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diff --git a/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp b/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp
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+++ b/src/3rdparty/Box2D/Dynamics/Joints/b2GearJoint.cpp
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+/*
+* Copyright (c) 2007-2011 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/b2GearJoint.h"
+#include "Box2D/Dynamics/Joints/b2RevoluteJoint.h"
+#include "Box2D/Dynamics/Joints/b2PrismaticJoint.h"
+#include "Box2D/Dynamics/b2Body.h"
+#include "Box2D/Dynamics/b2TimeStep.h"
+
+// Gear Joint:
+// C0 = (coordinate1 + ratio * coordinate2)_initial
+// C = (coordinate1 + ratio * coordinate2) - C0 = 0
+// J = [J1 ratio * J2]
+// K = J * invM * JT
+// = J1 * invM1 * J1T + ratio * ratio * J2 * invM2 * J2T
+//
+// Revolute:
+// coordinate = rotation
+// Cdot = angularVelocity
+// J = [0 0 1]
+// K = J * invM * JT = invI
+//
+// Prismatic:
+// coordinate = dot(p - pg, ug)
+// Cdot = dot(v + cross(w, r), ug)
+// J = [ug cross(r, ug)]
+// K = J * invM * JT = invMass + invI * cross(r, ug)^2
+
+b2GearJoint::b2GearJoint(const b2GearJointDef* def)
+: b2Joint(def)
+{
+ m_joint1 = def->joint1;
+ m_joint2 = def->joint2;
+
+ m_typeA = m_joint1->GetType();
+ m_typeB = m_joint2->GetType();
+
+ b2Assert(m_typeA == e_revoluteJoint || m_typeA == e_prismaticJoint);
+ b2Assert(m_typeB == e_revoluteJoint || m_typeB == e_prismaticJoint);
+
+ float32 coordinateA, coordinateB;
+
+ // TODO_ERIN there might be some problem with the joint edges in b2Joint.
+
+ m_bodyC = m_joint1->GetBodyA();
+ m_bodyA = m_joint1->GetBodyB();
+
+ // Get geometry of joint1
+ b2Transform xfA = m_bodyA->m_xf;
+ float32 aA = m_bodyA->m_sweep.a;
+ b2Transform xfC = m_bodyC->m_xf;
+ float32 aC = m_bodyC->m_sweep.a;
+
+ if (m_typeA == e_revoluteJoint)
+ {
+ b2RevoluteJoint* revolute = (b2RevoluteJoint*)def->joint1;
+ m_localAnchorC = revolute->m_localAnchorA;
+ m_localAnchorA = revolute->m_localAnchorB;
+ m_referenceAngleA = revolute->m_referenceAngle;
+ m_localAxisC.SetZero();
+
+ coordinateA = aA - aC - m_referenceAngleA;
+ }
+ else
+ {
+ b2PrismaticJoint* prismatic = (b2PrismaticJoint*)def->joint1;
+ m_localAnchorC = prismatic->m_localAnchorA;
+ m_localAnchorA = prismatic->m_localAnchorB;
+ m_referenceAngleA = prismatic->m_referenceAngle;
+ m_localAxisC = prismatic->m_localXAxisA;
+
+ b2Vec2 pC = m_localAnchorC;
+ b2Vec2 pA = b2MulT(xfC.q, b2Mul(xfA.q, m_localAnchorA) + (xfA.p - xfC.p));
+ coordinateA = b2Dot(pA - pC, m_localAxisC);
+ }
+
+ m_bodyD = m_joint2->GetBodyA();
+ m_bodyB = m_joint2->GetBodyB();
+
+ // Get geometry of joint2
+ b2Transform xfB = m_bodyB->m_xf;
+ float32 aB = m_bodyB->m_sweep.a;
+ b2Transform xfD = m_bodyD->m_xf;
+ float32 aD = m_bodyD->m_sweep.a;
+
+ if (m_typeB == e_revoluteJoint)
+ {
+ b2RevoluteJoint* revolute = (b2RevoluteJoint*)def->joint2;
+ m_localAnchorD = revolute->m_localAnchorA;
+ m_localAnchorB = revolute->m_localAnchorB;
+ m_referenceAngleB = revolute->m_referenceAngle;
+ m_localAxisD.SetZero();
+
+ coordinateB = aB - aD - m_referenceAngleB;
+ }
+ else
+ {
+ b2PrismaticJoint* prismatic = (b2PrismaticJoint*)def->joint2;
+ m_localAnchorD = prismatic->m_localAnchorA;
+ m_localAnchorB = prismatic->m_localAnchorB;
+ m_referenceAngleB = prismatic->m_referenceAngle;
+ m_localAxisD = prismatic->m_localXAxisA;
+
+ b2Vec2 pD = m_localAnchorD;
+ b2Vec2 pB = b2MulT(xfD.q, b2Mul(xfB.q, m_localAnchorB) + (xfB.p - xfD.p));
+ coordinateB = b2Dot(pB - pD, m_localAxisD);
+ }
+
+ m_ratio = def->ratio;
+
+ m_constant = coordinateA + m_ratio * coordinateB;
+
+ m_impulse = 0.0f;
+}
+
+void b2GearJoint::InitVelocityConstraints(const b2SolverData& data)
+{
+ m_indexA = m_bodyA->m_islandIndex;
+ m_indexB = m_bodyB->m_islandIndex;
+ m_indexC = m_bodyC->m_islandIndex;
+ m_indexD = m_bodyD->m_islandIndex;
+ m_lcA = m_bodyA->m_sweep.localCenter;
+ m_lcB = m_bodyB->m_sweep.localCenter;
+ m_lcC = m_bodyC->m_sweep.localCenter;
+ m_lcD = m_bodyD->m_sweep.localCenter;
+ m_mA = m_bodyA->m_invMass;
+ m_mB = m_bodyB->m_invMass;
+ m_mC = m_bodyC->m_invMass;
+ m_mD = m_bodyD->m_invMass;
+ m_iA = m_bodyA->m_invI;
+ m_iB = m_bodyB->m_invI;
+ m_iC = m_bodyC->m_invI;
+ m_iD = m_bodyD->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;
+
+ float32 aC = data.positions[m_indexC].a;
+ b2Vec2 vC = data.velocities[m_indexC].v;
+ float32 wC = data.velocities[m_indexC].w;
+
+ float32 aD = data.positions[m_indexD].a;
+ b2Vec2 vD = data.velocities[m_indexD].v;
+ float32 wD = data.velocities[m_indexD].w;
+
+ b2Rot qA(aA), qB(aB), qC(aC), qD(aD);
+
+ m_mass = 0.0f;
+
+ if (m_typeA == e_revoluteJoint)
+ {
+ m_JvAC.SetZero();
+ m_JwA = 1.0f;
+ m_JwC = 1.0f;
+ m_mass += m_iA + m_iC;
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qC, m_localAxisC);
+ b2Vec2 rC = b2Mul(qC, m_localAnchorC - m_lcC);
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_lcA);
+ m_JvAC = u;
+ m_JwC = b2Cross(rC, u);
+ m_JwA = b2Cross(rA, u);
+ m_mass += m_mC + m_mA + m_iC * m_JwC * m_JwC + m_iA * m_JwA * m_JwA;
+ }
+
+ if (m_typeB == e_revoluteJoint)
+ {
+ m_JvBD.SetZero();
+ m_JwB = m_ratio;
+ m_JwD = m_ratio;
+ m_mass += m_ratio * m_ratio * (m_iB + m_iD);
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qD, m_localAxisD);
+ b2Vec2 rD = b2Mul(qD, m_localAnchorD - m_lcD);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_lcB);
+ m_JvBD = m_ratio * u;
+ m_JwD = m_ratio * b2Cross(rD, u);
+ m_JwB = m_ratio * b2Cross(rB, u);
+ m_mass += m_ratio * m_ratio * (m_mD + m_mB) + m_iD * m_JwD * m_JwD + m_iB * m_JwB * m_JwB;
+ }
+
+ // Compute effective mass.
+ m_mass = m_mass > 0.0f ? 1.0f / m_mass : 0.0f;
+
+ if (data.step.warmStarting)
+ {
+ vA += (m_mA * m_impulse) * m_JvAC;
+ wA += m_iA * m_impulse * m_JwA;
+ vB += (m_mB * m_impulse) * m_JvBD;
+ wB += m_iB * m_impulse * m_JwB;
+ vC -= (m_mC * m_impulse) * m_JvAC;
+ wC -= m_iC * m_impulse * m_JwC;
+ vD -= (m_mD * m_impulse) * m_JvBD;
+ wD -= m_iD * m_impulse * m_JwD;
+ }
+ else
+ {
+ m_impulse = 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;
+ data.velocities[m_indexC].v = vC;
+ data.velocities[m_indexC].w = wC;
+ data.velocities[m_indexD].v = vD;
+ data.velocities[m_indexD].w = wD;
+}
+
+void b2GearJoint::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;
+ b2Vec2 vC = data.velocities[m_indexC].v;
+ float32 wC = data.velocities[m_indexC].w;
+ b2Vec2 vD = data.velocities[m_indexD].v;
+ float32 wD = data.velocities[m_indexD].w;
+
+ float32 Cdot = b2Dot(m_JvAC, vA - vC) + b2Dot(m_JvBD, vB - vD);
+ Cdot += (m_JwA * wA - m_JwC * wC) + (m_JwB * wB - m_JwD * wD);
+
+ float32 impulse = -m_mass * Cdot;
+ m_impulse += impulse;
+
+ vA += (m_mA * impulse) * m_JvAC;
+ wA += m_iA * impulse * m_JwA;
+ vB += (m_mB * impulse) * m_JvBD;
+ wB += m_iB * impulse * m_JwB;
+ vC -= (m_mC * impulse) * m_JvAC;
+ wC -= m_iC * impulse * m_JwC;
+ vD -= (m_mD * impulse) * m_JvBD;
+ wD -= m_iD * impulse * m_JwD;
+
+ data.velocities[m_indexA].v = vA;
+ data.velocities[m_indexA].w = wA;
+ data.velocities[m_indexB].v = vB;
+ data.velocities[m_indexB].w = wB;
+ data.velocities[m_indexC].v = vC;
+ data.velocities[m_indexC].w = wC;
+ data.velocities[m_indexD].v = vD;
+ data.velocities[m_indexD].w = wD;
+}
+
+bool b2GearJoint::SolvePositionConstraints(const b2SolverData& data)
+{
+ b2Vec2 cA = data.positions[m_indexA].c;
+ float32 aA = data.positions[m_indexA].a;
+ b2Vec2 cB = data.positions[m_indexB].c;
+ float32 aB = data.positions[m_indexB].a;
+ b2Vec2 cC = data.positions[m_indexC].c;
+ float32 aC = data.positions[m_indexC].a;
+ b2Vec2 cD = data.positions[m_indexD].c;
+ float32 aD = data.positions[m_indexD].a;
+
+ b2Rot qA(aA), qB(aB), qC(aC), qD(aD);
+
+ float32 linearError = 0.0f;
+
+ float32 coordinateA, coordinateB;
+
+ b2Vec2 JvAC, JvBD;
+ float32 JwA, JwB, JwC, JwD;
+ float32 mass = 0.0f;
+
+ if (m_typeA == e_revoluteJoint)
+ {
+ JvAC.SetZero();
+ JwA = 1.0f;
+ JwC = 1.0f;
+ mass += m_iA + m_iC;
+
+ coordinateA = aA - aC - m_referenceAngleA;
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qC, m_localAxisC);
+ b2Vec2 rC = b2Mul(qC, m_localAnchorC - m_lcC);
+ b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_lcA);
+ JvAC = u;
+ JwC = b2Cross(rC, u);
+ JwA = b2Cross(rA, u);
+ mass += m_mC + m_mA + m_iC * JwC * JwC + m_iA * JwA * JwA;
+
+ b2Vec2 pC = m_localAnchorC - m_lcC;
+ b2Vec2 pA = b2MulT(qC, rA + (cA - cC));
+ coordinateA = b2Dot(pA - pC, m_localAxisC);
+ }
+
+ if (m_typeB == e_revoluteJoint)
+ {
+ JvBD.SetZero();
+ JwB = m_ratio;
+ JwD = m_ratio;
+ mass += m_ratio * m_ratio * (m_iB + m_iD);
+
+ coordinateB = aB - aD - m_referenceAngleB;
+ }
+ else
+ {
+ b2Vec2 u = b2Mul(qD, m_localAxisD);
+ b2Vec2 rD = b2Mul(qD, m_localAnchorD - m_lcD);
+ b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_lcB);
+ JvBD = m_ratio * u;
+ JwD = m_ratio * b2Cross(rD, u);
+ JwB = m_ratio * b2Cross(rB, u);
+ mass += m_ratio * m_ratio * (m_mD + m_mB) + m_iD * JwD * JwD + m_iB * JwB * JwB;
+
+ b2Vec2 pD = m_localAnchorD - m_lcD;
+ b2Vec2 pB = b2MulT(qD, rB + (cB - cD));
+ coordinateB = b2Dot(pB - pD, m_localAxisD);
+ }
+
+ float32 C = (coordinateA + m_ratio * coordinateB) - m_constant;
+
+ float32 impulse = 0.0f;
+ if (mass > 0.0f)
+ {
+ impulse = -C / mass;
+ }
+
+ cA += m_mA * impulse * JvAC;
+ aA += m_iA * impulse * JwA;
+ cB += m_mB * impulse * JvBD;
+ aB += m_iB * impulse * JwB;
+ cC -= m_mC * impulse * JvAC;
+ aC -= m_iC * impulse * JwC;
+ cD -= m_mD * impulse * JvBD;
+ aD -= m_iD * impulse * JwD;
+
+ data.positions[m_indexA].c = cA;
+ data.positions[m_indexA].a = aA;
+ data.positions[m_indexB].c = cB;
+ data.positions[m_indexB].a = aB;
+ data.positions[m_indexC].c = cC;
+ data.positions[m_indexC].a = aC;
+ data.positions[m_indexD].c = cD;
+ data.positions[m_indexD].a = aD;
+
+ // TODO_ERIN not implemented
+ return linearError < b2_linearSlop;
+}
+
+b2Vec2 b2GearJoint::GetAnchorA() const
+{
+ return m_bodyA->GetWorldPoint(m_localAnchorA);
+}
+
+b2Vec2 b2GearJoint::GetAnchorB() const
+{
+ return m_bodyB->GetWorldPoint(m_localAnchorB);
+}
+
+b2Vec2 b2GearJoint::GetReactionForce(float32 inv_dt) const
+{
+ b2Vec2 P = m_impulse * m_JvAC;
+ return inv_dt * P;
+}
+
+float32 b2GearJoint::GetReactionTorque(float32 inv_dt) const
+{
+ float32 L = m_impulse * m_JwA;
+ return inv_dt * L;
+}
+
+void b2GearJoint::SetRatio(float32 ratio)
+{
+ b2Assert(b2IsValid(ratio));
+ m_ratio = ratio;
+}
+
+float32 b2GearJoint::GetRatio() const
+{
+ return m_ratio;
+}
+
+void b2GearJoint::Dump()
+{
+ int32 indexA = m_bodyA->m_islandIndex;
+ int32 indexB = m_bodyB->m_islandIndex;
+
+ int32 index1 = m_joint1->m_index;
+ int32 index2 = m_joint2->m_index;
+
+ b2Log(" b2GearJointDef 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.joint1 = joints[%d];\n", index1);
+ b2Log(" jd.joint2 = joints[%d];\n", index2);
+ b2Log(" jd.ratio = %.15lef;\n", m_ratio);
+ b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
+}