in Box2D/Dynamics/Contacts/b2ContactSolver.cpp [745:833]
bool b2ContactSolver::SolveTOIPositionConstraints(int32 toiIndexA, int32 toiIndexB)
{
float32 minSeparation = 0.0f;
for (int32 i = 0; i < m_count; ++i)
{
b2ContactPositionConstraint* pc = m_positionConstraints + i;
int32 indexA = pc->indexA;
int32 indexB = pc->indexB;
b2Vec2 localCenterA = pc->localCenterA;
b2Vec2 localCenterB = pc->localCenterB;
int32 pointCount = pc->pointCount;
float32 mA = 0.0f;
float32 iA = 0.0f;
if (indexA == toiIndexA || indexA == toiIndexB)
{
mA = pc->invMassA;
iA = pc->invIA;
}
float32 mB = 0.0f;
float32 iB = 0.;
if (indexB == toiIndexA || indexB == toiIndexB)
{
mB = pc->invMassB;
iB = pc->invIB;
}
b2Vec2 cA = m_positions[indexA].c;
float32 aA = m_positions[indexA].a;
b2Vec2 cB = m_positions[indexB].c;
float32 aB = m_positions[indexB].a;
// Solve normal constraints
for (int32 j = 0; j < pointCount; ++j)
{
b2Transform xfA, xfB;
xfA.q.Set(aA);
xfB.q.Set(aB);
xfA.p = cA - b2Mul(xfA.q, localCenterA);
xfB.p = cB - b2Mul(xfB.q, localCenterB);
b2PositionSolverManifold psm;
psm.Initialize(pc, xfA, xfB, j);
b2Vec2 normal = psm.normal;
b2Vec2 point = psm.point;
float32 separation = psm.separation;
b2Vec2 rA = point - cA;
b2Vec2 rB = point - cB;
// Track max constraint error.
minSeparation = b2Min(minSeparation, separation);
// Prevent large corrections and allow slop.
float32 C = b2Clamp(b2_toiBaugarte * (separation + b2_linearSlop), -b2_maxLinearCorrection, 0.0f);
// Compute the effective mass.
float32 rnA = b2Cross(rA, normal);
float32 rnB = b2Cross(rB, normal);
float32 K = mA + mB + iA * rnA * rnA + iB * rnB * rnB;
// Compute normal impulse
float32 impulse = K > 0.0f ? - C / K : 0.0f;
b2Vec2 P = impulse * normal;
cA -= mA * P;
aA -= iA * b2Cross(rA, P);
cB += mB * P;
aB += iB * b2Cross(rB, P);
}
m_positions[indexA].c = cA;
m_positions[indexA].a = aA;
m_positions[indexB].c = cB;
m_positions[indexB].a = aB;
}
// We can't expect minSpeparation >= -b2_linearSlop because we don't
// push the separation above -b2_linearSlop.
return minSeparation >= -1.5f * b2_linearSlop;
}