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authorchai <chaifix@163.com>2019-03-19 23:06:27 +0800
committerchai <chaifix@163.com>2019-03-19 23:06:27 +0800
commit1497dccd63a84b7ee2b229b1ad9c5c02718f2a78 (patch)
treef8d1bff50da13e126d08c7345653e002e293202d /Source/3rdParty/Box2D/Dynamics/Joints/b2WeldJoint.cpp
parent5e2a973516e0729b225da9de0b03015dc5854ac4 (diff)
*rename
Diffstat (limited to 'Source/3rdParty/Box2D/Dynamics/Joints/b2WeldJoint.cpp')
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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/b2WeldJoint.h"
-#include "Box2D/Dynamics/b2Body.h"
-#include "Box2D/Dynamics/b2TimeStep.h"
-
-// Point-to-point constraint
-// C = p2 - p1
-// 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
-// C = angle2 - angle1 - referenceAngle
-// Cdot = w2 - w1
-// J = [0 0 -1 0 0 1]
-// K = invI1 + invI2
-
-void b2WeldJointDef::Initialize(b2Body* bA, b2Body* bB, const b2Vec2& anchor)
-{
- bodyA = bA;
- bodyB = bB;
- localAnchorA = bodyA->GetLocalPoint(anchor);
- localAnchorB = bodyB->GetLocalPoint(anchor);
- referenceAngle = bodyB->GetAngle() - bodyA->GetAngle();
-}
-
-b2WeldJoint::b2WeldJoint(const b2WeldJointDef* def)
-: b2Joint(def)
-{
- m_localAnchorA = def->localAnchorA;
- m_localAnchorB = def->localAnchorB;
- m_referenceAngle = def->referenceAngle;
- m_frequencyHz = def->frequencyHz;
- m_dampingRatio = def->dampingRatio;
-
- m_impulse.SetZero();
-}
-
-void b2WeldJoint::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);
-
- 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;
-
- b2Mat33 K;
- K.ex.x = mA + mB + m_rA.y * m_rA.y * iA + m_rB.y * m_rB.y * iB;
- K.ey.x = -m_rA.y * m_rA.x * iA - m_rB.y * m_rB.x * iB;
- K.ez.x = -m_rA.y * iA - m_rB.y * iB;
- K.ex.y = K.ey.x;
- K.ey.y = mA + mB + m_rA.x * m_rA.x * iA + m_rB.x * m_rB.x * iB;
- K.ez.y = m_rA.x * iA + m_rB.x * iB;
- K.ex.z = K.ez.x;
- K.ey.z = K.ez.y;
- K.ez.z = iA + iB;
-
- if (m_frequencyHz > 0.0f)
- {
- K.GetInverse22(&m_mass);
-
- float32 invM = iA + iB;
- float32 m = invM > 0.0f ? 1.0f / invM : 0.0f;
-
- float32 C = aB - aA - m_referenceAngle;
-
- // Frequency
- float32 omega = 2.0f * b2_pi * m_frequencyHz;
-
- // Damping coefficient
- float32 d = 2.0f * m * m_dampingRatio * omega;
-
- // Spring stiffness
- float32 k = m * omega * omega;
-
- // magic formulas
- float32 h = data.step.dt;
- m_gamma = h * (d + h * k);
- m_gamma = m_gamma != 0.0f ? 1.0f / m_gamma : 0.0f;
- m_bias = C * h * k * m_gamma;
-
- invM += m_gamma;
- m_mass.ez.z = invM != 0.0f ? 1.0f / invM : 0.0f;
- }
- else if (K.ez.z == 0.0f)
- {
- K.GetInverse22(&m_mass);
- m_gamma = 0.0f;
- m_bias = 0.0f;
- }
- else
- {
- K.GetSymInverse33(&m_mass);
- m_gamma = 0.0f;
- m_bias = 0.0f;
- }
-
- if (data.step.warmStarting)
- {
- // Scale impulses to support a variable time step.
- m_impulse *= data.step.dtRatio;
-
- b2Vec2 P(m_impulse.x, m_impulse.y);
-
- vA -= mA * P;
- wA -= iA * (b2Cross(m_rA, P) + m_impulse.z);
-
- vB += mB * P;
- wB += iB * (b2Cross(m_rB, P) + m_impulse.z);
- }
- else
- {
- m_impulse.SetZero();
- }
-
- 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 b2WeldJoint::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;
-
- if (m_frequencyHz > 0.0f)
- {
- float32 Cdot2 = wB - wA;
-
- float32 impulse2 = -m_mass.ez.z * (Cdot2 + m_bias + m_gamma * m_impulse.z);
- m_impulse.z += impulse2;
-
- wA -= iA * impulse2;
- wB += iB * impulse2;
-
- b2Vec2 Cdot1 = vB + b2Cross(wB, m_rB) - vA - b2Cross(wA, m_rA);
-
- b2Vec2 impulse1 = -b2Mul22(m_mass, Cdot1);
- m_impulse.x += impulse1.x;
- m_impulse.y += impulse1.y;
-
- b2Vec2 P = impulse1;
-
- vA -= mA * P;
- wA -= iA * b2Cross(m_rA, P);
-
- vB += mB * P;
- wB += iB * b2Cross(m_rB, P);
- }
- else
- {
- 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 = -b2Mul(m_mass, Cdot);
- 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);
- }
-
- 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 b2WeldJoint::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;
-
- b2Rot qA(aA), qB(aB);
-
- float32 mA = m_invMassA, mB = m_invMassB;
- float32 iA = m_invIA, iB = m_invIB;
-
- b2Vec2 rA = b2Mul(qA, m_localAnchorA - m_localCenterA);
- b2Vec2 rB = b2Mul(qB, m_localAnchorB - m_localCenterB);
-
- float32 positionError, angularError;
-
- b2Mat33 K;
- K.ex.x = mA + mB + rA.y * rA.y * iA + rB.y * rB.y * iB;
- K.ey.x = -rA.y * rA.x * iA - rB.y * rB.x * iB;
- K.ez.x = -rA.y * iA - rB.y * iB;
- K.ex.y = K.ey.x;
- K.ey.y = mA + mB + rA.x * rA.x * iA + rB.x * rB.x * iB;
- K.ez.y = rA.x * iA + rB.x * iB;
- K.ex.z = K.ez.x;
- K.ey.z = K.ez.y;
- K.ez.z = iA + iB;
-
- if (m_frequencyHz > 0.0f)
- {
- b2Vec2 C1 = cB + rB - cA - rA;
-
- positionError = C1.Length();
- angularError = 0.0f;
-
- b2Vec2 P = -K.Solve22(C1);
-
- cA -= mA * P;
- aA -= iA * b2Cross(rA, P);
-
- cB += mB * P;
- aB += iB * b2Cross(rB, P);
- }
- else
- {
- b2Vec2 C1 = cB + rB - cA - rA;
- float32 C2 = aB - aA - m_referenceAngle;
-
- positionError = C1.Length();
- angularError = b2Abs(C2);
-
- b2Vec3 C(C1.x, C1.y, C2);
-
- b2Vec3 impulse;
- if (K.ez.z > 0.0f)
- {
- impulse = -K.Solve33(C);
- }
- else
- {
- b2Vec2 impulse2 = -K.Solve22(C1);
- impulse.Set(impulse2.x, impulse2.y, 0.0f);
- }
-
- b2Vec2 P(impulse.x, impulse.y);
-
- cA -= mA * P;
- aA -= iA * (b2Cross(rA, P) + impulse.z);
-
- cB += mB * P;
- aB += iB * (b2Cross(rB, P) + impulse.z);
- }
-
- data.positions[m_indexA].c = cA;
- data.positions[m_indexA].a = aA;
- data.positions[m_indexB].c = cB;
- data.positions[m_indexB].a = aB;
-
- return positionError <= b2_linearSlop && angularError <= b2_angularSlop;
-}
-
-b2Vec2 b2WeldJoint::GetAnchorA() const
-{
- return m_bodyA->GetWorldPoint(m_localAnchorA);
-}
-
-b2Vec2 b2WeldJoint::GetAnchorB() const
-{
- return m_bodyB->GetWorldPoint(m_localAnchorB);
-}
-
-b2Vec2 b2WeldJoint::GetReactionForce(float32 inv_dt) const
-{
- b2Vec2 P(m_impulse.x, m_impulse.y);
- return inv_dt * P;
-}
-
-float32 b2WeldJoint::GetReactionTorque(float32 inv_dt) const
-{
- return inv_dt * m_impulse.z;
-}
-
-void b2WeldJoint::Dump()
-{
- int32 indexA = m_bodyA->m_islandIndex;
- int32 indexB = m_bodyB->m_islandIndex;
-
- b2Log(" b2WeldJointDef 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.referenceAngle = %.15lef;\n", m_referenceAngle);
- b2Log(" jd.frequencyHz = %.15lef;\n", m_frequencyHz);
- b2Log(" jd.dampingRatio = %.15lef;\n", m_dampingRatio);
- b2Log(" joints[%d] = m_world->CreateJoint(&jd);\n", m_index);
-}