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+/*
+* Copyright (c) 2006-2011 Erin Catto http://www.box2d.org
+*
+* This software is provided 'as-is', without any express or implied
+* warranty. In no event will the authors be held liable for any damages
+* arising from the use of this software.
+* Permission is granted to anyone to use this software for any purpose,
+* including commercial applications, and to alter it and redistribute it
+* freely, subject to the following restrictions:
+* 1. The origin of this software must not be misrepresented; you must not
+* claim that you wrote the original software. If you use this software
+* in a product, an acknowledgment in the product documentation would be
+* appreciated but is not required.
+* 2. Altered source versions must be plainly marked as such, and must not be
+* misrepresented as being the original software.
+* 3. This notice may not be removed or altered from any source distribution.
+*/
+
+#include "Box2D/Dynamics/Joints/b2FrictionJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Point-to-point constraint
+// Cdot = v2 - v1
+// = v2 + cross(w2, r2) - v1 - cross(w1, r1)
+// J = [-I -r1_skew I r2_skew ]
+// Identity used:
+// w k % (rx i + ry j) = w * (-ry i + rx j)
+
+// Angle constraint
+// Cdot = w2 - w1
+// J = [0 0 -1 0 0 1]
+// K = invI1 + invI2
+
+void b2FrictionJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor)
+{
+ bodyA = bA;
+ bodyB = bB;
+ localAnchorA = bodyA->GetLocalPoint(anchor);
+ localAnchorB = bodyB->GetLocalPoint(anchor);
+}
+
+b2FrictionJoint::b2FrictionJoint(const b2FrictionJointDef* def)
+: b2Joint(def)
+{
+ m_localAnchorA = def->localAnchorA;
+ m_localAnchorB = def->localAnchorB;
+
+ m_linearImpulse.SetZero();
+ m_angularImpulse = 0.0f;
+
+ m_maxForce = def->maxForce;
+ m_maxTorque = def->maxTorque;
+}
+
+void b2FrictionJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_localCenterA = m_bodyA->m_sweep.localCenter;
+ m_localCenterB = m_bodyB->m_sweep.localCenter;
+ m_invMassA = m_bodyA->m_invMass;
+ m_invMassB = m_bodyB->m_invMass;
+ m_invIA = m_bodyA->m_invI;
+ m_invIB = m_bodyB->m_invI;
+
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 vA = data.velocities[m_indexA].v;
+ float32 wA = data.velocities[m_indexA].w;
+
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 vB = data.velocities[m_indexB].v;
+ float32 wB = data.velocities[m_indexB].w;
+
+ b2Rot qA(aA), qB(aB);
+
+ // Compute the effective mass matrix.
+ m_rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
+ m_rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
+
+ // J = [-I -r1_skew I r2_skew]
+ // [ 0 -1 0 1]
+ // r_skew = [-ry; rx]
+
+ // Matlab
+ // K = [ mA+r1y^2*iA+mB+r2y^2*iB, -r1y*iA*r1x-r2y*iB*r2x, -r1y*iA-r2y*iB]
+ // [ -r1y*iA*r1x-r2y*iB*r2x, mA+r1x^2*iA+mB+r2x^2*iB, r1x*iA+r2x*iB]
+ // [ -r1y*iA-r2y*iB, r1x*iA+r2x*iB, iA+iB]
+
+ float32 mA = m_invMassA, mB = m_invMassB;
+ float32 iA = m_invIA, iB = m_invIB;
+
+ b2Mat22 K;
+ K.ex.x = mA + mB + iA * m_rA.y * m_rA.y + iB * m_rB.y * m_rB.y;
+ K.ex.y = -iA * m_rA.x * m_rA.y - iB * m_rB.x * m_rB.y;
+ K.ey.x = K.ex.y;
+ K.ey.y = mA + mB + iA * m_rA.x * m_rA.x + iB * m_rB.x * m_rB.x;
+
+ m_linearMass = K.GetInverse();
+
+ m_angularMass = iA + iB;
+ if (m_angularMass > 0.0f)
+ {
+ m_angularMass = 1.0f / m_angularMass;
+ }
+
+ if (data.step.warmStarting)
+ {
+ // Scale impulses to support a variable time step.
+ m_linearImpulse *= data.step.dtRatio;
+ m_angularImpulse *= data.step.dtRatio;
+
+ b2Vec2 P(m_linearImpulse.x, m_linearImpulse.y);
+ vA -= mA * P;
+ wA -= iA * (b2Cross(m_rA, P) + m_angularImpulse);
+ vB += mB * P;
+ wB += iB * (b2Cross(m_rB, P) + m_angularImpulse);
+ }
+ else
+ {
+ m_linearImpulse.SetZero();
+ m_angularImpulse = 0.0f;
+ }
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+}
+
+void b2FrictionJoint::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;
+
+ float32 h = data.step.dt;
+
+ // Solve angular friction
+ {
+ float32 Cdot = wB - wA;
+ float32 impulse = -m_angularMass * Cdot;
+
+ float32 oldImpulse = m_angularImpulse;
+ float32 maxImpulse = h * m_maxTorque;
+ m_angularImpulse = b2Clamp(m_angularImpulse + impulse, -maxImpulse, maxImpulse);
+ impulse = m_angularImpulse - oldImpulse;
+
+ wA -= iA * impulse;
+ wB += iB * impulse;
+ }
+
+ // Solve linear friction
+ {
+ b2Vec2 Cdot = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
+
+ b2Vec2 impulse = -b2Mul(m_linearMass, Cdot);
+ b2Vec2 oldImpulse = m_linearImpulse;
+ m_linearImpulse += impulse;
+
+ float32 maxImpulse = h * m_maxForce;
+
+ if (m_linearImpulse.LengthSquared() > maxImpulse * maxImpulse)
+ {
+ m_linearImpulse.Normalize();
+ m_linearImpulse *= maxImpulse;
+ }
+
+ impulse = m_linearImpulse - oldImpulse;
+
+ 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;
+}
+
+bool b2FrictionJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ B2_NOT_USED(data);
+
+ return true;
+}
+
+b2Vec2 b2FrictionJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2FrictionJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2FrictionJoint::GetReactionForce(float32 inv_dt) const
+{
+ return inv_dt * m_linearImpulse;
+}
+
+float32 b2FrictionJoint::GetReactionTorque(float32 inv_dt) const
+{
+ return inv_dt * m_angularImpulse;
+}
+
+void b2FrictionJoint::SetMaxForce(float32 force)
+{
+ b2Assert(b2IsValid(force) && force >= 0.0f);
+ m_maxForce = force;
+}
+
+float32 b2FrictionJoint::GetMaxForce() const
+{
+ return m_maxForce;
+}
+
+void b2FrictionJoint::SetMaxTorque(float32 torque)
+{
+ b2Assert(b2IsValid(torque) && torque >= 0.0f);
+ m_maxTorque = torque;
+}
+
+float32 b2FrictionJoint::GetMaxTorque() const
+{
+ return m_maxTorque;
+}
+
+void b2FrictionJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ b2Log(" b2FrictionJointDef jd;\n");
+ b2Log(" jd.bodyA = bodies[%d];\n", indexA);
+ b2Log(" jd.bodyB = bodies[%d];\n", indexB);
+ b2Log(" jd.collideConnected = bool(%d);\n", m_collideConnected);
+ b2Log(" jd.localAnchorA.Set(%.15lef, %.15lef);\n", m_localAnchorA.x, m_localAnchorA.y);
+ b2Log(" jd.localAnchorB.Set(%.15lef, %.15lef);\n", m_localAnchorB.x, m_localAnchorB.y);
+ b2Log(" jd.maxForce = %.15lef;\n", m_maxForce);
+ b2Log(" jd.maxTorque = %.15lef;\n", m_maxTorque);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}