in Box2D/Dynamics/Joints/b2RevoluteJoint.cpp [183:289]
void b2RevoluteJoint::SolveVelocityConstraints(const b2SolverData& data)
{
b2Vec2 vA = data.velocities[m_indexA].v;
float32 wA = data.velocities[m_indexA].w;
b2Vec2 vB = data.velocities[m_indexB].v;
float32 wB = data.velocities[m_indexB].w;
float32 mA = m_invMassA, mB = m_invMassB;
float32 iA = m_invIA, iB = m_invIB;
bool fixedRotation = (iA + iB == 0.0f);
// Solve motor constraint.
if (m_enableMotor && m_limitState != e_equalLimits && fixedRotation == false)
{
float32 Cdot = wB - wA - m_motorSpeed;
float32 impulse = -m_motorMass * Cdot;
float32 oldImpulse = m_motorImpulse;
float32 maxImpulse = data.step.dt * m_maxMotorTorque;
m_motorImpulse = b2Clamp(m_motorImpulse + impulse, -maxImpulse, maxImpulse);
impulse = m_motorImpulse - oldImpulse;
wA -= iA * impulse;
wB += iB * impulse;
}
// Solve limit constraint.
if (m_enableLimit && m_limitState != e_inactiveLimit && fixedRotation == false)
{
b2Vec2 Cdot1 = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
float32 Cdot2 = wB - wA;
b2Vec3 Cdot(Cdot1.x, Cdot1.y, Cdot2);
b2Vec3 impulse = -m_mass.Solve33(Cdot);
if (m_limitState == e_equalLimits)
{
m_impulse += impulse;
}
else if (m_limitState == e_atLowerLimit)
{
float32 newImpulse = m_impulse.z + impulse.z;
if (newImpulse < 0.0f)
{
b2Vec2 rhs = -Cdot1 + m_impulse.z * b2Vec2(m_mass.ez.x, m_mass.ez.y);
b2Vec2 reduced = m_mass.Solve22(rhs);
impulse.x = reduced.x;
impulse.y = reduced.y;
impulse.z = -m_impulse.z;
m_impulse.x += reduced.x;
m_impulse.y += reduced.y;
m_impulse.z = 0.0f;
}
else
{
m_impulse += impulse;
}
}
else if (m_limitState == e_atUpperLimit)
{
float32 newImpulse = m_impulse.z + impulse.z;
if (newImpulse > 0.0f)
{
b2Vec2 rhs = -Cdot1 + m_impulse.z * b2Vec2(m_mass.ez.x, m_mass.ez.y);
b2Vec2 reduced = m_mass.Solve22(rhs);
impulse.x = reduced.x;
impulse.y = reduced.y;
impulse.z = -m_impulse.z;
m_impulse.x += reduced.x;
m_impulse.y += reduced.y;
m_impulse.z = 0.0f;
}
else
{
m_impulse += impulse;
}
}
b2Vec2 P(impulse.x, impulse.y);
vA -= mA * P;
wA -= iA * (b2Cross(m_rA, P) + impulse.z);
vB += mB * P;
wB += iB * (b2Cross(m_rB, P) + impulse.z);
}
else
{
// Solve point-to-point constraint
b2Vec2 Cdot = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
b2Vec2 impulse = m_mass.Solve22(-Cdot);
m_impulse.x += impulse.x;
m_impulse.y += impulse.y;
vA -= mA * impulse;
wA -= iA * b2Cross(m_rA, impulse);
vB += mB * impulse;
wB += iB * b2Cross(m_rB, impulse);
}
data.velocities[m_indexA].v = vA;
data.velocities[m_indexA].w = wA;
data.velocities[m_indexB].v = vB;
data.velocities[m_indexB].w = wB;
}