Basic support for COLLADA physics constraints (each DOF can be completely locked or free, no limits yet)

This commit is contained in:
ejcoumans
2006-07-28 21:49:26 +00:00
parent 63594284c3
commit b8cbfe5f72
5 changed files with 379 additions and 120 deletions

View File

@@ -32,6 +32,10 @@ Generic6DofConstraint::Generic6DofConstraint(RigidBody& rbA, RigidBody& rbB, con
, m_frameInA(frameInA)
, m_frameInB(frameInB)
{
//free means upper < lower,
//locked means upper == lower
//limited means upper > lower
//so start all locked
for (int i=0; i<6;++i)
{
m_lowerLimit[i] = 0.0f;
@@ -59,50 +63,56 @@ void Generic6DofConstraint::BuildJacobian()
//linear part
for (i=0;i<3;i++)
{
normal[i] = 1;
// Create linear atom
new (&m_jac[i]) JacobianEntry(
m_rbA.getCenterOfMassTransform().getBasis().transpose(),
m_rbB.getCenterOfMassTransform().getBasis().transpose(),
m_rbA.getCenterOfMassTransform()*pivotInA - m_rbA.getCenterOfMassPosition(),
m_rbB.getCenterOfMassTransform()*pivotInB - m_rbB.getCenterOfMassPosition(),
normal,
m_rbA.getInvInertiaDiagLocal(),
m_rbA.getInvMass(),
m_rbB.getInvInertiaDiagLocal(),
m_rbB.getInvMass());
if (isLimited(i))
{
normal[i] = 1;
// Create linear atom
new (&m_jacLinear[i]) JacobianEntry(
m_rbA.getCenterOfMassTransform().getBasis().transpose(),
m_rbB.getCenterOfMassTransform().getBasis().transpose(),
m_rbA.getCenterOfMassTransform()*pivotInA - m_rbA.getCenterOfMassPosition(),
m_rbB.getCenterOfMassTransform()*pivotInB - m_rbB.getCenterOfMassPosition(),
normal,
m_rbA.getInvInertiaDiagLocal(),
m_rbA.getInvMass(),
m_rbB.getInvInertiaDiagLocal(),
m_rbB.getInvMass());
// Apply accumulated impulse
SimdVector3 impulse_vector = m_accumulatedImpulse[i] * normal;
// Apply accumulated impulse
SimdVector3 impulse_vector = m_accumulatedImpulse[i] * normal;
m_rbA.applyImpulse( impulse_vector, rel_pos1);
m_rbB.applyImpulse(-impulse_vector, rel_pos2);
m_rbA.applyImpulse( impulse_vector, rel_pos1);
m_rbB.applyImpulse(-impulse_vector, rel_pos2);
normal[i] = 0;
normal[i] = 0;
}
}
// angular part
for (i=0;i<3;i++)
{
SimdVector3 axisA = m_rbA.getCenterOfMassTransform().getBasis() * m_frameInA.getBasis().getColumn( kAxisA[i] );
SimdVector3 axisB = m_rbB.getCenterOfMassTransform().getBasis() * m_frameInB.getBasis().getColumn( kAxisB[i] );
if (isLimited(i+3))
{
SimdVector3 axisA = m_rbA.getCenterOfMassTransform().getBasis() * m_frameInA.getBasis().getColumn( kAxisA[i] );
SimdVector3 axisB = m_rbB.getCenterOfMassTransform().getBasis() * m_frameInB.getBasis().getColumn( kAxisB[i] );
// Dirk: This is IMO mathematically the correct way, but we should consider axisA and axisB being near parallel maybe
SimdVector3 axis = kSign[i] * axisA.cross(axisB);
// Dirk: This is IMO mathematically the correct way, but we should consider axisA and axisB being near parallel maybe
SimdVector3 axis = kSign[i] * axisA.cross(axisB);
// Create angular atom
new (&m_jacAng[i]) JacobianEntry(axis,
m_rbA.getCenterOfMassTransform().getBasis().transpose(),
m_rbB.getCenterOfMassTransform().getBasis().transpose(),
m_rbA.getInvInertiaDiagLocal(),
m_rbB.getInvInertiaDiagLocal());
// Create angular atom
new (&m_jacAng[i]) JacobianEntry(axis,
m_rbA.getCenterOfMassTransform().getBasis().transpose(),
m_rbB.getCenterOfMassTransform().getBasis().transpose(),
m_rbA.getInvInertiaDiagLocal(),
m_rbB.getInvInertiaDiagLocal());
// Apply accumulated impulse
SimdVector3 impulse_vector = m_accumulatedImpulse[i + 3] * axis;
// Apply accumulated impulse
SimdVector3 impulse_vector = m_accumulatedImpulse[i + 3] * axis;
m_rbA.applyTorqueImpulse( impulse_vector);
m_rbB.applyTorqueImpulse(-impulse_vector);
m_rbA.applyTorqueImpulse( impulse_vector);
m_rbB.applyTorqueImpulse(-impulse_vector);
}
}
}
@@ -123,58 +133,64 @@ void Generic6DofConstraint::SolveConstraint(SimdScalar timeStep)
// linear
for (i=0;i<3;i++)
{
SimdVector3 angvelA = m_rbA.getCenterOfMassTransform().getBasis().transpose() * m_rbA.getAngularVelocity();
SimdVector3 angvelB = m_rbB.getCenterOfMassTransform().getBasis().transpose() * m_rbB.getAngularVelocity();
normal[i] = 1;
SimdScalar jacDiagABInv = 1.f / m_jac[i].getDiagonal();
//velocity error (first order error)
SimdScalar rel_vel = m_jac[i].getRelativeVelocity(m_rbA.getLinearVelocity(),angvelA,
m_rbB.getLinearVelocity(),angvelB);
//positional error (zeroth order error)
SimdScalar depth = -(pivotAInW - pivotBInW).dot(normal);
if (isLimited(i))
{
SimdVector3 angvelA = m_rbA.getCenterOfMassTransform().getBasis().transpose() * m_rbA.getAngularVelocity();
SimdVector3 angvelB = m_rbB.getCenterOfMassTransform().getBasis().transpose() * m_rbB.getAngularVelocity();
SimdScalar impulse = (tau*depth/timeStep - damping*rel_vel) * jacDiagABInv;
m_accumulatedImpulse[i] += impulse;
SimdVector3 impulse_vector = normal * impulse;
m_rbA.applyImpulse( impulse_vector, rel_pos1);
m_rbB.applyImpulse(-impulse_vector, rel_pos2);
normal[i] = 1;
SimdScalar jacDiagABInv = 1.f / m_jacLinear[i].getDiagonal();
//velocity error (first order error)
SimdScalar rel_vel = m_jacLinear[i].getRelativeVelocity(m_rbA.getLinearVelocity(),angvelA,
m_rbB.getLinearVelocity(),angvelB);
normal[i] = 0;
//positional error (zeroth order error)
SimdScalar depth = -(pivotAInW - pivotBInW).dot(normal);
SimdScalar impulse = (tau*depth/timeStep - damping*rel_vel) * jacDiagABInv;
m_accumulatedImpulse[i] += impulse;
SimdVector3 impulse_vector = normal * impulse;
m_rbA.applyImpulse( impulse_vector, rel_pos1);
m_rbB.applyImpulse(-impulse_vector, rel_pos2);
normal[i] = 0;
}
}
// angular
for (i=0;i<3;i++)
{
SimdVector3 angvelA = m_rbA.getCenterOfMassTransform().getBasis().transpose() * m_rbA.getAngularVelocity();
SimdVector3 angvelB = m_rbB.getCenterOfMassTransform().getBasis().transpose() * m_rbB.getAngularVelocity();
SimdScalar jacDiagABInv = 1.f / m_jacAng[i].getDiagonal();
if (isLimited(i+3))
{
SimdVector3 angvelA = m_rbA.getCenterOfMassTransform().getBasis().transpose() * m_rbA.getAngularVelocity();
SimdVector3 angvelB = m_rbB.getCenterOfMassTransform().getBasis().transpose() * m_rbB.getAngularVelocity();
//velocity error (first order error)
SimdScalar rel_vel = m_jacAng[i].getRelativeVelocity(m_rbA.getLinearVelocity(),angvelA,
m_rbB.getLinearVelocity(),angvelB);
SimdScalar jacDiagABInv = 1.f / m_jacAng[i].getDiagonal();
//velocity error (first order error)
SimdScalar rel_vel = m_jacAng[i].getRelativeVelocity(m_rbA.getLinearVelocity(),angvelA,
m_rbB.getLinearVelocity(),angvelB);
//positional error (zeroth order error)
SimdVector3 axisA = m_rbA.getCenterOfMassTransform().getBasis() * m_frameInA.getBasis().getColumn( kAxisA[i] );
SimdVector3 axisB = m_rbB.getCenterOfMassTransform().getBasis() * m_frameInB.getBasis().getColumn( kAxisB[i] );
//positional error (zeroth order error)
SimdVector3 axisA = m_rbA.getCenterOfMassTransform().getBasis() * m_frameInA.getBasis().getColumn( kAxisA[i] );
SimdVector3 axisB = m_rbB.getCenterOfMassTransform().getBasis() * m_frameInB.getBasis().getColumn( kAxisB[i] );
SimdScalar rel_pos = kSign[i] * axisA.dot(axisB);
SimdScalar rel_pos = kSign[i] * axisA.dot(axisB);
//impulse
SimdScalar impulse = -(tau*rel_pos/timeStep + damping*rel_vel) * jacDiagABInv;
m_accumulatedImpulse[i + 3] += impulse;
// Dirk: Not needed - we could actually project onto Jacobian entry here (same as above)
SimdVector3 axis = kSign[i] * axisA.cross(axisB);
SimdVector3 impulse_vector = axis * impulse;
//impulse
SimdScalar impulse = -(tau*rel_pos/timeStep + damping*rel_vel) * jacDiagABInv;
m_accumulatedImpulse[i + 3] += impulse;
// Dirk: Not needed - we could actually project onto Jacobian entry here (same as above)
SimdVector3 axis = kSign[i] * axisA.cross(axisB);
SimdVector3 impulse_vector = axis * impulse;
m_rbA.applyTorqueImpulse( impulse_vector);
m_rbB.applyTorqueImpulse(-impulse_vector);
m_rbA.applyTorqueImpulse( impulse_vector);
m_rbB.applyTorqueImpulse(-impulse_vector);
}
}
}

View File

@@ -30,7 +30,7 @@ class RigidBody;
/// Work in progress (is still a Hinge actually)
class Generic6DofConstraint : public TypedConstraint
{
JacobianEntry m_jac[3]; // 3 orthogonal linear constraints
JacobianEntry m_jacLinear[3]; // 3 orthogonal linear constraints
JacobianEntry m_jacAng[3]; // 3 orthogonal angular constraints
SimdTransform m_frameInA; // the constraint space w.r.t body A
@@ -55,11 +55,49 @@ public:
SimdScalar ComputeAngle(int axis) const;
void SetAngularLimit(int axis, SimdScalar lo, SimdScalar hi)
{
m_lowerLimit[axis + 3] = lo;
m_upperLimit[axis + 3] = hi;
}
void setLinearLowerLimit(const SimdVector3& linearLower)
{
m_lowerLimit[0] = linearLower.getX();
m_lowerLimit[1] = linearLower.getY();
m_lowerLimit[2] = linearLower.getZ();
}
void setLinearUpperLimit(const SimdVector3& linearUpper)
{
m_upperLimit[0] = linearUpper.getX();
m_upperLimit[1] = linearUpper.getY();
m_upperLimit[2] = linearUpper.getZ();
}
void setAngularLowerLimit(const SimdVector3& angularLower)
{
m_lowerLimit[3] = angularLower.getX();
m_lowerLimit[4] = angularLower.getY();
m_lowerLimit[5] = angularLower.getZ();
}
void setAngularUpperLimit(const SimdVector3& angularUpper)
{
m_upperLimit[3] = angularUpper.getX();
m_upperLimit[4] = angularUpper.getY();
m_upperLimit[5] = angularUpper.getZ();
}
//first 3 are linear, next 3 are angular
void SetLimit(int axis, SimdScalar lo, SimdScalar hi)
{
m_lowerLimit[axis] = lo;
m_upperLimit[axis] = hi;
}
//free means upper < lower,
//locked means upper == lower
//limited means upper > lower
//limitIndex: first 3 are linear, next 3 are angular
bool isLimited(int limitIndex)
{
return (m_upperLimit[limitIndex] >= m_lowerLimit[limitIndex]);
}
const RigidBody& GetRigidBodyA() const
{