+ {
+ distInfo->m_distance = results.distance;
+ distInfo->m_pointOnA= results.witnesses[0];
+ distInfo->m_pointOnB= results.witnesses[1];
+ distInfo->m_normalBtoA= results.normal;
+ return 0;
+ }
+
+ return -1;
+}
+
+/* Symbols cleanup */
+
+#undef GJK_MAX_ITERATIONS
+#undef GJK_ACCURARY
+#undef GJK_MIN_DISTANCE
+#undef GJK_DUPLICATED_EPS
+#undef GJK_SIMPLEX2_EPS
+#undef GJK_SIMPLEX3_EPS
+#undef GJK_SIMPLEX4_EPS
+
+#undef EPA_MAX_VERTICES
+#undef EPA_MAX_FACES
+#undef EPA_MAX_ITERATIONS
+#undef EPA_ACCURACY
+#undef EPA_FALLBACK
+#undef EPA_PLANE_EPS
+#undef EPA_INSIDE_EPS
+
+
+
+#endif //BT_GJK_EPA3_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.cpp
new file mode 100644
index 0000000000..572ec36f56
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.cpp
@@ -0,0 +1,66 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+EPA Copyright (c) Ricardo Padrela 2006
+
+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.
+*/
+
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+#include "btGjkEpaPenetrationDepthSolver.h"
+
+
+#include "BulletCollision/NarrowPhaseCollision/btGjkEpa2.h"
+
+bool btGjkEpaPenetrationDepthSolver::calcPenDepth( btSimplexSolverInterface& simplexSolver,
+ const btConvexShape* pConvexA, const btConvexShape* pConvexB,
+ const btTransform& transformA, const btTransform& transformB,
+ btVector3& v, btVector3& wWitnessOnA, btVector3& wWitnessOnB,
+ class btIDebugDraw* debugDraw)
+{
+
+ (void)debugDraw;
+ (void)v;
+ (void)simplexSolver;
+
+// const btScalar radialmargin(btScalar(0.));
+
+ btVector3 guessVector(transformB.getOrigin()-transformA.getOrigin());
+ btGjkEpaSolver2::sResults results;
+
+
+ if(btGjkEpaSolver2::Penetration(pConvexA,transformA,
+ pConvexB,transformB,
+ guessVector,results))
+
+ {
+ // debugDraw->drawLine(results.witnesses[1],results.witnesses[1]+results.normal,btVector3(255,0,0));
+ //resultOut->addContactPoint(results.normal,results.witnesses[1],-results.depth);
+ wWitnessOnA = results.witnesses[0];
+ wWitnessOnB = results.witnesses[1];
+ v = results.normal;
+ return true;
+ } else
+ {
+ if(btGjkEpaSolver2::Distance(pConvexA,transformA,pConvexB,transformB,guessVector,results))
+ {
+ wWitnessOnA = results.witnesses[0];
+ wWitnessOnB = results.witnesses[1];
+ v = results.normal;
+ return false;
+ }
+ }
+
+ return false;
+}
+
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.h
new file mode 100644
index 0000000000..1ed6340af3
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.h
@@ -0,0 +1,43 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+EPA Copyright (c) Ricardo Padrela 2006
+
+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 BT_GJP_EPA_PENETRATION_DEPTH_H
+#define BT_GJP_EPA_PENETRATION_DEPTH_H
+
+#include "btConvexPenetrationDepthSolver.h"
+
+///EpaPenetrationDepthSolver uses the Expanding Polytope Algorithm to
+///calculate the penetration depth between two convex shapes.
+class btGjkEpaPenetrationDepthSolver : public btConvexPenetrationDepthSolver
+{
+ public :
+
+ btGjkEpaPenetrationDepthSolver()
+ {
+ }
+
+ bool calcPenDepth( btSimplexSolverInterface& simplexSolver,
+ const btConvexShape* pConvexA, const btConvexShape* pConvexB,
+ const btTransform& transformA, const btTransform& transformB,
+ btVector3& v, btVector3& wWitnessOnA, btVector3& wWitnessOnB,
+ class btIDebugDraw* debugDraw);
+
+ private :
+
+};
+
+#endif // BT_GJP_EPA_PENETRATION_DEPTH_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.cpp
new file mode 100644
index 0000000000..257b026d9b
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.cpp
@@ -0,0 +1,467 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+#include "btGjkPairDetector.h"
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+#include "BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h"
+#include "BulletCollision/NarrowPhaseCollision/btConvexPenetrationDepthSolver.h"
+
+
+
+#if defined(DEBUG) || defined (_DEBUG)
+//#define TEST_NON_VIRTUAL 1
+#include <stdio.h> //for debug printf
+#ifdef __SPU__
+#include <spu_printf.h>
+#define printf spu_printf
+#endif //__SPU__
+#endif
+
+//must be above the machine epsilon
+#ifdef BT_USE_DOUBLE_PRECISION
+ #define REL_ERROR2 btScalar(1.0e-12)
+ btScalar gGjkEpaPenetrationTolerance = 1e-7;
+#else
+ #define REL_ERROR2 btScalar(1.0e-6)
+ btScalar gGjkEpaPenetrationTolerance = 0.001;
+#endif
+
+//temp globals, to improve GJK/EPA/penetration calculations
+int gNumDeepPenetrationChecks = 0;
+int gNumGjkChecks = 0;
+
+
+btGjkPairDetector::btGjkPairDetector(const btConvexShape* objectA,const btConvexShape* objectB,btSimplexSolverInterface* simplexSolver,btConvexPenetrationDepthSolver* penetrationDepthSolver)
+:m_cachedSeparatingAxis(btScalar(0.),btScalar(1.),btScalar(0.)),
+m_penetrationDepthSolver(penetrationDepthSolver),
+m_simplexSolver(simplexSolver),
+m_minkowskiA(objectA),
+m_minkowskiB(objectB),
+m_shapeTypeA(objectA->getShapeType()),
+m_shapeTypeB(objectB->getShapeType()),
+m_marginA(objectA->getMargin()),
+m_marginB(objectB->getMargin()),
+m_ignoreMargin(false),
+m_lastUsedMethod(-1),
+m_catchDegeneracies(1),
+m_fixContactNormalDirection(1)
+{
+}
+btGjkPairDetector::btGjkPairDetector(const btConvexShape* objectA,const btConvexShape* objectB,int shapeTypeA,int shapeTypeB,btScalar marginA, btScalar marginB, btSimplexSolverInterface* simplexSolver,btConvexPenetrationDepthSolver* penetrationDepthSolver)
+:m_cachedSeparatingAxis(btScalar(0.),btScalar(1.),btScalar(0.)),
+m_penetrationDepthSolver(penetrationDepthSolver),
+m_simplexSolver(simplexSolver),
+m_minkowskiA(objectA),
+m_minkowskiB(objectB),
+m_shapeTypeA(shapeTypeA),
+m_shapeTypeB(shapeTypeB),
+m_marginA(marginA),
+m_marginB(marginB),
+m_ignoreMargin(false),
+m_lastUsedMethod(-1),
+m_catchDegeneracies(1),
+m_fixContactNormalDirection(1)
+{
+}
+
+void btGjkPairDetector::getClosestPoints(const ClosestPointInput& input,Result& output,class btIDebugDraw* debugDraw,bool swapResults)
+{
+ (void)swapResults;
+
+ getClosestPointsNonVirtual(input,output,debugDraw);
+}
+
+#ifdef __SPU__
+void btGjkPairDetector::getClosestPointsNonVirtual(const ClosestPointInput& input,Result& output,class btIDebugDraw* debugDraw)
+#else
+void btGjkPairDetector::getClosestPointsNonVirtual(const ClosestPointInput& input, Result& output, class btIDebugDraw* debugDraw)
+#endif
+{
+ m_cachedSeparatingDistance = 0.f;
+
+ btScalar distance=btScalar(0.);
+ btVector3 normalInB(btScalar(0.),btScalar(0.),btScalar(0.));
+
+ btVector3 pointOnA,pointOnB;
+ btTransform localTransA = input.m_transformA;
+ btTransform localTransB = input.m_transformB;
+ btVector3 positionOffset=(localTransA.getOrigin() + localTransB.getOrigin()) * btScalar(0.5);
+ localTransA.getOrigin() -= positionOffset;
+ localTransB.getOrigin() -= positionOffset;
+
+ bool check2d = m_minkowskiA->isConvex2d() && m_minkowskiB->isConvex2d();
+
+ btScalar marginA = m_marginA;
+ btScalar marginB = m_marginB;
+
+ gNumGjkChecks++;
+
+ //for CCD we don't use margins
+ if (m_ignoreMargin)
+ {
+ marginA = btScalar(0.);
+ marginB = btScalar(0.);
+ }
+
+ m_curIter = 0;
+ int gGjkMaxIter = 1000;//this is to catch invalid input, perhaps check for #NaN?
+ m_cachedSeparatingAxis.setValue(0,1,0);
+
+ bool isValid = false;
+ bool checkSimplex = false;
+ bool checkPenetration = true;
+ m_degenerateSimplex = 0;
+
+ m_lastUsedMethod = -1;
+
+ {
+ btScalar squaredDistance = BT_LARGE_FLOAT;
+ btScalar delta = btScalar(0.);
+
+ btScalar margin = marginA + marginB;
+
+
+
+ m_simplexSolver->reset();
+
+ for ( ; ; )
+ //while (true)
+ {
+
+ btVector3 seperatingAxisInA = (-m_cachedSeparatingAxis)* input.m_transformA.getBasis();
+ btVector3 seperatingAxisInB = m_cachedSeparatingAxis* input.m_transformB.getBasis();
+
+
+ btVector3 pInA = m_minkowskiA->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInA);
+ btVector3 qInB = m_minkowskiB->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInB);
+
+ btVector3 pWorld = localTransA(pInA);
+ btVector3 qWorld = localTransB(qInB);
+
+
+ if (check2d)
+ {
+ pWorld[2] = 0.f;
+ qWorld[2] = 0.f;
+ }
+
+ btVector3 w = pWorld - qWorld;
+ delta = m_cachedSeparatingAxis.dot(w);
+
+ // potential exit, they don't overlap
+ if ((delta > btScalar(0.0)) && (delta * delta > squaredDistance * input.m_maximumDistanceSquared))
+ {
+ m_degenerateSimplex = 10;
+ checkSimplex=true;
+ //checkPenetration = false;
+ break;
+ }
+
+ //exit 0: the new point is already in the simplex, or we didn't come any closer
+ if (m_simplexSolver->inSimplex(w))
+ {
+ m_degenerateSimplex = 1;
+ checkSimplex = true;
+ break;
+ }
+ // are we getting any closer ?
+ btScalar f0 = squaredDistance - delta;
+ btScalar f1 = squaredDistance * REL_ERROR2;
+
+ if (f0 <= f1)
+ {
+ if (f0 <= btScalar(0.))
+ {
+ m_degenerateSimplex = 2;
+ } else
+ {
+ m_degenerateSimplex = 11;
+ }
+ checkSimplex = true;
+ break;
+ }
+
+ //add current vertex to simplex
+ m_simplexSolver->addVertex(w, pWorld, qWorld);
+ btVector3 newCachedSeparatingAxis;
+
+ //calculate the closest point to the origin (update vector v)
+ if (!m_simplexSolver->closest(newCachedSeparatingAxis))
+ {
+ m_degenerateSimplex = 3;
+ checkSimplex = true;
+ break;
+ }
+
+ if(newCachedSeparatingAxis.length2()<REL_ERROR2)
+ {
+ m_cachedSeparatingAxis = newCachedSeparatingAxis;
+ m_degenerateSimplex = 6;
+ checkSimplex = true;
+ break;
+ }
+
+ btScalar previousSquaredDistance = squaredDistance;
+ squaredDistance = newCachedSeparatingAxis.length2();
+#if 0
+///warning: this termination condition leads to some problems in 2d test case see Bullet/Demos/Box2dDemo
+ if (squaredDistance>previousSquaredDistance)
+ {
+ m_degenerateSimplex = 7;
+ squaredDistance = previousSquaredDistance;
+ checkSimplex = false;
+ break;
+ }
+#endif //
+
+
+ //redundant m_simplexSolver->compute_points(pointOnA, pointOnB);
+
+ //are we getting any closer ?
+ if (previousSquaredDistance - squaredDistance <= SIMD_EPSILON * previousSquaredDistance)
+ {
+// m_simplexSolver->backup_closest(m_cachedSeparatingAxis);
+ checkSimplex = true;
+ m_degenerateSimplex = 12;
+
+ break;
+ }
+
+ m_cachedSeparatingAxis = newCachedSeparatingAxis;
+
+ //degeneracy, this is typically due to invalid/uninitialized worldtransforms for a btCollisionObject
+ if (m_curIter++ > gGjkMaxIter)
+ {
+ #if defined(DEBUG) || defined (_DEBUG)
+
+ printf("btGjkPairDetector maxIter exceeded:%i\n",m_curIter);
+ printf("sepAxis=(%f,%f,%f), squaredDistance = %f, shapeTypeA=%i,shapeTypeB=%i\n",
+ m_cachedSeparatingAxis.getX(),
+ m_cachedSeparatingAxis.getY(),
+ m_cachedSeparatingAxis.getZ(),
+ squaredDistance,
+ m_minkowskiA->getShapeType(),
+ m_minkowskiB->getShapeType());
+
+ #endif
+ break;
+
+ }
+
+
+ bool check = (!m_simplexSolver->fullSimplex());
+ //bool check = (!m_simplexSolver->fullSimplex() && squaredDistance > SIMD_EPSILON * m_simplexSolver->maxVertex());
+
+ if (!check)
+ {
+ //do we need this backup_closest here ?
+// m_simplexSolver->backup_closest(m_cachedSeparatingAxis);
+ m_degenerateSimplex = 13;
+ break;
+ }
+ }
+
+ if (checkSimplex)
+ {
+ m_simplexSolver->compute_points(pointOnA, pointOnB);
+ normalInB = m_cachedSeparatingAxis;
+
+ btScalar lenSqr =m_cachedSeparatingAxis.length2();
+
+ //valid normal
+ if (lenSqr < REL_ERROR2)
+ {
+ m_degenerateSimplex = 5;
+ }
+ if (lenSqr > SIMD_EPSILON*SIMD_EPSILON)
+ {
+ btScalar rlen = btScalar(1.) / btSqrt(lenSqr );
+ normalInB *= rlen; //normalize
+
+ btScalar s = btSqrt(squaredDistance);
+
+ btAssert(s > btScalar(0.0));
+ pointOnA -= m_cachedSeparatingAxis * (marginA / s);
+ pointOnB += m_cachedSeparatingAxis * (marginB / s);
+ distance = ((btScalar(1.)/rlen) - margin);
+ isValid = true;
+
+ m_lastUsedMethod = 1;
+ } else
+ {
+ m_lastUsedMethod = 2;
+ }
+ }
+
+ bool catchDegeneratePenetrationCase =
+ (m_catchDegeneracies && m_penetrationDepthSolver && m_degenerateSimplex && ((distance+margin) < gGjkEpaPenetrationTolerance));
+
+ //if (checkPenetration && !isValid)
+ if (checkPenetration && (!isValid || catchDegeneratePenetrationCase ))
+ {
+ //penetration case
+
+ //if there is no way to handle penetrations, bail out
+ if (m_penetrationDepthSolver)
+ {
+ // Penetration depth case.
+ btVector3 tmpPointOnA,tmpPointOnB;
+
+ gNumDeepPenetrationChecks++;
+ m_cachedSeparatingAxis.setZero();
+
+ bool isValid2 = m_penetrationDepthSolver->calcPenDepth(
+ *m_simplexSolver,
+ m_minkowskiA,m_minkowskiB,
+ localTransA,localTransB,
+ m_cachedSeparatingAxis, tmpPointOnA, tmpPointOnB,
+ debugDraw
+ );
+
+
+ if (isValid2)
+ {
+ btVector3 tmpNormalInB = tmpPointOnB-tmpPointOnA;
+ btScalar lenSqr = tmpNormalInB.length2();
+ if (lenSqr <= (SIMD_EPSILON*SIMD_EPSILON))
+ {
+ tmpNormalInB = m_cachedSeparatingAxis;
+ lenSqr = m_cachedSeparatingAxis.length2();
+ }
+
+ if (lenSqr > (SIMD_EPSILON*SIMD_EPSILON))
+ {
+ tmpNormalInB /= btSqrt(lenSqr);
+ btScalar distance2 = -(tmpPointOnA-tmpPointOnB).length();
+ m_lastUsedMethod = 3;
+ //only replace valid penetrations when the result is deeper (check)
+ if (!isValid || (distance2 < distance))
+ {
+ distance = distance2;
+ pointOnA = tmpPointOnA;
+ pointOnB = tmpPointOnB;
+ normalInB = tmpNormalInB;
+
+ isValid = true;
+
+ } else
+ {
+ m_lastUsedMethod = 8;
+ }
+ } else
+ {
+ m_lastUsedMethod = 9;
+ }
+ } else
+
+ {
+ ///this is another degenerate case, where the initial GJK calculation reports a degenerate case
+ ///EPA reports no penetration, and the second GJK (using the supporting vector without margin)
+ ///reports a valid positive distance. Use the results of the second GJK instead of failing.
+ ///thanks to Jacob.Langford for the reproduction case
+ ///http://code.google.com/p/bullet/issues/detail?id=250
+
+
+ if (m_cachedSeparatingAxis.length2() > btScalar(0.))
+ {
+ btScalar distance2 = (tmpPointOnA-tmpPointOnB).length()-margin;
+ //only replace valid distances when the distance is less
+ if (!isValid || (distance2 < distance))
+ {
+ distance = distance2;
+ pointOnA = tmpPointOnA;
+ pointOnB = tmpPointOnB;
+ pointOnA -= m_cachedSeparatingAxis * marginA ;
+ pointOnB += m_cachedSeparatingAxis * marginB ;
+ normalInB = m_cachedSeparatingAxis;
+ normalInB.normalize();
+
+ isValid = true;
+ m_lastUsedMethod = 6;
+ } else
+ {
+ m_lastUsedMethod = 5;
+ }
+ }
+ }
+
+ }
+
+ }
+ }
+
+
+
+ if (isValid && ((distance < 0) || (distance*distance < input.m_maximumDistanceSquared)))
+ {
+
+ m_cachedSeparatingAxis = normalInB;
+ m_cachedSeparatingDistance = distance;
+
+ {
+ ///todo: need to track down this EPA penetration solver degeneracy
+ ///the penetration solver reports penetration but the contact normal
+ ///connecting the contact points is pointing in the opposite direction
+ ///until then, detect the issue and revert the normal
+
+ btScalar d1=0;
+ {
+ btVector3 seperatingAxisInA = (normalInB)* input.m_transformA.getBasis();
+ btVector3 seperatingAxisInB = -normalInB* input.m_transformB.getBasis();
+
+
+ btVector3 pInA = m_minkowskiA->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInA);
+ btVector3 qInB = m_minkowskiB->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInB);
+
+ btVector3 pWorld = localTransA(pInA);
+ btVector3 qWorld = localTransB(qInB);
+ btVector3 w = pWorld - qWorld;
+ d1 = (-normalInB).dot(w);
+ }
+ btScalar d0 = 0.f;
+ {
+ btVector3 seperatingAxisInA = (-normalInB)* input.m_transformA.getBasis();
+ btVector3 seperatingAxisInB = normalInB* input.m_transformB.getBasis();
+
+
+ btVector3 pInA = m_minkowskiA->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInA);
+ btVector3 qInB = m_minkowskiB->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInB);
+
+ btVector3 pWorld = localTransA(pInA);
+ btVector3 qWorld = localTransB(qInB);
+ btVector3 w = pWorld - qWorld;
+ d0 = normalInB.dot(w);
+ }
+ if (d1>d0)
+ {
+ m_lastUsedMethod = 10;
+ normalInB*=-1;
+ }
+
+ }
+ output.addContactPoint(
+ normalInB,
+ pointOnB+positionOffset,
+ distance);
+
+ }
+
+
+}
+
+
+
+
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.h
new file mode 100644
index 0000000000..feeae68621
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btGjkPairDetector.h
@@ -0,0 +1,103 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_GJK_PAIR_DETECTOR_H
+#define BT_GJK_PAIR_DETECTOR_H
+
+#include "btDiscreteCollisionDetectorInterface.h"
+#include "BulletCollision/CollisionShapes/btCollisionMargin.h"
+
+class btConvexShape;
+#include "btSimplexSolverInterface.h"
+class btConvexPenetrationDepthSolver;
+
+/// btGjkPairDetector uses GJK to implement the btDiscreteCollisionDetectorInterface
+class btGjkPairDetector : public btDiscreteCollisionDetectorInterface
+{
+
+
+ btVector3 m_cachedSeparatingAxis;
+ btConvexPenetrationDepthSolver* m_penetrationDepthSolver;
+ btSimplexSolverInterface* m_simplexSolver;
+ const btConvexShape* m_minkowskiA;
+ const btConvexShape* m_minkowskiB;
+ int m_shapeTypeA;
+ int m_shapeTypeB;
+ btScalar m_marginA;
+ btScalar m_marginB;
+
+ bool m_ignoreMargin;
+ btScalar m_cachedSeparatingDistance;
+
+
+public:
+
+ //some debugging to fix degeneracy problems
+ int m_lastUsedMethod;
+ int m_curIter;
+ int m_degenerateSimplex;
+ int m_catchDegeneracies;
+ int m_fixContactNormalDirection;
+
+ btGjkPairDetector(const btConvexShape* objectA,const btConvexShape* objectB,btSimplexSolverInterface* simplexSolver,btConvexPenetrationDepthSolver* penetrationDepthSolver);
+ btGjkPairDetector(const btConvexShape* objectA,const btConvexShape* objectB,int shapeTypeA,int shapeTypeB,btScalar marginA, btScalar marginB, btSimplexSolverInterface* simplexSolver,btConvexPenetrationDepthSolver* penetrationDepthSolver);
+ virtual ~btGjkPairDetector() {};
+
+ virtual void getClosestPoints(const ClosestPointInput& input,Result& output,class btIDebugDraw* debugDraw,bool swapResults=false);
+
+ void getClosestPointsNonVirtual(const ClosestPointInput& input,Result& output,class btIDebugDraw* debugDraw);
+
+
+ void setMinkowskiA(const btConvexShape* minkA)
+ {
+ m_minkowskiA = minkA;
+ }
+
+ void setMinkowskiB(const btConvexShape* minkB)
+ {
+ m_minkowskiB = minkB;
+ }
+ void setCachedSeperatingAxis(const btVector3& seperatingAxis)
+ {
+ m_cachedSeparatingAxis = seperatingAxis;
+ }
+
+ const btVector3& getCachedSeparatingAxis() const
+ {
+ return m_cachedSeparatingAxis;
+ }
+ btScalar getCachedSeparatingDistance() const
+ {
+ return m_cachedSeparatingDistance;
+ }
+
+ void setPenetrationDepthSolver(btConvexPenetrationDepthSolver* penetrationDepthSolver)
+ {
+ m_penetrationDepthSolver = penetrationDepthSolver;
+ }
+
+ ///don't use setIgnoreMargin, it's for Bullet's internal use
+ void setIgnoreMargin(bool ignoreMargin)
+ {
+ m_ignoreMargin = ignoreMargin;
+ }
+
+
+};
+
+#endif //BT_GJK_PAIR_DETECTOR_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btManifoldPoint.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btManifoldPoint.h
new file mode 100644
index 0000000000..571ad2c5f7
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btManifoldPoint.h
@@ -0,0 +1,180 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_MANIFOLD_CONTACT_POINT_H
+#define BT_MANIFOLD_CONTACT_POINT_H
+
+#include "LinearMath/btVector3.h"
+#include "LinearMath/btTransformUtil.h"
+
+#ifdef PFX_USE_FREE_VECTORMATH
+ #include "physics_effects/base_level/solver/pfx_constraint_row.h"
+typedef sce::PhysicsEffects::PfxConstraintRow btConstraintRow;
+#else
+ // Don't change following order of parameters
+ ATTRIBUTE_ALIGNED16(struct) btConstraintRow {
+ btScalar m_normal[3];
+ btScalar m_rhs;
+ btScalar m_jacDiagInv;
+ btScalar m_lowerLimit;
+ btScalar m_upperLimit;
+ btScalar m_accumImpulse;
+ };
+ typedef btConstraintRow PfxConstraintRow;
+#endif //PFX_USE_FREE_VECTORMATH
+
+enum btContactPointFlags
+{
+ BT_CONTACT_FLAG_LATERAL_FRICTION_INITIALIZED=1,
+ BT_CONTACT_FLAG_HAS_CONTACT_CFM=2,
+ BT_CONTACT_FLAG_HAS_CONTACT_ERP=4,
+ BT_CONTACT_FLAG_CONTACT_STIFFNESS_DAMPING = 8,
+ BT_CONTACT_FLAG_FRICTION_ANCHOR = 16,
+};
+
+/// ManifoldContactPoint collects and maintains persistent contactpoints.
+/// used to improve stability and performance of rigidbody dynamics response.
+class btManifoldPoint
+ {
+ public:
+ btManifoldPoint()
+ :m_userPersistentData(0),
+ m_contactPointFlags(0),
+ m_appliedImpulse(0.f),
+ m_appliedImpulseLateral1(0.f),
+ m_appliedImpulseLateral2(0.f),
+ m_contactMotion1(0.f),
+ m_contactMotion2(0.f),
+ m_contactCFM(0.f),
+ m_contactERP(0.f),
+ m_frictionCFM(0.f),
+ m_lifeTime(0)
+ {
+ }
+
+ btManifoldPoint( const btVector3 &pointA, const btVector3 &pointB,
+ const btVector3 &normal,
+ btScalar distance ) :
+ m_localPointA( pointA ),
+ m_localPointB( pointB ),
+ m_normalWorldOnB( normal ),
+ m_distance1( distance ),
+ m_combinedFriction(btScalar(0.)),
+ m_combinedRollingFriction(btScalar(0.)),
+ m_combinedSpinningFriction(btScalar(0.)),
+ m_combinedRestitution(btScalar(0.)),
+ m_userPersistentData(0),
+ m_contactPointFlags(0),
+ m_appliedImpulse(0.f),
+ m_appliedImpulseLateral1(0.f),
+ m_appliedImpulseLateral2(0.f),
+ m_contactMotion1(0.f),
+ m_contactMotion2(0.f),
+ m_contactCFM(0.f),
+ m_contactERP(0.f),
+ m_frictionCFM(0.f),
+ m_lifeTime(0)
+ {
+
+ }
+
+
+
+ btVector3 m_localPointA;
+ btVector3 m_localPointB;
+ btVector3 m_positionWorldOnB;
+ ///m_positionWorldOnA is redundant information, see getPositionWorldOnA(), but for clarity
+ btVector3 m_positionWorldOnA;
+ btVector3 m_normalWorldOnB;
+
+ btScalar m_distance1;
+ btScalar m_combinedFriction;
+ btScalar m_combinedRollingFriction;//torsional friction orthogonal to contact normal, useful to make spheres stop rolling forever
+ btScalar m_combinedSpinningFriction;//torsional friction around contact normal, useful for grasping objects
+ btScalar m_combinedRestitution;
+
+ //BP mod, store contact triangles.
+ int m_partId0;
+ int m_partId1;
+ int m_index0;
+ int m_index1;
+
+ mutable void* m_userPersistentData;
+ //bool m_lateralFrictionInitialized;
+ int m_contactPointFlags;
+
+ btScalar m_appliedImpulse;
+ btScalar m_appliedImpulseLateral1;
+ btScalar m_appliedImpulseLateral2;
+ btScalar m_contactMotion1;
+ btScalar m_contactMotion2;
+
+ union
+ {
+ btScalar m_contactCFM;
+ btScalar m_combinedContactStiffness1;
+ };
+
+ union
+ {
+ btScalar m_contactERP;
+ btScalar m_combinedContactDamping1;
+ };
+
+ btScalar m_frictionCFM;
+
+ int m_lifeTime;//lifetime of the contactpoint in frames
+
+ btVector3 m_lateralFrictionDir1;
+ btVector3 m_lateralFrictionDir2;
+
+
+
+
+ btScalar getDistance() const
+ {
+ return m_distance1;
+ }
+ int getLifeTime() const
+ {
+ return m_lifeTime;
+ }
+
+ const btVector3& getPositionWorldOnA() const {
+ return m_positionWorldOnA;
+// return m_positionWorldOnB + m_normalWorldOnB * m_distance1;
+ }
+
+ const btVector3& getPositionWorldOnB() const
+ {
+ return m_positionWorldOnB;
+ }
+
+ void setDistance(btScalar dist)
+ {
+ m_distance1 = dist;
+ }
+
+ ///this returns the most recent applied impulse, to satisfy contact constraints by the constraint solver
+ btScalar getAppliedImpulse() const
+ {
+ return m_appliedImpulse;
+ }
+
+
+
+ };
+
+#endif //BT_MANIFOLD_CONTACT_POINT_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.cpp
new file mode 100644
index 0000000000..fa45f49037
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.cpp
@@ -0,0 +1,361 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+#include "btMinkowskiPenetrationDepthSolver.h"
+#include "BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.h"
+#include "BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.h"
+#include "BulletCollision/NarrowPhaseCollision/btGjkPairDetector.h"
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+
+#define NUM_UNITSPHERE_POINTS 42
+
+
+bool btMinkowskiPenetrationDepthSolver::calcPenDepth(btSimplexSolverInterface& simplexSolver,
+ const btConvexShape* convexA,const btConvexShape* convexB,
+ const btTransform& transA,const btTransform& transB,
+ btVector3& v, btVector3& pa, btVector3& pb,
+ class btIDebugDraw* debugDraw
+ )
+{
+
+ (void)v;
+
+ bool check2d= convexA->isConvex2d() && convexB->isConvex2d();
+
+ struct btIntermediateResult : public btDiscreteCollisionDetectorInterface::Result
+ {
+
+ btIntermediateResult():m_hasResult(false)
+ {
+ }
+
+ btVector3 m_normalOnBInWorld;
+ btVector3 m_pointInWorld;
+ btScalar m_depth;
+ bool m_hasResult;
+
+ virtual void setShapeIdentifiersA(int partId0,int index0)
+ {
+ (void)partId0;
+ (void)index0;
+ }
+ virtual void setShapeIdentifiersB(int partId1,int index1)
+ {
+ (void)partId1;
+ (void)index1;
+ }
+ void addContactPoint(const btVector3& normalOnBInWorld,const btVector3& pointInWorld,btScalar depth)
+ {
+ m_normalOnBInWorld = normalOnBInWorld;
+ m_pointInWorld = pointInWorld;
+ m_depth = depth;
+ m_hasResult = true;
+ }
+ };
+
+ //just take fixed number of orientation, and sample the penetration depth in that direction
+ btScalar minProj = btScalar(BT_LARGE_FLOAT);
+ btVector3 minNorm(btScalar(0.), btScalar(0.), btScalar(0.));
+ btVector3 minA,minB;
+ btVector3 seperatingAxisInA,seperatingAxisInB;
+ btVector3 pInA,qInB,pWorld,qWorld,w;
+
+#ifndef __SPU__
+#define USE_BATCHED_SUPPORT 1
+#endif
+#ifdef USE_BATCHED_SUPPORT
+
+ btVector3 supportVerticesABatch[NUM_UNITSPHERE_POINTS+MAX_PREFERRED_PENETRATION_DIRECTIONS*2];
+ btVector3 supportVerticesBBatch[NUM_UNITSPHERE_POINTS+MAX_PREFERRED_PENETRATION_DIRECTIONS*2];
+ btVector3 seperatingAxisInABatch[NUM_UNITSPHERE_POINTS+MAX_PREFERRED_PENETRATION_DIRECTIONS*2];
+ btVector3 seperatingAxisInBBatch[NUM_UNITSPHERE_POINTS+MAX_PREFERRED_PENETRATION_DIRECTIONS*2];
+ int i;
+
+ int numSampleDirections = NUM_UNITSPHERE_POINTS;
+
+ for (i=0;i<numSampleDirections;i++)
+ {
+ btVector3 norm = getPenetrationDirections()[i];
+ seperatingAxisInABatch[i] = (-norm) * transA.getBasis() ;
+ seperatingAxisInBBatch[i] = norm * transB.getBasis() ;
+ }
+
+ {
+ int numPDA = convexA->getNumPreferredPenetrationDirections();
+ if (numPDA)
+ {
+ for (int i=0;i<numPDA;i++)
+ {
+ btVector3 norm;
+ convexA->getPreferredPenetrationDirection(i,norm);
+ norm = transA.getBasis() * norm;
+ getPenetrationDirections()[numSampleDirections] = norm;
+ seperatingAxisInABatch[numSampleDirections] = (-norm) * transA.getBasis();
+ seperatingAxisInBBatch[numSampleDirections] = norm * transB.getBasis();
+ numSampleDirections++;
+ }
+ }
+ }
+
+ {
+ int numPDB = convexB->getNumPreferredPenetrationDirections();
+ if (numPDB)
+ {
+ for (int i=0;i<numPDB;i++)
+ {
+ btVector3 norm;
+ convexB->getPreferredPenetrationDirection(i,norm);
+ norm = transB.getBasis() * norm;
+ getPenetrationDirections()[numSampleDirections] = norm;
+ seperatingAxisInABatch[numSampleDirections] = (-norm) * transA.getBasis();
+ seperatingAxisInBBatch[numSampleDirections] = norm * transB.getBasis();
+ numSampleDirections++;
+ }
+ }
+ }
+
+
+
+
+ convexA->batchedUnitVectorGetSupportingVertexWithoutMargin(seperatingAxisInABatch,supportVerticesABatch,numSampleDirections);
+ convexB->batchedUnitVectorGetSupportingVertexWithoutMargin(seperatingAxisInBBatch,supportVerticesBBatch,numSampleDirections);
+
+ for (i=0;i<numSampleDirections;i++)
+ {
+ btVector3 norm = getPenetrationDirections()[i];
+ if (check2d)
+ {
+ norm[2] = 0.f;
+ }
+ if (norm.length2()>0.01)
+ {
+
+ seperatingAxisInA = seperatingAxisInABatch[i];
+ seperatingAxisInB = seperatingAxisInBBatch[i];
+
+ pInA = supportVerticesABatch[i];
+ qInB = supportVerticesBBatch[i];
+
+ pWorld = transA(pInA);
+ qWorld = transB(qInB);
+ if (check2d)
+ {
+ pWorld[2] = 0.f;
+ qWorld[2] = 0.f;
+ }
+
+ w = qWorld - pWorld;
+ btScalar delta = norm.dot(w);
+ //find smallest delta
+ if (delta < minProj)
+ {
+ minProj = delta;
+ minNorm = norm;
+ minA = pWorld;
+ minB = qWorld;
+ }
+ }
+ }
+#else
+
+ int numSampleDirections = NUM_UNITSPHERE_POINTS;
+
+#ifndef __SPU__
+ {
+ int numPDA = convexA->getNumPreferredPenetrationDirections();
+ if (numPDA)
+ {
+ for (int i=0;i<numPDA;i++)
+ {
+ btVector3 norm;
+ convexA->getPreferredPenetrationDirection(i,norm);
+ norm = transA.getBasis() * norm;
+ getPenetrationDirections()[numSampleDirections] = norm;
+ numSampleDirections++;
+ }
+ }
+ }
+
+ {
+ int numPDB = convexB->getNumPreferredPenetrationDirections();
+ if (numPDB)
+ {
+ for (int i=0;i<numPDB;i++)
+ {
+ btVector3 norm;
+ convexB->getPreferredPenetrationDirection(i,norm);
+ norm = transB.getBasis() * norm;
+ getPenetrationDirections()[numSampleDirections] = norm;
+ numSampleDirections++;
+ }
+ }
+ }
+#endif // __SPU__
+
+ for (int i=0;i<numSampleDirections;i++)
+ {
+ const btVector3& norm = getPenetrationDirections()[i];
+ seperatingAxisInA = (-norm)* transA.getBasis();
+ seperatingAxisInB = norm* transB.getBasis();
+ pInA = convexA->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInA);
+ qInB = convexB->localGetSupportVertexWithoutMarginNonVirtual(seperatingAxisInB);
+ pWorld = transA(pInA);
+ qWorld = transB(qInB);
+ w = qWorld - pWorld;
+ btScalar delta = norm.dot(w);
+ //find smallest delta
+ if (delta < minProj)
+ {
+ minProj = delta;
+ minNorm = norm;
+ minA = pWorld;
+ minB = qWorld;
+ }
+ }
+#endif //USE_BATCHED_SUPPORT
+
+ //add the margins
+
+ minA += minNorm*convexA->getMarginNonVirtual();
+ minB -= minNorm*convexB->getMarginNonVirtual();
+ //no penetration
+ if (minProj < btScalar(0.))
+ return false;
+
+ btScalar extraSeparation = 0.5f;///scale dependent
+ minProj += extraSeparation+(convexA->getMarginNonVirtual() + convexB->getMarginNonVirtual());
+
+
+
+
+
+//#define DEBUG_DRAW 1
+#ifdef DEBUG_DRAW
+ if (debugDraw)
+ {
+ btVector3 color(0,1,0);
+ debugDraw->drawLine(minA,minB,color);
+ color = btVector3 (1,1,1);
+ btVector3 vec = minB-minA;
+ btScalar prj2 = minNorm.dot(vec);
+ debugDraw->drawLine(minA,minA+(minNorm*minProj),color);
+
+ }
+#endif //DEBUG_DRAW
+
+
+
+ btGjkPairDetector gjkdet(convexA,convexB,&simplexSolver,0);
+
+ btScalar offsetDist = minProj;
+ btVector3 offset = minNorm * offsetDist;
+
+
+
+ btGjkPairDetector::ClosestPointInput input;
+
+ btVector3 newOrg = transA.getOrigin() + offset;
+
+ btTransform displacedTrans = transA;
+ displacedTrans.setOrigin(newOrg);
+
+ input.m_transformA = displacedTrans;
+ input.m_transformB = transB;
+ input.m_maximumDistanceSquared = btScalar(BT_LARGE_FLOAT);//minProj;
+
+ btIntermediateResult res;
+ gjkdet.setCachedSeperatingAxis(-minNorm);
+ gjkdet.getClosestPoints(input,res,debugDraw);
+
+ btScalar correctedMinNorm = minProj - res.m_depth;
+
+
+ //the penetration depth is over-estimated, relax it
+ btScalar penetration_relaxation= btScalar(1.);
+ minNorm*=penetration_relaxation;
+
+
+ if (res.m_hasResult)
+ {
+
+ pa = res.m_pointInWorld - minNorm * correctedMinNorm;
+ pb = res.m_pointInWorld;
+ v = minNorm;
+
+#ifdef DEBUG_DRAW
+ if (debugDraw)
+ {
+ btVector3 color(1,0,0);
+ debugDraw->drawLine(pa,pb,color);
+ }
+#endif//DEBUG_DRAW
+
+
+ }
+ return res.m_hasResult;
+}
+
+btVector3* btMinkowskiPenetrationDepthSolver::getPenetrationDirections()
+{
+ static btVector3 sPenetrationDirections[NUM_UNITSPHERE_POINTS+MAX_PREFERRED_PENETRATION_DIRECTIONS*2] =
+ {
+ btVector3(btScalar(0.000000) , btScalar(-0.000000),btScalar(-1.000000)),
+ btVector3(btScalar(0.723608) , btScalar(-0.525725),btScalar(-0.447219)),
+ btVector3(btScalar(-0.276388) , btScalar(-0.850649),btScalar(-0.447219)),
+ btVector3(btScalar(-0.894426) , btScalar(-0.000000),btScalar(-0.447216)),
+ btVector3(btScalar(-0.276388) , btScalar(0.850649),btScalar(-0.447220)),
+ btVector3(btScalar(0.723608) , btScalar(0.525725),btScalar(-0.447219)),
+ btVector3(btScalar(0.276388) , btScalar(-0.850649),btScalar(0.447220)),
+ btVector3(btScalar(-0.723608) , btScalar(-0.525725),btScalar(0.447219)),
+ btVector3(btScalar(-0.723608) , btScalar(0.525725),btScalar(0.447219)),
+ btVector3(btScalar(0.276388) , btScalar(0.850649),btScalar(0.447219)),
+ btVector3(btScalar(0.894426) , btScalar(0.000000),btScalar(0.447216)),
+ btVector3(btScalar(-0.000000) , btScalar(0.000000),btScalar(1.000000)),
+ btVector3(btScalar(0.425323) , btScalar(-0.309011),btScalar(-0.850654)),
+ btVector3(btScalar(-0.162456) , btScalar(-0.499995),btScalar(-0.850654)),
+ btVector3(btScalar(0.262869) , btScalar(-0.809012),btScalar(-0.525738)),
+ btVector3(btScalar(0.425323) , btScalar(0.309011),btScalar(-0.850654)),
+ btVector3(btScalar(0.850648) , btScalar(-0.000000),btScalar(-0.525736)),
+ btVector3(btScalar(-0.525730) , btScalar(-0.000000),btScalar(-0.850652)),
+ btVector3(btScalar(-0.688190) , btScalar(-0.499997),btScalar(-0.525736)),
+ btVector3(btScalar(-0.162456) , btScalar(0.499995),btScalar(-0.850654)),
+ btVector3(btScalar(-0.688190) , btScalar(0.499997),btScalar(-0.525736)),
+ btVector3(btScalar(0.262869) , btScalar(0.809012),btScalar(-0.525738)),
+ btVector3(btScalar(0.951058) , btScalar(0.309013),btScalar(0.000000)),
+ btVector3(btScalar(0.951058) , btScalar(-0.309013),btScalar(0.000000)),
+ btVector3(btScalar(0.587786) , btScalar(-0.809017),btScalar(0.000000)),
+ btVector3(btScalar(0.000000) , btScalar(-1.000000),btScalar(0.000000)),
+ btVector3(btScalar(-0.587786) , btScalar(-0.809017),btScalar(0.000000)),
+ btVector3(btScalar(-0.951058) , btScalar(-0.309013),btScalar(-0.000000)),
+ btVector3(btScalar(-0.951058) , btScalar(0.309013),btScalar(-0.000000)),
+ btVector3(btScalar(-0.587786) , btScalar(0.809017),btScalar(-0.000000)),
+ btVector3(btScalar(-0.000000) , btScalar(1.000000),btScalar(-0.000000)),
+ btVector3(btScalar(0.587786) , btScalar(0.809017),btScalar(-0.000000)),
+ btVector3(btScalar(0.688190) , btScalar(-0.499997),btScalar(0.525736)),
+ btVector3(btScalar(-0.262869) , btScalar(-0.809012),btScalar(0.525738)),
+ btVector3(btScalar(-0.850648) , btScalar(0.000000),btScalar(0.525736)),
+ btVector3(btScalar(-0.262869) , btScalar(0.809012),btScalar(0.525738)),
+ btVector3(btScalar(0.688190) , btScalar(0.499997),btScalar(0.525736)),
+ btVector3(btScalar(0.525730) , btScalar(0.000000),btScalar(0.850652)),
+ btVector3(btScalar(0.162456) , btScalar(-0.499995),btScalar(0.850654)),
+ btVector3(btScalar(-0.425323) , btScalar(-0.309011),btScalar(0.850654)),
+ btVector3(btScalar(-0.425323) , btScalar(0.309011),btScalar(0.850654)),
+ btVector3(btScalar(0.162456) , btScalar(0.499995),btScalar(0.850654))
+ };
+
+ return sPenetrationDirections;
+}
+
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.h
new file mode 100644
index 0000000000..fd533b4fc3
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMinkowskiPenetrationDepthSolver.h
@@ -0,0 +1,40 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_MINKOWSKI_PENETRATION_DEPTH_SOLVER_H
+#define BT_MINKOWSKI_PENETRATION_DEPTH_SOLVER_H
+
+#include "btConvexPenetrationDepthSolver.h"
+
+///MinkowskiPenetrationDepthSolver implements bruteforce penetration depth estimation.
+///Implementation is based on sampling the depth using support mapping, and using GJK step to get the witness points.
+class btMinkowskiPenetrationDepthSolver : public btConvexPenetrationDepthSolver
+{
+protected:
+
+ static btVector3* getPenetrationDirections();
+
+public:
+
+ virtual bool calcPenDepth( btSimplexSolverInterface& simplexSolver,
+ const btConvexShape* convexA,const btConvexShape* convexB,
+ const btTransform& transA,const btTransform& transB,
+ btVector3& v, btVector3& pa, btVector3& pb,
+ class btIDebugDraw* debugDraw
+ );
+};
+
+#endif //BT_MINKOWSKI_PENETRATION_DEPTH_SOLVER_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMprPenetration.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMprPenetration.h
new file mode 100644
index 0000000000..a22a0bae66
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btMprPenetration.h
@@ -0,0 +1,908 @@
+
+/***
+ * ---------------------------------
+ * Copyright (c)2012 Daniel Fiser <danfis@danfis.cz>
+ *
+ * This file was ported from mpr.c file, part of libccd.
+ * The Minkoski Portal Refinement implementation was ported
+ * to OpenCL by Erwin Coumans for the Bullet 3 Physics library.
+ * The original MPR idea and implementation is by Gary Snethen
+ * in XenoCollide, see http://github.com/erwincoumans/xenocollide
+ *
+ * Distributed under the OSI-approved BSD License (the "License");
+ * see <http://www.opensource.org/licenses/bsd-license.php>.
+ * This software is distributed WITHOUT ANY WARRANTY; without even the
+ * implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
+ * See the License for more information.
+ */
+
+///2014 Oct, Erwin Coumans, Use templates to avoid void* casts
+
+#ifndef BT_MPR_PENETRATION_H
+#define BT_MPR_PENETRATION_H
+
+#define BT_DEBUG_MPR1
+
+#include "LinearMath/btTransform.h"
+#include "LinearMath/btAlignedObjectArray.h"
+
+//#define MPR_AVERAGE_CONTACT_POSITIONS
+
+
+struct btMprCollisionDescription
+{
+ btVector3 m_firstDir;
+ int m_maxGjkIterations;
+ btScalar m_maximumDistanceSquared;
+ btScalar m_gjkRelError2;
+
+ btMprCollisionDescription()
+ : m_firstDir(0,1,0),
+ m_maxGjkIterations(1000),
+ m_maximumDistanceSquared(1e30f),
+ m_gjkRelError2(1.0e-6)
+ {
+ }
+ virtual ~btMprCollisionDescription()
+ {
+ }
+};
+
+struct btMprDistanceInfo
+{
+ btVector3 m_pointOnA;
+ btVector3 m_pointOnB;
+ btVector3 m_normalBtoA;
+ btScalar m_distance;
+};
+
+#ifdef __cplusplus
+#define BT_MPR_SQRT sqrtf
+#else
+#define BT_MPR_SQRT sqrt
+#endif
+#define BT_MPR_FMIN(x, y) ((x) < (y) ? (x) : (y))
+#define BT_MPR_FABS fabs
+
+#define BT_MPR_TOLERANCE 1E-6f
+#define BT_MPR_MAX_ITERATIONS 1000
+
+struct _btMprSupport_t
+{
+ btVector3 v; //!< Support point in minkowski sum
+ btVector3 v1; //!< Support point in obj1
+ btVector3 v2; //!< Support point in obj2
+};
+typedef struct _btMprSupport_t btMprSupport_t;
+
+struct _btMprSimplex_t
+{
+ btMprSupport_t ps[4];
+ int last; //!< index of last added point
+};
+typedef struct _btMprSimplex_t btMprSimplex_t;
+
+inline btMprSupport_t* btMprSimplexPointW(btMprSimplex_t *s, int idx)
+{
+ return &s->ps[idx];
+}
+
+inline void btMprSimplexSetSize(btMprSimplex_t *s, int size)
+{
+ s->last = size - 1;
+}
+
+#ifdef DEBUG_MPR
+inline void btPrintPortalVertex(_btMprSimplex_t* portal, int index)
+{
+ printf("portal[%d].v = %f,%f,%f, v1=%f,%f,%f, v2=%f,%f,%f\n", index, portal->ps[index].v.x(),portal->ps[index].v.y(),portal->ps[index].v.z(),
+ portal->ps[index].v1.x(),portal->ps[index].v1.y(),portal->ps[index].v1.z(),
+ portal->ps[index].v2.x(),portal->ps[index].v2.y(),portal->ps[index].v2.z());
+}
+#endif //DEBUG_MPR
+
+
+
+
+inline int btMprSimplexSize(const btMprSimplex_t *s)
+{
+ return s->last + 1;
+}
+
+
+inline const btMprSupport_t* btMprSimplexPoint(const btMprSimplex_t* s, int idx)
+{
+ // here is no check on boundaries
+ return &s->ps[idx];
+}
+
+inline void btMprSupportCopy(btMprSupport_t *d, const btMprSupport_t *s)
+{
+ *d = *s;
+}
+
+inline void btMprSimplexSet(btMprSimplex_t *s, size_t pos, const btMprSupport_t *a)
+{
+ btMprSupportCopy(s->ps + pos, a);
+}
+
+
+inline void btMprSimplexSwap(btMprSimplex_t *s, size_t pos1, size_t pos2)
+{
+ btMprSupport_t supp;
+
+ btMprSupportCopy(&supp, &s->ps[pos1]);
+ btMprSupportCopy(&s->ps[pos1], &s->ps[pos2]);
+ btMprSupportCopy(&s->ps[pos2], &supp);
+}
+
+
+inline int btMprIsZero(float val)
+{
+ return BT_MPR_FABS(val) < FLT_EPSILON;
+}
+
+
+
+inline int btMprEq(float _a, float _b)
+{
+ float ab;
+ float a, b;
+
+ ab = BT_MPR_FABS(_a - _b);
+ if (BT_MPR_FABS(ab) < FLT_EPSILON)
+ return 1;
+
+ a = BT_MPR_FABS(_a);
+ b = BT_MPR_FABS(_b);
+ if (b > a){
+ return ab < FLT_EPSILON * b;
+ }else{
+ return ab < FLT_EPSILON * a;
+ }
+}
+
+
+inline int btMprVec3Eq(const btVector3* a, const btVector3 *b)
+{
+ return btMprEq((*a).x(), (*b).x())
+ && btMprEq((*a).y(), (*b).y())
+ && btMprEq((*a).z(), (*b).z());
+}
+
+
+
+
+
+
+
+
+
+
+
+template <typename btConvexTemplate>
+inline void btFindOrigin(const btConvexTemplate& a, const btConvexTemplate& b, const btMprCollisionDescription& colDesc,btMprSupport_t *center)
+{
+
+ center->v1 = a.getObjectCenterInWorld();
+ center->v2 = b.getObjectCenterInWorld();
+ center->v = center->v1 - center->v2;
+}
+
+inline void btMprVec3Set(btVector3 *v, float x, float y, float z)
+{
+ v->setValue(x,y,z);
+}
+
+inline void btMprVec3Add(btVector3 *v, const btVector3 *w)
+{
+ *v += *w;
+}
+
+inline void btMprVec3Copy(btVector3 *v, const btVector3 *w)
+{
+ *v = *w;
+}
+
+inline void btMprVec3Scale(btVector3 *d, float k)
+{
+ *d *= k;
+}
+
+inline float btMprVec3Dot(const btVector3 *a, const btVector3 *b)
+{
+ float dot;
+
+ dot = btDot(*a,*b);
+ return dot;
+}
+
+
+inline float btMprVec3Len2(const btVector3 *v)
+{
+ return btMprVec3Dot(v, v);
+}
+
+inline void btMprVec3Normalize(btVector3 *d)
+{
+ float k = 1.f / BT_MPR_SQRT(btMprVec3Len2(d));
+ btMprVec3Scale(d, k);
+}
+
+inline void btMprVec3Cross(btVector3 *d, const btVector3 *a, const btVector3 *b)
+{
+ *d = btCross(*a,*b);
+
+}
+
+
+inline void btMprVec3Sub2(btVector3 *d, const btVector3 *v, const btVector3 *w)
+{
+ *d = *v - *w;
+}
+
+inline void btPortalDir(const btMprSimplex_t *portal, btVector3 *dir)
+{
+ btVector3 v2v1, v3v1;
+
+ btMprVec3Sub2(&v2v1, &btMprSimplexPoint(portal, 2)->v,
+ &btMprSimplexPoint(portal, 1)->v);
+ btMprVec3Sub2(&v3v1, &btMprSimplexPoint(portal, 3)->v,
+ &btMprSimplexPoint(portal, 1)->v);
+ btMprVec3Cross(dir, &v2v1, &v3v1);
+ btMprVec3Normalize(dir);
+}
+
+
+inline int portalEncapsulesOrigin(const btMprSimplex_t *portal,
+ const btVector3 *dir)
+{
+ float dot;
+ dot = btMprVec3Dot(dir, &btMprSimplexPoint(portal, 1)->v);
+ return btMprIsZero(dot) || dot > 0.f;
+}
+
+inline int portalReachTolerance(const btMprSimplex_t *portal,
+ const btMprSupport_t *v4,
+ const btVector3 *dir)
+{
+ float dv1, dv2, dv3, dv4;
+ float dot1, dot2, dot3;
+
+ // find the smallest dot product of dir and {v1-v4, v2-v4, v3-v4}
+
+ dv1 = btMprVec3Dot(&btMprSimplexPoint(portal, 1)->v, dir);
+ dv2 = btMprVec3Dot(&btMprSimplexPoint(portal, 2)->v, dir);
+ dv3 = btMprVec3Dot(&btMprSimplexPoint(portal, 3)->v, dir);
+ dv4 = btMprVec3Dot(&v4->v, dir);
+
+ dot1 = dv4 - dv1;
+ dot2 = dv4 - dv2;
+ dot3 = dv4 - dv3;
+
+ dot1 = BT_MPR_FMIN(dot1, dot2);
+ dot1 = BT_MPR_FMIN(dot1, dot3);
+
+ return btMprEq(dot1, BT_MPR_TOLERANCE) || dot1 < BT_MPR_TOLERANCE;
+}
+
+inline int portalCanEncapsuleOrigin(const btMprSimplex_t *portal,
+ const btMprSupport_t *v4,
+ const btVector3 *dir)
+{
+ float dot;
+ dot = btMprVec3Dot(&v4->v, dir);
+ return btMprIsZero(dot) || dot > 0.f;
+}
+
+inline void btExpandPortal(btMprSimplex_t *portal,
+ const btMprSupport_t *v4)
+{
+ float dot;
+ btVector3 v4v0;
+
+ btMprVec3Cross(&v4v0, &v4->v, &btMprSimplexPoint(portal, 0)->v);
+ dot = btMprVec3Dot(&btMprSimplexPoint(portal, 1)->v, &v4v0);
+ if (dot > 0.f){
+ dot = btMprVec3Dot(&btMprSimplexPoint(portal, 2)->v, &v4v0);
+ if (dot > 0.f){
+ btMprSimplexSet(portal, 1, v4);
+ }else{
+ btMprSimplexSet(portal, 3, v4);
+ }
+ }else{
+ dot = btMprVec3Dot(&btMprSimplexPoint(portal, 3)->v, &v4v0);
+ if (dot > 0.f){
+ btMprSimplexSet(portal, 2, v4);
+ }else{
+ btMprSimplexSet(portal, 1, v4);
+ }
+ }
+}
+template <typename btConvexTemplate>
+inline void btMprSupport(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btMprCollisionDescription& colDesc,
+ const btVector3& dir, btMprSupport_t *supp)
+{
+ btVector3 seperatingAxisInA = dir* a.getWorldTransform().getBasis();
+ btVector3 seperatingAxisInB = -dir* b.getWorldTransform().getBasis();
+
+ btVector3 pInA = a.getLocalSupportWithMargin(seperatingAxisInA);
+ btVector3 qInB = b.getLocalSupportWithMargin(seperatingAxisInB);
+
+ supp->v1 = a.getWorldTransform()(pInA);
+ supp->v2 = b.getWorldTransform()(qInB);
+ supp->v = supp->v1 - supp->v2;
+}
+
+
+template <typename btConvexTemplate>
+static int btDiscoverPortal(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btMprCollisionDescription& colDesc,
+ btMprSimplex_t *portal)
+{
+ btVector3 dir, va, vb;
+ float dot;
+ int cont;
+
+
+
+ // vertex 0 is center of portal
+ btFindOrigin(a,b,colDesc, btMprSimplexPointW(portal, 0));
+
+
+ // vertex 0 is center of portal
+ btMprSimplexSetSize(portal, 1);
+
+
+
+ btVector3 zero = btVector3(0,0,0);
+ btVector3* org = &zero;
+
+ if (btMprVec3Eq(&btMprSimplexPoint(portal, 0)->v, org)){
+ // Portal's center lies on origin (0,0,0) => we know that objects
+ // intersect but we would need to know penetration info.
+ // So move center little bit...
+ btMprVec3Set(&va, FLT_EPSILON * 10.f, 0.f, 0.f);
+ btMprVec3Add(&btMprSimplexPointW(portal, 0)->v, &va);
+ }
+
+
+ // vertex 1 = support in direction of origin
+ btMprVec3Copy(&dir, &btMprSimplexPoint(portal, 0)->v);
+ btMprVec3Scale(&dir, -1.f);
+ btMprVec3Normalize(&dir);
+
+
+ btMprSupport(a,b,colDesc, dir, btMprSimplexPointW(portal, 1));
+
+ btMprSimplexSetSize(portal, 2);
+
+ // test if origin isn't outside of v1
+ dot = btMprVec3Dot(&btMprSimplexPoint(portal, 1)->v, &dir);
+
+
+ if (btMprIsZero(dot) || dot < 0.f)
+ return -1;
+
+
+ // vertex 2
+ btMprVec3Cross(&dir, &btMprSimplexPoint(portal, 0)->v,
+ &btMprSimplexPoint(portal, 1)->v);
+ if (btMprIsZero(btMprVec3Len2(&dir))){
+ if (btMprVec3Eq(&btMprSimplexPoint(portal, 1)->v, org)){
+ // origin lies on v1
+ return 1;
+ }else{
+ // origin lies on v0-v1 segment
+ return 2;
+ }
+ }
+
+ btMprVec3Normalize(&dir);
+ btMprSupport(a,b,colDesc, dir, btMprSimplexPointW(portal, 2));
+
+
+
+ dot = btMprVec3Dot(&btMprSimplexPoint(portal, 2)->v, &dir);
+ if (btMprIsZero(dot) || dot < 0.f)
+ return -1;
+
+ btMprSimplexSetSize(portal, 3);
+
+ // vertex 3 direction
+ btMprVec3Sub2(&va, &btMprSimplexPoint(portal, 1)->v,
+ &btMprSimplexPoint(portal, 0)->v);
+ btMprVec3Sub2(&vb, &btMprSimplexPoint(portal, 2)->v,
+ &btMprSimplexPoint(portal, 0)->v);
+ btMprVec3Cross(&dir, &va, &vb);
+ btMprVec3Normalize(&dir);
+
+ // it is better to form portal faces to be oriented "outside" origin
+ dot = btMprVec3Dot(&dir, &btMprSimplexPoint(portal, 0)->v);
+ if (dot > 0.f){
+ btMprSimplexSwap(portal, 1, 2);
+ btMprVec3Scale(&dir, -1.f);
+ }
+
+ while (btMprSimplexSize(portal) < 4){
+ btMprSupport(a,b,colDesc, dir, btMprSimplexPointW(portal, 3));
+
+ dot = btMprVec3Dot(&btMprSimplexPoint(portal, 3)->v, &dir);
+ if (btMprIsZero(dot) || dot < 0.f)
+ return -1;
+
+ cont = 0;
+
+ // test if origin is outside (v1, v0, v3) - set v2 as v3 and
+ // continue
+ btMprVec3Cross(&va, &btMprSimplexPoint(portal, 1)->v,
+ &btMprSimplexPoint(portal, 3)->v);
+ dot = btMprVec3Dot(&va, &btMprSimplexPoint(portal, 0)->v);
+ if (dot < 0.f && !btMprIsZero(dot)){
+ btMprSimplexSet(portal, 2, btMprSimplexPoint(portal, 3));
+ cont = 1;
+ }
+
+ if (!cont){
+ // test if origin is outside (v3, v0, v2) - set v1 as v3 and
+ // continue
+ btMprVec3Cross(&va, &btMprSimplexPoint(portal, 3)->v,
+ &btMprSimplexPoint(portal, 2)->v);
+ dot = btMprVec3Dot(&va, &btMprSimplexPoint(portal, 0)->v);
+ if (dot < 0.f && !btMprIsZero(dot)){
+ btMprSimplexSet(portal, 1, btMprSimplexPoint(portal, 3));
+ cont = 1;
+ }
+ }
+
+ if (cont){
+ btMprVec3Sub2(&va, &btMprSimplexPoint(portal, 1)->v,
+ &btMprSimplexPoint(portal, 0)->v);
+ btMprVec3Sub2(&vb, &btMprSimplexPoint(portal, 2)->v,
+ &btMprSimplexPoint(portal, 0)->v);
+ btMprVec3Cross(&dir, &va, &vb);
+ btMprVec3Normalize(&dir);
+ }else{
+ btMprSimplexSetSize(portal, 4);
+ }
+ }
+
+ return 0;
+}
+
+template <typename btConvexTemplate>
+static int btRefinePortal(const btConvexTemplate& a, const btConvexTemplate& b,const btMprCollisionDescription& colDesc,
+ btMprSimplex_t *portal)
+{
+ btVector3 dir;
+ btMprSupport_t v4;
+
+ for (int i=0;i<BT_MPR_MAX_ITERATIONS;i++)
+ //while (1)
+ {
+ // compute direction outside the portal (from v0 throught v1,v2,v3
+ // face)
+ btPortalDir(portal, &dir);
+
+ // test if origin is inside the portal
+ if (portalEncapsulesOrigin(portal, &dir))
+ return 0;
+
+ // get next support point
+
+ btMprSupport(a,b,colDesc, dir, &v4);
+
+
+ // test if v4 can expand portal to contain origin and if portal
+ // expanding doesn't reach given tolerance
+ if (!portalCanEncapsuleOrigin(portal, &v4, &dir)
+ || portalReachTolerance(portal, &v4, &dir))
+ {
+ return -1;
+ }
+
+ // v1-v2-v3 triangle must be rearranged to face outside Minkowski
+ // difference (direction from v0).
+ btExpandPortal(portal, &v4);
+ }
+
+ return -1;
+}
+
+static void btFindPos(const btMprSimplex_t *portal, btVector3 *pos)
+{
+
+ btVector3 zero = btVector3(0,0,0);
+ btVector3* origin = &zero;
+
+ btVector3 dir;
+ size_t i;
+ float b[4], sum, inv;
+ btVector3 vec, p1, p2;
+
+ btPortalDir(portal, &dir);
+
+ // use barycentric coordinates of tetrahedron to find origin
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 1)->v,
+ &btMprSimplexPoint(portal, 2)->v);
+ b[0] = btMprVec3Dot(&vec, &btMprSimplexPoint(portal, 3)->v);
+
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 3)->v,
+ &btMprSimplexPoint(portal, 2)->v);
+ b[1] = btMprVec3Dot(&vec, &btMprSimplexPoint(portal, 0)->v);
+
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 0)->v,
+ &btMprSimplexPoint(portal, 1)->v);
+ b[2] = btMprVec3Dot(&vec, &btMprSimplexPoint(portal, 3)->v);
+
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 2)->v,
+ &btMprSimplexPoint(portal, 1)->v);
+ b[3] = btMprVec3Dot(&vec, &btMprSimplexPoint(portal, 0)->v);
+
+ sum = b[0] + b[1] + b[2] + b[3];
+
+ if (btMprIsZero(sum) || sum < 0.f){
+ b[0] = 0.f;
+
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 2)->v,
+ &btMprSimplexPoint(portal, 3)->v);
+ b[1] = btMprVec3Dot(&vec, &dir);
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 3)->v,
+ &btMprSimplexPoint(portal, 1)->v);
+ b[2] = btMprVec3Dot(&vec, &dir);
+ btMprVec3Cross(&vec, &btMprSimplexPoint(portal, 1)->v,
+ &btMprSimplexPoint(portal, 2)->v);
+ b[3] = btMprVec3Dot(&vec, &dir);
+
+ sum = b[1] + b[2] + b[3];
+ }
+
+ inv = 1.f / sum;
+
+ btMprVec3Copy(&p1, origin);
+ btMprVec3Copy(&p2, origin);
+ for (i = 0; i < 4; i++){
+ btMprVec3Copy(&vec, &btMprSimplexPoint(portal, i)->v1);
+ btMprVec3Scale(&vec, b[i]);
+ btMprVec3Add(&p1, &vec);
+
+ btMprVec3Copy(&vec, &btMprSimplexPoint(portal, i)->v2);
+ btMprVec3Scale(&vec, b[i]);
+ btMprVec3Add(&p2, &vec);
+ }
+ btMprVec3Scale(&p1, inv);
+ btMprVec3Scale(&p2, inv);
+#ifdef MPR_AVERAGE_CONTACT_POSITIONS
+ btMprVec3Copy(pos, &p1);
+ btMprVec3Add(pos, &p2);
+ btMprVec3Scale(pos, 0.5);
+#else
+ btMprVec3Copy(pos, &p2);
+#endif//MPR_AVERAGE_CONTACT_POSITIONS
+}
+
+inline float btMprVec3Dist2(const btVector3 *a, const btVector3 *b)
+{
+ btVector3 ab;
+ btMprVec3Sub2(&ab, a, b);
+ return btMprVec3Len2(&ab);
+}
+
+inline float _btMprVec3PointSegmentDist2(const btVector3 *P,
+ const btVector3 *x0,
+ const btVector3 *b,
+ btVector3 *witness)
+{
+ // The computation comes from solving equation of segment:
+ // S(t) = x0 + t.d
+ // where - x0 is initial point of segment
+ // - d is direction of segment from x0 (|d| > 0)
+ // - t belongs to <0, 1> interval
+ //
+ // Than, distance from a segment to some point P can be expressed:
+ // D(t) = |x0 + t.d - P|^2
+ // which is distance from any point on segment. Minimization
+ // of this function brings distance from P to segment.
+ // Minimization of D(t) leads to simple quadratic equation that's
+ // solving is straightforward.
+ //
+ // Bonus of this method is witness point for free.
+
+ float dist, t;
+ btVector3 d, a;
+
+ // direction of segment
+ btMprVec3Sub2(&d, b, x0);
+
+ // precompute vector from P to x0
+ btMprVec3Sub2(&a, x0, P);
+
+ t = -1.f * btMprVec3Dot(&a, &d);
+ t /= btMprVec3Len2(&d);
+
+ if (t < 0.f || btMprIsZero(t)){
+ dist = btMprVec3Dist2(x0, P);
+ if (witness)
+ btMprVec3Copy(witness, x0);
+ }else if (t > 1.f || btMprEq(t, 1.f)){
+ dist = btMprVec3Dist2(b, P);
+ if (witness)
+ btMprVec3Copy(witness, b);
+ }else{
+ if (witness){
+ btMprVec3Copy(witness, &d);
+ btMprVec3Scale(witness, t);
+ btMprVec3Add(witness, x0);
+ dist = btMprVec3Dist2(witness, P);
+ }else{
+ // recycling variables
+ btMprVec3Scale(&d, t);
+ btMprVec3Add(&d, &a);
+ dist = btMprVec3Len2(&d);
+ }
+ }
+
+ return dist;
+}
+
+
+
+inline float btMprVec3PointTriDist2(const btVector3 *P,
+ const btVector3 *x0, const btVector3 *B,
+ const btVector3 *C,
+ btVector3 *witness)
+{
+ // Computation comes from analytic expression for triangle (x0, B, C)
+ // T(s, t) = x0 + s.d1 + t.d2, where d1 = B - x0 and d2 = C - x0 and
+ // Then equation for distance is:
+ // D(s, t) = | T(s, t) - P |^2
+ // This leads to minimization of quadratic function of two variables.
+ // The solution from is taken only if s is between 0 and 1, t is
+ // between 0 and 1 and t + s < 1, otherwise distance from segment is
+ // computed.
+
+ btVector3 d1, d2, a;
+ float u, v, w, p, q, r;
+ float s, t, dist, dist2;
+ btVector3 witness2;
+
+ btMprVec3Sub2(&d1, B, x0);
+ btMprVec3Sub2(&d2, C, x0);
+ btMprVec3Sub2(&a, x0, P);
+
+ u = btMprVec3Dot(&a, &a);
+ v = btMprVec3Dot(&d1, &d1);
+ w = btMprVec3Dot(&d2, &d2);
+ p = btMprVec3Dot(&a, &d1);
+ q = btMprVec3Dot(&a, &d2);
+ r = btMprVec3Dot(&d1, &d2);
+
+ btScalar div = (w * v - r * r);
+ if (btMprIsZero(div))
+ {
+ s=-1;
+ } else
+ {
+ s = (q * r - w * p) / div;
+ t = (-s * r - q) / w;
+ }
+
+ if ((btMprIsZero(s) || s > 0.f)
+ && (btMprEq(s, 1.f) || s < 1.f)
+ && (btMprIsZero(t) || t > 0.f)
+ && (btMprEq(t, 1.f) || t < 1.f)
+ && (btMprEq(t + s, 1.f) || t + s < 1.f)){
+
+ if (witness){
+ btMprVec3Scale(&d1, s);
+ btMprVec3Scale(&d2, t);
+ btMprVec3Copy(witness, x0);
+ btMprVec3Add(witness, &d1);
+ btMprVec3Add(witness, &d2);
+
+ dist = btMprVec3Dist2(witness, P);
+ }else{
+ dist = s * s * v;
+ dist += t * t * w;
+ dist += 2.f * s * t * r;
+ dist += 2.f * s * p;
+ dist += 2.f * t * q;
+ dist += u;
+ }
+ }else{
+ dist = _btMprVec3PointSegmentDist2(P, x0, B, witness);
+
+ dist2 = _btMprVec3PointSegmentDist2(P, x0, C, &witness2);
+ if (dist2 < dist){
+ dist = dist2;
+ if (witness)
+ btMprVec3Copy(witness, &witness2);
+ }
+
+ dist2 = _btMprVec3PointSegmentDist2(P, B, C, &witness2);
+ if (dist2 < dist){
+ dist = dist2;
+ if (witness)
+ btMprVec3Copy(witness, &witness2);
+ }
+ }
+
+ return dist;
+}
+
+template <typename btConvexTemplate>
+static void btFindPenetr(const btConvexTemplate& a, const btConvexTemplate& b,
+ const btMprCollisionDescription& colDesc,
+ btMprSimplex_t *portal,
+ float *depth, btVector3 *pdir, btVector3 *pos)
+{
+ btVector3 dir;
+ btMprSupport_t v4;
+ unsigned long iterations;
+
+ btVector3 zero = btVector3(0,0,0);
+ btVector3* origin = &zero;
+
+
+ iterations = 1UL;
+ for (int i=0;i<BT_MPR_MAX_ITERATIONS;i++)
+ //while (1)
+ {
+ // compute portal direction and obtain next support point
+ btPortalDir(portal, &dir);
+
+ btMprSupport(a,b,colDesc, dir, &v4);
+
+
+ // reached tolerance -> find penetration info
+ if (portalReachTolerance(portal, &v4, &dir)
+ || iterations ==BT_MPR_MAX_ITERATIONS)
+ {
+ *depth = btMprVec3PointTriDist2(origin,&btMprSimplexPoint(portal, 1)->v,&btMprSimplexPoint(portal, 2)->v,&btMprSimplexPoint(portal, 3)->v,pdir);
+ *depth = BT_MPR_SQRT(*depth);
+
+ if (btMprIsZero((*pdir).x()) && btMprIsZero((*pdir).y()) && btMprIsZero((*pdir).z()))
+ {
+
+ *pdir = dir;
+ }
+ btMprVec3Normalize(pdir);
+
+ // barycentric coordinates:
+ btFindPos(portal, pos);
+
+
+ return;
+ }
+
+ btExpandPortal(portal, &v4);
+
+ iterations++;
+ }
+}
+
+static void btFindPenetrTouch(btMprSimplex_t *portal,float *depth, btVector3 *dir, btVector3 *pos)
+{
+ // Touching contact on portal's v1 - so depth is zero and direction
+ // is unimportant and pos can be guessed
+ *depth = 0.f;
+ btVector3 zero = btVector3(0,0,0);
+ btVector3* origin = &zero;
+
+
+ btMprVec3Copy(dir, origin);
+#ifdef MPR_AVERAGE_CONTACT_POSITIONS
+ btMprVec3Copy(pos, &btMprSimplexPoint(portal, 1)->v1);
+ btMprVec3Add(pos, &btMprSimplexPoint(portal, 1)->v2);
+ btMprVec3Scale(pos, 0.5);
+#else
+ btMprVec3Copy(pos, &btMprSimplexPoint(portal, 1)->v2);
+#endif
+}
+
+static void btFindPenetrSegment(btMprSimplex_t *portal,
+ float *depth, btVector3 *dir, btVector3 *pos)
+{
+
+ // Origin lies on v0-v1 segment.
+ // Depth is distance to v1, direction also and position must be
+ // computed
+#ifdef MPR_AVERAGE_CONTACT_POSITIONS
+ btMprVec3Copy(pos, &btMprSimplexPoint(portal, 1)->v1);
+ btMprVec3Add(pos, &btMprSimplexPoint(portal, 1)->v2);
+ btMprVec3Scale(pos, 0.5f);
+#else
+ btMprVec3Copy(pos, &btMprSimplexPoint(portal, 1)->v2);
+#endif//MPR_AVERAGE_CONTACT_POSITIONS
+
+ btMprVec3Copy(dir, &btMprSimplexPoint(portal, 1)->v);
+ *depth = BT_MPR_SQRT(btMprVec3Len2(dir));
+ btMprVec3Normalize(dir);
+
+
+}
+
+
+template <typename btConvexTemplate>
+inline int btMprPenetration( const btConvexTemplate& a, const btConvexTemplate& b,
+ const btMprCollisionDescription& colDesc,
+ float *depthOut, btVector3* dirOut, btVector3* posOut)
+{
+
+ btMprSimplex_t portal;
+
+
+ // Phase 1: Portal discovery
+ int result = btDiscoverPortal(a,b,colDesc, &portal);
+
+
+ //sepAxis[pairIndex] = *pdir;//or -dir?
+
+ switch (result)
+ {
+ case 0:
+ {
+ // Phase 2: Portal refinement
+
+ result = btRefinePortal(a,b,colDesc, &portal);
+ if (result < 0)
+ return -1;
+
+ // Phase 3. Penetration info
+ btFindPenetr(a,b,colDesc, &portal, depthOut, dirOut, posOut);
+
+
+ break;
+ }
+ case 1:
+ {
+ // Touching contact on portal's v1.
+ btFindPenetrTouch(&portal, depthOut, dirOut, posOut);
+ result=0;
+ break;
+ }
+ case 2:
+ {
+
+ btFindPenetrSegment( &portal, depthOut, dirOut, posOut);
+ result=0;
+ break;
+ }
+ default:
+ {
+ //if (res < 0)
+ //{
+ // Origin isn't inside portal - no collision.
+ result = -1;
+ //}
+ }
+ };
+
+ return result;
+};
+
+
+template<typename btConvexTemplate, typename btMprDistanceTemplate>
+inline int btComputeMprPenetration( const btConvexTemplate& a, const btConvexTemplate& b, const
+ btMprCollisionDescription& colDesc, btMprDistanceTemplate* distInfo)
+{
+ btVector3 dir,pos;
+ float depth;
+
+ int res = btMprPenetration(a,b,colDesc,&depth, &dir, &pos);
+ if (res==0)
+ {
+ distInfo->m_distance = -depth;
+ distInfo->m_pointOnB = pos;
+ distInfo->m_normalBtoA = -dir;
+ distInfo->m_pointOnA = pos-distInfo->m_distance*dir;
+ return 0;
+ }
+
+ return -1;
+}
+
+
+
+#endif //BT_MPR_PENETRATION_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.cpp
new file mode 100644
index 0000000000..23aaece22b
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.cpp
@@ -0,0 +1,308 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+
+#include "btPersistentManifold.h"
+#include "LinearMath/btTransform.h"
+
+
+btScalar gContactBreakingThreshold = btScalar(0.02);
+ContactDestroyedCallback gContactDestroyedCallback = 0;
+ContactProcessedCallback gContactProcessedCallback = 0;
+ContactStartedCallback gContactStartedCallback = 0;
+ContactEndedCallback gContactEndedCallback = 0;
+///gContactCalcArea3Points will approximate the convex hull area using 3 points
+///when setting it to false, it will use 4 points to compute the area: it is more accurate but slower
+bool gContactCalcArea3Points = true;
+
+
+btPersistentManifold::btPersistentManifold()
+:btTypedObject(BT_PERSISTENT_MANIFOLD_TYPE),
+m_body0(0),
+m_body1(0),
+m_cachedPoints (0),
+m_index1a(0)
+{
+}
+
+
+
+
+#ifdef DEBUG_PERSISTENCY
+#include <stdio.h>
+void btPersistentManifold::DebugPersistency()
+{
+ int i;
+ printf("DebugPersistency : numPoints %d\n",m_cachedPoints);
+ for (i=0;i<m_cachedPoints;i++)
+ {
+ printf("m_pointCache[%d].m_userPersistentData = %x\n",i,m_pointCache[i].m_userPersistentData);
+ }
+}
+#endif //DEBUG_PERSISTENCY
+
+void btPersistentManifold::clearUserCache(btManifoldPoint& pt)
+{
+
+ void* oldPtr = pt.m_userPersistentData;
+ if (oldPtr)
+ {
+#ifdef DEBUG_PERSISTENCY
+ int i;
+ int occurance = 0;
+ for (i=0;i<m_cachedPoints;i++)
+ {
+ if (m_pointCache[i].m_userPersistentData == oldPtr)
+ {
+ occurance++;
+ if (occurance>1)
+ printf("error in clearUserCache\n");
+ }
+ }
+ btAssert(occurance<=0);
+#endif //DEBUG_PERSISTENCY
+
+ if (pt.m_userPersistentData && gContactDestroyedCallback)
+ {
+ (*gContactDestroyedCallback)(pt.m_userPersistentData);
+ pt.m_userPersistentData = 0;
+ }
+
+#ifdef DEBUG_PERSISTENCY
+ DebugPersistency();
+#endif
+ }
+
+
+}
+
+static inline btScalar calcArea4Points(const btVector3 &p0,const btVector3 &p1,const btVector3 &p2,const btVector3 &p3)
+{
+ // It calculates possible 3 area constructed from random 4 points and returns the biggest one.
+
+ btVector3 a[3],b[3];
+ a[0] = p0 - p1;
+ a[1] = p0 - p2;
+ a[2] = p0 - p3;
+ b[0] = p2 - p3;
+ b[1] = p1 - p3;
+ b[2] = p1 - p2;
+
+ //todo: Following 3 cross production can be easily optimized by SIMD.
+ btVector3 tmp0 = a[0].cross(b[0]);
+ btVector3 tmp1 = a[1].cross(b[1]);
+ btVector3 tmp2 = a[2].cross(b[2]);
+
+ return btMax(btMax(tmp0.length2(),tmp1.length2()),tmp2.length2());
+}
+
+int btPersistentManifold::sortCachedPoints(const btManifoldPoint& pt)
+{
+ //calculate 4 possible cases areas, and take biggest area
+ //also need to keep 'deepest'
+
+ int maxPenetrationIndex = -1;
+#define KEEP_DEEPEST_POINT 1
+#ifdef KEEP_DEEPEST_POINT
+ btScalar maxPenetration = pt.getDistance();
+ for (int i=0;i<4;i++)
+ {
+ if (m_pointCache[i].getDistance() < maxPenetration)
+ {
+ maxPenetrationIndex = i;
+ maxPenetration = m_pointCache[i].getDistance();
+ }
+ }
+#endif //KEEP_DEEPEST_POINT
+
+ btScalar res0(btScalar(0.)),res1(btScalar(0.)),res2(btScalar(0.)),res3(btScalar(0.));
+
+ if (gContactCalcArea3Points)
+ {
+ if (maxPenetrationIndex != 0)
+ {
+ btVector3 a0 = pt.m_localPointA-m_pointCache[1].m_localPointA;
+ btVector3 b0 = m_pointCache[3].m_localPointA-m_pointCache[2].m_localPointA;
+ btVector3 cross = a0.cross(b0);
+ res0 = cross.length2();
+ }
+ if (maxPenetrationIndex != 1)
+ {
+ btVector3 a1 = pt.m_localPointA-m_pointCache[0].m_localPointA;
+ btVector3 b1 = m_pointCache[3].m_localPointA-m_pointCache[2].m_localPointA;
+ btVector3 cross = a1.cross(b1);
+ res1 = cross.length2();
+ }
+
+ if (maxPenetrationIndex != 2)
+ {
+ btVector3 a2 = pt.m_localPointA-m_pointCache[0].m_localPointA;
+ btVector3 b2 = m_pointCache[3].m_localPointA-m_pointCache[1].m_localPointA;
+ btVector3 cross = a2.cross(b2);
+ res2 = cross.length2();
+ }
+
+ if (maxPenetrationIndex != 3)
+ {
+ btVector3 a3 = pt.m_localPointA-m_pointCache[0].m_localPointA;
+ btVector3 b3 = m_pointCache[2].m_localPointA-m_pointCache[1].m_localPointA;
+ btVector3 cross = a3.cross(b3);
+ res3 = cross.length2();
+ }
+ }
+ else
+ {
+ if(maxPenetrationIndex != 0) {
+ res0 = calcArea4Points(pt.m_localPointA,m_pointCache[1].m_localPointA,m_pointCache[2].m_localPointA,m_pointCache[3].m_localPointA);
+ }
+
+ if(maxPenetrationIndex != 1) {
+ res1 = calcArea4Points(pt.m_localPointA,m_pointCache[0].m_localPointA,m_pointCache[2].m_localPointA,m_pointCache[3].m_localPointA);
+ }
+
+ if(maxPenetrationIndex != 2) {
+ res2 = calcArea4Points(pt.m_localPointA,m_pointCache[0].m_localPointA,m_pointCache[1].m_localPointA,m_pointCache[3].m_localPointA);
+ }
+
+ if(maxPenetrationIndex != 3) {
+ res3 = calcArea4Points(pt.m_localPointA,m_pointCache[0].m_localPointA,m_pointCache[1].m_localPointA,m_pointCache[2].m_localPointA);
+ }
+ }
+ btVector4 maxvec(res0,res1,res2,res3);
+ int biggestarea = maxvec.closestAxis4();
+ return biggestarea;
+
+}
+
+
+int btPersistentManifold::getCacheEntry(const btManifoldPoint& newPoint) const
+{
+ btScalar shortestDist = getContactBreakingThreshold() * getContactBreakingThreshold();
+ int size = getNumContacts();
+ int nearestPoint = -1;
+ for( int i = 0; i < size; i++ )
+ {
+ const btManifoldPoint &mp = m_pointCache[i];
+
+ btVector3 diffA = mp.m_localPointA- newPoint.m_localPointA;
+ const btScalar distToManiPoint = diffA.dot(diffA);
+ if( distToManiPoint < shortestDist )
+ {
+ shortestDist = distToManiPoint;
+ nearestPoint = i;
+ }
+ }
+ return nearestPoint;
+}
+
+int btPersistentManifold::addManifoldPoint(const btManifoldPoint& newPoint, bool isPredictive)
+{
+ if (!isPredictive)
+ {
+ btAssert(validContactDistance(newPoint));
+ }
+
+ int insertIndex = getNumContacts();
+ if (insertIndex == MANIFOLD_CACHE_SIZE)
+ {
+#if MANIFOLD_CACHE_SIZE >= 4
+ //sort cache so best points come first, based on area
+ insertIndex = sortCachedPoints(newPoint);
+#else
+ insertIndex = 0;
+#endif
+ clearUserCache(m_pointCache[insertIndex]);
+
+ } else
+ {
+ m_cachedPoints++;
+
+
+ }
+ if (insertIndex<0)
+ insertIndex=0;
+
+ btAssert(m_pointCache[insertIndex].m_userPersistentData==0);
+ m_pointCache[insertIndex] = newPoint;
+ return insertIndex;
+}
+
+btScalar btPersistentManifold::getContactBreakingThreshold() const
+{
+ return m_contactBreakingThreshold;
+}
+
+
+
+void btPersistentManifold::refreshContactPoints(const btTransform& trA,const btTransform& trB)
+{
+ int i;
+#ifdef DEBUG_PERSISTENCY
+ printf("refreshContactPoints posA = (%f,%f,%f) posB = (%f,%f,%f)\n",
+ trA.getOrigin().getX(),
+ trA.getOrigin().getY(),
+ trA.getOrigin().getZ(),
+ trB.getOrigin().getX(),
+ trB.getOrigin().getY(),
+ trB.getOrigin().getZ());
+#endif //DEBUG_PERSISTENCY
+ /// first refresh worldspace positions and distance
+ for (i=getNumContacts()-1;i>=0;i--)
+ {
+ btManifoldPoint &manifoldPoint = m_pointCache[i];
+ manifoldPoint.m_positionWorldOnA = trA( manifoldPoint.m_localPointA );
+ manifoldPoint.m_positionWorldOnB = trB( manifoldPoint.m_localPointB );
+ manifoldPoint.m_distance1 = (manifoldPoint.m_positionWorldOnA - manifoldPoint.m_positionWorldOnB).dot(manifoldPoint.m_normalWorldOnB);
+ manifoldPoint.m_lifeTime++;
+ }
+
+ /// then
+ btScalar distance2d;
+ btVector3 projectedDifference,projectedPoint;
+ for (i=getNumContacts()-1;i>=0;i--)
+ {
+
+ btManifoldPoint &manifoldPoint = m_pointCache[i];
+ //contact becomes invalid when signed distance exceeds margin (projected on contactnormal direction)
+ if (!validContactDistance(manifoldPoint))
+ {
+ removeContactPoint(i);
+ } else
+ {
+ //todo: friction anchor may require the contact to be around a bit longer
+ //contact also becomes invalid when relative movement orthogonal to normal exceeds margin
+ projectedPoint = manifoldPoint.m_positionWorldOnA - manifoldPoint.m_normalWorldOnB * manifoldPoint.m_distance1;
+ projectedDifference = manifoldPoint.m_positionWorldOnB - projectedPoint;
+ distance2d = projectedDifference.dot(projectedDifference);
+ if (distance2d > getContactBreakingThreshold()*getContactBreakingThreshold() )
+ {
+ removeContactPoint(i);
+ } else
+ {
+ //contact point processed callback
+ if (gContactProcessedCallback)
+ (*gContactProcessedCallback)(manifoldPoint,(void*)m_body0,(void*)m_body1);
+ }
+ }
+ }
+#ifdef DEBUG_PERSISTENCY
+ DebugPersistency();
+#endif //
+}
+
+
+
+
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.h
new file mode 100644
index 0000000000..f872c8e1c9
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPersistentManifold.h
@@ -0,0 +1,268 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_PERSISTENT_MANIFOLD_H
+#define BT_PERSISTENT_MANIFOLD_H
+
+
+#include "LinearMath/btVector3.h"
+#include "LinearMath/btTransform.h"
+#include "btManifoldPoint.h"
+class btCollisionObject;
+#include "LinearMath/btAlignedAllocator.h"
+
+struct btCollisionResult;
+
+///maximum contact breaking and merging threshold
+extern btScalar gContactBreakingThreshold;
+
+#ifndef SWIG
+class btPersistentManifold;
+
+typedef bool (*ContactDestroyedCallback)(void* userPersistentData);
+typedef bool (*ContactProcessedCallback)(btManifoldPoint& cp,void* body0,void* body1);
+typedef void (*ContactStartedCallback)(btPersistentManifold* const &manifold);
+typedef void (*ContactEndedCallback)(btPersistentManifold* const &manifold);
+extern ContactDestroyedCallback gContactDestroyedCallback;
+extern ContactProcessedCallback gContactProcessedCallback;
+extern ContactStartedCallback gContactStartedCallback;
+extern ContactEndedCallback gContactEndedCallback;
+#endif //SWIG
+
+//the enum starts at 1024 to avoid type conflicts with btTypedConstraint
+enum btContactManifoldTypes
+{
+ MIN_CONTACT_MANIFOLD_TYPE = 1024,
+ BT_PERSISTENT_MANIFOLD_TYPE
+};
+
+#define MANIFOLD_CACHE_SIZE 4
+
+///btPersistentManifold is a contact point cache, it stays persistent as long as objects are overlapping in the broadphase.
+///Those contact points are created by the collision narrow phase.
+///The cache can be empty, or hold 1,2,3 or 4 points. Some collision algorithms (GJK) might only add one point at a time.
+///updates/refreshes old contact points, and throw them away if necessary (distance becomes too large)
+///reduces the cache to 4 points, when more then 4 points are added, using following rules:
+///the contact point with deepest penetration is always kept, and it tries to maximuze the area covered by the points
+///note that some pairs of objects might have more then one contact manifold.
+
+
+//ATTRIBUTE_ALIGNED128( class) btPersistentManifold : public btTypedObject
+ATTRIBUTE_ALIGNED16( class) btPersistentManifold : public btTypedObject
+{
+
+ btManifoldPoint m_pointCache[MANIFOLD_CACHE_SIZE];
+
+ /// this two body pointers can point to the physics rigidbody class.
+ const btCollisionObject* m_body0;
+ const btCollisionObject* m_body1;
+
+ int m_cachedPoints;
+
+ btScalar m_contactBreakingThreshold;
+ btScalar m_contactProcessingThreshold;
+
+
+ /// sort cached points so most isolated points come first
+ int sortCachedPoints(const btManifoldPoint& pt);
+
+ int findContactPoint(const btManifoldPoint* unUsed, int numUnused,const btManifoldPoint& pt);
+
+public:
+
+ BT_DECLARE_ALIGNED_ALLOCATOR();
+
+ int m_companionIdA;
+ int m_companionIdB;
+
+ int m_index1a;
+
+ btPersistentManifold();
+
+ btPersistentManifold(const btCollisionObject* body0,const btCollisionObject* body1,int , btScalar contactBreakingThreshold,btScalar contactProcessingThreshold)
+ : btTypedObject(BT_PERSISTENT_MANIFOLD_TYPE),
+ m_body0(body0),m_body1(body1),m_cachedPoints(0),
+ m_contactBreakingThreshold(contactBreakingThreshold),
+ m_contactProcessingThreshold(contactProcessingThreshold)
+ {
+ }
+
+ SIMD_FORCE_INLINE const btCollisionObject* getBody0() const { return m_body0;}
+ SIMD_FORCE_INLINE const btCollisionObject* getBody1() const { return m_body1;}
+
+ void setBodies(const btCollisionObject* body0,const btCollisionObject* body1)
+ {
+ m_body0 = body0;
+ m_body1 = body1;
+ }
+
+ void clearUserCache(btManifoldPoint& pt);
+
+#ifdef DEBUG_PERSISTENCY
+ void DebugPersistency();
+#endif //
+
+ SIMD_FORCE_INLINE int getNumContacts() const { return m_cachedPoints;}
+ /// the setNumContacts API is usually not used, except when you gather/fill all contacts manually
+ void setNumContacts(int cachedPoints)
+ {
+ m_cachedPoints = cachedPoints;
+ }
+
+
+ SIMD_FORCE_INLINE const btManifoldPoint& getContactPoint(int index) const
+ {
+ btAssert(index < m_cachedPoints);
+ return m_pointCache[index];
+ }
+
+ SIMD_FORCE_INLINE btManifoldPoint& getContactPoint(int index)
+ {
+ btAssert(index < m_cachedPoints);
+ return m_pointCache[index];
+ }
+
+ ///@todo: get this margin from the current physics / collision environment
+ btScalar getContactBreakingThreshold() const;
+
+ btScalar getContactProcessingThreshold() const
+ {
+ return m_contactProcessingThreshold;
+ }
+
+ void setContactBreakingThreshold(btScalar contactBreakingThreshold)
+ {
+ m_contactBreakingThreshold = contactBreakingThreshold;
+ }
+
+ void setContactProcessingThreshold(btScalar contactProcessingThreshold)
+ {
+ m_contactProcessingThreshold = contactProcessingThreshold;
+ }
+
+
+
+
+ int getCacheEntry(const btManifoldPoint& newPoint) const;
+
+ int addManifoldPoint( const btManifoldPoint& newPoint, bool isPredictive=false);
+
+ void removeContactPoint (int index)
+ {
+ clearUserCache(m_pointCache[index]);
+
+ int lastUsedIndex = getNumContacts() - 1;
+// m_pointCache[index] = m_pointCache[lastUsedIndex];
+ if(index != lastUsedIndex)
+ {
+ m_pointCache[index] = m_pointCache[lastUsedIndex];
+ //get rid of duplicated userPersistentData pointer
+ m_pointCache[lastUsedIndex].m_userPersistentData = 0;
+ m_pointCache[lastUsedIndex].m_appliedImpulse = 0.f;
+ m_pointCache[lastUsedIndex].m_contactPointFlags = 0;
+ m_pointCache[lastUsedIndex].m_appliedImpulseLateral1 = 0.f;
+ m_pointCache[lastUsedIndex].m_appliedImpulseLateral2 = 0.f;
+ m_pointCache[lastUsedIndex].m_lifeTime = 0;
+ }
+
+ btAssert(m_pointCache[lastUsedIndex].m_userPersistentData==0);
+ m_cachedPoints--;
+
+ if (gContactEndedCallback && m_cachedPoints == 0)
+ {
+ gContactEndedCallback(this);
+ }
+ }
+ void replaceContactPoint(const btManifoldPoint& newPoint, int insertIndex)
+ {
+ btAssert(validContactDistance(newPoint));
+
+#define MAINTAIN_PERSISTENCY 1
+#ifdef MAINTAIN_PERSISTENCY
+ int lifeTime = m_pointCache[insertIndex].getLifeTime();
+ btScalar appliedImpulse = m_pointCache[insertIndex].m_appliedImpulse;
+ btScalar appliedLateralImpulse1 = m_pointCache[insertIndex].m_appliedImpulseLateral1;
+ btScalar appliedLateralImpulse2 = m_pointCache[insertIndex].m_appliedImpulseLateral2;
+
+ bool replacePoint = true;
+ ///we keep existing contact points for friction anchors
+ ///if the friction force is within the Coulomb friction cone
+ if (newPoint.m_contactPointFlags & BT_CONTACT_FLAG_FRICTION_ANCHOR)
+ {
+ // printf("appliedImpulse=%f\n", appliedImpulse);
+ // printf("appliedLateralImpulse1=%f\n", appliedLateralImpulse1);
+ // printf("appliedLateralImpulse2=%f\n", appliedLateralImpulse2);
+ // printf("mu = %f\n", m_pointCache[insertIndex].m_combinedFriction);
+ btScalar mu = m_pointCache[insertIndex].m_combinedFriction;
+ btScalar eps = 0; //we could allow to enlarge or shrink the tolerance to check against the friction cone a bit, say 1e-7
+ btScalar a = appliedLateralImpulse1 * appliedLateralImpulse1 + appliedLateralImpulse2 * appliedLateralImpulse2;
+ btScalar b = eps + mu * appliedImpulse;
+ b = b * b;
+ replacePoint = (a) > (b);
+ }
+
+ if (replacePoint)
+ {
+ btAssert(lifeTime >= 0);
+ void* cache = m_pointCache[insertIndex].m_userPersistentData;
+
+ m_pointCache[insertIndex] = newPoint;
+ m_pointCache[insertIndex].m_userPersistentData = cache;
+ m_pointCache[insertIndex].m_appliedImpulse = appliedImpulse;
+ m_pointCache[insertIndex].m_appliedImpulseLateral1 = appliedLateralImpulse1;
+ m_pointCache[insertIndex].m_appliedImpulseLateral2 = appliedLateralImpulse2;
+ }
+
+ m_pointCache[insertIndex].m_lifeTime = lifeTime;
+#else
+ clearUserCache(m_pointCache[insertIndex]);
+ m_pointCache[insertIndex] = newPoint;
+
+#endif
+ }
+
+ bool validContactDistance(const btManifoldPoint& pt) const
+ {
+ return pt.m_distance1 <= getContactBreakingThreshold();
+ }
+ /// calculated new worldspace coordinates and depth, and reject points that exceed the collision margin
+ void refreshContactPoints( const btTransform& trA,const btTransform& trB);
+
+
+ SIMD_FORCE_INLINE void clearManifold()
+ {
+ int i;
+ for (i=0;i<m_cachedPoints;i++)
+ {
+ clearUserCache(m_pointCache[i]);
+ }
+
+ if (gContactEndedCallback && m_cachedPoints)
+ {
+ gContactEndedCallback(this);
+ }
+ m_cachedPoints = 0;
+ }
+
+
+
+}
+;
+
+
+
+
+
+#endif //BT_PERSISTENT_MANIFOLD_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPointCollector.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPointCollector.h
new file mode 100644
index 0000000000..18da171011
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPointCollector.h
@@ -0,0 +1,64 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_POINT_COLLECTOR_H
+#define BT_POINT_COLLECTOR_H
+
+#include "btDiscreteCollisionDetectorInterface.h"
+
+
+
+struct btPointCollector : public btDiscreteCollisionDetectorInterface::Result
+{
+
+
+ btVector3 m_normalOnBInWorld;
+ btVector3 m_pointInWorld;
+ btScalar m_distance;//negative means penetration
+
+ bool m_hasResult;
+
+ btPointCollector ()
+ : m_distance(btScalar(BT_LARGE_FLOAT)),m_hasResult(false)
+ {
+ }
+
+ virtual void setShapeIdentifiersA(int partId0,int index0)
+ {
+ (void)partId0;
+ (void)index0;
+
+ }
+ virtual void setShapeIdentifiersB(int partId1,int index1)
+ {
+ (void)partId1;
+ (void)index1;
+ }
+
+ virtual void addContactPoint(const btVector3& normalOnBInWorld,const btVector3& pointInWorld,btScalar depth)
+ {
+ if (depth< m_distance)
+ {
+ m_hasResult = true;
+ m_normalOnBInWorld = normalOnBInWorld;
+ m_pointInWorld = pointInWorld;
+ //negative means penetration
+ m_distance = depth;
+ }
+ }
+};
+
+#endif //BT_POINT_COLLECTOR_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.cpp
new file mode 100644
index 0000000000..ea380bc5f1
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.cpp
@@ -0,0 +1,570 @@
+/*
+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.
+*/
+
+
+///This file was written by Erwin Coumans
+///Separating axis rest based on work from Pierre Terdiman, see
+///And contact clipping based on work from Simon Hobbs
+
+
+#include "btPolyhedralContactClipping.h"
+#include "BulletCollision/CollisionShapes/btConvexPolyhedron.h"
+
+#include <float.h> //for FLT_MAX
+
+int gExpectedNbTests=0;
+int gActualNbTests = 0;
+bool gUseInternalObject = true;
+
+// Clips a face to the back of a plane
+void btPolyhedralContactClipping::clipFace(const btVertexArray& pVtxIn, btVertexArray& ppVtxOut, const btVector3& planeNormalWS,btScalar planeEqWS)
+{
+
+ int ve;
+ btScalar ds, de;
+ int numVerts = pVtxIn.size();
+ if (numVerts < 2)
+ return;
+
+ btVector3 firstVertex=pVtxIn[pVtxIn.size()-1];
+ btVector3 endVertex = pVtxIn[0];
+
+ ds = planeNormalWS.dot(firstVertex)+planeEqWS;
+
+ for (ve = 0; ve < numVerts; ve++)
+ {
+ endVertex=pVtxIn[ve];
+
+ de = planeNormalWS.dot(endVertex)+planeEqWS;
+
+ if (ds<0)
+ {
+ if (de<0)
+ {
+ // Start < 0, end < 0, so output endVertex
+ ppVtxOut.push_back(endVertex);
+ }
+ else
+ {
+ // Start < 0, end >= 0, so output intersection
+ ppVtxOut.push_back( firstVertex.lerp(endVertex,btScalar(ds * 1.f/(ds - de))));
+ }
+ }
+ else
+ {
+ if (de<0)
+ {
+ // Start >= 0, end < 0 so output intersection and end
+ ppVtxOut.push_back(firstVertex.lerp(endVertex,btScalar(ds * 1.f/(ds - de))));
+ ppVtxOut.push_back(endVertex);
+ }
+ }
+ firstVertex = endVertex;
+ ds = de;
+ }
+}
+
+
+static bool TestSepAxis(const btConvexPolyhedron& hullA, const btConvexPolyhedron& hullB, const btTransform& transA,const btTransform& transB, const btVector3& sep_axis, btScalar& depth, btVector3& witnessPointA, btVector3& witnessPointB)
+{
+ btScalar Min0,Max0;
+ btScalar Min1,Max1;
+ btVector3 witnesPtMinA,witnesPtMaxA;
+ btVector3 witnesPtMinB,witnesPtMaxB;
+
+ hullA.project(transA,sep_axis, Min0, Max0,witnesPtMinA,witnesPtMaxA);
+ hullB.project(transB, sep_axis, Min1, Max1,witnesPtMinB,witnesPtMaxB);
+
+ if(Max0<Min1 || Max1<Min0)
+ return false;
+
+ btScalar d0 = Max0 - Min1;
+ btAssert(d0>=0.0f);
+ btScalar d1 = Max1 - Min0;
+ btAssert(d1>=0.0f);
+ if (d0<d1)
+ {
+ depth = d0;
+ witnessPointA = witnesPtMaxA;
+ witnessPointB = witnesPtMinB;
+
+ } else
+ {
+ depth = d1;
+ witnessPointA = witnesPtMinA;
+ witnessPointB = witnesPtMaxB;
+ }
+
+ return true;
+}
+
+
+
+static int gActualSATPairTests=0;
+
+inline bool IsAlmostZero(const btVector3& v)
+{
+ if(btFabs(v.x())>1e-6 || btFabs(v.y())>1e-6 || btFabs(v.z())>1e-6) return false;
+ return true;
+}
+
+#ifdef TEST_INTERNAL_OBJECTS
+
+inline void BoxSupport(const btScalar extents[3], const btScalar sv[3], btScalar p[3])
+{
+ // This version is ~11.000 cycles (4%) faster overall in one of the tests.
+// IR(p[0]) = IR(extents[0])|(IR(sv[0])&SIGN_BITMASK);
+// IR(p[1]) = IR(extents[1])|(IR(sv[1])&SIGN_BITMASK);
+// IR(p[2]) = IR(extents[2])|(IR(sv[2])&SIGN_BITMASK);
+ p[0] = sv[0] < 0.0f ? -extents[0] : extents[0];
+ p[1] = sv[1] < 0.0f ? -extents[1] : extents[1];
+ p[2] = sv[2] < 0.0f ? -extents[2] : extents[2];
+}
+
+void InverseTransformPoint3x3(btVector3& out, const btVector3& in, const btTransform& tr)
+{
+ const btMatrix3x3& rot = tr.getBasis();
+ const btVector3& r0 = rot[0];
+ const btVector3& r1 = rot[1];
+ const btVector3& r2 = rot[2];
+
+ const btScalar x = r0.x()*in.x() + r1.x()*in.y() + r2.x()*in.z();
+ const btScalar y = r0.y()*in.x() + r1.y()*in.y() + r2.y()*in.z();
+ const btScalar z = r0.z()*in.x() + r1.z()*in.y() + r2.z()*in.z();
+
+ out.setValue(x, y, z);
+}
+
+ bool TestInternalObjects( const btTransform& trans0, const btTransform& trans1, const btVector3& delta_c, const btVector3& axis, const btConvexPolyhedron& convex0, const btConvexPolyhedron& convex1, btScalar dmin)
+{
+ const btScalar dp = delta_c.dot(axis);
+
+ btVector3 localAxis0;
+ InverseTransformPoint3x3(localAxis0, axis,trans0);
+ btVector3 localAxis1;
+ InverseTransformPoint3x3(localAxis1, axis,trans1);
+
+ btScalar p0[3];
+ BoxSupport(convex0.m_extents, localAxis0, p0);
+ btScalar p1[3];
+ BoxSupport(convex1.m_extents, localAxis1, p1);
+
+ const btScalar Radius0 = p0[0]*localAxis0.x() + p0[1]*localAxis0.y() + p0[2]*localAxis0.z();
+ const btScalar Radius1 = p1[0]*localAxis1.x() + p1[1]*localAxis1.y() + p1[2]*localAxis1.z();
+
+ const btScalar MinRadius = Radius0>convex0.m_radius ? Radius0 : convex0.m_radius;
+ const btScalar MaxRadius = Radius1>convex1.m_radius ? Radius1 : convex1.m_radius;
+
+ const btScalar MinMaxRadius = MaxRadius + MinRadius;
+ const btScalar d0 = MinMaxRadius + dp;
+ const btScalar d1 = MinMaxRadius - dp;
+
+ const btScalar depth = d0<d1 ? d0:d1;
+ if(depth>dmin)
+ return false;
+ return true;
+}
+#endif //TEST_INTERNAL_OBJECTS
+
+
+
+ SIMD_FORCE_INLINE void btSegmentsClosestPoints(
+ btVector3& ptsVector,
+ btVector3& offsetA,
+ btVector3& offsetB,
+ btScalar& tA, btScalar& tB,
+ const btVector3& translation,
+ const btVector3& dirA, btScalar hlenA,
+ const btVector3& dirB, btScalar hlenB )
+{
+ // compute the parameters of the closest points on each line segment
+
+ btScalar dirA_dot_dirB = btDot(dirA,dirB);
+ btScalar dirA_dot_trans = btDot(dirA,translation);
+ btScalar dirB_dot_trans = btDot(dirB,translation);
+
+ btScalar denom = 1.0f - dirA_dot_dirB * dirA_dot_dirB;
+
+ if ( denom == 0.0f ) {
+ tA = 0.0f;
+ } else {
+ tA = ( dirA_dot_trans - dirB_dot_trans * dirA_dot_dirB ) / denom;
+ if ( tA < -hlenA )
+ tA = -hlenA;
+ else if ( tA > hlenA )
+ tA = hlenA;
+ }
+
+ tB = tA * dirA_dot_dirB - dirB_dot_trans;
+
+ if ( tB < -hlenB ) {
+ tB = -hlenB;
+ tA = tB * dirA_dot_dirB + dirA_dot_trans;
+
+ if ( tA < -hlenA )
+ tA = -hlenA;
+ else if ( tA > hlenA )
+ tA = hlenA;
+ } else if ( tB > hlenB ) {
+ tB = hlenB;
+ tA = tB * dirA_dot_dirB + dirA_dot_trans;
+
+ if ( tA < -hlenA )
+ tA = -hlenA;
+ else if ( tA > hlenA )
+ tA = hlenA;
+ }
+
+ // compute the closest points relative to segment centers.
+
+ offsetA = dirA * tA;
+ offsetB = dirB * tB;
+
+ ptsVector = translation - offsetA + offsetB;
+}
+
+
+
+bool btPolyhedralContactClipping::findSeparatingAxis( const btConvexPolyhedron& hullA, const btConvexPolyhedron& hullB, const btTransform& transA,const btTransform& transB, btVector3& sep, btDiscreteCollisionDetectorInterface::Result& resultOut)
+{
+ gActualSATPairTests++;
+
+//#ifdef TEST_INTERNAL_OBJECTS
+ const btVector3 c0 = transA * hullA.m_localCenter;
+ const btVector3 c1 = transB * hullB.m_localCenter;
+ const btVector3 DeltaC2 = c0 - c1;
+//#endif
+
+ btScalar dmin = FLT_MAX;
+ int curPlaneTests=0;
+
+ int numFacesA = hullA.m_faces.size();
+ // Test normals from hullA
+ for(int i=0;i<numFacesA;i++)
+ {
+ const btVector3 Normal(hullA.m_faces[i].m_plane[0], hullA.m_faces[i].m_plane[1], hullA.m_faces[i].m_plane[2]);
+ btVector3 faceANormalWS = transA.getBasis() * Normal;
+ if (DeltaC2.dot(faceANormalWS)<0)
+ faceANormalWS*=-1.f;
+
+ curPlaneTests++;
+#ifdef TEST_INTERNAL_OBJECTS
+ gExpectedNbTests++;
+ if(gUseInternalObject && !TestInternalObjects(transA,transB, DeltaC2, faceANormalWS, hullA, hullB, dmin))
+ continue;
+ gActualNbTests++;
+#endif
+
+ btScalar d;
+ btVector3 wA,wB;
+ if(!TestSepAxis( hullA, hullB, transA,transB, faceANormalWS, d,wA,wB))
+ return false;
+
+ if(d<dmin)
+ {
+ dmin = d;
+ sep = faceANormalWS;
+ }
+ }
+
+ int numFacesB = hullB.m_faces.size();
+ // Test normals from hullB
+ for(int i=0;i<numFacesB;i++)
+ {
+ const btVector3 Normal(hullB.m_faces[i].m_plane[0], hullB.m_faces[i].m_plane[1], hullB.m_faces[i].m_plane[2]);
+ btVector3 WorldNormal = transB.getBasis() * Normal;
+ if (DeltaC2.dot(WorldNormal)<0)
+ WorldNormal *=-1.f;
+
+ curPlaneTests++;
+#ifdef TEST_INTERNAL_OBJECTS
+ gExpectedNbTests++;
+ if(gUseInternalObject && !TestInternalObjects(transA,transB,DeltaC2, WorldNormal, hullA, hullB, dmin))
+ continue;
+ gActualNbTests++;
+#endif
+
+ btScalar d;
+ btVector3 wA,wB;
+ if(!TestSepAxis(hullA, hullB,transA,transB, WorldNormal,d,wA,wB))
+ return false;
+
+ if(d<dmin)
+ {
+ dmin = d;
+ sep = WorldNormal;
+ }
+ }
+
+ btVector3 edgeAstart,edgeAend,edgeBstart,edgeBend;
+ int edgeA=-1;
+ int edgeB=-1;
+ btVector3 worldEdgeA;
+ btVector3 worldEdgeB;
+ btVector3 witnessPointA(0,0,0),witnessPointB(0,0,0);
+
+
+ int curEdgeEdge = 0;
+ // Test edges
+ for(int e0=0;e0<hullA.m_uniqueEdges.size();e0++)
+ {
+ const btVector3 edge0 = hullA.m_uniqueEdges[e0];
+ const btVector3 WorldEdge0 = transA.getBasis() * edge0;
+ for(int e1=0;e1<hullB.m_uniqueEdges.size();e1++)
+ {
+ const btVector3 edge1 = hullB.m_uniqueEdges[e1];
+ const btVector3 WorldEdge1 = transB.getBasis() * edge1;
+
+ btVector3 Cross = WorldEdge0.cross(WorldEdge1);
+ curEdgeEdge++;
+ if(!IsAlmostZero(Cross))
+ {
+ Cross = Cross.normalize();
+ if (DeltaC2.dot(Cross)<0)
+ Cross *= -1.f;
+
+
+#ifdef TEST_INTERNAL_OBJECTS
+ gExpectedNbTests++;
+ if(gUseInternalObject && !TestInternalObjects(transA,transB,DeltaC2, Cross, hullA, hullB, dmin))
+ continue;
+ gActualNbTests++;
+#endif
+
+ btScalar dist;
+ btVector3 wA,wB;
+ if(!TestSepAxis( hullA, hullB, transA,transB, Cross, dist,wA,wB))
+ return false;
+
+ if(dist<dmin)
+ {
+ dmin = dist;
+ sep = Cross;
+ edgeA=e0;
+ edgeB=e1;
+ worldEdgeA = WorldEdge0;
+ worldEdgeB = WorldEdge1;
+ witnessPointA=wA;
+ witnessPointB=wB;
+ }
+ }
+ }
+
+ }
+
+ if (edgeA>=0&&edgeB>=0)
+ {
+// printf("edge-edge\n");
+ //add an edge-edge contact
+
+ btVector3 ptsVector;
+ btVector3 offsetA;
+ btVector3 offsetB;
+ btScalar tA;
+ btScalar tB;
+
+ btVector3 translation = witnessPointB-witnessPointA;
+
+ btVector3 dirA = worldEdgeA;
+ btVector3 dirB = worldEdgeB;
+
+ btScalar hlenB = 1e30f;
+ btScalar hlenA = 1e30f;
+
+ btSegmentsClosestPoints(ptsVector,offsetA,offsetB,tA,tB,
+ translation,
+ dirA, hlenA,
+ dirB,hlenB);
+
+ btScalar nlSqrt = ptsVector.length2();
+ if (nlSqrt>SIMD_EPSILON)
+ {
+ btScalar nl = btSqrt(nlSqrt);
+ ptsVector *= 1.f/nl;
+ if (ptsVector.dot(DeltaC2)<0.f)
+ {
+ ptsVector*=-1.f;
+ }
+ btVector3 ptOnB = witnessPointB + offsetB;
+ btScalar distance = nl;
+ resultOut.addContactPoint(ptsVector, ptOnB,-distance);
+ }
+
+ }
+
+
+ if((DeltaC2.dot(sep))<0.0f)
+ sep = -sep;
+
+ return true;
+}
+
+void btPolyhedralContactClipping::clipFaceAgainstHull(const btVector3& separatingNormal, const btConvexPolyhedron& hullA, const btTransform& transA, btVertexArray& worldVertsB1,btVertexArray& worldVertsB2, const btScalar minDist, btScalar maxDist,btDiscreteCollisionDetectorInterface::Result& resultOut)
+{
+ worldVertsB2.resize(0);
+ btVertexArray* pVtxIn = &worldVertsB1;
+ btVertexArray* pVtxOut = &worldVertsB2;
+ pVtxOut->reserve(pVtxIn->size());
+
+ int closestFaceA=-1;
+ {
+ btScalar dmin = FLT_MAX;
+ for(int face=0;face<hullA.m_faces.size();face++)
+ {
+ const btVector3 Normal(hullA.m_faces[face].m_plane[0], hullA.m_faces[face].m_plane[1], hullA.m_faces[face].m_plane[2]);
+ const btVector3 faceANormalWS = transA.getBasis() * Normal;
+
+ btScalar d = faceANormalWS.dot(separatingNormal);
+ if (d < dmin)
+ {
+ dmin = d;
+ closestFaceA = face;
+ }
+ }
+ }
+ if (closestFaceA<0)
+ return;
+
+ const btFace& polyA = hullA.m_faces[closestFaceA];
+
+ // clip polygon to back of planes of all faces of hull A that are adjacent to witness face
+ int numVerticesA = polyA.m_indices.size();
+ for(int e0=0;e0<numVerticesA;e0++)
+ {
+ const btVector3& a = hullA.m_vertices[polyA.m_indices[e0]];
+ const btVector3& b = hullA.m_vertices[polyA.m_indices[(e0+1)%numVerticesA]];
+ const btVector3 edge0 = a - b;
+ const btVector3 WorldEdge0 = transA.getBasis() * edge0;
+ btVector3 worldPlaneAnormal1 = transA.getBasis()* btVector3(polyA.m_plane[0],polyA.m_plane[1],polyA.m_plane[2]);
+
+ btVector3 planeNormalWS1 = -WorldEdge0.cross(worldPlaneAnormal1);//.cross(WorldEdge0);
+ btVector3 worldA1 = transA*a;
+ btScalar planeEqWS1 = -worldA1.dot(planeNormalWS1);
+
+//int otherFace=0;
+#ifdef BLA1
+ int otherFace = polyA.m_connectedFaces[e0];
+ btVector3 localPlaneNormal (hullA.m_faces[otherFace].m_plane[0],hullA.m_faces[otherFace].m_plane[1],hullA.m_faces[otherFace].m_plane[2]);
+ btScalar localPlaneEq = hullA.m_faces[otherFace].m_plane[3];
+
+ btVector3 planeNormalWS = transA.getBasis()*localPlaneNormal;
+ btScalar planeEqWS=localPlaneEq-planeNormalWS.dot(transA.getOrigin());
+#else
+ btVector3 planeNormalWS = planeNormalWS1;
+ btScalar planeEqWS=planeEqWS1;
+
+#endif
+ //clip face
+
+ clipFace(*pVtxIn, *pVtxOut,planeNormalWS,planeEqWS);
+ btSwap(pVtxIn,pVtxOut);
+ pVtxOut->resize(0);
+ }
+
+
+
+//#define ONLY_REPORT_DEEPEST_POINT
+
+ btVector3 point;
+
+
+ // only keep points that are behind the witness face
+ {
+ btVector3 localPlaneNormal (polyA.m_plane[0],polyA.m_plane[1],polyA.m_plane[2]);
+ btScalar localPlaneEq = polyA.m_plane[3];
+ btVector3 planeNormalWS = transA.getBasis()*localPlaneNormal;
+ btScalar planeEqWS=localPlaneEq-planeNormalWS.dot(transA.getOrigin());
+ for (int i=0;i<pVtxIn->size();i++)
+ {
+ btVector3 vtx = pVtxIn->at(i);
+ btScalar depth = planeNormalWS.dot(vtx)+planeEqWS;
+ if (depth <=minDist)
+ {
+// printf("clamped: depth=%f to minDist=%f\n",depth,minDist);
+ depth = minDist;
+ }
+
+ if (depth <=maxDist)
+ {
+ btVector3 point = pVtxIn->at(i);
+#ifdef ONLY_REPORT_DEEPEST_POINT
+ curMaxDist = depth;
+#else
+#if 0
+ if (depth<-3)
+ {
+ printf("error in btPolyhedralContactClipping depth = %f\n", depth);
+ printf("likely wrong separatingNormal passed in\n");
+ }
+#endif
+ resultOut.addContactPoint(separatingNormal,point,depth);
+#endif
+ }
+ }
+ }
+#ifdef ONLY_REPORT_DEEPEST_POINT
+ if (curMaxDist<maxDist)
+ {
+ resultOut.addContactPoint(separatingNormal,point,curMaxDist);
+ }
+#endif //ONLY_REPORT_DEEPEST_POINT
+
+}
+
+
+
+
+
+void btPolyhedralContactClipping::clipHullAgainstHull(const btVector3& separatingNormal1, const btConvexPolyhedron& hullA, const btConvexPolyhedron& hullB, const btTransform& transA,const btTransform& transB, const btScalar minDist, btScalar maxDist,btVertexArray& worldVertsB1,btVertexArray& worldVertsB2,btDiscreteCollisionDetectorInterface::Result& resultOut)
+{
+
+ btVector3 separatingNormal = separatingNormal1.normalized();
+// const btVector3 c0 = transA * hullA.m_localCenter;
+// const btVector3 c1 = transB * hullB.m_localCenter;
+ //const btVector3 DeltaC2 = c0 - c1;
+
+
+
+ int closestFaceB=-1;
+ btScalar dmax = -FLT_MAX;
+ {
+ for(int face=0;face<hullB.m_faces.size();face++)
+ {
+ const btVector3 Normal(hullB.m_faces[face].m_plane[0], hullB.m_faces[face].m_plane[1], hullB.m_faces[face].m_plane[2]);
+ const btVector3 WorldNormal = transB.getBasis() * Normal;
+ btScalar d = WorldNormal.dot(separatingNormal);
+ if (d > dmax)
+ {
+ dmax = d;
+ closestFaceB = face;
+ }
+ }
+ }
+ worldVertsB1.resize(0);
+ {
+ const btFace& polyB = hullB.m_faces[closestFaceB];
+ const int numVertices = polyB.m_indices.size();
+ for(int e0=0;e0<numVertices;e0++)
+ {
+ const btVector3& b = hullB.m_vertices[polyB.m_indices[e0]];
+ worldVertsB1.push_back(transB*b);
+ }
+ }
+
+
+ if (closestFaceB>=0)
+ clipFaceAgainstHull(separatingNormal, hullA, transA,worldVertsB1, worldVertsB2,minDist, maxDist,resultOut);
+
+}
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.h
new file mode 100644
index 0000000000..30e3db687b
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btPolyhedralContactClipping.h
@@ -0,0 +1,49 @@
+/*
+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.
+*/
+
+
+///This file was written by Erwin Coumans
+
+
+#ifndef BT_POLYHEDRAL_CONTACT_CLIPPING_H
+#define BT_POLYHEDRAL_CONTACT_CLIPPING_H
+
+
+#include "LinearMath/btAlignedObjectArray.h"
+#include "LinearMath/btTransform.h"
+#include "btDiscreteCollisionDetectorInterface.h"
+
+class btConvexPolyhedron;
+
+typedef btAlignedObjectArray<btVector3> btVertexArray;
+
+// Clips a face to the back of a plane
+struct btPolyhedralContactClipping
+{
+
+ static void clipHullAgainstHull(const btVector3& separatingNormal1, const btConvexPolyhedron& hullA, const btConvexPolyhedron& hullB, const btTransform& transA,const btTransform& transB, const btScalar minDist, btScalar maxDist,btVertexArray& worldVertsB1,btVertexArray& worldVertsB2,btDiscreteCollisionDetectorInterface::Result& resultOut);
+
+ static void clipFaceAgainstHull(const btVector3& separatingNormal, const btConvexPolyhedron& hullA, const btTransform& transA, btVertexArray& worldVertsB1,btVertexArray& worldVertsB2, const btScalar minDist, btScalar maxDist,btDiscreteCollisionDetectorInterface::Result& resultOut);
+
+
+ static bool findSeparatingAxis( const btConvexPolyhedron& hullA, const btConvexPolyhedron& hullB, const btTransform& transA,const btTransform& transB, btVector3& sep, btDiscreteCollisionDetectorInterface::Result& resultOut);
+
+ ///the clipFace method is used internally
+ static void clipFace(const btVertexArray& pVtxIn, btVertexArray& ppVtxOut, const btVector3& planeNormalWS,btScalar planeEqWS);
+
+};
+
+#endif // BT_POLYHEDRAL_CONTACT_CLIPPING_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.cpp
new file mode 100644
index 0000000000..786efd1820
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.cpp
@@ -0,0 +1,178 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+//#include <stdio.h>
+
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+#include "BulletCollision/CollisionShapes/btTriangleShape.h"
+#include "BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.h"
+#include "BulletCollision/NarrowPhaseCollision/btGjkConvexCast.h"
+#include "BulletCollision/NarrowPhaseCollision/btContinuousConvexCollision.h"
+#include "BulletCollision/NarrowPhaseCollision/btGjkEpaPenetrationDepthSolver.h"
+#include "btRaycastCallback.h"
+
+btTriangleRaycastCallback::btTriangleRaycastCallback(const btVector3& from,const btVector3& to, unsigned int flags)
+ :
+ m_from(from),
+ m_to(to),
+ //@BP Mod
+ m_flags(flags),
+ m_hitFraction(btScalar(1.))
+{
+
+}
+
+
+
+void btTriangleRaycastCallback::processTriangle(btVector3* triangle,int partId, int triangleIndex)
+{
+ const btVector3 &vert0=triangle[0];
+ const btVector3 &vert1=triangle[1];
+ const btVector3 &vert2=triangle[2];
+
+ btVector3 v10; v10 = vert1 - vert0 ;
+ btVector3 v20; v20 = vert2 - vert0 ;
+
+ btVector3 triangleNormal; triangleNormal = v10.cross( v20 );
+
+ const btScalar dist = vert0.dot(triangleNormal);
+ btScalar dist_a = triangleNormal.dot(m_from) ;
+ dist_a-= dist;
+ btScalar dist_b = triangleNormal.dot(m_to);
+ dist_b -= dist;
+
+ if ( dist_a * dist_b >= btScalar(0.0) )
+ {
+ return ; // same sign
+ }
+
+ if (((m_flags & kF_FilterBackfaces) != 0) && (dist_a <= btScalar(0.0)))
+ {
+ // Backface, skip check
+ return;
+ }
+
+
+ const btScalar proj_length=dist_a-dist_b;
+ const btScalar distance = (dist_a)/(proj_length);
+ // Now we have the intersection point on the plane, we'll see if it's inside the triangle
+ // Add an epsilon as a tolerance for the raycast,
+ // in case the ray hits exacly on the edge of the triangle.
+ // It must be scaled for the triangle size.
+
+ if(distance < m_hitFraction)
+ {
+
+
+ btScalar edge_tolerance =triangleNormal.length2();
+ edge_tolerance *= btScalar(-0.0001);
+ btVector3 point; point.setInterpolate3( m_from, m_to, distance);
+ {
+ btVector3 v0p; v0p = vert0 - point;
+ btVector3 v1p; v1p = vert1 - point;
+ btVector3 cp0; cp0 = v0p.cross( v1p );
+
+ if ( (btScalar)(cp0.dot(triangleNormal)) >=edge_tolerance)
+ {
+
+
+ btVector3 v2p; v2p = vert2 - point;
+ btVector3 cp1;
+ cp1 = v1p.cross( v2p);
+ if ( (btScalar)(cp1.dot(triangleNormal)) >=edge_tolerance)
+ {
+ btVector3 cp2;
+ cp2 = v2p.cross(v0p);
+
+ if ( (btScalar)(cp2.dot(triangleNormal)) >=edge_tolerance)
+ {
+ //@BP Mod
+ // Triangle normal isn't normalized
+ triangleNormal.normalize();
+
+ //@BP Mod - Allow for unflipped normal when raycasting against backfaces
+ if (((m_flags & kF_KeepUnflippedNormal) == 0) && (dist_a <= btScalar(0.0)))
+ {
+ m_hitFraction = reportHit(-triangleNormal,distance,partId,triangleIndex);
+ }
+ else
+ {
+ m_hitFraction = reportHit(triangleNormal,distance,partId,triangleIndex);
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+
+btTriangleConvexcastCallback::btTriangleConvexcastCallback (const btConvexShape* convexShape, const btTransform& convexShapeFrom, const btTransform& convexShapeTo, const btTransform& triangleToWorld, const btScalar triangleCollisionMargin)
+{
+ m_convexShape = convexShape;
+ m_convexShapeFrom = convexShapeFrom;
+ m_convexShapeTo = convexShapeTo;
+ m_triangleToWorld = triangleToWorld;
+ m_hitFraction = 1.0f;
+ m_triangleCollisionMargin = triangleCollisionMargin;
+ m_allowedPenetration = 0.f;
+}
+
+void
+btTriangleConvexcastCallback::processTriangle (btVector3* triangle, int partId, int triangleIndex)
+{
+ btTriangleShape triangleShape (triangle[0], triangle[1], triangle[2]);
+ triangleShape.setMargin(m_triangleCollisionMargin);
+
+ btVoronoiSimplexSolver simplexSolver;
+ btGjkEpaPenetrationDepthSolver gjkEpaPenetrationSolver;
+
+//#define USE_SUBSIMPLEX_CONVEX_CAST 1
+//if you reenable USE_SUBSIMPLEX_CONVEX_CAST see commented out code below
+#ifdef USE_SUBSIMPLEX_CONVEX_CAST
+ btSubsimplexConvexCast convexCaster(m_convexShape, &triangleShape, &simplexSolver);
+#else
+ //btGjkConvexCast convexCaster(m_convexShape,&triangleShape,&simplexSolver);
+ btContinuousConvexCollision convexCaster(m_convexShape,&triangleShape,&simplexSolver,&gjkEpaPenetrationSolver);
+#endif //#USE_SUBSIMPLEX_CONVEX_CAST
+
+ btConvexCast::CastResult castResult;
+ castResult.m_fraction = btScalar(1.);
+ castResult.m_allowedPenetration = m_allowedPenetration;
+ if (convexCaster.calcTimeOfImpact(m_convexShapeFrom,m_convexShapeTo,m_triangleToWorld, m_triangleToWorld, castResult))
+ {
+ //add hit
+ if (castResult.m_normal.length2() > btScalar(0.0001))
+ {
+ if (castResult.m_fraction < m_hitFraction)
+ {
+/* btContinuousConvexCast's normal is already in world space */
+/*
+#ifdef USE_SUBSIMPLEX_CONVEX_CAST
+ //rotate normal into worldspace
+ castResult.m_normal = m_convexShapeFrom.getBasis() * castResult.m_normal;
+#endif //USE_SUBSIMPLEX_CONVEX_CAST
+*/
+ castResult.m_normal.normalize();
+
+ reportHit (castResult.m_normal,
+ castResult.m_hitPoint,
+ castResult.m_fraction,
+ partId,
+ triangleIndex);
+ }
+ }
+ }
+}
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.h
new file mode 100644
index 0000000000..f2ed0cd39c
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btRaycastCallback.h
@@ -0,0 +1,74 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_RAYCAST_TRI_CALLBACK_H
+#define BT_RAYCAST_TRI_CALLBACK_H
+
+#include "BulletCollision/CollisionShapes/btTriangleCallback.h"
+#include "LinearMath/btTransform.h"
+struct btBroadphaseProxy;
+class btConvexShape;
+
+class btTriangleRaycastCallback: public btTriangleCallback
+{
+public:
+
+ //input
+ btVector3 m_from;
+ btVector3 m_to;
+
+ //@BP Mod - allow backface filtering and unflipped normals
+ enum EFlags
+ {
+ kF_None = 0,
+ kF_FilterBackfaces = 1 << 0,
+ kF_KeepUnflippedNormal = 1 << 1, // Prevents returned face normal getting flipped when a ray hits a back-facing triangle
+ ///SubSimplexConvexCastRaytest is the default, even if kF_None is set.
+ kF_UseSubSimplexConvexCastRaytest = 1 << 2, // Uses an approximate but faster ray versus convex intersection algorithm
+ kF_UseGjkConvexCastRaytest = 1 << 3,
+ kF_Terminator = 0xFFFFFFFF
+ };
+ unsigned int m_flags;
+
+ btScalar m_hitFraction;
+
+ btTriangleRaycastCallback(const btVector3& from,const btVector3& to, unsigned int flags=0);
+
+ virtual void processTriangle(btVector3* triangle, int partId, int triangleIndex);
+
+ virtual btScalar reportHit(const btVector3& hitNormalLocal, btScalar hitFraction, int partId, int triangleIndex ) = 0;
+
+};
+
+class btTriangleConvexcastCallback : public btTriangleCallback
+{
+public:
+ const btConvexShape* m_convexShape;
+ btTransform m_convexShapeFrom;
+ btTransform m_convexShapeTo;
+ btTransform m_triangleToWorld;
+ btScalar m_hitFraction;
+ btScalar m_triangleCollisionMargin;
+ btScalar m_allowedPenetration;
+
+ btTriangleConvexcastCallback (const btConvexShape* convexShape, const btTransform& convexShapeFrom, const btTransform& convexShapeTo, const btTransform& triangleToWorld, const btScalar triangleCollisionMargin);
+
+ virtual void processTriangle (btVector3* triangle, int partId, int triangleIndex);
+
+ virtual btScalar reportHit (const btVector3& hitNormalLocal, const btVector3& hitPointLocal, btScalar hitFraction, int partId, int triangleIndex) = 0;
+};
+
+#endif //BT_RAYCAST_TRI_CALLBACK_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h
new file mode 100644
index 0000000000..da8a13914c
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h
@@ -0,0 +1,63 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_SIMPLEX_SOLVER_INTERFACE_H
+#define BT_SIMPLEX_SOLVER_INTERFACE_H
+
+#include "LinearMath/btVector3.h"
+
+#define NO_VIRTUAL_INTERFACE 1
+#ifdef NO_VIRTUAL_INTERFACE
+#include "btVoronoiSimplexSolver.h"
+#define btSimplexSolverInterface btVoronoiSimplexSolver
+#else
+
+/// btSimplexSolverInterface can incrementally calculate distance between origin and up to 4 vertices
+/// Used by GJK or Linear Casting. Can be implemented by the Johnson-algorithm or alternative approaches based on
+/// voronoi regions or barycentric coordinates
+class btSimplexSolverInterface
+{
+ public:
+ virtual ~btSimplexSolverInterface() {};
+
+ virtual void reset() = 0;
+
+ virtual void addVertex(const btVector3& w, const btVector3& p, const btVector3& q) = 0;
+
+ virtual bool closest(btVector3& v) = 0;
+
+ virtual btScalar maxVertex() = 0;
+
+ virtual bool fullSimplex() const = 0;
+
+ virtual int getSimplex(btVector3 *pBuf, btVector3 *qBuf, btVector3 *yBuf) const = 0;
+
+ virtual bool inSimplex(const btVector3& w) = 0;
+
+ virtual void backup_closest(btVector3& v) = 0;
+
+ virtual bool emptySimplex() const = 0;
+
+ virtual void compute_points(btVector3& p1, btVector3& p2) = 0;
+
+ virtual int numVertices() const =0;
+
+
+};
+#endif
+#endif //BT_SIMPLEX_SOLVER_INTERFACE_H
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.cpp
new file mode 100644
index 0000000000..ec638f60ba
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.cpp
@@ -0,0 +1,160 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+*/
+
+
+#include "btSubSimplexConvexCast.h"
+#include "BulletCollision/CollisionShapes/btConvexShape.h"
+
+#include "BulletCollision/CollisionShapes/btMinkowskiSumShape.h"
+#include "BulletCollision/NarrowPhaseCollision/btSimplexSolverInterface.h"
+#include "btPointCollector.h"
+#include "LinearMath/btTransformUtil.h"
+
+btSubsimplexConvexCast::btSubsimplexConvexCast (const btConvexShape* convexA,const btConvexShape* convexB,btSimplexSolverInterface* simplexSolver)
+:m_simplexSolver(simplexSolver),
+m_convexA(convexA),m_convexB(convexB)
+{
+}
+
+///Typically the conservative advancement reaches solution in a few iterations, clip it to 32 for degenerate cases.
+///See discussion about this here http://continuousphysics.com/Bullet/phpBB2/viewtopic.php?t=565
+#ifdef BT_USE_DOUBLE_PRECISION
+#define MAX_ITERATIONS 64
+#else
+#define MAX_ITERATIONS 32
+#endif
+bool btSubsimplexConvexCast::calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result)
+{
+
+ m_simplexSolver->reset();
+
+ btVector3 linVelA,linVelB;
+ linVelA = toA.getOrigin()-fromA.getOrigin();
+ linVelB = toB.getOrigin()-fromB.getOrigin();
+
+ btScalar lambda = btScalar(0.);
+
+ btTransform interpolatedTransA = fromA;
+ btTransform interpolatedTransB = fromB;
+
+ ///take relative motion
+ btVector3 r = (linVelA-linVelB);
+ btVector3 v;
+
+ btVector3 supVertexA = fromA(m_convexA->localGetSupportingVertex(-r*fromA.getBasis()));
+ btVector3 supVertexB = fromB(m_convexB->localGetSupportingVertex(r*fromB.getBasis()));
+ v = supVertexA-supVertexB;
+ int maxIter = MAX_ITERATIONS;
+
+ btVector3 n;
+ n.setValue(btScalar(0.),btScalar(0.),btScalar(0.));
+
+ btVector3 c;
+
+
+
+
+ btScalar dist2 = v.length2();
+#ifdef BT_USE_DOUBLE_PRECISION
+ btScalar epsilon = btScalar(0.0001);
+#else
+ btScalar epsilon = btScalar(0.0001);
+#endif //BT_USE_DOUBLE_PRECISION
+ btVector3 w,p;
+ btScalar VdotR;
+
+ while ( (dist2 > epsilon) && maxIter--)
+ {
+ supVertexA = interpolatedTransA(m_convexA->localGetSupportingVertex(-v*interpolatedTransA.getBasis()));
+ supVertexB = interpolatedTransB(m_convexB->localGetSupportingVertex(v*interpolatedTransB.getBasis()));
+ w = supVertexA-supVertexB;
+
+ btScalar VdotW = v.dot(w);
+
+ if (lambda > btScalar(1.0))
+ {
+ return false;
+ }
+
+ if ( VdotW > btScalar(0.))
+ {
+ VdotR = v.dot(r);
+
+ if (VdotR >= -(SIMD_EPSILON*SIMD_EPSILON))
+ return false;
+ else
+ {
+ lambda = lambda - VdotW / VdotR;
+ //interpolate to next lambda
+ // x = s + lambda * r;
+ interpolatedTransA.getOrigin().setInterpolate3(fromA.getOrigin(),toA.getOrigin(),lambda);
+ interpolatedTransB.getOrigin().setInterpolate3(fromB.getOrigin(),toB.getOrigin(),lambda);
+ //m_simplexSolver->reset();
+ //check next line
+ w = supVertexA-supVertexB;
+
+ n = v;
+
+ }
+ }
+ ///Just like regular GJK only add the vertex if it isn't already (close) to current vertex, it would lead to divisions by zero and NaN etc.
+ if (!m_simplexSolver->inSimplex(w))
+ m_simplexSolver->addVertex( w, supVertexA , supVertexB);
+
+ if (m_simplexSolver->closest(v))
+ {
+ dist2 = v.length2();
+
+ //todo: check this normal for validity
+ //n=v;
+ //printf("V=%f , %f, %f\n",v[0],v[1],v[2]);
+ //printf("DIST2=%f\n",dist2);
+ //printf("numverts = %i\n",m_simplexSolver->numVertices());
+ } else
+ {
+ dist2 = btScalar(0.);
+ }
+ }
+
+ //int numiter = MAX_ITERATIONS - maxIter;
+// printf("number of iterations: %d", numiter);
+
+ //don't report a time of impact when moving 'away' from the hitnormal
+
+
+ result.m_fraction = lambda;
+ if (n.length2() >= (SIMD_EPSILON*SIMD_EPSILON))
+ result.m_normal = n.normalized();
+ else
+ result.m_normal = btVector3(btScalar(0.0), btScalar(0.0), btScalar(0.0));
+
+ //don't report time of impact for motion away from the contact normal (or causes minor penetration)
+ if (result.m_normal.dot(r)>=-result.m_allowedPenetration)
+ return false;
+
+ btVector3 hitA,hitB;
+ m_simplexSolver->compute_points(hitA,hitB);
+ result.m_hitPoint=hitB;
+ return true;
+}
+
+
+
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.h
new file mode 100644
index 0000000000..6c8127983e
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btSubSimplexConvexCast.h
@@ -0,0 +1,50 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_SUBSIMPLEX_CONVEX_CAST_H
+#define BT_SUBSIMPLEX_CONVEX_CAST_H
+
+#include "btConvexCast.h"
+#include "btSimplexSolverInterface.h"
+class btConvexShape;
+
+/// btSubsimplexConvexCast implements Gino van den Bergens' paper
+///"Ray Casting against bteral Convex Objects with Application to Continuous Collision Detection"
+/// GJK based Ray Cast, optimized version
+/// Objects should not start in overlap, otherwise results are not defined.
+class btSubsimplexConvexCast : public btConvexCast
+{
+ btSimplexSolverInterface* m_simplexSolver;
+ const btConvexShape* m_convexA;
+ const btConvexShape* m_convexB;
+
+public:
+
+ btSubsimplexConvexCast (const btConvexShape* shapeA,const btConvexShape* shapeB,btSimplexSolverInterface* simplexSolver);
+
+ //virtual ~btSubsimplexConvexCast();
+ ///SimsimplexConvexCast calculateTimeOfImpact calculates the time of impact+normal for the linear cast (sweep) between two moving objects.
+ ///Precondition is that objects should not penetration/overlap at the start from the interval. Overlap can be tested using btGjkPairDetector.
+ virtual bool calcTimeOfImpact(
+ const btTransform& fromA,
+ const btTransform& toA,
+ const btTransform& fromB,
+ const btTransform& toB,
+ CastResult& result);
+
+};
+
+#endif //BT_SUBSIMPLEX_CONVEX_CAST_H
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.cpp b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.cpp
new file mode 100644
index 0000000000..756373c9b5
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.cpp
@@ -0,0 +1,612 @@
+
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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.
+
+ Elsevier CDROM license agreements grants nonexclusive license to use the software
+ for any purpose, commercial or non-commercial as long as the following credit is included
+ identifying the original source of the software:
+
+ Parts of the source are "from the book Real-Time Collision Detection by
+ Christer Ericson, published by Morgan Kaufmann Publishers,
+ (c) 2005 Elsevier Inc."
+
+*/
+
+
+#include "btVoronoiSimplexSolver.h"
+
+#define VERTA 0
+#define VERTB 1
+#define VERTC 2
+#define VERTD 3
+
+#define CATCH_DEGENERATE_TETRAHEDRON 1
+void btVoronoiSimplexSolver::removeVertex(int index)
+{
+
+ btAssert(m_numVertices>0);
+ m_numVertices--;
+ m_simplexVectorW[index] = m_simplexVectorW[m_numVertices];
+ m_simplexPointsP[index] = m_simplexPointsP[m_numVertices];
+ m_simplexPointsQ[index] = m_simplexPointsQ[m_numVertices];
+}
+
+void btVoronoiSimplexSolver::reduceVertices (const btUsageBitfield& usedVerts)
+{
+ if ((numVertices() >= 4) && (!usedVerts.usedVertexD))
+ removeVertex(3);
+
+ if ((numVertices() >= 3) && (!usedVerts.usedVertexC))
+ removeVertex(2);
+
+ if ((numVertices() >= 2) && (!usedVerts.usedVertexB))
+ removeVertex(1);
+
+ if ((numVertices() >= 1) && (!usedVerts.usedVertexA))
+ removeVertex(0);
+
+}
+
+
+
+
+
+//clear the simplex, remove all the vertices
+void btVoronoiSimplexSolver::reset()
+{
+ m_cachedValidClosest = false;
+ m_numVertices = 0;
+ m_needsUpdate = true;
+ m_lastW = btVector3(btScalar(BT_LARGE_FLOAT),btScalar(BT_LARGE_FLOAT),btScalar(BT_LARGE_FLOAT));
+ m_cachedBC.reset();
+}
+
+
+
+ //add a vertex
+void btVoronoiSimplexSolver::addVertex(const btVector3& w, const btVector3& p, const btVector3& q)
+{
+ m_lastW = w;
+ m_needsUpdate = true;
+
+ m_simplexVectorW[m_numVertices] = w;
+ m_simplexPointsP[m_numVertices] = p;
+ m_simplexPointsQ[m_numVertices] = q;
+
+ m_numVertices++;
+}
+
+bool btVoronoiSimplexSolver::updateClosestVectorAndPoints()
+{
+
+ if (m_needsUpdate)
+ {
+ m_cachedBC.reset();
+
+ m_needsUpdate = false;
+
+ switch (numVertices())
+ {
+ case 0:
+ m_cachedValidClosest = false;
+ break;
+ case 1:
+ {
+ m_cachedP1 = m_simplexPointsP[0];
+ m_cachedP2 = m_simplexPointsQ[0];
+ m_cachedV = m_cachedP1-m_cachedP2; //== m_simplexVectorW[0]
+ m_cachedBC.reset();
+ m_cachedBC.setBarycentricCoordinates(btScalar(1.),btScalar(0.),btScalar(0.),btScalar(0.));
+ m_cachedValidClosest = m_cachedBC.isValid();
+ break;
+ };
+ case 2:
+ {
+ //closest point origin from line segment
+ const btVector3& from = m_simplexVectorW[0];
+ const btVector3& to = m_simplexVectorW[1];
+ btVector3 nearest;
+
+ btVector3 p (btScalar(0.),btScalar(0.),btScalar(0.));
+ btVector3 diff = p - from;
+ btVector3 v = to - from;
+ btScalar t = v.dot(diff);
+
+ if (t > 0) {
+ btScalar dotVV = v.dot(v);
+ if (t < dotVV) {
+ t /= dotVV;
+ diff -= t*v;
+ m_cachedBC.m_usedVertices.usedVertexA = true;
+ m_cachedBC.m_usedVertices.usedVertexB = true;
+ } else {
+ t = 1;
+ diff -= v;
+ //reduce to 1 point
+ m_cachedBC.m_usedVertices.usedVertexB = true;
+ }
+ } else
+ {
+ t = 0;
+ //reduce to 1 point
+ m_cachedBC.m_usedVertices.usedVertexA = true;
+ }
+ m_cachedBC.setBarycentricCoordinates(1-t,t);
+ nearest = from + t*v;
+
+ m_cachedP1 = m_simplexPointsP[0] + t * (m_simplexPointsP[1] - m_simplexPointsP[0]);
+ m_cachedP2 = m_simplexPointsQ[0] + t * (m_simplexPointsQ[1] - m_simplexPointsQ[0]);
+ m_cachedV = m_cachedP1 - m_cachedP2;
+
+ reduceVertices(m_cachedBC.m_usedVertices);
+
+ m_cachedValidClosest = m_cachedBC.isValid();
+ break;
+ }
+ case 3:
+ {
+ //closest point origin from triangle
+ btVector3 p (btScalar(0.),btScalar(0.),btScalar(0.));
+
+ const btVector3& a = m_simplexVectorW[0];
+ const btVector3& b = m_simplexVectorW[1];
+ const btVector3& c = m_simplexVectorW[2];
+
+ closestPtPointTriangle(p,a,b,c,m_cachedBC);
+ m_cachedP1 = m_simplexPointsP[0] * m_cachedBC.m_barycentricCoords[0] +
+ m_simplexPointsP[1] * m_cachedBC.m_barycentricCoords[1] +
+ m_simplexPointsP[2] * m_cachedBC.m_barycentricCoords[2];
+
+ m_cachedP2 = m_simplexPointsQ[0] * m_cachedBC.m_barycentricCoords[0] +
+ m_simplexPointsQ[1] * m_cachedBC.m_barycentricCoords[1] +
+ m_simplexPointsQ[2] * m_cachedBC.m_barycentricCoords[2];
+
+ m_cachedV = m_cachedP1-m_cachedP2;
+
+ reduceVertices (m_cachedBC.m_usedVertices);
+ m_cachedValidClosest = m_cachedBC.isValid();
+
+ break;
+ }
+ case 4:
+ {
+
+
+ btVector3 p (btScalar(0.),btScalar(0.),btScalar(0.));
+
+ const btVector3& a = m_simplexVectorW[0];
+ const btVector3& b = m_simplexVectorW[1];
+ const btVector3& c = m_simplexVectorW[2];
+ const btVector3& d = m_simplexVectorW[3];
+
+ bool hasSeparation = closestPtPointTetrahedron(p,a,b,c,d,m_cachedBC);
+
+ if (hasSeparation)
+ {
+
+ m_cachedP1 = m_simplexPointsP[0] * m_cachedBC.m_barycentricCoords[0] +
+ m_simplexPointsP[1] * m_cachedBC.m_barycentricCoords[1] +
+ m_simplexPointsP[2] * m_cachedBC.m_barycentricCoords[2] +
+ m_simplexPointsP[3] * m_cachedBC.m_barycentricCoords[3];
+
+ m_cachedP2 = m_simplexPointsQ[0] * m_cachedBC.m_barycentricCoords[0] +
+ m_simplexPointsQ[1] * m_cachedBC.m_barycentricCoords[1] +
+ m_simplexPointsQ[2] * m_cachedBC.m_barycentricCoords[2] +
+ m_simplexPointsQ[3] * m_cachedBC.m_barycentricCoords[3];
+
+ m_cachedV = m_cachedP1-m_cachedP2;
+ reduceVertices (m_cachedBC.m_usedVertices);
+ } else
+ {
+// printf("sub distance got penetration\n");
+
+ if (m_cachedBC.m_degenerate)
+ {
+ m_cachedValidClosest = false;
+ } else
+ {
+ m_cachedValidClosest = true;
+ //degenerate case == false, penetration = true + zero
+ m_cachedV.setValue(btScalar(0.),btScalar(0.),btScalar(0.));
+ }
+ break;
+ }
+
+ m_cachedValidClosest = m_cachedBC.isValid();
+
+ //closest point origin from tetrahedron
+ break;
+ }
+ default:
+ {
+ m_cachedValidClosest = false;
+ }
+ };
+ }
+
+ return m_cachedValidClosest;
+
+}
+
+//return/calculate the closest vertex
+bool btVoronoiSimplexSolver::closest(btVector3& v)
+{
+ bool succes = updateClosestVectorAndPoints();
+ v = m_cachedV;
+ return succes;
+}
+
+
+
+btScalar btVoronoiSimplexSolver::maxVertex()
+{
+ int i, numverts = numVertices();
+ btScalar maxV = btScalar(0.);
+ for (i=0;i<numverts;i++)
+ {
+ btScalar curLen2 = m_simplexVectorW[i].length2();
+ if (maxV < curLen2)
+ maxV = curLen2;
+ }
+ return maxV;
+}
+
+
+
+ //return the current simplex
+int btVoronoiSimplexSolver::getSimplex(btVector3 *pBuf, btVector3 *qBuf, btVector3 *yBuf) const
+{
+ int i;
+ for (i=0;i<numVertices();i++)
+ {
+ yBuf[i] = m_simplexVectorW[i];
+ pBuf[i] = m_simplexPointsP[i];
+ qBuf[i] = m_simplexPointsQ[i];
+ }
+ return numVertices();
+}
+
+
+
+
+bool btVoronoiSimplexSolver::inSimplex(const btVector3& w)
+{
+ bool found = false;
+ int i, numverts = numVertices();
+ //btScalar maxV = btScalar(0.);
+
+ //w is in the current (reduced) simplex
+ for (i=0;i<numverts;i++)
+ {
+#ifdef BT_USE_EQUAL_VERTEX_THRESHOLD
+ if ( m_simplexVectorW[i].distance2(w) <= m_equalVertexThreshold)
+#else
+ if (m_simplexVectorW[i] == w)
+#endif
+ {
+ found = true;
+ break;
+ }
+ }
+
+ //check in case lastW is already removed
+ if (w == m_lastW)
+ return true;
+
+ return found;
+}
+
+void btVoronoiSimplexSolver::backup_closest(btVector3& v)
+{
+ v = m_cachedV;
+}
+
+
+bool btVoronoiSimplexSolver::emptySimplex() const
+{
+ return (numVertices() == 0);
+
+}
+
+void btVoronoiSimplexSolver::compute_points(btVector3& p1, btVector3& p2)
+{
+ updateClosestVectorAndPoints();
+ p1 = m_cachedP1;
+ p2 = m_cachedP2;
+
+}
+
+
+
+
+bool btVoronoiSimplexSolver::closestPtPointTriangle(const btVector3& p, const btVector3& a, const btVector3& b, const btVector3& c,btSubSimplexClosestResult& result)
+{
+ result.m_usedVertices.reset();
+
+ // Check if P in vertex region outside A
+ btVector3 ab = b - a;
+ btVector3 ac = c - a;
+ btVector3 ap = p - a;
+ btScalar d1 = ab.dot(ap);
+ btScalar d2 = ac.dot(ap);
+ if (d1 <= btScalar(0.0) && d2 <= btScalar(0.0))
+ {
+ result.m_closestPointOnSimplex = a;
+ result.m_usedVertices.usedVertexA = true;
+ result.setBarycentricCoordinates(1,0,0);
+ return true;// a; // barycentric coordinates (1,0,0)
+ }
+
+ // Check if P in vertex region outside B
+ btVector3 bp = p - b;
+ btScalar d3 = ab.dot(bp);
+ btScalar d4 = ac.dot(bp);
+ if (d3 >= btScalar(0.0) && d4 <= d3)
+ {
+ result.m_closestPointOnSimplex = b;
+ result.m_usedVertices.usedVertexB = true;
+ result.setBarycentricCoordinates(0,1,0);
+
+ return true; // b; // barycentric coordinates (0,1,0)
+ }
+ // Check if P in edge region of AB, if so return projection of P onto AB
+ btScalar vc = d1*d4 - d3*d2;
+ if (vc <= btScalar(0.0) && d1 >= btScalar(0.0) && d3 <= btScalar(0.0)) {
+ btScalar v = d1 / (d1 - d3);
+ result.m_closestPointOnSimplex = a + v * ab;
+ result.m_usedVertices.usedVertexA = true;
+ result.m_usedVertices.usedVertexB = true;
+ result.setBarycentricCoordinates(1-v,v,0);
+ return true;
+ //return a + v * ab; // barycentric coordinates (1-v,v,0)
+ }
+
+ // Check if P in vertex region outside C
+ btVector3 cp = p - c;
+ btScalar d5 = ab.dot(cp);
+ btScalar d6 = ac.dot(cp);
+ if (d6 >= btScalar(0.0) && d5 <= d6)
+ {
+ result.m_closestPointOnSimplex = c;
+ result.m_usedVertices.usedVertexC = true;
+ result.setBarycentricCoordinates(0,0,1);
+ return true;//c; // barycentric coordinates (0,0,1)
+ }
+
+ // Check if P in edge region of AC, if so return projection of P onto AC
+ btScalar vb = d5*d2 - d1*d6;
+ if (vb <= btScalar(0.0) && d2 >= btScalar(0.0) && d6 <= btScalar(0.0)) {
+ btScalar w = d2 / (d2 - d6);
+ result.m_closestPointOnSimplex = a + w * ac;
+ result.m_usedVertices.usedVertexA = true;
+ result.m_usedVertices.usedVertexC = true;
+ result.setBarycentricCoordinates(1-w,0,w);
+ return true;
+ //return a + w * ac; // barycentric coordinates (1-w,0,w)
+ }
+
+ // Check if P in edge region of BC, if so return projection of P onto BC
+ btScalar va = d3*d6 - d5*d4;
+ if (va <= btScalar(0.0) && (d4 - d3) >= btScalar(0.0) && (d5 - d6) >= btScalar(0.0)) {
+ btScalar w = (d4 - d3) / ((d4 - d3) + (d5 - d6));
+
+ result.m_closestPointOnSimplex = b + w * (c - b);
+ result.m_usedVertices.usedVertexB = true;
+ result.m_usedVertices.usedVertexC = true;
+ result.setBarycentricCoordinates(0,1-w,w);
+ return true;
+ // return b + w * (c - b); // barycentric coordinates (0,1-w,w)
+ }
+
+ // P inside face region. Compute Q through its barycentric coordinates (u,v,w)
+ btScalar denom = btScalar(1.0) / (va + vb + vc);
+ btScalar v = vb * denom;
+ btScalar w = vc * denom;
+
+ result.m_closestPointOnSimplex = a + ab * v + ac * w;
+ result.m_usedVertices.usedVertexA = true;
+ result.m_usedVertices.usedVertexB = true;
+ result.m_usedVertices.usedVertexC = true;
+ result.setBarycentricCoordinates(1-v-w,v,w);
+
+ return true;
+// return a + ab * v + ac * w; // = u*a + v*b + w*c, u = va * denom = btScalar(1.0) - v - w
+
+}
+
+
+
+
+
+/// Test if point p and d lie on opposite sides of plane through abc
+int btVoronoiSimplexSolver::pointOutsideOfPlane(const btVector3& p, const btVector3& a, const btVector3& b, const btVector3& c, const btVector3& d)
+{
+ btVector3 normal = (b-a).cross(c-a);
+
+ btScalar signp = (p - a).dot(normal); // [AP AB AC]
+ btScalar signd = (d - a).dot( normal); // [AD AB AC]
+
+#ifdef CATCH_DEGENERATE_TETRAHEDRON
+#ifdef BT_USE_DOUBLE_PRECISION
+if (signd * signd < (btScalar(1e-8) * btScalar(1e-8)))
+ {
+ return -1;
+ }
+#else
+ if (signd * signd < (btScalar(1e-4) * btScalar(1e-4)))
+ {
+// printf("affine dependent/degenerate\n");//
+ return -1;
+ }
+#endif
+
+#endif
+ // Points on opposite sides if expression signs are opposite
+ return signp * signd < btScalar(0.);
+}
+
+
+bool btVoronoiSimplexSolver::closestPtPointTetrahedron(const btVector3& p, const btVector3& a, const btVector3& b, const btVector3& c, const btVector3& d, btSubSimplexClosestResult& finalResult)
+{
+ btSubSimplexClosestResult tempResult;
+
+ // Start out assuming point inside all halfspaces, so closest to itself
+ finalResult.m_closestPointOnSimplex = p;
+ finalResult.m_usedVertices.reset();
+ finalResult.m_usedVertices.usedVertexA = true;
+ finalResult.m_usedVertices.usedVertexB = true;
+ finalResult.m_usedVertices.usedVertexC = true;
+ finalResult.m_usedVertices.usedVertexD = true;
+
+ int pointOutsideABC = pointOutsideOfPlane(p, a, b, c, d);
+ int pointOutsideACD = pointOutsideOfPlane(p, a, c, d, b);
+ int pointOutsideADB = pointOutsideOfPlane(p, a, d, b, c);
+ int pointOutsideBDC = pointOutsideOfPlane(p, b, d, c, a);
+
+ if (pointOutsideABC < 0 || pointOutsideACD < 0 || pointOutsideADB < 0 || pointOutsideBDC < 0)
+ {
+ finalResult.m_degenerate = true;
+ return false;
+ }
+
+ if (!pointOutsideABC && !pointOutsideACD && !pointOutsideADB && !pointOutsideBDC)
+ {
+ return false;
+ }
+
+
+ btScalar bestSqDist = FLT_MAX;
+ // If point outside face abc then compute closest point on abc
+ if (pointOutsideABC)
+ {
+ closestPtPointTriangle(p, a, b, c,tempResult);
+ btVector3 q = tempResult.m_closestPointOnSimplex;
+
+ btScalar sqDist = (q - p).dot( q - p);
+ // Update best closest point if (squared) distance is less than current best
+ if (sqDist < bestSqDist) {
+ bestSqDist = sqDist;
+ finalResult.m_closestPointOnSimplex = q;
+ //convert result bitmask!
+ finalResult.m_usedVertices.reset();
+ finalResult.m_usedVertices.usedVertexA = tempResult.m_usedVertices.usedVertexA;
+ finalResult.m_usedVertices.usedVertexB = tempResult.m_usedVertices.usedVertexB;
+ finalResult.m_usedVertices.usedVertexC = tempResult.m_usedVertices.usedVertexC;
+ finalResult.setBarycentricCoordinates(
+ tempResult.m_barycentricCoords[VERTA],
+ tempResult.m_barycentricCoords[VERTB],
+ tempResult.m_barycentricCoords[VERTC],
+ 0
+ );
+
+ }
+ }
+
+
+ // Repeat test for face acd
+ if (pointOutsideACD)
+ {
+ closestPtPointTriangle(p, a, c, d,tempResult);
+ btVector3 q = tempResult.m_closestPointOnSimplex;
+ //convert result bitmask!
+
+ btScalar sqDist = (q - p).dot( q - p);
+ if (sqDist < bestSqDist)
+ {
+ bestSqDist = sqDist;
+ finalResult.m_closestPointOnSimplex = q;
+ finalResult.m_usedVertices.reset();
+ finalResult.m_usedVertices.usedVertexA = tempResult.m_usedVertices.usedVertexA;
+
+ finalResult.m_usedVertices.usedVertexC = tempResult.m_usedVertices.usedVertexB;
+ finalResult.m_usedVertices.usedVertexD = tempResult.m_usedVertices.usedVertexC;
+ finalResult.setBarycentricCoordinates(
+ tempResult.m_barycentricCoords[VERTA],
+ 0,
+ tempResult.m_barycentricCoords[VERTB],
+ tempResult.m_barycentricCoords[VERTC]
+ );
+
+ }
+ }
+ // Repeat test for face adb
+
+
+ if (pointOutsideADB)
+ {
+ closestPtPointTriangle(p, a, d, b,tempResult);
+ btVector3 q = tempResult.m_closestPointOnSimplex;
+ //convert result bitmask!
+
+ btScalar sqDist = (q - p).dot( q - p);
+ if (sqDist < bestSqDist)
+ {
+ bestSqDist = sqDist;
+ finalResult.m_closestPointOnSimplex = q;
+ finalResult.m_usedVertices.reset();
+ finalResult.m_usedVertices.usedVertexA = tempResult.m_usedVertices.usedVertexA;
+ finalResult.m_usedVertices.usedVertexB = tempResult.m_usedVertices.usedVertexC;
+
+ finalResult.m_usedVertices.usedVertexD = tempResult.m_usedVertices.usedVertexB;
+ finalResult.setBarycentricCoordinates(
+ tempResult.m_barycentricCoords[VERTA],
+ tempResult.m_barycentricCoords[VERTC],
+ 0,
+ tempResult.m_barycentricCoords[VERTB]
+ );
+
+ }
+ }
+ // Repeat test for face bdc
+
+
+ if (pointOutsideBDC)
+ {
+ closestPtPointTriangle(p, b, d, c,tempResult);
+ btVector3 q = tempResult.m_closestPointOnSimplex;
+ //convert result bitmask!
+ btScalar sqDist = (q - p).dot( q - p);
+ if (sqDist < bestSqDist)
+ {
+ bestSqDist = sqDist;
+ finalResult.m_closestPointOnSimplex = q;
+ finalResult.m_usedVertices.reset();
+ //
+ finalResult.m_usedVertices.usedVertexB = tempResult.m_usedVertices.usedVertexA;
+ finalResult.m_usedVertices.usedVertexC = tempResult.m_usedVertices.usedVertexC;
+ finalResult.m_usedVertices.usedVertexD = tempResult.m_usedVertices.usedVertexB;
+
+ finalResult.setBarycentricCoordinates(
+ 0,
+ tempResult.m_barycentricCoords[VERTA],
+ tempResult.m_barycentricCoords[VERTC],
+ tempResult.m_barycentricCoords[VERTB]
+ );
+
+ }
+ }
+
+ //help! we ended up full !
+
+ if (finalResult.m_usedVertices.usedVertexA &&
+ finalResult.m_usedVertices.usedVertexB &&
+ finalResult.m_usedVertices.usedVertexC &&
+ finalResult.m_usedVertices.usedVertexD)
+ {
+ return true;
+ }
+
+ return true;
+}
+
diff --git a/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.h b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.h
new file mode 100644
index 0000000000..80fd490f4e
--- /dev/null
+++ b/thirdparty/bullet/src/BulletCollision/NarrowPhaseCollision/btVoronoiSimplexSolver.h
@@ -0,0 +1,185 @@
+/*
+Bullet Continuous Collision Detection and Physics Library
+Copyright (c) 2003-2006 Erwin Coumans http://continuousphysics.com/Bullet/
+
+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 BT_VORONOI_SIMPLEX_SOLVER_H
+#define BT_VORONOI_SIMPLEX_SOLVER_H
+
+#include "btSimplexSolverInterface.h"
+
+
+
+#define VORONOI_SIMPLEX_MAX_VERTS 5
+
+///disable next define, or use defaultCollisionConfiguration->getSimplexSolver()->setEqualVertexThreshold(0.f) to disable/configure
+#define BT_USE_EQUAL_VERTEX_THRESHOLD
+
+#ifdef BT_USE_DOUBLE_PRECISION
+#define VORONOI_DEFAULT_EQUAL_VERTEX_THRESHOLD 1e-12f
+#else
+#define VORONOI_DEFAULT_EQUAL_VERTEX_THRESHOLD 0.0001f
+#endif//BT_USE_DOUBLE_PRECISION
+
+struct btUsageBitfield{
+ btUsageBitfield()
+ {
+ reset();
+ }
+
+ void reset()
+ {
+ usedVertexA = false;
+ usedVertexB = false;
+ usedVertexC = false;
+ usedVertexD = false;
+ }
+ unsigned short usedVertexA : 1;
+ unsigned short usedVertexB : 1;
+ unsigned short usedVertexC : 1;
+ unsigned short usedVertexD : 1;
+ unsigned short unused1 : 1;
+ unsigned short unused2 : 1;
+ unsigned short unused3 : 1;
+ unsigned short unused4 : 1;
+};
+
+
+struct btSubSimplexClosestResult
+{
+ btVector3 m_closestPointOnSimplex;
+ //MASK for m_usedVertices
+ //stores the simplex vertex-usage, using the MASK,
+ // if m_usedVertices & MASK then the related vertex is used
+ btUsageBitfield m_usedVertices;
+ btScalar m_barycentricCoords[4];
+ bool m_degenerate;
+
+ void reset()
+ {
+ m_degenerate = false;
+ setBarycentricCoordinates();
+ m_usedVertices.reset();
+ }
+ bool isValid()
+ {
+ bool valid = (m_barycentricCoords[0] >= btScalar(0.)) &&
+ (m_barycentricCoords[1] >= btScalar(0.)) &&
+ (m_barycentricCoords[2] >= btScalar(0.)) &&
+ (m_barycentricCoords[3] >= btScalar(0.));
+
+
+ return valid;
+ }
+ void setBarycentricCoordinates(btScalar a=btScalar(0.),btScalar b=btScalar(0.),btScalar c=btScalar(0.),btScalar d=btScalar(0.))
+ {
+ m_barycentricCoords[0] = a;
+ m_barycentricCoords[1] = b;
+ m_barycentricCoords[2] = c;
+ m_barycentricCoords[3] = d;
+ }
+
+};
+
+/// btVoronoiSimplexSolver is an implementation of the closest point distance algorithm from a 1-4 points simplex to the origin.
+/// Can be used with GJK, as an alternative to Johnson distance algorithm.
+#ifdef NO_VIRTUAL_INTERFACE
+ATTRIBUTE_ALIGNED16(class) btVoronoiSimplexSolver
+#else
+ATTRIBUTE_ALIGNED16(class) btVoronoiSimplexSolver : public btSimplexSolverInterface
+#endif
+{
+public:
+
+ BT_DECLARE_ALIGNED_ALLOCATOR();
+
+ int m_numVertices;
+
+ btVector3 m_simplexVectorW[VORONOI_SIMPLEX_MAX_VERTS];
+ btVector3 m_simplexPointsP[VORONOI_SIMPLEX_MAX_VERTS];
+ btVector3 m_simplexPointsQ[VORONOI_SIMPLEX_MAX_VERTS];
+
+
+
+ btVector3 m_cachedP1;
+ btVector3 m_cachedP2;
+ btVector3 m_cachedV;
+ btVector3 m_lastW;
+
+ btScalar m_equalVertexThreshold;
+ bool m_cachedValidClosest;
+
+
+ btSubSimplexClosestResult m_cachedBC;
+
+ bool m_needsUpdate;
+
+ void removeVertex(int index);
+ void reduceVertices (const btUsageBitfield& usedVerts);
+ bool updateClosestVectorAndPoints();
+
+ bool closestPtPointTetrahedron(const btVector3& p, const btVector3& a, const btVector3& b, const btVector3& c, const btVector3& d, btSubSimplexClosestResult& finalResult);
+ int pointOutsideOfPlane(const btVector3& p, const btVector3& a, const btVector3& b, const btVector3& c, const btVector3& d);
+ bool closestPtPointTriangle(const btVector3& p, const btVector3& a, const btVector3& b, const btVector3& c,btSubSimplexClosestResult& result);
+
+public:
+
+ btVoronoiSimplexSolver()
+ : m_equalVertexThreshold(VORONOI_DEFAULT_EQUAL_VERTEX_THRESHOLD)
+ {
+ }
+ void reset();
+
+ void addVertex(const btVector3& w, const btVector3& p, const btVector3& q);
+
+ void setEqualVertexThreshold(btScalar threshold)
+ {
+ m_equalVertexThreshold = threshold;
+ }
+
+ btScalar getEqualVertexThreshold() const
+ {
+ return m_equalVertexThreshold;
+ }
+
+ bool closest(btVector3& v);
+
+ btScalar maxVertex();
+
+ bool fullSimplex() const
+ {
+ return (m_numVertices == 4);
+ }
+
+ int getSimplex(btVector3 *pBuf, btVector3 *qBuf, btVector3 *yBuf) const;
+
+ bool inSimplex(const btVector3& w);
+
+ void backup_closest(btVector3& v) ;
+
+ bool emptySimplex() const ;
+
+ void compute_points(btVector3& p1, btVector3& p2) ;
+
+ int numVertices() const
+ {
+ return m_numVertices;
+ }
+
+
+};
+
+#endif //BT_VORONOI_SIMPLEX_SOLVER_H
+