void DrawShape(Fixture fixture, Transform xf, Color color)
{
switch (fixture.ShapeType)
{
case ShapeType.Circle:
{
CircleShape circle = (CircleShape)fixture.GetShape();
Vector2 center = MathUtils.Multiply(ref xf, circle._p);
float radius = circle._radius;
Vector2 axis = xf.R.col1;
DebugDraw.DrawSolidCircle(center, radius, axis, color);
}
break;
case ShapeType.Polygon:
{
PolygonShape poly = (PolygonShape)fixture.GetShape();
int vertexCount = poly._vertexCount;
Debug.Assert(vertexCount <= Settings.b2_maxPolygonVertices);
FixedArray8 <Vector2> vertices = new FixedArray8 <Vector2>();
for (int i = 0; i < vertexCount; ++i)
{
vertices[i] = MathUtils.Multiply(ref xf, poly._vertices[i]);
}
DebugDraw.DrawSolidPolygon(ref vertices, vertexCount, color);
}
break;
}
}
public void Initialize(Contact[] contacts, int count, Body toiBody)
{
_count = count;
_toiBody = toiBody;
if (_constraints.Length < _count)
{
_constraints = new TOIConstraint[Math.Max(_constraints.Length * 2, _count)];
}
for (int i = 0; i < _count; ++i)
{
Contact contact = contacts[i];
Fixture fixtureA = contact.GetFixtureA();
Fixture fixtureB = contact.GetFixtureB();
Shape shapeA = fixtureA.GetShape();
Shape shapeB = fixtureB.GetShape();
float radiusA = shapeA._radius;
float radiusB = shapeB._radius;
Body bodyA = fixtureA.GetBody();
Body bodyB = fixtureB.GetBody();
Manifold manifold;
contact.GetManifold(out manifold);
Debug.Assert(manifold._pointCount > 0);
TOIConstraint constraint = _constraints[i];
constraint.bodyA = bodyA;
constraint.bodyB = bodyB;
constraint.localNormal = manifold._localNormal;
constraint.localPoint = manifold._localPoint;
constraint.type = manifold._type;
constraint.pointCount = manifold._pointCount;
constraint.radius = radiusA + radiusB;
for (int j = 0; j < constraint.pointCount; ++j)
{
constraint.localPoints[j] = manifold._points[j].LocalPoint;
}
_constraints[i] = constraint;
}
}
// Advance a dynamic body to its first time of contact
// and adjust the position to ensure clearance.
void SolveTOI(Body body)
{
// Find the minimum contact.
Contact toiContact = null;
float toi = 1.0f;
bool found;
int count;
int iter = 0;
bool bullet = body.IsBullet;
// Iterate until all contacts agree on the minimum TOI. We have
// to iterate because the TOI algorithm may skip some intermediate
// collisions when objects rotate through each other.
do
{
count = 0;
found = false;
for (ContactEdge ce = body._contactList; ce != null; ce = ce.Next)
{
Body other = ce.Other;
BodyType type = other.GetType();
// Only bullets perform TOI with dynamic bodies.
if (bullet == true)
{
// Bullets only perform TOI with bodies that have their TOI resolved.
if ((other._flags & BodyFlags.Toi) == 0)
{
continue;
}
}
else if (type == BodyType.Dynamic)
{
continue;
}
// Check for a disabled contact.
Contact contact = ce.Contact;
if (contact.IsEnabled() == false)
{
continue;
}
// Prevent infinite looping.
if (contact._toiCount > 10)
{
continue;
}
Fixture fixtureA = contact._fixtureA;
Fixture fixtureB = contact._fixtureB;
// Cull sensors.
if (fixtureA.IsSensor() || fixtureB.IsSensor())
{
continue;
}
Body bodyA = fixtureA._body;
Body bodyB = fixtureB._body;
// Compute the time of impact in interval [0, minTOI]
TOIInput input = new TOIInput();
input.proxyA.Set(fixtureA.GetShape());
input.proxyB.Set(fixtureB.GetShape());
input.sweepA = bodyA._sweep;
input.sweepB = bodyB._sweep;
input.tMax = toi;
TOIOutput output;
TimeOfImpact.CalculateTimeOfImpact(out output, ref input);
if (output.State == TOIOutputState.Touching && output.t < toi)
{
toiContact = contact;
toi = output.t;
found = true;
}
++count;
}
++iter;
} while (found && count > 1 && iter < 50);
if (toiContact == null)
{
return;
}
// Advance the body to its safe time.
Sweep backup = body._sweep;
body.Advance(toi);
++toiContact._toiCount;
// Update all the valid contacts on this body and build a contact island.
count = 0;
for (ContactEdge ce = body._contactList; (ce != null) && (count < Settings.b2_maxTOIContacts); ce = ce.Next)
{
Body other = ce.Other;
BodyType type = other.GetType();
// Only perform correction with static bodies, so the
// body won't get pushed out of the world.
if (type != BodyType.Static)
{
continue;
}
// Check for a disabled contact.
Contact contact = ce.Contact;
if (contact.IsEnabled() == false)
{
continue;
}
Fixture fixtureA = contact._fixtureA;
Fixture fixtureB = contact._fixtureB;
// Cull sensors.
if (fixtureA.IsSensor() || fixtureB.IsSensor())
{
continue;
}
// The contact likely has some new contact points. The listener
// gives the user a chance to disable the contact;
contact.Update(_contactManager.ContactListener);
// Did the user disable the contact?
if (contact.IsEnabled() == false)
{
if (contact == toiContact)
{
// Restore the body's sweep.
body._sweep = backup;
body.SynchronizeTransform();
// Recurse because the TOI has been invalidated.
SolveTOI(body);
return;
}
// Skip this contact.
continue;
}
if (contact.IsTouching() == false)
{
continue;
}
_toiContacts[count] = contact;
++count;
}
// Reduce the TOI body's overlap with the contact island.
_toiSolver.Initialize(_toiContacts, count, body);
const float k_toiBaumgarte = 0.75f;
//bool solved = false;
for (int i = 0; i < 20; ++i)
{
bool contactsOkay = _toiSolver.Solve(k_toiBaumgarte);
if (contactsOkay)
{
//solved = true;
break;
}
}
}
void DrawShape(Fixture fixture, Transform xf, Color color)
{
switch (fixture.ShapeType)
{
case ShapeType.Circle:
{
CircleShape circle = (CircleShape)fixture.GetShape();
Vector2 center = MathUtils.Multiply(ref xf, circle._p);
float radius = circle._radius;
Vector2 axis = xf.R.col1;
DebugDraw.DrawSolidCircle(center, radius, axis, color);
}
break;
case ShapeType.Polygon:
{
PolygonShape poly = (PolygonShape)fixture.GetShape();
int vertexCount = poly._vertexCount;
Debug.Assert(vertexCount <= Settings.b2_maxPolygonVertices);
FixedArray8<Vector2> vertices = new FixedArray8<Vector2>();
for (int i = 0; i < vertexCount; ++i)
{
vertices[i] = MathUtils.Multiply(ref xf, poly._vertices[i]);
}
DebugDraw.DrawSolidPolygon(ref vertices, vertexCount, color);
}
break;
}
}
public void Reset(Contact[] contacts, int contactCount, float impulseRatio)
{
_contacts = contacts;
_constraintCount = contactCount;
// grow the array
if (_constraints == null || _constraints.Length < _constraintCount)
{
_constraints = new ContactConstraint[_constraintCount * 2];
}
for (int i = 0; i < _constraintCount; ++i)
{
Contact contact = contacts[i];
Fixture fixtureA = contact._fixtureA;
Fixture fixtureB = contact._fixtureB;
Shape shapeA = fixtureA.GetShape();
Shape shapeB = fixtureB.GetShape();
float radiusA = shapeA._radius;
float radiusB = shapeB._radius;
Body bodyA = fixtureA.GetBody();
Body bodyB = fixtureB.GetBody();
Manifold manifold;
contact.GetManifold(out manifold);
float friction = Settings.b2MixFriction(fixtureA.GetFriction(), fixtureB.GetFriction());
float restitution = Settings.b2MixRestitution(fixtureA.GetRestitution(), fixtureB.GetRestitution());
Vector2 vA = bodyA._linearVelocity;
Vector2 vB = bodyB._linearVelocity;
float wA = bodyA._angularVelocity;
float wB = bodyB._angularVelocity;
Debug.Assert(manifold._pointCount > 0);
WorldManifold worldManifold = new WorldManifold(ref manifold, ref bodyA._xf, radiusA, ref bodyB._xf, radiusB);
ContactConstraint cc = _constraints[i];
cc.bodyA = bodyA;
cc.bodyB = bodyB;
cc.manifold = manifold;
cc.normal = worldManifold._normal;
cc.pointCount = manifold._pointCount;
cc.friction = friction;
cc.localNormal = manifold._localNormal;
cc.localPoint = manifold._localPoint;
cc.radius = radiusA + radiusB;
cc.type = manifold._type;
for (int j = 0; j < cc.pointCount; ++j)
{
ManifoldPoint cp = manifold._points[j];
ContactConstraintPoint ccp = cc.points[j];
ccp.normalImpulse = impulseRatio * cp.NormalImpulse;
ccp.tangentImpulse = impulseRatio * cp.TangentImpulse;
ccp.localPoint = cp.LocalPoint;
ccp.rA = worldManifold._points[j] - bodyA._sweep.c;
ccp.rB = worldManifold._points[j] - bodyB._sweep.c;
#if MATH_OVERLOADS
float rnA = MathUtils.Cross(ccp.rA, cc.normal);
float rnB = MathUtils.Cross(ccp.rB, cc.normal);
#else
float rnA = ccp.rA.X * cc.normal.Y - ccp.rA.Y * cc.normal.X;
float rnB = ccp.rB.X * cc.normal.Y - ccp.rB.Y * cc.normal.X;
#endif
rnA *= rnA;
rnB *= rnB;
float kNormal = bodyA._invMass + bodyB._invMass + bodyA._invI * rnA + bodyB._invI * rnB;
Debug.Assert(kNormal > Settings.b2_epsilon);
ccp.normalMass = 1.0f / kNormal;
#if MATH_OVERLOADS
Vector2 tangent = MathUtils.Cross(cc.normal, 1.0f);
float rtA = MathUtils.Cross(ccp.rA, tangent);
float rtB = MathUtils.Cross(ccp.rB, tangent);
#else
Vector2 tangent = new Vector2(cc.normal.Y, -cc.normal.X);
float rtA = ccp.rA.X * tangent.Y - ccp.rA.Y * tangent.X;
float rtB = ccp.rB.X * tangent.Y - ccp.rB.Y * tangent.X;
#endif
rtA *= rtA;
rtB *= rtB;
float kTangent = bodyA._invMass + bodyB._invMass + bodyA._invI * rtA + bodyB._invI * rtB;
Debug.Assert(kTangent > Settings.b2_epsilon);
ccp.tangentMass = 1.0f / kTangent;
// Setup a velocity bias for restitution.
ccp.velocityBias = 0.0f;
float vRel = Vector2.Dot(cc.normal, vB + MathUtils.Cross(wB, ccp.rB) - vA - MathUtils.Cross(wA, ccp.rA));
if (vRel < -Settings.b2_velocityThreshold)
{
ccp.velocityBias = -restitution * vRel;
}
cc.points[j] = ccp;
}
// If we have two points, then prepare the block solver.
if (cc.pointCount == 2)
{
ContactConstraintPoint ccp1 = cc.points[0];
ContactConstraintPoint ccp2 = cc.points[1];
float invMassA = bodyA._invMass;
float invIA = bodyA._invI;
float invMassB = bodyB._invMass;
float invIB = bodyB._invI;
float rn1A = MathUtils.Cross(ccp1.rA, cc.normal);
float rn1B = MathUtils.Cross(ccp1.rB, cc.normal);
float rn2A = MathUtils.Cross(ccp2.rA, cc.normal);
float rn2B = MathUtils.Cross(ccp2.rB, cc.normal);
float k11 = invMassA + invMassB + invIA * rn1A * rn1A + invIB * rn1B * rn1B;
float k22 = invMassA + invMassB + invIA * rn2A * rn2A + invIB * rn2B * rn2B;
float k12 = invMassA + invMassB + invIA * rn1A * rn2A + invIB * rn1B * rn2B;
// Ensure a reasonable condition number.
const float k_maxConditionNumber = 100.0f;
if (k11 * k11 < k_maxConditionNumber * (k11 * k22 - k12 * k12))
{
// K is safe to invert.
cc.K = new Mat22(new Vector2(k11, k12), new Vector2(k12, k22));
cc.normalMass = cc.K.GetInverse();
}
else
{
// The constraints are redundant, just use one.
// TODO_ERIN use deepest?
cc.pointCount = 1;
}
}
_constraints[i] = cc;
}
}
