btScalar Tire::PacejkaMz(btScalar sigma, btScalar alpha, btScalar Fz, btScalar gamma, btScalar friction_coeff, btScalar & max_Mz) const
{
const std::vector<btScalar> & c = aligning;
btScalar C = c[0];
// peak factor
btScalar D = (c[1] * Fz + c[2]) * Fz;
// peak factor 1993
// D = D * (1 - c[18] * gamma * gamma);
// slope at origin
btScalar BCD = (c[3] * Fz + c[4]) * Fz * (1.0 - c[6] * btFabs(gamma)) * exp (-c[5] * Fz);
// stiffness factor
btScalar B = BCD / (C * D);
// curvature factor
btScalar E = (c[7] * Fz * Fz + c[8] * Fz + c[9]) * (1.0 - c[10] * btFabs(gamma));
// curvature factor 1993
// E = (c[7] * Fz * Fz + c[8] * Fz + c[9]) * (1.0 - (c[19] * gamma + c[20]) * sgn(S)) / (1.0 - c[10] * btFabs(gamma));
// horizontal shift
btScalar Sh = c[11] * gamma + c[12] * Fz + c[13];
// horizontal shift 1993
// Sh = c[11] * Fz + c[12] + c[13] * gamma;
// vertical shift
btScalar Sv = (c[14] * Fz * Fz + c[15] * Fz) * gamma + c[16] * Fz + c[17];
// vertical shift 1993
// Sv = c[14] * Fz + c[15] + (c[16] * Fz * Fz + c[17] * Fz) * gamma;
// composite
btScalar S = alpha + Sh;
// self-aligning torque
btScalar Mz = D * sin(c[0] * atan(B * S - E * (B * S - atan(B * S)))) + Sv;
// scale by surface friction
Mz = Mz * friction_coeff;
max_Mz = (D + Sv) * friction_coeff;
btAssert(Mz == Mz);
return Mz;
}
void btHeightfieldTerrainShape::quantizeWithClamp(int* out, const btVector3& point,int /*isMax*/) const
{
btVector3 clampedPoint(point);
clampedPoint.setMax(m_localAabbMin);
clampedPoint.setMin(m_localAabbMax);
btVector3 v = (clampedPoint);// - m_bvhAabbMin) * m_bvhQuantization;
//TODO: optimization: check out how to removed this btFabs
out[0] = (int)(v.getX() + v.getX() / btFabs(v.getX())* btScalar(0.5) );
out[1] = (int)(v.getY() + v.getY() / btFabs(v.getY())* btScalar(0.5) );
out[2] = (int)(v.getZ() + v.getZ() / btFabs(v.getZ())* btScalar(0.5) );
}
btScalar Tire::getSqueal() const
{
btScalar squeal = 0.0;
if (vx * vx > 1E-2 && slide * slide > 1E-6)
{
btScalar vx_body = vx / slide;
btScalar vx_ideal = ideal_slide * vx_body;
btScalar vy_ideal = btTan(-ideal_slip / 180 * M_PI) * vx_body;
btScalar vx_squeal = btFabs(vx / vx_ideal);
btScalar vy_squeal = btFabs(vy / vy_ideal);
// start squeal at 80% of the ideal slide/slip, max out at 160%
squeal = 1.25 * btMax(vx_squeal, vy_squeal) - 1.0;
btClamp(squeal, btScalar(0), btScalar(1));
}
return squeal;
}
void btPlaneSpace1 (const float4* n, float4* p, float4* q)
{
if (btFabs(n->z) > SIMDSQRT12) {
// choose p in y-z plane
btScalar a = n->y*n->y + n->z*n->z;
btScalar k = btRecipSqrt (a);
p->x = 0;
p->y = -n->z*k;
p->z = n->y*k;
// set q = n x p
q->x = a*k;
q->y = -n->x*p->z;
q->z = n->x*p->y;
}
else {
// choose p in x-y plane
btScalar a = n->x*n->x + n->y*n->y;
btScalar k = btRecipSqrt (a);
p->x = -n->y*k;
p->y = n->x*k;
p->z = 0;
// set q = n x p
q->x = -n->z*p->y;
q->y = n->z*p->x;
q->z = a*k;
}
}
virtual void internalProcessTriangleIndex(btVector3* triangle, int partId, int triangleIndex)
{
(void)triangleIndex;
(void)partId;
btMatrix3x3 i;
btVector3 a = triangle[0] - center;
btVector3 b = triangle[1] - center;
btVector3 c = triangle[2] - center;
btScalar volNeg = -btFabs(a.triple(b, c)) * btScalar(1. / 6);
for (int j = 0; j < 3; j++)
{
for (int k = 0; k <= j; k++)
{
i[j][k] = i[k][j] = volNeg * (btScalar(0.1) * (a[j] * a[k] + b[j] * b[k] + c[j] * c[k]) + btScalar(0.05) * (a[j] * b[k] + a[k] * b[j] + a[j] * c[k] + a[k] * c[j] + b[j] * c[k] + b[k] * c[j]));
}
}
btScalar i00 = -i[0][0];
btScalar i11 = -i[1][1];
btScalar i22 = -i[2][2];
i[0][0] = i11 + i22;
i[1][1] = i22 + i00;
i[2][2] = i00 + i11;
sum[0] += i[0];
sum[1] += i[1];
sum[2] += i[2];
}
btScalar Tire::getSqueal() const
{
btScalar squeal = 0;
if (vx * vx > btScalar(1E-2) && slip * slip > btScalar(1E-6))
{
btScalar vx_body = vx / slip;
btScalar vx_ideal = ideal_slip * vx_body;
btScalar vy_ideal = ideal_slip_angle * vx_body; //btTan(ideal_slip_angle) * vx_body;
btScalar vx_squeal = btFabs(vx / vx_ideal);
btScalar vy_squeal = btFabs(vy / vy_ideal);
// start squeal at 80% of the ideal slide/slip, max out at 160%
squeal = btScalar(1.25) * btMax(vx_squeal, vy_squeal) - 1;
squeal = Clamp(squeal, btScalar(0), btScalar(1));
}
return squeal;
}
btVector3 ThreePlaneIntersection(const btPlane &p0,const btPlane &p1, const btPlane &p2)
{
btVector3 N1 = p0.normal;
btVector3 N2 = p1.normal;
btVector3 N3 = p2.normal;
btVector3 n2n3; n2n3 = N2.cross(N3);
btVector3 n3n1; n3n1 = N3.cross(N1);
btVector3 n1n2; n1n2 = N1.cross(N2);
btScalar quotient = (N1.dot(n2n3));
btAssert(btFabs(quotient) > btScalar(0.000001));
quotient = btScalar(-1.) / quotient;
n2n3 *= p0.dist;
n3n1 *= p1.dist;
n1n2 *= p2.dist;
btVector3 potentialVertex = n2n3;
potentialVertex += n3n1;
potentialVertex += n1n2;
potentialVertex *= quotient;
btVector3 result(potentialVertex.getX(),potentialVertex.getY(),potentialVertex.getZ());
return result;
}
void btGeometryUtil::getVerticesFromPlaneEquations(const btAlignedObjectArray<btVector3>& planeEquations , btAlignedObjectArray<btVector3>& verticesOut )
{
const int numbrushes = planeEquations.size();
// brute force:
for (int i=0;i<numbrushes;i++)
{
const btVector3& N1 = planeEquations[i];
for (int j=i+1;j<numbrushes;j++)
{
const btVector3& N2 = planeEquations[j];
for (int k=j+1;k<numbrushes;k++)
{
const btVector3& N3 = planeEquations[k];
btVector3 n2n3; n2n3 = N2.cross(N3);
btVector3 n3n1; n3n1 = N3.cross(N1);
btVector3 n1n2; n1n2 = N1.cross(N2);
if ( ( n2n3.length2() > btScalar(0.0001) ) &&
( n3n1.length2() > btScalar(0.0001) ) &&
( n1n2.length2() > btScalar(0.0001) ) )
{
//point P out of 3 plane equations:
// d1 ( N2 * N3 ) + d2 ( N3 * N1 ) + d3 ( N1 * N2 )
//P = -------------------------------------------------------------------------
// N1 . ( N2 * N3 )
btScalar quotient = (N1.dot(n2n3));
if (btFabs(quotient) > btScalar(0.000001))
{
quotient = btScalar(-1.) / quotient;
n2n3 *= N1[3];
n3n1 *= N2[3];
n1n2 *= N3[3];
btVector3 potentialVertex = n2n3;
potentialVertex += n3n1;
potentialVertex += n1n2;
potentialVertex *= quotient;
//check if inside, and replace supportingVertexOut if needed
if (isPointInsidePlanes(planeEquations,potentialVertex,btScalar(0.01)))
{
verticesOut.push_back(potentialVertex);
}
}
}
}
}
}
}
btScalar btMultiBodyConstraintSolver::solveGroupCacheFriendlyFinish(btCollisionObject** bodies,int numBodies,const btContactSolverInfo& infoGlobal)
{
int numPoolConstraints = m_multiBodyNormalContactConstraints.size();
int j;
if (infoGlobal.m_solverMode & SOLVER_USE_WARMSTARTING)
{
for (j=0;j<numPoolConstraints;j++)
{
const btMultiBodySolverConstraint& solveManifold = m_multiBodyNormalContactConstraints[j];
btManifoldPoint* pt = (btManifoldPoint*) solveManifold.m_originalContactPoint;
btAssert(pt);
pt->m_appliedImpulse = solveManifold.m_appliedImpulse;
pt->m_appliedImpulseLateral1 = m_multiBodyFrictionContactConstraints[solveManifold.m_frictionIndex].m_appliedImpulse;
//printf("pt->m_appliedImpulseLateral1 = %f\n", pt->m_appliedImpulseLateral1);
if ((infoGlobal.m_solverMode & SOLVER_USE_2_FRICTION_DIRECTIONS))
{
pt->m_appliedImpulseLateral2 = m_multiBodyFrictionContactConstraints[solveManifold.m_frictionIndex+1].m_appliedImpulse;
}
//do a callback here?
}
}
numPoolConstraints = m_multiBodyNonContactConstraints.size();
#if 0
//@todo: m_originalContactPoint is not initialized for btMultiBodySolverConstraint
for (int i=0;i<numPoolConstraints;i++)
{
const btMultiBodySolverConstraint& c = m_multiBodyNonContactConstraints[i];
btTypedConstraint* constr = (btTypedConstraint*)c.m_originalContactPoint;
btJointFeedback* fb = constr->getJointFeedback();
if (fb)
{
fb->m_appliedForceBodyA += c.m_contactNormal1*c.m_appliedImpulse*constr->getRigidBodyA().getLinearFactor()/infoGlobal.m_timeStep;
fb->m_appliedForceBodyB += c.m_contactNormal2*c.m_appliedImpulse*constr->getRigidBodyB().getLinearFactor()/infoGlobal.m_timeStep;
fb->m_appliedTorqueBodyA += c.m_relpos1CrossNormal* constr->getRigidBodyA().getAngularFactor()*c.m_appliedImpulse/infoGlobal.m_timeStep;
fb->m_appliedTorqueBodyB += c.m_relpos2CrossNormal* constr->getRigidBodyB().getAngularFactor()*c.m_appliedImpulse/infoGlobal.m_timeStep; /*RGM ???? */
}
constr->internalSetAppliedImpulse(c.m_appliedImpulse);
if (btFabs(c.m_appliedImpulse)>=constr->getBreakingImpulseThreshold())
{
constr->setEnabled(false);
}
}
#endif
return btSequentialImpulseConstraintSolver::solveGroupCacheFriendlyFinish(bodies,numBodies,infoGlobal);
}
//bilateral constraint between two dynamic objects
void resolveSingleBilateral(btRigidBody& body1, const btVector3& pos1,
btRigidBody& body2, const btVector3& pos2,
btScalar distance, const btVector3& normal,btScalar& impulse ,btScalar timeStep)
{
(void)timeStep;
(void)distance;
btScalar normalLenSqr = normal.length2();
btAssert(btFabs(normalLenSqr) < btScalar(1.1));
if (normalLenSqr > btScalar(1.1))
{
impulse = btScalar(0.);
return;
}
btVector3 rel_pos1 = pos1 - body1.getCenterOfMassPosition();
btVector3 rel_pos2 = pos2 - body2.getCenterOfMassPosition();
//this jacobian entry could be re-used for all iterations
btVector3 vel1 = body1.getVelocityInLocalPoint(rel_pos1);
btVector3 vel2 = body2.getVelocityInLocalPoint(rel_pos2);
btVector3 vel = vel1 - vel2;
btJacobianEntry jac(body1.getCenterOfMassTransform().getBasis().transpose(),
body2.getCenterOfMassTransform().getBasis().transpose(),
rel_pos1,rel_pos2,normal,body1.getInvInertiaDiagLocal(),body1.getInvMass(),
body2.getInvInertiaDiagLocal(),body2.getInvMass());
btScalar jacDiagAB = jac.getDiagonal();
btScalar jacDiagABInv = btScalar(1.) / jacDiagAB;
btScalar rel_vel = jac.getRelativeVelocity(
body1.getLinearVelocity(),
body1.getCenterOfMassTransform().getBasis().transpose() * body1.getAngularVelocity(),
body2.getLinearVelocity(),
body2.getCenterOfMassTransform().getBasis().transpose() * body2.getAngularVelocity());
btScalar a;
a=jacDiagABInv;
rel_vel = normal.dot(vel);
//todo: move this into proper structure
btScalar contactDamping = btScalar(0.2);
#ifdef ONLY_USE_LINEAR_MASS
btScalar massTerm = btScalar(1.) / (body1.getInvMass() + body2.getInvMass());
impulse = - contactDamping * rel_vel * massTerm;
#else
btScalar velocityImpulse = -contactDamping * rel_vel * jacDiagABInv;
impulse = velocityImpulse;
#endif
}
static btScalar btShortestAngleUpdate(btScalar accAngle, btScalar curAngle)
{
btScalar tol(0.3);
btScalar result = btShortestAngularDistance(accAngle, curAngle);
if (btFabs(result) > tol)
return curAngle;
else
return accAngle + result;
return curAngle;
}
void CubeGeometry::setColorBase(Node *node)
{
unsigned long index = getGeometryIndex(node);
if(m_VertexData)
{
btVector4 c(btFabs(node->getColorBase().x()),
btFabs(node->getColorBase().y()),
btFabs(node->getColorBase().z()),
btFabs(node->getColorBase().w()));
m_VertexData[index].blf.color = c;
m_VertexData[index].brf.color = c;
m_VertexData[index].tlf.color = c;
m_VertexData[index].trf.color = c;
m_VertexData[index].blb.color = c;
m_VertexData[index].brb.color = c;
m_VertexData[index].tlb.color = c;
m_VertexData[index].trb.color = c;
}
}
void Tire::findSigmaHatAlphaHat(
btScalar load,
btScalar & output_sigmahat,
btScalar & output_alphahat,
int iterations)
{
btScalar Fz = load;
btScalar Fz0 = nominal_load;
btScalar dFz = (Fz - Fz0) / Fz0;
btScalar camber = 0.0;
btScalar mu = 1.0;
btScalar Dy, BCy, Shf; // unused
btScalar Fxmax = 0.0;
btScalar smax = 2.0;
for (btScalar s = -smax; s < smax; s += 2 * smax / iterations)
{
btScalar Fx = PacejkaFx(s, Fz, dFz, mu);
if (Fx > Fxmax)
{
output_sigmahat = btFabs(s);
Fxmax = Fx;
}
}
btScalar Fymax = 0.0;
btScalar amax = 30.0 * (M_PI / 180.0);
for (btScalar a = -amax; a < amax; a += 2 * amax / iterations)
{
btScalar Fy = PacejkaFy(a, camber, Fz, dFz, mu, Dy, BCy, Shf);
if (Fy > Fymax)
{
output_alphahat = btFabs(a);
Fymax = Fy;
}
}
}
btScalar Tire::PacejkaFy(btScalar alpha, btScalar Fz, btScalar gamma, btScalar friction_coeff, btScalar & max_Fy) const
{
const std::vector<btScalar> & a = lateral;
// shape factor
btScalar C = a[0];
// peak factor
btScalar D = (a[1] * Fz + a[2]) * Fz;
// peak factor 1993
// D = D * (1 - a[15] * gamma * gamma);
// slope at origin
btScalar BCD = a[3] * sin(2.0 * atan(Fz / a[4])) * (1.0 - a[5] * btFabs(gamma));
// stiffness factor
btScalar B = BCD / (C * D);
// curvature factor
btScalar E = a[6] * Fz + a[7];
// curvature factor 1993
// E = E * (1 - (a[16] * gamma + a[17]) * sgn(alpha + Sh));
// horizontal shift
btScalar Sh = a[8] * gamma + a[9] * Fz + a[10];
// horizontal shift 1993
// Sh = a[8] * Fz + a[9] + a[10] * gamma;
// vertical shift
btScalar Sv = ((a[11] * Fz + a[12]) * gamma + a[13]) * Fz + a[14];
// vertical shift 1993
// Sv = a[11] * Fz + a[12] + (a[13] * Fz * Fz + a[14] * Fz) * gamma;
// composite
btScalar S = alpha + Sh;
// lateral force
btScalar Fy = D * sin(C * atan(B * S - E * (B * S - atan(B * S)))) + Sv;
// scale by surface friction
Fy = Fy * friction_coeff;
max_Fy = (D + Sv) * friction_coeff;
return Fy;
}
void btGeneric6DofSpringConstraint::internalUpdateSprings(btConstraintInfo2* info)
{
// it is assumed that calculateTransforms() have been called before this call
int i;
btVector3 relVel = m_rbB.getLinearVelocity() - m_rbA.getLinearVelocity();
for(i = 0; i < 3; i++)
{
if(m_springEnabled[i])
{
// get current position of constraint
btScalar currPos = m_calculatedLinearDiff[i];
// calculate difference
btScalar delta = currPos - m_equilibriumPoint[i];
// spring force is (delta * m_stiffness) according to Hooke's Law
btScalar force = delta * m_springStiffness[i];
btScalar velFactor = info->fps * m_springDamping[i] / btScalar(info->m_numIterations);
m_linearLimits.m_targetVelocity[i] = velFactor * force;
m_linearLimits.m_maxMotorForce[i] = btFabs(force) / info->fps;
}
}
for(i = 0; i < 3; i++)
{
if(m_springEnabled[i + 3])
{
// get current position of constraint
btScalar currPos = m_calculatedAxisAngleDiff[i];
// calculate difference
btScalar delta = currPos - m_equilibriumPoint[i+3];
// spring force is (-delta * m_stiffness) according to Hooke's Law
btScalar force = -delta * m_springStiffness[i+3];
btScalar velFactor = info->fps * m_springDamping[i+3] / btScalar(info->m_numIterations);
m_angularLimits[i].m_targetVelocity = velFactor * force;
m_angularLimits[i].m_maxMotorForce = btFabs(force) / info->fps;
}
}
}
void Voronoi::getVerticesInsidePlanes(const vector<btVector3>& planes, vector<btVector3>& verticesOut, std::set<int>& planeIndicesOut)
{
// Based on btGeometryUtil.cpp (Gino van den Bergen / Erwin Coumans)
verticesOut.resize(0);
planeIndicesOut.clear();
const int numPlanes = planes.size();
int i, j, k, l;
for (i=0;i<numPlanes;i++)
{
const btVector3& N1 = planes[i];
for (j=i+1;j<numPlanes;j++)
{
const btVector3& N2 = planes[j];
btVector3 n1n2 = N1.cross(N2);
if (n1n2.length2() > btScalar(0.0001))
{
for (k=j+1;k<numPlanes;k++)
{
const btVector3& N3 = planes[k];
btVector3 n2n3 = N2.cross(N3);
btVector3 n3n1 = N3.cross(N1);
if ((n2n3.length2() > btScalar(0.0001)) && (n3n1.length2() > btScalar(0.0001) ))
{
btScalar quotient = (N1.dot(n2n3));
if (btFabs(quotient) > btScalar(0.0001))
{
btVector3 potentialVertex = (n2n3 * N1[3] + n3n1 * N2[3] + n1n2 * N3[3]) * (btScalar(-1.) / quotient);
for (l=0; l<numPlanes; l++)
{
const btVector3& NP = planes[l];
if (btScalar(NP.dot(potentialVertex))+btScalar(NP[3]) > btScalar(0.000001))
break;
}
if (l == numPlanes)
{
// vertex (three plane intersection) inside all planes
verticesOut.push_back(potentialVertex);
planeIndicesOut.insert(i);
planeIndicesOut.insert(j);
planeIndicesOut.insert(k);
}
}
}
}
}
}
}
}
virtual void internalProcessTriangleIndex(btVector3* triangle, int partId, int triangleIndex)
{
(void)triangleIndex;
(void)partId;
if (first)
{
ref = triangle[0];
first = false;
}
else
{
btScalar vol = btFabs((triangle[0] - ref).triple(triangle[1] - ref, triangle[2] - ref));
sum += (btScalar(0.25) * vol) * ((triangle[0] + triangle[1] + triangle[2] + ref));
volume += vol;
}
}
//bilateral constraint between two dynamic objects
void RaycastCar::resolveSingleBilateral(btRigidBody & body1,
const btVector3 & pos1,
btRigidBody & body2,
const btVector3 & pos2,
const btVector3 & normal,
btScalar & impulse)
{
btScalar normalLenSqr = normal.length2();
btAssert(btFabs(normalLenSqr) < btScalar(1.1f));
if (normalLenSqr > btScalar(1.1f))
{
impulse = btScalar(0.0f);
return;
}
btVector3 rel_pos1 = pos1 - body1.getCenterOfMassPosition();
btVector3 rel_pos2 = pos2 - body2.getCenterOfMassPosition();
btJacobianEntry jac(body1.getCenterOfMassTransform().getBasis().transpose(),
body2.getCenterOfMassTransform().getBasis().transpose(),
rel_pos1,
rel_pos2,
normal,
body1.getInvInertiaDiagLocal(),
body1.getInvMass(),
body2.getInvInertiaDiagLocal(),
body2.getInvMass());
btScalar jacDiagAB = jac.getDiagonal();
btScalar jacDiagABInv = btScalar(1.0f) / jacDiagAB;
btScalar rel_vel = jac.getRelativeVelocity
(body1.getLinearVelocity(),
body1.getCenterOfMassTransform().getBasis().transpose()*body1.getAngularVelocity(),
body2.getLinearVelocity(),
body2.getCenterOfMassTransform().getBasis().transpose()*body2.getAngularVelocity());
btScalar velocityImpulse = -1.0f * rel_vel * jacDiagABInv;
impulse = velocityImpulse;
}
/// Changes a btManifoldPoint collision normal to the normal from the mesh.
void btAdjustInternalEdgeContacts(btManifoldPoint& cp, const btCollisionObjectWrapper* colObj0Wrap,const btCollisionObjectWrapper* colObj1Wrap, int partId0, int index0, int normalAdjustFlags)
{
//btAssert(colObj0->getCollisionShape()->getShapeType() == TRIANGLE_SHAPE_PROXYTYPE);
if (colObj0Wrap->getCollisionShape()->getShapeType() != TRIANGLE_SHAPE_PROXYTYPE)
return;
btBvhTriangleMeshShape* trimesh = 0;
if( colObj0Wrap->getCollisionObject()->getCollisionShape()->getShapeType() == SCALED_TRIANGLE_MESH_SHAPE_PROXYTYPE )
{
trimesh = ((btScaledBvhTriangleMeshShape*)colObj0Wrap->getCollisionObject()->getCollisionShape())->getChildShape();
}
else
{
if (colObj0Wrap->getCollisionObject()->getCollisionShape()->getShapeType()==TRIANGLE_MESH_SHAPE_PROXYTYPE)
{
trimesh = (btBvhTriangleMeshShape*)colObj0Wrap->getCollisionObject()->getCollisionShape();
}
}
if (trimesh==0)
return;
btTriangleInfoMap* triangleInfoMapPtr = (btTriangleInfoMap*) trimesh->getTriangleInfoMap();
if (!triangleInfoMapPtr)
return;
int hash = btGetHash(partId0,index0);
btTriangleInfo* info = triangleInfoMapPtr->find(hash);
if (!info)
return;
btScalar frontFacing = (normalAdjustFlags & BT_TRIANGLE_CONVEX_BACKFACE_MODE)==0? 1.f : -1.f;
const btTriangleShape* tri_shape = static_cast<const btTriangleShape*>(colObj0Wrap->getCollisionShape());
btVector3 v0,v1,v2;
tri_shape->getVertex(0,v0);
tri_shape->getVertex(1,v1);
tri_shape->getVertex(2,v2);
//btVector3 center = (v0+v1+v2)*btScalar(1./3.);
btVector3 red(1,0,0), green(0,1,0),blue(0,0,1),white(1,1,1),black(0,0,0);
btVector3 tri_normal;
tri_shape->calcNormal(tri_normal);
//btScalar dot = tri_normal.dot(cp.m_normalWorldOnB);
btVector3 nearest;
btNearestPointInLineSegment(cp.m_localPointB,v0,v1,nearest);
btVector3 contact = cp.m_localPointB;
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
const btTransform& tr = colObj0->getWorldTransform();
btDebugDrawLine(tr*nearest,tr*cp.m_localPointB,red);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
bool isNearEdge = false;
int numConcaveEdgeHits = 0;
int numConvexEdgeHits = 0;
btVector3 localContactNormalOnB = colObj0Wrap->getWorldTransform().getBasis().transpose() * cp.m_normalWorldOnB;
localContactNormalOnB.normalize();//is this necessary?
// Get closest edge
int bestedge=-1;
btScalar disttobestedge=BT_LARGE_FLOAT;
//
// Edge 0 -> 1
if (btFabs(info->m_edgeV0V1Angle)< triangleInfoMapPtr->m_maxEdgeAngleThreshold)
{
btVector3 nearest;
btNearestPointInLineSegment( cp.m_localPointB, v0, v1, nearest );
btScalar len=(contact-nearest).length();
//
if( len < disttobestedge )
{
bestedge=0;
disttobestedge=len;
}
}
// Edge 1 -> 2
if (btFabs(info->m_edgeV1V2Angle)< triangleInfoMapPtr->m_maxEdgeAngleThreshold)
{
btVector3 nearest;
btNearestPointInLineSegment( cp.m_localPointB, v1, v2, nearest );
btScalar len=(contact-nearest).length();
//
if( len < disttobestedge )
{
bestedge=1;
disttobestedge=len;
}
}
// Edge 2 -> 0
if (btFabs(info->m_edgeV2V0Angle)< triangleInfoMapPtr->m_maxEdgeAngleThreshold)
{
btVector3 nearest;
btNearestPointInLineSegment( cp.m_localPointB, v2, v0, nearest );
btScalar len=(contact-nearest).length();
//
if( len < disttobestedge )
{
bestedge=2;
disttobestedge=len;
}
}
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btVector3 upfix=tri_normal * btVector3(0.1f,0.1f,0.1f);
btDebugDrawLine(tr * v0 + upfix, tr * v1 + upfix, red );
#endif
if (btFabs(info->m_edgeV0V1Angle)< triangleInfoMapPtr->m_maxEdgeAngleThreshold)
{
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*contact,tr*(contact+cp.m_normalWorldOnB*10),black);
#endif
btScalar len = (contact-nearest).length();
if(len<triangleInfoMapPtr->m_edgeDistanceThreshold)
if( bestedge==0 )
{
btVector3 edge(v0-v1);
isNearEdge = true;
if (info->m_edgeV0V1Angle==btScalar(0))
{
numConcaveEdgeHits++;
} else
{
bool isEdgeConvex = (info->m_flags & TRI_INFO_V0V1_CONVEX);
btScalar swapFactor = isEdgeConvex ? btScalar(1) : btScalar(-1);
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*(nearest+swapFactor*tri_normal*10),white);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btVector3 nA = swapFactor * tri_normal;
btQuaternion orn(edge,info->m_edgeV0V1Angle);
btVector3 computedNormalB = quatRotate(orn,tri_normal);
if (info->m_flags & TRI_INFO_V0V1_SWAP_NORMALB)
computedNormalB*=-1;
btVector3 nB = swapFactor*computedNormalB;
btScalar NdotA = localContactNormalOnB.dot(nA);
btScalar NdotB = localContactNormalOnB.dot(nB);
bool backFacingNormal = (NdotA< triangleInfoMapPtr->m_convexEpsilon) && (NdotB<triangleInfoMapPtr->m_convexEpsilon);
#ifdef DEBUG_INTERNAL_EDGE
{
btDebugDrawLine(cp.getPositionWorldOnB(),cp.getPositionWorldOnB()+tr.getBasis()*(nB*20),red);
}
#endif //DEBUG_INTERNAL_EDGE
if (backFacingNormal)
{
numConcaveEdgeHits++;
}
else
{
numConvexEdgeHits++;
btVector3 clampedLocalNormal;
bool isClamped = btClampNormal(edge,swapFactor*tri_normal,localContactNormalOnB, info->m_edgeV0V1Angle,clampedLocalNormal);
if (isClamped)
{
if (((normalAdjustFlags & BT_TRIANGLE_CONVEX_DOUBLE_SIDED)!=0) || (clampedLocalNormal.dot(frontFacing*tri_normal)>0))
{
btVector3 newNormal = colObj0Wrap->getWorldTransform().getBasis() * clampedLocalNormal;
// cp.m_distance1 = cp.m_distance1 * newNormal.dot(cp.m_normalWorldOnB);
cp.m_normalWorldOnB = newNormal;
// Reproject collision point along normal. (what about cp.m_distance1?)
cp.m_positionWorldOnB = cp.m_positionWorldOnA - cp.m_normalWorldOnB * cp.m_distance1;
cp.m_localPointB = colObj0Wrap->getWorldTransform().invXform(cp.m_positionWorldOnB);
}
}
}
}
}
}
btNearestPointInLineSegment(contact,v1,v2,nearest);
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*cp.m_localPointB,green);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr * v1 + upfix, tr * v2 + upfix , green );
#endif
if (btFabs(info->m_edgeV1V2Angle)< triangleInfoMapPtr->m_maxEdgeAngleThreshold)
{
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*contact,tr*(contact+cp.m_normalWorldOnB*10),black);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btScalar len = (contact-nearest).length();
if(len<triangleInfoMapPtr->m_edgeDistanceThreshold)
if( bestedge==1 )
{
isNearEdge = true;
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*(nearest+tri_normal*10),white);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btVector3 edge(v1-v2);
isNearEdge = true;
if (info->m_edgeV1V2Angle == btScalar(0))
{
numConcaveEdgeHits++;
} else
{
bool isEdgeConvex = (info->m_flags & TRI_INFO_V1V2_CONVEX)!=0;
btScalar swapFactor = isEdgeConvex ? btScalar(1) : btScalar(-1);
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*(nearest+swapFactor*tri_normal*10),white);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btVector3 nA = swapFactor * tri_normal;
btQuaternion orn(edge,info->m_edgeV1V2Angle);
btVector3 computedNormalB = quatRotate(orn,tri_normal);
if (info->m_flags & TRI_INFO_V1V2_SWAP_NORMALB)
computedNormalB*=-1;
btVector3 nB = swapFactor*computedNormalB;
#ifdef DEBUG_INTERNAL_EDGE
{
btDebugDrawLine(cp.getPositionWorldOnB(),cp.getPositionWorldOnB()+tr.getBasis()*(nB*20),red);
}
#endif //DEBUG_INTERNAL_EDGE
btScalar NdotA = localContactNormalOnB.dot(nA);
btScalar NdotB = localContactNormalOnB.dot(nB);
bool backFacingNormal = (NdotA< triangleInfoMapPtr->m_convexEpsilon) && (NdotB<triangleInfoMapPtr->m_convexEpsilon);
if (backFacingNormal)
{
numConcaveEdgeHits++;
}
else
{
numConvexEdgeHits++;
btVector3 localContactNormalOnB = colObj0Wrap->getWorldTransform().getBasis().transpose() * cp.m_normalWorldOnB;
btVector3 clampedLocalNormal;
bool isClamped = btClampNormal(edge,swapFactor*tri_normal,localContactNormalOnB, info->m_edgeV1V2Angle,clampedLocalNormal);
if (isClamped)
{
if (((normalAdjustFlags & BT_TRIANGLE_CONVEX_DOUBLE_SIDED)!=0) || (clampedLocalNormal.dot(frontFacing*tri_normal)>0))
{
btVector3 newNormal = colObj0Wrap->getWorldTransform().getBasis() * clampedLocalNormal;
// cp.m_distance1 = cp.m_distance1 * newNormal.dot(cp.m_normalWorldOnB);
cp.m_normalWorldOnB = newNormal;
// Reproject collision point along normal.
cp.m_positionWorldOnB = cp.m_positionWorldOnA - cp.m_normalWorldOnB * cp.m_distance1;
cp.m_localPointB = colObj0Wrap->getWorldTransform().invXform(cp.m_positionWorldOnB);
}
}
}
}
}
}
btNearestPointInLineSegment(contact,v2,v0,nearest);
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*cp.m_localPointB,blue);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr * v2 + upfix, tr * v0 + upfix , blue );
#endif
if (btFabs(info->m_edgeV2V0Angle)< triangleInfoMapPtr->m_maxEdgeAngleThreshold)
{
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*contact,tr*(contact+cp.m_normalWorldOnB*10),black);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btScalar len = (contact-nearest).length();
if(len<triangleInfoMapPtr->m_edgeDistanceThreshold)
if( bestedge==2 )
{
isNearEdge = true;
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*(nearest+tri_normal*10),white);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btVector3 edge(v2-v0);
if (info->m_edgeV2V0Angle==btScalar(0))
{
numConcaveEdgeHits++;
} else
{
bool isEdgeConvex = (info->m_flags & TRI_INFO_V2V0_CONVEX)!=0;
btScalar swapFactor = isEdgeConvex ? btScalar(1) : btScalar(-1);
#ifdef BT_INTERNAL_EDGE_DEBUG_DRAW
btDebugDrawLine(tr*nearest,tr*(nearest+swapFactor*tri_normal*10),white);
#endif //BT_INTERNAL_EDGE_DEBUG_DRAW
btVector3 nA = swapFactor * tri_normal;
btQuaternion orn(edge,info->m_edgeV2V0Angle);
btVector3 computedNormalB = quatRotate(orn,tri_normal);
if (info->m_flags & TRI_INFO_V2V0_SWAP_NORMALB)
computedNormalB*=-1;
btVector3 nB = swapFactor*computedNormalB;
#ifdef DEBUG_INTERNAL_EDGE
{
btDebugDrawLine(cp.getPositionWorldOnB(),cp.getPositionWorldOnB()+tr.getBasis()*(nB*20),red);
}
#endif //DEBUG_INTERNAL_EDGE
btScalar NdotA = localContactNormalOnB.dot(nA);
btScalar NdotB = localContactNormalOnB.dot(nB);
bool backFacingNormal = (NdotA< triangleInfoMapPtr->m_convexEpsilon) && (NdotB<triangleInfoMapPtr->m_convexEpsilon);
if (backFacingNormal)
{
numConcaveEdgeHits++;
}
else
{
numConvexEdgeHits++;
// printf("hitting convex edge\n");
btVector3 localContactNormalOnB = colObj0Wrap->getWorldTransform().getBasis().transpose() * cp.m_normalWorldOnB;
btVector3 clampedLocalNormal;
bool isClamped = btClampNormal(edge,swapFactor*tri_normal,localContactNormalOnB,info->m_edgeV2V0Angle,clampedLocalNormal);
if (isClamped)
{
if (((normalAdjustFlags & BT_TRIANGLE_CONVEX_DOUBLE_SIDED)!=0) || (clampedLocalNormal.dot(frontFacing*tri_normal)>0))
{
btVector3 newNormal = colObj0Wrap->getWorldTransform().getBasis() * clampedLocalNormal;
// cp.m_distance1 = cp.m_distance1 * newNormal.dot(cp.m_normalWorldOnB);
cp.m_normalWorldOnB = newNormal;
// Reproject collision point along normal.
cp.m_positionWorldOnB = cp.m_positionWorldOnA - cp.m_normalWorldOnB * cp.m_distance1;
cp.m_localPointB = colObj0Wrap->getWorldTransform().invXform(cp.m_positionWorldOnB);
}
}
}
}
}
}
#ifdef DEBUG_INTERNAL_EDGE
{
btVector3 color(0,1,1);
btDebugDrawLine(cp.getPositionWorldOnB(),cp.getPositionWorldOnB()+cp.m_normalWorldOnB*10,color);
}
#endif //DEBUG_INTERNAL_EDGE
if (isNearEdge)
{
if (numConcaveEdgeHits>0)
{
if ((normalAdjustFlags & BT_TRIANGLE_CONCAVE_DOUBLE_SIDED)!=0)
{
//fix tri_normal so it pointing the same direction as the current local contact normal
if (tri_normal.dot(localContactNormalOnB) < 0)
{
tri_normal *= -1;
}
cp.m_normalWorldOnB = colObj0Wrap->getWorldTransform().getBasis()*tri_normal;
} else
{
btVector3 newNormal = tri_normal *frontFacing;
//if the tri_normal is pointing opposite direction as the current local contact normal, skip it
btScalar d = newNormal.dot(localContactNormalOnB) ;
if (d< 0)
{
return;
}
//modify the normal to be the triangle normal (or backfacing normal)
cp.m_normalWorldOnB = colObj0Wrap->getWorldTransform().getBasis() *newNormal;
}
// Reproject collision point along normal.
cp.m_positionWorldOnB = cp.m_positionWorldOnA - cp.m_normalWorldOnB * cp.m_distance1;
cp.m_localPointB = colObj0Wrap->getWorldTransform().invXform(cp.m_positionWorldOnB);
}
}
}
void btSliderConstraint::getInfo2NonVirtual(btConstraintInfo2* info, const btTransform& transA,const btTransform& transB, const btVector3& linVelA,const btVector3& linVelB, btScalar rbAinvMass,btScalar rbBinvMass )
{
const btTransform& trA = getCalculatedTransformA();
const btTransform& trB = getCalculatedTransformB();
btAssert(!m_useSolveConstraintObsolete);
int i, s = info->rowskip;
btScalar signFact = m_useLinearReferenceFrameA ? btScalar(1.0f) : btScalar(-1.0f);
// difference between frames in WCS
btVector3 ofs = trB.getOrigin() - trA.getOrigin();
// now get weight factors depending on masses
btScalar miA = rbAinvMass;
btScalar miB = rbBinvMass;
bool hasStaticBody = (miA < SIMD_EPSILON) || (miB < SIMD_EPSILON);
btScalar miS = miA + miB;
btScalar factA, factB;
if(miS > btScalar(0.f))
{
factA = miB / miS;
}
else
{
factA = btScalar(0.5f);
}
factB = btScalar(1.0f) - factA;
btVector3 ax1, p, q;
btVector3 ax1A = trA.getBasis().getColumn(0);
btVector3 ax1B = trB.getBasis().getColumn(0);
if(m_useOffsetForConstraintFrame)
{
// get the desired direction of slider axis
// as weighted sum of X-orthos of frameA and frameB in WCS
ax1 = ax1A * factA + ax1B * factB;
ax1.normalize();
// construct two orthos to slider axis
btPlaneSpace1 (ax1, p, q);
}
else
{ // old way - use frameA
ax1 = trA.getBasis().getColumn(0);
// get 2 orthos to slider axis (Y, Z)
p = trA.getBasis().getColumn(1);
q = trA.getBasis().getColumn(2);
}
// make rotations around these orthos equal
// the slider axis should be the only unconstrained
// rotational axis, the angular velocity of the two bodies perpendicular to
// the slider axis should be equal. thus the constraint equations are
// p*w1 - p*w2 = 0
// q*w1 - q*w2 = 0
// where p and q are unit vectors normal to the slider axis, and w1 and w2
// are the angular velocity vectors of the two bodies.
info->m_J1angularAxis[0] = p[0];
info->m_J1angularAxis[1] = p[1];
info->m_J1angularAxis[2] = p[2];
info->m_J1angularAxis[s+0] = q[0];
info->m_J1angularAxis[s+1] = q[1];
info->m_J1angularAxis[s+2] = q[2];
info->m_J2angularAxis[0] = -p[0];
info->m_J2angularAxis[1] = -p[1];
info->m_J2angularAxis[2] = -p[2];
info->m_J2angularAxis[s+0] = -q[0];
info->m_J2angularAxis[s+1] = -q[1];
info->m_J2angularAxis[s+2] = -q[2];
// compute the right hand side of the constraint equation. set relative
// body velocities along p and q to bring the slider back into alignment.
// if ax1A,ax1B are the unit length slider axes as computed from bodyA and
// bodyB, we need to rotate both bodies along the axis u = (ax1 x ax2).
// if "theta" is the angle between ax1 and ax2, we need an angular velocity
// along u to cover angle erp*theta in one step :
// |angular_velocity| = angle/time = erp*theta / stepsize
// = (erp*fps) * theta
// angular_velocity = |angular_velocity| * (ax1 x ax2) / |ax1 x ax2|
// = (erp*fps) * theta * (ax1 x ax2) / sin(theta)
// ...as ax1 and ax2 are unit length. if theta is smallish,
// theta ~= sin(theta), so
// angular_velocity = (erp*fps) * (ax1 x ax2)
// ax1 x ax2 is in the plane space of ax1, so we project the angular
// velocity to p and q to find the right hand side.
// btScalar k = info->fps * info->erp * getSoftnessOrthoAng();
btScalar currERP = (m_flags & BT_SLIDER_FLAGS_ERP_ORTANG) ? m_softnessOrthoAng : m_softnessOrthoAng * info->erp;
btScalar k = info->fps * currERP;
btVector3 u = ax1A.cross(ax1B);
info->m_constraintError[0] = k * u.dot(p);
info->m_constraintError[s] = k * u.dot(q);
if(m_flags & BT_SLIDER_FLAGS_CFM_ORTANG)
{
info->cfm[0] = m_cfmOrthoAng;
info->cfm[s] = m_cfmOrthoAng;
}
int nrow = 1; // last filled row
int srow;
btScalar limit_err;
int limit;
int powered;
// next two rows.
// we want: velA + wA x relA == velB + wB x relB ... but this would
// result in three equations, so we project along two orthos to the slider axis
btTransform bodyA_trans = transA;
btTransform bodyB_trans = transB;
nrow++;
int s2 = nrow * s;
nrow++;
int s3 = nrow * s;
btVector3 tmpA(0,0,0), tmpB(0,0,0), relA(0,0,0), relB(0,0,0), c(0,0,0);
if(m_useOffsetForConstraintFrame)
{
// get vector from bodyB to frameB in WCS
relB = trB.getOrigin() - bodyB_trans.getOrigin();
// get its projection to slider axis
btVector3 projB = ax1 * relB.dot(ax1);
// get vector directed from bodyB to slider axis (and orthogonal to it)
btVector3 orthoB = relB - projB;
// same for bodyA
relA = trA.getOrigin() - bodyA_trans.getOrigin();
btVector3 projA = ax1 * relA.dot(ax1);
btVector3 orthoA = relA - projA;
// get desired offset between frames A and B along slider axis
btScalar sliderOffs = m_linPos - m_depth[0];
// desired vector from projection of center of bodyA to projection of center of bodyB to slider axis
btVector3 totalDist = projA + ax1 * sliderOffs - projB;
// get offset vectors relA and relB
relA = orthoA + totalDist * factA;
relB = orthoB - totalDist * factB;
// now choose average ortho to slider axis
p = orthoB * factA + orthoA * factB;
btScalar len2 = p.length2();
if(len2 > SIMD_EPSILON)
{
p /= btSqrt(len2);
}
else
{
p = trA.getBasis().getColumn(1);
}
// make one more ortho
q = ax1.cross(p);
// fill two rows
tmpA = relA.cross(p);
tmpB = relB.cross(p);
for (i=0; i<3; i++) info->m_J1angularAxis[s2+i] = tmpA[i];
for (i=0; i<3; i++) info->m_J2angularAxis[s2+i] = -tmpB[i];
tmpA = relA.cross(q);
tmpB = relB.cross(q);
if(hasStaticBody && getSolveAngLimit())
{ // to make constraint between static and dynamic objects more rigid
// remove wA (or wB) from equation if angular limit is hit
tmpB *= factB;
tmpA *= factA;
}
for (i=0; i<3; i++) info->m_J1angularAxis[s3+i] = tmpA[i];
for (i=0; i<3; i++) info->m_J2angularAxis[s3+i] = -tmpB[i];
for (i=0; i<3; i++) info->m_J1linearAxis[s2+i] = p[i];
for (i=0; i<3; i++) info->m_J1linearAxis[s3+i] = q[i];
for (i=0; i<3; i++) info->m_J2linearAxis[s2+i] = -p[i];
for (i=0; i<3; i++) info->m_J2linearAxis[s3+i] = -q[i];
}
else
{ // old way - maybe incorrect if bodies are not on the slider axis
// see discussion "Bug in slider constraint" http://bulletphysics.org/Bullet/phpBB3/viewtopic.php?f=9&t=4024&start=0
c = bodyB_trans.getOrigin() - bodyA_trans.getOrigin();
btVector3 tmp = c.cross(p);
for (i=0; i<3; i++) info->m_J1angularAxis[s2+i] = factA*tmp[i];
for (i=0; i<3; i++) info->m_J2angularAxis[s2+i] = factB*tmp[i];
tmp = c.cross(q);
for (i=0; i<3; i++) info->m_J1angularAxis[s3+i] = factA*tmp[i];
for (i=0; i<3; i++) info->m_J2angularAxis[s3+i] = factB*tmp[i];
for (i=0; i<3; i++) info->m_J1linearAxis[s2+i] = p[i];
for (i=0; i<3; i++) info->m_J1linearAxis[s3+i] = q[i];
for (i=0; i<3; i++) info->m_J2linearAxis[s2+i] = -p[i];
for (i=0; i<3; i++) info->m_J2linearAxis[s3+i] = -q[i];
}
// compute two elements of right hand side
// k = info->fps * info->erp * getSoftnessOrthoLin();
currERP = (m_flags & BT_SLIDER_FLAGS_ERP_ORTLIN) ? m_softnessOrthoLin : m_softnessOrthoLin * info->erp;
k = info->fps * currERP;
btScalar rhs = k * p.dot(ofs);
info->m_constraintError[s2] = rhs;
rhs = k * q.dot(ofs);
info->m_constraintError[s3] = rhs;
if(m_flags & BT_SLIDER_FLAGS_CFM_ORTLIN)
{
info->cfm[s2] = m_cfmOrthoLin;
info->cfm[s3] = m_cfmOrthoLin;
}
// check linear limits
limit_err = btScalar(0.0);
limit = 0;
if(getSolveLinLimit())
{
limit_err = getLinDepth() * signFact;
limit = (limit_err > btScalar(0.0)) ? 2 : 1;
}
powered = 0;
if(getPoweredLinMotor())
{
powered = 1;
}
// if the slider has joint limits or motor, add in the extra row
if (limit || powered)
{
nrow++;
srow = nrow * info->rowskip;
info->m_J1linearAxis[srow+0] = ax1[0];
info->m_J1linearAxis[srow+1] = ax1[1];
info->m_J1linearAxis[srow+2] = ax1[2];
info->m_J2linearAxis[srow+0] = -ax1[0];
info->m_J2linearAxis[srow+1] = -ax1[1];
info->m_J2linearAxis[srow+2] = -ax1[2];
// linear torque decoupling step:
//
// we have to be careful that the linear constraint forces (+/- ax1) applied to the two bodies
// do not create a torque couple. in other words, the points that the
// constraint force is applied at must lie along the same ax1 axis.
// a torque couple will result in limited slider-jointed free
// bodies from gaining angular momentum.
if(m_useOffsetForConstraintFrame)
{
// this is needed only when bodyA and bodyB are both dynamic.
if(!hasStaticBody)
{
tmpA = relA.cross(ax1);
tmpB = relB.cross(ax1);
info->m_J1angularAxis[srow+0] = tmpA[0];
info->m_J1angularAxis[srow+1] = tmpA[1];
info->m_J1angularAxis[srow+2] = tmpA[2];
info->m_J2angularAxis[srow+0] = -tmpB[0];
info->m_J2angularAxis[srow+1] = -tmpB[1];
info->m_J2angularAxis[srow+2] = -tmpB[2];
}
}
else
{ // The old way. May be incorrect if bodies are not on the slider axis
btVector3 ltd; // Linear Torque Decoupling vector (a torque)
ltd = c.cross(ax1);
info->m_J1angularAxis[srow+0] = factA*ltd[0];
info->m_J1angularAxis[srow+1] = factA*ltd[1];
info->m_J1angularAxis[srow+2] = factA*ltd[2];
info->m_J2angularAxis[srow+0] = factB*ltd[0];
info->m_J2angularAxis[srow+1] = factB*ltd[1];
info->m_J2angularAxis[srow+2] = factB*ltd[2];
}
// right-hand part
btScalar lostop = getLowerLinLimit();
btScalar histop = getUpperLinLimit();
if(limit && (lostop == histop))
{ // the joint motor is ineffective
powered = 0;
}
info->m_constraintError[srow] = 0.;
info->m_lowerLimit[srow] = 0.;
info->m_upperLimit[srow] = 0.;
currERP = (m_flags & BT_SLIDER_FLAGS_ERP_LIMLIN) ? m_softnessLimLin : info->erp;
if(powered)
{
if(m_flags & BT_SLIDER_FLAGS_CFM_DIRLIN)
{
info->cfm[srow] = m_cfmDirLin;
}
btScalar tag_vel = getTargetLinMotorVelocity();
btScalar mot_fact = getMotorFactor(m_linPos, m_lowerLinLimit, m_upperLinLimit, tag_vel, info->fps * currERP);
info->m_constraintError[srow] -= signFact * mot_fact * getTargetLinMotorVelocity();
info->m_lowerLimit[srow] += -getMaxLinMotorForce() * info->fps;
info->m_upperLimit[srow] += getMaxLinMotorForce() * info->fps;
}
if(limit)
{
k = info->fps * currERP;
info->m_constraintError[srow] += k * limit_err;
if(m_flags & BT_SLIDER_FLAGS_CFM_LIMLIN)
{
info->cfm[srow] = m_cfmLimLin;
}
if(lostop == histop)
{ // limited low and high simultaneously
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
else if(limit == 1)
{ // low limit
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = 0;
}
else
{ // high limit
info->m_lowerLimit[srow] = 0;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
// bounce (we'll use slider parameter abs(1.0 - m_dampingLimLin) for that)
btScalar bounce = btFabs(btScalar(1.0) - getDampingLimLin());
if(bounce > btScalar(0.0))
{
btScalar vel = linVelA.dot(ax1);
vel -= linVelB.dot(ax1);
vel *= signFact;
// only apply bounce if the velocity is incoming, and if the
// resulting c[] exceeds what we already have.
if(limit == 1)
{ // low limit
if(vel < 0)
{
btScalar newc = -bounce * vel;
if (newc > info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
else
{ // high limit - all those computations are reversed
if(vel > 0)
{
btScalar newc = -bounce * vel;
if(newc < info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
}
info->m_constraintError[srow] *= getSoftnessLimLin();
} // if(limit)
} // if linear limit
// check angular limits
limit_err = btScalar(0.0);
limit = 0;
if(getSolveAngLimit())
{
limit_err = getAngDepth();
limit = (limit_err > btScalar(0.0)) ? 1 : 2;
}
// if the slider has joint limits, add in the extra row
powered = 0;
if(getPoweredAngMotor())
{
powered = 1;
}
if(limit || powered)
{
nrow++;
srow = nrow * info->rowskip;
info->m_J1angularAxis[srow+0] = ax1[0];
info->m_J1angularAxis[srow+1] = ax1[1];
info->m_J1angularAxis[srow+2] = ax1[2];
info->m_J2angularAxis[srow+0] = -ax1[0];
info->m_J2angularAxis[srow+1] = -ax1[1];
info->m_J2angularAxis[srow+2] = -ax1[2];
btScalar lostop = getLowerAngLimit();
btScalar histop = getUpperAngLimit();
if(limit && (lostop == histop))
{ // the joint motor is ineffective
powered = 0;
}
currERP = (m_flags & BT_SLIDER_FLAGS_ERP_LIMANG) ? m_softnessLimAng : info->erp;
if(powered)
{
if(m_flags & BT_SLIDER_FLAGS_CFM_DIRANG)
{
info->cfm[srow] = m_cfmDirAng;
}
btScalar mot_fact = getMotorFactor(m_angPos, m_lowerAngLimit, m_upperAngLimit, getTargetAngMotorVelocity(), info->fps * currERP);
info->m_constraintError[srow] = mot_fact * getTargetAngMotorVelocity();
info->m_lowerLimit[srow] = -getMaxAngMotorForce() * info->fps;
info->m_upperLimit[srow] = getMaxAngMotorForce() * info->fps;
}
if(limit)
{
k = info->fps * currERP;
info->m_constraintError[srow] += k * limit_err;
if(m_flags & BT_SLIDER_FLAGS_CFM_LIMANG)
{
info->cfm[srow] = m_cfmLimAng;
}
if(lostop == histop)
{
// limited low and high simultaneously
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
else if(limit == 1)
{ // low limit
info->m_lowerLimit[srow] = 0;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
else
{ // high limit
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = 0;
}
// bounce (we'll use slider parameter abs(1.0 - m_dampingLimAng) for that)
btScalar bounce = btFabs(btScalar(1.0) - getDampingLimAng());
if(bounce > btScalar(0.0))
{
btScalar vel = m_rbA.getAngularVelocity().dot(ax1);
vel -= m_rbB.getAngularVelocity().dot(ax1);
// only apply bounce if the velocity is incoming, and if the
// resulting c[] exceeds what we already have.
if(limit == 1)
{ // low limit
if(vel < 0)
{
btScalar newc = -bounce * vel;
if(newc > info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
else
{ // high limit - all those computations are reversed
if(vel > 0)
{
btScalar newc = -bounce * vel;
if(newc < info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
}
info->m_constraintError[srow] *= getSoftnessLimAng();
} // if(limit)
} // if angular limit or powered
}
void btConeTwistConstraint::calcAngleInfo()
{
m_swingCorrection = btScalar(0.);
m_twistLimitSign = btScalar(0.);
m_solveTwistLimit = false;
m_solveSwingLimit = false;
btVector3 b1Axis1,b1Axis2,b1Axis3;
btVector3 b2Axis1,b2Axis2;
b1Axis1 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(0);
b2Axis1 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(0);
btScalar swing1=btScalar(0.),swing2 = btScalar(0.);
btScalar swx=btScalar(0.),swy = btScalar(0.);
btScalar thresh = btScalar(10.);
btScalar fact;
// Get Frame into world space
if (m_swingSpan1 >= btScalar(0.05f))
{
b1Axis2 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(1);
swx = b2Axis1.dot(b1Axis1);
swy = b2Axis1.dot(b1Axis2);
swing1 = btAtan2Fast(swy, swx);
fact = (swy*swy + swx*swx) * thresh * thresh;
fact = fact / (fact + btScalar(1.0));
swing1 *= fact;
}
if (m_swingSpan2 >= btScalar(0.05f))
{
b1Axis3 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(2);
swx = b2Axis1.dot(b1Axis1);
swy = b2Axis1.dot(b1Axis3);
swing2 = btAtan2Fast(swy, swx);
fact = (swy*swy + swx*swx) * thresh * thresh;
fact = fact / (fact + btScalar(1.0));
swing2 *= fact;
}
btScalar RMaxAngle1Sq = 1.0f / (m_swingSpan1*m_swingSpan1);
btScalar RMaxAngle2Sq = 1.0f / (m_swingSpan2*m_swingSpan2);
btScalar EllipseAngle = btFabs(swing1*swing1)* RMaxAngle1Sq + btFabs(swing2*swing2) * RMaxAngle2Sq;
if (EllipseAngle > 1.0f)
{
m_swingCorrection = EllipseAngle-1.0f;
m_solveSwingLimit = true;
// Calculate necessary axis & factors
m_swingAxis = b2Axis1.cross(b1Axis2* b2Axis1.dot(b1Axis2) + b1Axis3* b2Axis1.dot(b1Axis3));
m_swingAxis.normalize();
btScalar swingAxisSign = (b2Axis1.dot(b1Axis1) >= 0.0f) ? 1.0f : -1.0f;
m_swingAxis *= swingAxisSign;
}
// Twist limits
if (m_twistSpan >= btScalar(0.))
{
btVector3 b2Axis2 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(1);
btQuaternion rotationArc = shortestArcQuat(b2Axis1,b1Axis1);
btVector3 TwistRef = quatRotate(rotationArc,b2Axis2);
btScalar twist = btAtan2Fast( TwistRef.dot(b1Axis3), TwistRef.dot(b1Axis2) );
m_twistAngle = twist;
// btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? m_limitSoftness : btScalar(0.);
btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? btScalar(1.0f) : btScalar(0.);
if (twist <= -m_twistSpan*lockedFreeFactor)
{
m_twistCorrection = -(twist + m_twistSpan);
m_solveTwistLimit = true;
m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f;
m_twistAxis.normalize();
m_twistAxis *= -1.0f;
}
else if (twist > m_twistSpan*lockedFreeFactor)
{
m_twistCorrection = (twist - m_twistSpan);
m_solveTwistLimit = true;
m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f;
m_twistAxis.normalize();
}
}
}
btScalar btMultiBodyConstraint::fillConstraintRowMultiBodyMultiBody(btMultiBodySolverConstraint& constraintRow,
btMultiBodyJacobianData& data,
btScalar* jacOrgA,btScalar* jacOrgB,
const btContactSolverInfo& infoGlobal,
btScalar desiredVelocity,
btScalar lowerLimit,
btScalar upperLimit)
{
constraintRow.m_multiBodyA = m_bodyA;
constraintRow.m_multiBodyB = m_bodyB;
btMultiBody* multiBodyA = constraintRow.m_multiBodyA;
btMultiBody* multiBodyB = constraintRow.m_multiBodyB;
if (multiBodyA)
{
const int ndofA = multiBodyA->getNumLinks() + 6;
constraintRow.m_deltaVelAindex = multiBodyA->getCompanionId();
if (constraintRow.m_deltaVelAindex <0)
{
constraintRow.m_deltaVelAindex = data.m_deltaVelocities.size();
multiBodyA->setCompanionId(constraintRow.m_deltaVelAindex);
data.m_deltaVelocities.resize(data.m_deltaVelocities.size()+ndofA);
} else
{
btAssert(data.m_deltaVelocities.size() >= constraintRow.m_deltaVelAindex+ndofA);
}
constraintRow.m_jacAindex = data.m_jacobians.size();
data.m_jacobians.resize(data.m_jacobians.size()+ndofA);
data.m_deltaVelocitiesUnitImpulse.resize(data.m_deltaVelocitiesUnitImpulse.size()+ndofA);
btAssert(data.m_jacobians.size() == data.m_deltaVelocitiesUnitImpulse.size());
for (int i=0;i<ndofA;i++)
data.m_jacobians[constraintRow.m_jacAindex+i] = jacOrgA[i];
btScalar* delta = &data.m_deltaVelocitiesUnitImpulse[constraintRow.m_jacAindex];
multiBodyA->calcAccelerationDeltas(&data.m_jacobians[constraintRow.m_jacAindex],delta,data.scratch_r, data.scratch_v);
}
if (multiBodyB)
{
const int ndofB = multiBodyB->getNumLinks() + 6;
constraintRow.m_deltaVelBindex = multiBodyB->getCompanionId();
if (constraintRow.m_deltaVelBindex <0)
{
constraintRow.m_deltaVelBindex = data.m_deltaVelocities.size();
multiBodyB->setCompanionId(constraintRow.m_deltaVelBindex);
data.m_deltaVelocities.resize(data.m_deltaVelocities.size()+ndofB);
}
constraintRow.m_jacBindex = data.m_jacobians.size();
data.m_jacobians.resize(data.m_jacobians.size()+ndofB);
for (int i=0;i<ndofB;i++)
data.m_jacobians[constraintRow.m_jacBindex+i] = jacOrgB[i];
data.m_deltaVelocitiesUnitImpulse.resize(data.m_deltaVelocitiesUnitImpulse.size()+ndofB);
btAssert(data.m_jacobians.size() == data.m_deltaVelocitiesUnitImpulse.size());
multiBodyB->calcAccelerationDeltas(&data.m_jacobians[constraintRow.m_jacBindex],&data.m_deltaVelocitiesUnitImpulse[constraintRow.m_jacBindex],data.scratch_r, data.scratch_v);
}
{
btVector3 vec;
btScalar denom0 = 0.f;
btScalar denom1 = 0.f;
btScalar* jacB = 0;
btScalar* jacA = 0;
btScalar* lambdaA =0;
btScalar* lambdaB =0;
int ndofA = 0;
if (multiBodyA)
{
ndofA = multiBodyA->getNumLinks() + 6;
jacA = &data.m_jacobians[constraintRow.m_jacAindex];
lambdaA = &data.m_deltaVelocitiesUnitImpulse[constraintRow.m_jacAindex];
for (int i = 0; i < ndofA; ++i)
{
btScalar j = jacA[i] ;
btScalar l =lambdaA[i];
denom0 += j*l;
}
}
if (multiBodyB)
{
const int ndofB = multiBodyB->getNumLinks() + 6;
jacB = &data.m_jacobians[constraintRow.m_jacBindex];
lambdaB = &data.m_deltaVelocitiesUnitImpulse[constraintRow.m_jacBindex];
for (int i = 0; i < ndofB; ++i)
{
btScalar j = jacB[i] ;
btScalar l =lambdaB[i];
denom1 += j*l;
}
}
if (multiBodyA && (multiBodyA==multiBodyB))
{
// ndof1 == ndof2 in this case
for (int i = 0; i < ndofA; ++i)
{
denom1 += jacB[i] * lambdaA[i];
denom1 += jacA[i] * lambdaB[i];
}
}
btScalar d = denom0+denom1;
if (btFabs(d)>SIMD_EPSILON)
{
constraintRow.m_jacDiagABInv = 1.f/(d);
} else
{
constraintRow.m_jacDiagABInv = 1.f;
}
}
//compute rhs and remaining constraintRow fields
btScalar rel_vel = 0.f;
int ndofA = 0;
int ndofB = 0;
{
btVector3 vel1,vel2;
if (multiBodyA)
{
ndofA = multiBodyA->getNumLinks() + 6;
btScalar* jacA = &data.m_jacobians[constraintRow.m_jacAindex];
for (int i = 0; i < ndofA ; ++i)
rel_vel += multiBodyA->getVelocityVector()[i] * jacA[i];
}
if (multiBodyB)
{
ndofB = multiBodyB->getNumLinks() + 6;
btScalar* jacB = &data.m_jacobians[constraintRow.m_jacBindex];
for (int i = 0; i < ndofB ; ++i)
rel_vel += multiBodyB->getVelocityVector()[i] * jacB[i];
}
constraintRow.m_friction = 0.f;
constraintRow.m_appliedImpulse = 0.f;
constraintRow.m_appliedPushImpulse = 0.f;
btScalar velocityError = desiredVelocity - rel_vel;// * damping;
btScalar erp = infoGlobal.m_erp2;
btScalar velocityImpulse = velocityError *constraintRow.m_jacDiagABInv;
if (!infoGlobal.m_splitImpulse)
{
//combine position and velocity into rhs
constraintRow.m_rhs = velocityImpulse;
constraintRow.m_rhsPenetration = 0.f;
} else
{
//split position and velocity into rhs and m_rhsPenetration
constraintRow.m_rhs = velocityImpulse;
constraintRow.m_rhsPenetration = 0.f;
}
constraintRow.m_cfm = 0.f;
constraintRow.m_lowerLimit = lowerLimit;
constraintRow.m_upperLimit = upperLimit;
}
return rel_vel;
}
void btSliderConstraint::solveConstraintInt(btRigidBody& rbA, btSolverBody& bodyA,btRigidBody& rbB, btSolverBody& bodyB)
{
int i;
// linear
btVector3 velA;
bodyA.getVelocityInLocalPointObsolete(m_relPosA,velA);
btVector3 velB;
bodyB.getVelocityInLocalPointObsolete(m_relPosB,velB);
btVector3 vel = velA - velB;
for(i = 0; i < 3; i++)
{
const btVector3& normal = m_jacLin[i].m_linearJointAxis;
btScalar rel_vel = normal.dot(vel);
// calculate positional error
btScalar depth = m_depth[i];
// get parameters
btScalar softness = (i) ? m_softnessOrthoLin : (m_solveLinLim ? m_softnessLimLin : m_softnessDirLin);
btScalar restitution = (i) ? m_restitutionOrthoLin : (m_solveLinLim ? m_restitutionLimLin : m_restitutionDirLin);
btScalar damping = (i) ? m_dampingOrthoLin : (m_solveLinLim ? m_dampingLimLin : m_dampingDirLin);
// calcutate and apply impulse
btScalar normalImpulse = softness * (restitution * depth / m_timeStep - damping * rel_vel) * m_jacLinDiagABInv[i];
btVector3 impulse_vector = normal * normalImpulse;
//rbA.applyImpulse( impulse_vector, m_relPosA);
//rbB.applyImpulse(-impulse_vector, m_relPosB);
{
btVector3 ftorqueAxis1 = m_relPosA.cross(normal);
btVector3 ftorqueAxis2 = m_relPosB.cross(normal);
bodyA.applyImpulse(normal*rbA.getInvMass(), rbA.getInvInertiaTensorWorld()*ftorqueAxis1,normalImpulse);
bodyB.applyImpulse(normal*rbB.getInvMass(), rbB.getInvInertiaTensorWorld()*ftorqueAxis2,-normalImpulse);
}
if(m_poweredLinMotor && (!i))
{ // apply linear motor
if(m_accumulatedLinMotorImpulse < m_maxLinMotorForce)
{
btScalar desiredMotorVel = m_targetLinMotorVelocity;
btScalar motor_relvel = desiredMotorVel + rel_vel;
normalImpulse = -motor_relvel * m_jacLinDiagABInv[i];
// clamp accumulated impulse
btScalar new_acc = m_accumulatedLinMotorImpulse + btFabs(normalImpulse);
if(new_acc > m_maxLinMotorForce)
{
new_acc = m_maxLinMotorForce;
}
btScalar del = new_acc - m_accumulatedLinMotorImpulse;
if(normalImpulse < btScalar(0.0))
{
normalImpulse = -del;
}
else
{
normalImpulse = del;
}
m_accumulatedLinMotorImpulse = new_acc;
// apply clamped impulse
impulse_vector = normal * normalImpulse;
//rbA.applyImpulse( impulse_vector, m_relPosA);
//rbB.applyImpulse(-impulse_vector, m_relPosB);
{
btVector3 ftorqueAxis1 = m_relPosA.cross(normal);
btVector3 ftorqueAxis2 = m_relPosB.cross(normal);
bodyA.applyImpulse(normal*rbA.getInvMass(), rbA.getInvInertiaTensorWorld()*ftorqueAxis1,normalImpulse);
bodyB.applyImpulse(normal*rbB.getInvMass(), rbB.getInvInertiaTensorWorld()*ftorqueAxis2,-normalImpulse);
}
}
}
}
// angular
// get axes in world space
btVector3 axisA = m_calculatedTransformA.getBasis().getColumn(0);
btVector3 axisB = m_calculatedTransformB.getBasis().getColumn(0);
btVector3 angVelA;
bodyA.getAngularVelocity(angVelA);
btVector3 angVelB;
bodyB.getAngularVelocity(angVelB);
btVector3 angVelAroundAxisA = axisA * axisA.dot(angVelA);
btVector3 angVelAroundAxisB = axisB * axisB.dot(angVelB);
btVector3 angAorthog = angVelA - angVelAroundAxisA;
btVector3 angBorthog = angVelB - angVelAroundAxisB;
btVector3 velrelOrthog = angAorthog-angBorthog;
//solve orthogonal angular velocity correction
btScalar len = velrelOrthog.length();
btScalar orthorImpulseMag = 0.f;
if (len > btScalar(0.00001))
{
btVector3 normal = velrelOrthog.normalized();
btScalar denom = rbA.computeAngularImpulseDenominator(normal) + rbB.computeAngularImpulseDenominator(normal);
//velrelOrthog *= (btScalar(1.)/denom) * m_dampingOrthoAng * m_softnessOrthoAng;
orthorImpulseMag = (btScalar(1.)/denom) * m_dampingOrthoAng * m_softnessOrthoAng;
}
//solve angular positional correction
btVector3 angularError = axisA.cross(axisB) *(btScalar(1.)/m_timeStep);
btVector3 angularAxis = angularError;
btScalar angularImpulseMag = 0;
btScalar len2 = angularError.length();
if (len2>btScalar(0.00001))
{
btVector3 normal2 = angularError.normalized();
btScalar denom2 = rbA.computeAngularImpulseDenominator(normal2) + rbB.computeAngularImpulseDenominator(normal2);
angularImpulseMag = (btScalar(1.)/denom2) * m_restitutionOrthoAng * m_softnessOrthoAng;
angularError *= angularImpulseMag;
}
// apply impulse
//rbA.applyTorqueImpulse(-velrelOrthog+angularError);
//rbB.applyTorqueImpulse(velrelOrthog-angularError);
bodyA.applyImpulse(btVector3(0,0,0), rbA.getInvInertiaTensorWorld()*velrelOrthog,-orthorImpulseMag);
bodyB.applyImpulse(btVector3(0,0,0), rbB.getInvInertiaTensorWorld()*velrelOrthog,orthorImpulseMag);
bodyA.applyImpulse(btVector3(0,0,0), rbA.getInvInertiaTensorWorld()*angularAxis,angularImpulseMag);
bodyB.applyImpulse(btVector3(0,0,0), rbB.getInvInertiaTensorWorld()*angularAxis,-angularImpulseMag);
btScalar impulseMag;
//solve angular limits
if(m_solveAngLim)
{
impulseMag = (angVelB - angVelA).dot(axisA) * m_dampingLimAng + m_angDepth * m_restitutionLimAng / m_timeStep;
impulseMag *= m_kAngle * m_softnessLimAng;
}
else
{
impulseMag = (angVelB - angVelA).dot(axisA) * m_dampingDirAng + m_angDepth * m_restitutionDirAng / m_timeStep;
impulseMag *= m_kAngle * m_softnessDirAng;
}
btVector3 impulse = axisA * impulseMag;
//rbA.applyTorqueImpulse(impulse);
//rbB.applyTorqueImpulse(-impulse);
bodyA.applyImpulse(btVector3(0,0,0), rbA.getInvInertiaTensorWorld()*axisA,impulseMag);
bodyB.applyImpulse(btVector3(0,0,0), rbB.getInvInertiaTensorWorld()*axisA,-impulseMag);
//apply angular motor
if(m_poweredAngMotor)
{
if(m_accumulatedAngMotorImpulse < m_maxAngMotorForce)
{
btVector3 velrel = angVelAroundAxisA - angVelAroundAxisB;
btScalar projRelVel = velrel.dot(axisA);
btScalar desiredMotorVel = m_targetAngMotorVelocity;
btScalar motor_relvel = desiredMotorVel - projRelVel;
btScalar angImpulse = m_kAngle * motor_relvel;
// clamp accumulated impulse
btScalar new_acc = m_accumulatedAngMotorImpulse + btFabs(angImpulse);
if(new_acc > m_maxAngMotorForce)
{
new_acc = m_maxAngMotorForce;
}
btScalar del = new_acc - m_accumulatedAngMotorImpulse;
if(angImpulse < btScalar(0.0))
{
angImpulse = -del;
}
else
{
angImpulse = del;
}
m_accumulatedAngMotorImpulse = new_acc;
// apply clamped impulse
btVector3 motorImp = angImpulse * axisA;
//rbA.applyTorqueImpulse(motorImp);
//rbB.applyTorqueImpulse(-motorImp);
bodyA.applyImpulse(btVector3(0,0,0), rbA.getInvInertiaTensorWorld()*axisA,angImpulse);
bodyB.applyImpulse(btVector3(0,0,0), rbB.getInvInertiaTensorWorld()*axisA,-angImpulse);
}
}
}
void gim_contact_array::merge_contacts(
const gim_contact_array & contacts, bool normal_contact_average)
{
clear();
if(contacts.size()==1)
{
push_back(contacts.back());
return;
}
gim_array<GIM_RSORT_TOKEN> keycontacts(contacts.size());
keycontacts.resize(contacts.size(),false);
//fill key contacts
GUINT i;
for (i = 0;i<contacts.size() ;i++ )
{
keycontacts[i].m_key = contacts[i].calc_key_contact();
keycontacts[i].m_value = i;
}
//sort keys
gim_heap_sort(keycontacts.pointer(),keycontacts.size(),GIM_RSORT_TOKEN_COMPARATOR());
// Merge contacts
GUINT coincident_count=0;
btVector3 coincident_normals[MAX_COINCIDENT];
GUINT last_key = keycontacts[0].m_key;
GUINT key = 0;
push_back(contacts[keycontacts[0].m_value]);
GIM_CONTACT * pcontact = &back();
for( i=1;i<keycontacts.size();i++)
{
key = keycontacts[i].m_key;
const GIM_CONTACT * scontact = &contacts[keycontacts[i].m_value];
if(last_key == key)//same points
{
//merge contact
if(pcontact->m_depth - CONTACT_DIFF_EPSILON > scontact->m_depth)//)
{
*pcontact = *scontact;
coincident_count = 0;
}
else if(normal_contact_average)
{
if(btFabs(pcontact->m_depth - scontact->m_depth)<CONTACT_DIFF_EPSILON)
{
if(coincident_count<MAX_COINCIDENT)
{
coincident_normals[coincident_count] = scontact->m_normal;
coincident_count++;
}
}
}
}
else
{//add new contact
if(normal_contact_average && coincident_count>0)
{
pcontact->interpolate_normals(coincident_normals,coincident_count);
coincident_count = 0;
}
push_back(*scontact);
pcontact = &back();
}
last_key = key;
}
}
void btSliderConstraint::getInfo2(btConstraintInfo2* info)
{
btAssert(!m_useSolveConstraintObsolete);
int i, s = info->rowskip;
const btTransform& trA = getCalculatedTransformA();
const btTransform& trB = getCalculatedTransformB();
btScalar signFact = m_useLinearReferenceFrameA ? btScalar(1.0f) : btScalar(-1.0f);
// make rotations around Y and Z equal
// the slider axis should be the only unconstrained
// rotational axis, the angular velocity of the two bodies perpendicular to
// the slider axis should be equal. thus the constraint equations are
// p*w1 - p*w2 = 0
// q*w1 - q*w2 = 0
// where p and q are unit vectors normal to the slider axis, and w1 and w2
// are the angular velocity vectors of the two bodies.
// get slider axis (X)
btVector3 ax1 = trA.getBasis().getColumn(0);
// get 2 orthos to slider axis (Y, Z)
btVector3 p = trA.getBasis().getColumn(1);
btVector3 q = trA.getBasis().getColumn(2);
// set the two slider rows
info->m_J1angularAxis[0] = p[0];
info->m_J1angularAxis[1] = p[1];
info->m_J1angularAxis[2] = p[2];
info->m_J1angularAxis[s+0] = q[0];
info->m_J1angularAxis[s+1] = q[1];
info->m_J1angularAxis[s+2] = q[2];
info->m_J2angularAxis[0] = -p[0];
info->m_J2angularAxis[1] = -p[1];
info->m_J2angularAxis[2] = -p[2];
info->m_J2angularAxis[s+0] = -q[0];
info->m_J2angularAxis[s+1] = -q[1];
info->m_J2angularAxis[s+2] = -q[2];
// compute the right hand side of the constraint equation. set relative
// body velocities along p and q to bring the slider back into alignment.
// if ax1,ax2 are the unit length slider axes as computed from body1 and
// body2, we need to rotate both bodies along the axis u = (ax1 x ax2).
// if "theta" is the angle between ax1 and ax2, we need an angular velocity
// along u to cover angle erp*theta in one step :
// |angular_velocity| = angle/time = erp*theta / stepsize
// = (erp*fps) * theta
// angular_velocity = |angular_velocity| * (ax1 x ax2) / |ax1 x ax2|
// = (erp*fps) * theta * (ax1 x ax2) / sin(theta)
// ...as ax1 and ax2 are unit length. if theta is smallish,
// theta ~= sin(theta), so
// angular_velocity = (erp*fps) * (ax1 x ax2)
// ax1 x ax2 is in the plane space of ax1, so we project the angular
// velocity to p and q to find the right hand side.
btScalar k = info->fps * info->erp * getSoftnessOrthoAng();
btVector3 ax2 = trB.getBasis().getColumn(0);
btVector3 u = ax1.cross(ax2);
info->m_constraintError[0] = k * u.dot(p);
info->m_constraintError[s] = k * u.dot(q);
// pull out pos and R for both bodies. also get the connection
// vector c = pos2-pos1.
// next two rows. we want: vel2 = vel1 + w1 x c ... but this would
// result in three equations, so we project along the planespace vectors
// so that sliding along the slider axis is disregarded. for symmetry we
// also consider rotation around center of mass of two bodies (factA and factB).
btTransform bodyA_trans = m_rbA.getCenterOfMassTransform();
btTransform bodyB_trans = m_rbB.getCenterOfMassTransform();
int s2 = 2 * s, s3 = 3 * s;
btVector3 c;
btScalar miA = m_rbA.getInvMass();
btScalar miB = m_rbB.getInvMass();
btScalar miS = miA + miB;
btScalar factA, factB;
if(miS > btScalar(0.f))
{
factA = miB / miS;
}
else
{
factA = btScalar(0.5f);
}
if(factA > 0.99f) factA = 0.99f;
if(factA < 0.01f) factA = 0.01f;
factB = btScalar(1.0f) - factA;
c = bodyB_trans.getOrigin() - bodyA_trans.getOrigin();
btVector3 tmp = c.cross(p);
for (i=0; i<3; i++) info->m_J1angularAxis[s2+i] = factA*tmp[i];
for (i=0; i<3; i++) info->m_J2angularAxis[s2+i] = factB*tmp[i];
tmp = c.cross(q);
for (i=0; i<3; i++) info->m_J1angularAxis[s3+i] = factA*tmp[i];
for (i=0; i<3; i++) info->m_J2angularAxis[s3+i] = factB*tmp[i];
for (i=0; i<3; i++) info->m_J1linearAxis[s2+i] = p[i];
for (i=0; i<3; i++) info->m_J1linearAxis[s3+i] = q[i];
// compute two elements of right hand side. we want to align the offset
// point (in body 2's frame) with the center of body 1.
btVector3 ofs; // offset point in global coordinates
ofs = trB.getOrigin() - trA.getOrigin();
k = info->fps * info->erp * getSoftnessOrthoLin();
info->m_constraintError[s2] = k * p.dot(ofs);
info->m_constraintError[s3] = k * q.dot(ofs);
int nrow = 3; // last filled row
int srow;
// check linear limits linear
btScalar limit_err = btScalar(0.0);
int limit = 0;
if(getSolveLinLimit())
{
limit_err = getLinDepth() * signFact;
limit = (limit_err > btScalar(0.0)) ? 2 : 1;
}
int powered = 0;
if(getPoweredLinMotor())
{
powered = 1;
}
// if the slider has joint limits or motor, add in the extra row
if (limit || powered)
{
nrow++;
srow = nrow * info->rowskip;
info->m_J1linearAxis[srow+0] = ax1[0];
info->m_J1linearAxis[srow+1] = ax1[1];
info->m_J1linearAxis[srow+2] = ax1[2];
// linear torque decoupling step:
//
// we have to be careful that the linear constraint forces (+/- ax1) applied to the two bodies
// do not create a torque couple. in other words, the points that the
// constraint force is applied at must lie along the same ax1 axis.
// a torque couple will result in limited slider-jointed free
// bodies from gaining angular momentum.
// the solution used here is to apply the constraint forces at the center of mass of the two bodies
btVector3 ltd; // Linear Torque Decoupling vector (a torque)
// c = btScalar(0.5) * c;
ltd = c.cross(ax1);
info->m_J1angularAxis[srow+0] = factA*ltd[0];
info->m_J1angularAxis[srow+1] = factA*ltd[1];
info->m_J1angularAxis[srow+2] = factA*ltd[2];
info->m_J2angularAxis[srow+0] = factB*ltd[0];
info->m_J2angularAxis[srow+1] = factB*ltd[1];
info->m_J2angularAxis[srow+2] = factB*ltd[2];
// right-hand part
btScalar lostop = getLowerLinLimit();
btScalar histop = getUpperLinLimit();
if(limit && (lostop == histop))
{ // the joint motor is ineffective
powered = 0;
}
info->m_constraintError[srow] = 0.;
info->m_lowerLimit[srow] = 0.;
info->m_upperLimit[srow] = 0.;
if(powered)
{
info->cfm[nrow] = btScalar(0.0);
btScalar tag_vel = getTargetLinMotorVelocity();
btScalar mot_fact = getMotorFactor(m_linPos, m_lowerLinLimit, m_upperLinLimit, tag_vel, info->fps * info->erp);
// info->m_constraintError[srow] += mot_fact * getTargetLinMotorVelocity();
info->m_constraintError[srow] -= signFact * mot_fact * getTargetLinMotorVelocity();
info->m_lowerLimit[srow] += -getMaxLinMotorForce() * info->fps;
info->m_upperLimit[srow] += getMaxLinMotorForce() * info->fps;
}
if(limit)
{
k = info->fps * info->erp;
info->m_constraintError[srow] += k * limit_err;
info->cfm[srow] = btScalar(0.0); // stop_cfm;
if(lostop == histop)
{ // limited low and high simultaneously
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
else if(limit == 1)
{ // low limit
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = 0;
}
else
{ // high limit
info->m_lowerLimit[srow] = 0;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
// bounce (we'll use slider parameter abs(1.0 - m_dampingLimLin) for that)
btScalar bounce = btFabs(btScalar(1.0) - getDampingLimLin());
if(bounce > btScalar(0.0))
{
btScalar vel = m_rbA.getLinearVelocity().dot(ax1);
vel -= m_rbB.getLinearVelocity().dot(ax1);
vel *= signFact;
// only apply bounce if the velocity is incoming, and if the
// resulting c[] exceeds what we already have.
if(limit == 1)
{ // low limit
if(vel < 0)
{
btScalar newc = -bounce * vel;
if (newc > info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
else
{ // high limit - all those computations are reversed
if(vel > 0)
{
btScalar newc = -bounce * vel;
if(newc < info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
}
info->m_constraintError[srow] *= getSoftnessLimLin();
} // if(limit)
} // if linear limit
// check angular limits
limit_err = btScalar(0.0);
limit = 0;
if(getSolveAngLimit())
{
limit_err = getAngDepth();
limit = (limit_err > btScalar(0.0)) ? 1 : 2;
}
// if the slider has joint limits, add in the extra row
powered = 0;
if(getPoweredAngMotor())
{
powered = 1;
}
if(limit || powered)
{
nrow++;
srow = nrow * info->rowskip;
info->m_J1angularAxis[srow+0] = ax1[0];
info->m_J1angularAxis[srow+1] = ax1[1];
info->m_J1angularAxis[srow+2] = ax1[2];
info->m_J2angularAxis[srow+0] = -ax1[0];
info->m_J2angularAxis[srow+1] = -ax1[1];
info->m_J2angularAxis[srow+2] = -ax1[2];
btScalar lostop = getLowerAngLimit();
btScalar histop = getUpperAngLimit();
if(limit && (lostop == histop))
{ // the joint motor is ineffective
powered = 0;
}
if(powered)
{
info->cfm[srow] = btScalar(0.0);
btScalar mot_fact = getMotorFactor(m_angPos, m_lowerAngLimit, m_upperAngLimit, getTargetAngMotorVelocity(), info->fps * info->erp);
info->m_constraintError[srow] = mot_fact * getTargetAngMotorVelocity();
info->m_lowerLimit[srow] = -getMaxAngMotorForce() * info->fps;
info->m_upperLimit[srow] = getMaxAngMotorForce() * info->fps;
}
if(limit)
{
k = info->fps * info->erp;
info->m_constraintError[srow] += k * limit_err;
info->cfm[srow] = btScalar(0.0); // stop_cfm;
if(lostop == histop)
{
// limited low and high simultaneously
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
else if(limit == 1)
{ // low limit
info->m_lowerLimit[srow] = 0;
info->m_upperLimit[srow] = SIMD_INFINITY;
}
else
{ // high limit
info->m_lowerLimit[srow] = -SIMD_INFINITY;
info->m_upperLimit[srow] = 0;
}
// bounce (we'll use slider parameter abs(1.0 - m_dampingLimAng) for that)
btScalar bounce = btFabs(btScalar(1.0) - getDampingLimAng());
if(bounce > btScalar(0.0))
{
btScalar vel = m_rbA.getAngularVelocity().dot(ax1);
vel -= m_rbB.getAngularVelocity().dot(ax1);
// only apply bounce if the velocity is incoming, and if the
// resulting c[] exceeds what we already have.
if(limit == 1)
{ // low limit
if(vel < 0)
{
btScalar newc = -bounce * vel;
if(newc > info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
else
{ // high limit - all those computations are reversed
if(vel > 0)
{
btScalar newc = -bounce * vel;
if(newc < info->m_constraintError[srow])
{
info->m_constraintError[srow] = newc;
}
}
}
}
info->m_constraintError[srow] *= getSoftnessLimAng();
} // if(limit)
} // if angular limit or powered
}
void Vehicle::updateDynamics(btScalar dt)
{
// differentials (constant, should happen at initialisation maybe?)
for (int i = 0; i < differential.size(); ++i)
{
DifferentialJoint & djoint = diff_joint[i];
djoint.shaft1 = &differential[i].getShaft();
djoint.shaft2a = &differential[i].getShaft1();
djoint.shaft2b = &differential[i].getShaft2();
djoint.gearRatio = differential[i].getFinalDrive();
djoint.init();
ClutchJoint & cjoint = clutch_joint[i];
cjoint.shaft1 = &differential[i].getShaft1();
cjoint.shaft2 = &differential[i].getShaft2();
cjoint.gearRatio = 1;
// 1 way lsd, make it configurable?
if (djoint.getVelocityDelta() > 0)
cjoint.impulseLimit = differential[i].getAntiSlipTorque() * dt;
else
cjoint.impulseLimit = 0;
cjoint.init();
}
// transmission and clutch
int dcount = differential.size();
int ccount = differential.size();
//if (btFabs(transmission.getGearRatio()) > 0.0)
{
ClutchJoint & cjoint = clutch_joint[ccount];
cjoint.shaft1 = &engine.getShaft();
cjoint.shaft2 = &transmission.getShaft();
cjoint.gearRatio = transmission.getGearRatio();
cjoint.impulseLimit = transmission.getGearRatio() != 0 ? clutch.getTorque() * dt : 0;
cjoint.init();
ccount++;
}
// wheel displacement
for (int i = 0; i < wheel.size(); ++i)
{
wheel[i].updateDisplacement(2 * wheel[i].getRadius());
}
// anti-roll bar approximation by adjusting suspension stiffness
for (int i = 0; i < antiroll.size(); ++i)
{
// move this into antirollbar class ?
// calculate anti-roll contributed stiffness
btScalar kr = antiroll[i].stiffness;
int i0 = antiroll[i].wheel0;
int i1 = antiroll[i].wheel1;
btScalar d0 = wheel[i0].suspension.getDisplacement();
btScalar d1 = wheel[i1].suspension.getDisplacement();
btScalar dr = d0 - d1;
btScalar k0 = (d0 > 0) ? kr * dr / d0 : 0.0f;
btScalar k1 = (d1 > 0) ? -kr * dr / d1 : 0.0f;
// avoid negative stiffness
if (wheel[i0].suspension.getStiffness() + k0 < 0) k0 = 0.0f;
if (wheel[i1].suspension.getStiffness() + k1 < 0) k1 = 0.0f;
wheel[i0].setAntiRollStiffness(k0);
wheel[i1].setAntiRollStiffness(k1);
}
// wheel contacts
int mcount = 0;
int wcount = 0;
abs_active = false;
tcs_active = false;
for (int i = 0; i < wheel.size(); ++i)
{
if (wheel[i].updateContact(dt, wheel_contact[wcount]))
{
wheel_contact[wcount].id = i;
MotorJoint & joint = motor_joint[mcount];
joint.shaft = &wheel[i].shaft;
joint.impulseLimit = 0;
joint.targetVelocity = wheel_contact[wcount].v1 / wheel[i].getRadius();
joint.accumulatedImpulse = 0;
abs_active |= wheel[i].getABS();
tcs_active |= wheel[i].getTCS();
mcount++;
wcount++;
}
}
// engine
MotorJoint & joint = motor_joint[mcount];
joint.shaft = &engine.getShaft();
joint.targetVelocity = engine.getTorque() > 0 ? engine.getRPMLimit() * M_PI / 30 : 0;
joint.impulseLimit = btFabs(engine.getTorque()) * dt;
joint.accumulatedImpulse = 0;
mcount++;
// brakes
for (int i = 0; i < wheel.size(); ++i)
{
btScalar torque = wheel[i].brake.getTorque();
if (torque > 0)
{
MotorJoint & joint = motor_joint[mcount];
joint.shaft = &wheel[i].shaft;
joint.targetVelocity = 0;
joint.impulseLimit = torque * dt;
joint.accumulatedImpulse = 0;
mcount++;
}
}
// steering feedback
steering_torque = 0;
// solver loop
const int iterations = 8;
for (int n = 0; n < iterations; ++n)
{
// wheel
for (int i = 0; i < wcount; ++i)
{
WheelContact & c = wheel_contact[i];
Wheel & w = wheel[c.id];
SolveConstraintRow(c.response, *c.bodyA, *c.bodyB, c.rA, c.rB);
btScalar load = c.response.accumImpulse / dt;
btVector3 friction = w.tire.getForce(load, c.frictionCoeff, c.camber, c.vR, c.v1, c.v2);
// lateral friction constraint
if (friction[1] * dt > c.friction2.upperLimit)
{
c.friction2.upperLimit = friction[1] * dt;
}
else if (friction[1] * dt < c.friction2.lowerLimit)
{
c.friction2.lowerLimit = friction[1] * dt;
}
//clog << friction[0] << " " << w.tire.getSlide() << "; ";
// tire friction torque
btScalar impulseLimit = btFabs(friction[0]) * w.getRadius() * dt;
if (impulseLimit > motor_joint[i].impulseLimit)
{
motor_joint[i].impulseLimit = impulseLimit;
}
motor_joint[i].targetVelocity = c.v1 / w.getRadius();
}
// driveline
for (int i = 0; i < mcount; ++i)
{
motor_joint[i].solve();
}
for (int i = 0; i < dcount; ++i)
{
diff_joint[i].solve();
}
for (int i = 0; i < ccount; ++i)
{
clutch_joint[i].solve();
}
//clog << " ";
// wheel friction
for (int i = 0; i < wcount; ++i)
{
WheelContact & c = wheel_contact[i];
Wheel & w = wheel[c.id];
// longitudinal friction costraint from tire friction torque
btScalar impulseLimit = -motor_joint[i].accumulatedImpulse / w.getRadius();
if (impulseLimit > c.friction1.upperLimit)
{
c.friction1.upperLimit = impulseLimit;
}
else if (impulseLimit < c.friction1.lowerLimit)
{
c.friction1.lowerLimit = impulseLimit;
}
//clog << -impulseLimit / w.getRadius() << " ";
btScalar vel = w.shaft.getAngularVelocity() * w.getRadius();
SolveConstraintRow(c.friction1, *c.bodyA, *c.bodyB, c.rA, c.rB, -vel);
SolveConstraintRow(c.friction2, *c.bodyA, *c.bodyB, c.rA, c.rB);
// steering feedback
if (w.suspension.getMaxSteeringAngle() > 1E-3)
{
steering_torque += w.tire.getMz();
}
}
//clog << "\n";
}
//clog << "\n";
steering_torque /= iterations;
}
void btMultiBodyConstraint::fillMultiBodyConstraintMixed(btMultiBodySolverConstraint& solverConstraint,
btMultiBodyJacobianData& data,
const btVector3& contactNormalOnB,
const btVector3& posAworld, const btVector3& posBworld,
btScalar position,
const btContactSolverInfo& infoGlobal,
btScalar& relaxation,
bool isFriction, btScalar desiredVelocity, btScalar cfmSlip)
{
btVector3 rel_pos1 = posAworld;
btVector3 rel_pos2 = posBworld;
solverConstraint.m_multiBodyA = m_bodyA;
solverConstraint.m_multiBodyB = m_bodyB;
solverConstraint.m_linkA = m_linkA;
solverConstraint.m_linkB = m_linkB;
btMultiBody* multiBodyA = solverConstraint.m_multiBodyA;
btMultiBody* multiBodyB = solverConstraint.m_multiBodyB;
const btVector3& pos1 = posAworld;
const btVector3& pos2 = posBworld;
btSolverBody* bodyA = multiBodyA ? 0 : &data.m_solverBodyPool->at(solverConstraint.m_solverBodyIdA);
btSolverBody* bodyB = multiBodyB ? 0 : &data.m_solverBodyPool->at(solverConstraint.m_solverBodyIdB);
btRigidBody* rb0 = multiBodyA ? 0 : bodyA->m_originalBody;
btRigidBody* rb1 = multiBodyB ? 0 : bodyB->m_originalBody;
if (bodyA)
rel_pos1 = pos1 - bodyA->getWorldTransform().getOrigin();
if (bodyB)
rel_pos2 = pos2 - bodyB->getWorldTransform().getOrigin();
relaxation = 1.f;
if (multiBodyA)
{
const int ndofA = multiBodyA->getNumLinks() + 6;
solverConstraint.m_deltaVelAindex = multiBodyA->getCompanionId();
if (solverConstraint.m_deltaVelAindex <0)
{
solverConstraint.m_deltaVelAindex = data.m_deltaVelocities.size();
multiBodyA->setCompanionId(solverConstraint.m_deltaVelAindex);
data.m_deltaVelocities.resize(data.m_deltaVelocities.size()+ndofA);
} else
{
btAssert(data.m_deltaVelocities.size() >= solverConstraint.m_deltaVelAindex+ndofA);
}
solverConstraint.m_jacAindex = data.m_jacobians.size();
data.m_jacobians.resize(data.m_jacobians.size()+ndofA);
data.m_deltaVelocitiesUnitImpulse.resize(data.m_deltaVelocitiesUnitImpulse.size()+ndofA);
btAssert(data.m_jacobians.size() == data.m_deltaVelocitiesUnitImpulse.size());
btScalar* jac1=&data.m_jacobians[solverConstraint.m_jacAindex];
multiBodyA->fillContactJacobian(solverConstraint.m_linkA, posAworld, contactNormalOnB, jac1, data.scratch_r, data.scratch_v, data.scratch_m);
btScalar* delta = &data.m_deltaVelocitiesUnitImpulse[solverConstraint.m_jacAindex];
multiBodyA->calcAccelerationDeltas(&data.m_jacobians[solverConstraint.m_jacAindex],delta,data.scratch_r, data.scratch_v);
} else
{
btVector3 torqueAxis0 = rel_pos1.cross(contactNormalOnB);
solverConstraint.m_angularComponentA = rb0 ? rb0->getInvInertiaTensorWorld()*torqueAxis0*rb0->getAngularFactor() : btVector3(0,0,0);
solverConstraint.m_relpos1CrossNormal = torqueAxis0;
solverConstraint.m_contactNormal1 = contactNormalOnB;
}
if (multiBodyB)
{
const int ndofB = multiBodyB->getNumLinks() + 6;
solverConstraint.m_deltaVelBindex = multiBodyB->getCompanionId();
if (solverConstraint.m_deltaVelBindex <0)
{
solverConstraint.m_deltaVelBindex = data.m_deltaVelocities.size();
multiBodyB->setCompanionId(solverConstraint.m_deltaVelBindex);
data.m_deltaVelocities.resize(data.m_deltaVelocities.size()+ndofB);
}
solverConstraint.m_jacBindex = data.m_jacobians.size();
data.m_jacobians.resize(data.m_jacobians.size()+ndofB);
data.m_deltaVelocitiesUnitImpulse.resize(data.m_deltaVelocitiesUnitImpulse.size()+ndofB);
btAssert(data.m_jacobians.size() == data.m_deltaVelocitiesUnitImpulse.size());
multiBodyB->fillContactJacobian(solverConstraint.m_linkB, posBworld, -contactNormalOnB, &data.m_jacobians[solverConstraint.m_jacBindex], data.scratch_r, data.scratch_v, data.scratch_m);
multiBodyB->calcAccelerationDeltas(&data.m_jacobians[solverConstraint.m_jacBindex],&data.m_deltaVelocitiesUnitImpulse[solverConstraint.m_jacBindex],data.scratch_r, data.scratch_v);
} else
{
btVector3 torqueAxis1 = rel_pos2.cross(contactNormalOnB);
solverConstraint.m_angularComponentB = rb1 ? rb1->getInvInertiaTensorWorld()*-torqueAxis1*rb1->getAngularFactor() : btVector3(0,0,0);
solverConstraint.m_relpos2CrossNormal = -torqueAxis1;
solverConstraint.m_contactNormal2 = -contactNormalOnB;
}
{
btVector3 vec;
btScalar denom0 = 0.f;
btScalar denom1 = 0.f;
btScalar* jacB = 0;
btScalar* jacA = 0;
btScalar* lambdaA =0;
btScalar* lambdaB =0;
int ndofA = 0;
if (multiBodyA)
{
ndofA = multiBodyA->getNumLinks() + 6;
jacA = &data.m_jacobians[solverConstraint.m_jacAindex];
lambdaA = &data.m_deltaVelocitiesUnitImpulse[solverConstraint.m_jacAindex];
for (int i = 0; i < ndofA; ++i)
{
btScalar j = jacA[i] ;
btScalar l =lambdaA[i];
denom0 += j*l;
}
} else
{
if (rb0)
{
vec = ( solverConstraint.m_angularComponentA).cross(rel_pos1);
denom0 = rb0->getInvMass() + contactNormalOnB.dot(vec);
}
}
if (multiBodyB)
{
const int ndofB = multiBodyB->getNumLinks() + 6;
jacB = &data.m_jacobians[solverConstraint.m_jacBindex];
lambdaB = &data.m_deltaVelocitiesUnitImpulse[solverConstraint.m_jacBindex];
for (int i = 0; i < ndofB; ++i)
{
btScalar j = jacB[i] ;
btScalar l =lambdaB[i];
denom1 += j*l;
}
} else
{
if (rb1)
{
vec = ( -solverConstraint.m_angularComponentB).cross(rel_pos2);
denom1 = rb1->getInvMass() + contactNormalOnB.dot(vec);
}
}
if (multiBodyA && (multiBodyA==multiBodyB))
{
// ndof1 == ndof2 in this case
for (int i = 0; i < ndofA; ++i)
{
denom1 += jacB[i] * lambdaA[i];
denom1 += jacA[i] * lambdaB[i];
}
}
btScalar d = denom0+denom1;
if (btFabs(d)>SIMD_EPSILON)
{
solverConstraint.m_jacDiagABInv = relaxation/(d);
} else
{
solverConstraint.m_jacDiagABInv = 1.f;
}
}
//compute rhs and remaining solverConstraint fields
btScalar restitution = 0.f;
btScalar penetration = isFriction? 0 : position+infoGlobal.m_linearSlop;
btScalar rel_vel = 0.f;
int ndofA = 0;
int ndofB = 0;
{
btVector3 vel1,vel2;
if (multiBodyA)
{
ndofA = multiBodyA->getNumLinks() + 6;
btScalar* jacA = &data.m_jacobians[solverConstraint.m_jacAindex];
for (int i = 0; i < ndofA ; ++i)
rel_vel += multiBodyA->getVelocityVector()[i] * jacA[i];
} else
{
if (rb0)
{
rel_vel += rb0->getVelocityInLocalPoint(rel_pos1).dot(solverConstraint.m_contactNormal1);
}
}
if (multiBodyB)
{
ndofB = multiBodyB->getNumLinks() + 6;
btScalar* jacB = &data.m_jacobians[solverConstraint.m_jacBindex];
for (int i = 0; i < ndofB ; ++i)
rel_vel += multiBodyB->getVelocityVector()[i] * jacB[i];
} else
{
if (rb1)
{
rel_vel += rb1->getVelocityInLocalPoint(rel_pos2).dot(solverConstraint.m_contactNormal2);
}
}
solverConstraint.m_friction = 0.f;//cp.m_combinedFriction;
restitution = restitution * -rel_vel;//restitutionCurve(rel_vel, cp.m_combinedRestitution);
if (restitution <= btScalar(0.))
{
restitution = 0.f;
};
}
///warm starting (or zero if disabled)
/*
if (infoGlobal.m_solverMode & SOLVER_USE_WARMSTARTING)
{
solverConstraint.m_appliedImpulse = isFriction ? 0 : cp.m_appliedImpulse * infoGlobal.m_warmstartingFactor;
if (solverConstraint.m_appliedImpulse)
{
if (multiBodyA)
{
btScalar impulse = solverConstraint.m_appliedImpulse;
btScalar* deltaV = &data.m_deltaVelocitiesUnitImpulse[solverConstraint.m_jacAindex];
multiBodyA->applyDeltaVee(deltaV,impulse);
applyDeltaVee(data,deltaV,impulse,solverConstraint.m_deltaVelAindex,ndofA);
} else
{
if (rb0)
bodyA->internalApplyImpulse(solverConstraint.m_contactNormal1*bodyA->internalGetInvMass()*rb0->getLinearFactor(),solverConstraint.m_angularComponentA,solverConstraint.m_appliedImpulse);
}
if (multiBodyB)
{
btScalar impulse = solverConstraint.m_appliedImpulse;
btScalar* deltaV = &data.m_deltaVelocitiesUnitImpulse[solverConstraint.m_jacBindex];
multiBodyB->applyDeltaVee(deltaV,impulse);
applyDeltaVee(data,deltaV,impulse,solverConstraint.m_deltaVelBindex,ndofB);
} else
{
if (rb1)
bodyB->internalApplyImpulse(-solverConstraint.m_contactNormal2*bodyB->internalGetInvMass()*rb1->getLinearFactor(),-solverConstraint.m_angularComponentB,-(btScalar)solverConstraint.m_appliedImpulse);
}
}
} else
*/
{
solverConstraint.m_appliedImpulse = 0.f;
}
solverConstraint.m_appliedPushImpulse = 0.f;
{
btScalar positionalError = 0.f;
btScalar velocityError = restitution - rel_vel;// * damping;
btScalar erp = infoGlobal.m_erp2;
if (!infoGlobal.m_splitImpulse || (penetration > infoGlobal.m_splitImpulsePenetrationThreshold))
{
erp = infoGlobal.m_erp;
}
if (penetration>0)
{
positionalError = 0;
velocityError = -penetration / infoGlobal.m_timeStep;
} else
{
positionalError = -penetration * erp/infoGlobal.m_timeStep;
}
btScalar penetrationImpulse = positionalError*solverConstraint.m_jacDiagABInv;
btScalar velocityImpulse = velocityError *solverConstraint.m_jacDiagABInv;
if (!infoGlobal.m_splitImpulse || (penetration > infoGlobal.m_splitImpulsePenetrationThreshold))
{
//combine position and velocity into rhs
solverConstraint.m_rhs = penetrationImpulse+velocityImpulse;
solverConstraint.m_rhsPenetration = 0.f;
} else
{
//split position and velocity into rhs and m_rhsPenetration
solverConstraint.m_rhs = velocityImpulse;
solverConstraint.m_rhsPenetration = penetrationImpulse;
}
solverConstraint.m_cfm = 0.f;
solverConstraint.m_lowerLimit = -m_maxAppliedImpulse;
solverConstraint.m_upperLimit = m_maxAppliedImpulse;
}
}
void btContactArray::merge_contacts(
const btContactArray & contacts, bool normal_contact_average)
{
clear();
int i;
if(contacts.size()==0) return;
if(contacts.size()==1)
{
push_back(contacts[0]);
return;
}
btAlignedObjectArray<CONTACT_KEY_TOKEN> keycontacts;
keycontacts.reserve(contacts.size());
//fill key contacts
for ( i = 0;i<contacts.size() ;i++ )
{
keycontacts.push_back(CONTACT_KEY_TOKEN(contacts[i].calc_key_contact(),i));
}
//sort keys
keycontacts.quickSort(CONTACT_KEY_TOKEN_COMP());
// Merge contacts
int coincident_count=0;
btVector3 coincident_normals[MAX_COINCIDENT];
unsigned int last_key = keycontacts[0].m_key;
unsigned int key = 0;
push_back(contacts[keycontacts[0].m_value]);
GIM_CONTACT * pcontact = &(*this)[0];
for( i=1;i<keycontacts.size();i++)
{
key = keycontacts[i].m_key;
const GIM_CONTACT * scontact = &contacts[keycontacts[i].m_value];
if(last_key == key)//same points
{
//merge contact
if(pcontact->m_depth - CONTACT_DIFF_EPSILON > scontact->m_depth)//)
{
*pcontact = *scontact;
coincident_count = 0;
}
else if(normal_contact_average)
{
if(btFabs(pcontact->m_depth - scontact->m_depth)<CONTACT_DIFF_EPSILON)
{
if(coincident_count<MAX_COINCIDENT)
{
coincident_normals[coincident_count] = scontact->m_normal;
coincident_count++;
}
}
}
}
else
{//add new contact
if(normal_contact_average && coincident_count>0)
{
pcontact->interpolate_normals(coincident_normals,coincident_count);
coincident_count = 0;
}
push_back(*scontact);
pcontact = &(*this)[this->size()-1];
}
last_key = key;
}
}
void btConvexPolyhedron::initialize()
{
btHashMap<btInternalVertexPair,btInternalEdge> edges;
btScalar TotalArea = 0.0f;
m_localCenter.setValue(0, 0, 0);
for(int i=0;i<m_faces.size();i++)
{
int numVertices = m_faces[i].m_indices.size();
int NbTris = numVertices;
for(int j=0;j<NbTris;j++)
{
int k = (j+1)%numVertices;
btInternalVertexPair vp(m_faces[i].m_indices[j],m_faces[i].m_indices[k]);
btInternalEdge* edptr = edges.find(vp);
btVector3 edge = m_vertices[vp.m_v1]-m_vertices[vp.m_v0];
edge.normalize();
bool found = false;
for (int p=0;p<m_uniqueEdges.size();p++)
{
if (IsAlmostZero(m_uniqueEdges[p]-edge) ||
IsAlmostZero(m_uniqueEdges[p]+edge))
{
found = true;
break;
}
}
if (!found)
{
m_uniqueEdges.push_back(edge);
}
if (edptr)
{
#if 0
btAssert(edptr->m_face0>=0);
btAssert(edptr->m_face1<0);
#else
// why I am getting this asserts on some maps?
#endif
edptr->m_face1 = i;
} else
{
btInternalEdge ed;
ed.m_face0 = i;
edges.insert(vp,ed);
}
}
}
#ifdef USE_CONNECTED_FACES
for(int i=0;i<m_faces.size();i++)
{
int numVertices = m_faces[i].m_indices.size();
m_faces[i].m_connectedFaces.resize(numVertices);
for(int j=0;j<numVertices;j++)
{
int k = (j+1)%numVertices;
btInternalVertexPair vp(m_faces[i].m_indices[j],m_faces[i].m_indices[k]);
btInternalEdge* edptr = edges.find(vp);
btAssert(edptr);
btAssert(edptr->m_face0>=0);
btAssert(edptr->m_face1>=0);
int connectedFace = (edptr->m_face0==i)?edptr->m_face1:edptr->m_face0;
m_faces[i].m_connectedFaces[j] = connectedFace;
}
}
#endif//USE_CONNECTED_FACES
for(int i=0;i<m_faces.size();i++)
{
int numVertices = m_faces[i].m_indices.size();
int NbTris = numVertices-2;
const btVector3& p0 = m_vertices[m_faces[i].m_indices[0]];
for(int j=1;j<=NbTris;j++)
{
int k = (j+1)%numVertices;
const btVector3& p1 = m_vertices[m_faces[i].m_indices[j]];
const btVector3& p2 = m_vertices[m_faces[i].m_indices[k]];
btScalar Area = ((p0 - p1).cross(p0 - p2)).length() * 0.5f;
btVector3 Center = (p0+p1+p2)/3.0f;
m_localCenter += Area * Center;
TotalArea += Area;
}
}
m_localCenter /= TotalArea;
#ifdef TEST_INTERNAL_OBJECTS
if(1)
{
m_radius = FLT_MAX;
for(int i=0;i<m_faces.size();i++)
{
const btVector3 Normal(m_faces[i].m_plane[0], m_faces[i].m_plane[1], m_faces[i].m_plane[2]);
const btScalar dist = btFabs(m_localCenter.dot(Normal) + m_faces[i].m_plane[3]);
if(dist<m_radius)
m_radius = dist;
}
btScalar MinX = FLT_MAX;
btScalar MinY = FLT_MAX;
btScalar MinZ = FLT_MAX;
btScalar MaxX = -FLT_MAX;
btScalar MaxY = -FLT_MAX;
btScalar MaxZ = -FLT_MAX;
for(int i=0; i<m_vertices.size(); i++)
{
const btVector3& pt = m_vertices[i];
if(pt.x()<MinX) MinX = pt.x();
if(pt.x()>MaxX) MaxX = pt.x();
if(pt.y()<MinY) MinY = pt.y();
if(pt.y()>MaxY) MaxY = pt.y();
if(pt.z()<MinZ) MinZ = pt.z();
if(pt.z()>MaxZ) MaxZ = pt.z();
}
mC.setValue(MaxX+MinX, MaxY+MinY, MaxZ+MinZ);
mE.setValue(MaxX-MinX, MaxY-MinY, MaxZ-MinZ);
// const btScalar r = m_radius / sqrtf(2.0f);
const btScalar r = m_radius / sqrtf(3.0f);
const int LargestExtent = mE.maxAxis();
const btScalar Step = (mE[LargestExtent]*0.5f - r)/1024.0f;
m_extents[0] = m_extents[1] = m_extents[2] = r;
m_extents[LargestExtent] = mE[LargestExtent]*0.5f;
bool FoundBox = false;
for(int j=0;j<1024;j++)
{
if(testContainment())
{
FoundBox = true;
break;
}
m_extents[LargestExtent] -= Step;
}
if(!FoundBox)
{
m_extents[0] = m_extents[1] = m_extents[2] = r;
}
else
{
// Refine the box
const btScalar Step = (m_radius - r)/1024.0f;
const int e0 = (1<<LargestExtent) & 3;
const int e1 = (1<<e0) & 3;
for(int j=0;j<1024;j++)
{
const btScalar Saved0 = m_extents[e0];
const btScalar Saved1 = m_extents[e1];
m_extents[e0] += Step;
m_extents[e1] += Step;
if(!testContainment())
{
m_extents[e0] = Saved0;
m_extents[e1] = Saved1;
break;
}
}
}
}
#endif
}
void btConeTwistConstraint::buildJacobian()
{
m_appliedImpulse = btScalar(0.);
//set bias, sign, clear accumulator
m_swingCorrection = btScalar(0.);
m_twistLimitSign = btScalar(0.);
m_solveTwistLimit = false;
m_solveSwingLimit = false;
m_accTwistLimitImpulse = btScalar(0.);
m_accSwingLimitImpulse = btScalar(0.);
if (!m_angularOnly)
{
btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin();
btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin();
btVector3 relPos = pivotBInW - pivotAInW;
btVector3 normal[3];
if (relPos.length2() > SIMD_EPSILON)
{
normal[0] = relPos.normalized();
}
else
{
normal[0].setValue(btScalar(1.0),0,0);
}
btPlaneSpace1(normal[0], normal[1], normal[2]);
for (int i=0;i<3;i++)
{
new (&m_jac[i]) btJacobianEntry(
m_rbA.getCenterOfMassTransform().getBasis().transpose(),
m_rbB.getCenterOfMassTransform().getBasis().transpose(),
pivotAInW - m_rbA.getCenterOfMassPosition(),
pivotBInW - m_rbB.getCenterOfMassPosition(),
normal[i],
m_rbA.getInvInertiaDiagLocal(),
m_rbA.getInvMass(),
m_rbB.getInvInertiaDiagLocal(),
m_rbB.getInvMass());
}
}
btVector3 b1Axis1,b1Axis2,b1Axis3;
btVector3 b2Axis1,b2Axis2;
b1Axis1 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(0);
b2Axis1 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(0);
btScalar swing1=btScalar(0.),swing2 = btScalar(0.);
// Get Frame into world space
if (m_swingSpan1 >= btScalar(0.05f))
{
b1Axis2 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(1);
swing1 = btAtan2Fast( b2Axis1.dot(b1Axis2),b2Axis1.dot(b1Axis1) );
}
if (m_swingSpan2 >= btScalar(0.05f))
{
b1Axis3 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(2);
swing2 = btAtan2Fast( b2Axis1.dot(b1Axis3),b2Axis1.dot(b1Axis1) );
}
btScalar RMaxAngle1Sq = 1.0f / (m_swingSpan1*m_swingSpan1);
btScalar RMaxAngle2Sq = 1.0f / (m_swingSpan2*m_swingSpan2);
btScalar EllipseAngle = btFabs(swing1)* RMaxAngle1Sq + btFabs(swing2) * RMaxAngle2Sq;
if (EllipseAngle > 1.0f)
{
m_swingCorrection = EllipseAngle-1.0f;
m_solveSwingLimit = true;
// Calculate necessary axis & factors
m_swingAxis = b2Axis1.cross(b1Axis2* b2Axis1.dot(b1Axis2) + b1Axis3* b2Axis1.dot(b1Axis3));
m_swingAxis.normalize();
btScalar swingAxisSign = (b2Axis1.dot(b1Axis1) >= 0.0f) ? 1.0f : -1.0f;
m_swingAxis *= swingAxisSign;
m_kSwing = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_swingAxis) +
getRigidBodyB().computeAngularImpulseDenominator(m_swingAxis));
}
// Twist limits
if (m_twistSpan >= btScalar(0.))
{
btVector3 b2Axis2 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(1);
btQuaternion rotationArc = shortestArcQuat(b2Axis1,b1Axis1);
btVector3 TwistRef = quatRotate(rotationArc,b2Axis2);
btScalar twist = btAtan2Fast( TwistRef.dot(b1Axis3), TwistRef.dot(b1Axis2) );
btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? m_limitSoftness : btScalar(0.);
if (twist <= -m_twistSpan*lockedFreeFactor)
{
m_twistCorrection = -(twist + m_twistSpan);
m_solveTwistLimit = true;
m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f;
m_twistAxis.normalize();
m_twistAxis *= -1.0f;
m_kTwist = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_twistAxis) +
getRigidBodyB().computeAngularImpulseDenominator(m_twistAxis));
} else
if (twist > m_twistSpan*lockedFreeFactor)
{
m_twistCorrection = (twist - m_twistSpan);
m_solveTwistLimit = true;
m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f;
m_twistAxis.normalize();
m_kTwist = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_twistAxis) +
getRigidBodyB().computeAngularImpulseDenominator(m_twistAxis));
}
}
}