[1963] | 1 | /* |
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| 2 | Bullet Continuous Collision Detection and Physics Library |
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| 3 | btConeTwistConstraint is Copyright (c) 2007 Starbreeze Studios |
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| 4 | |
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| 5 | This software is provided 'as-is', without any express or implied warranty. |
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| 6 | In no event will the authors be held liable for any damages arising from the use of this software. |
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| 7 | Permission is granted to anyone to use this software for any purpose, |
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| 8 | including commercial applications, and to alter it and redistribute it freely, |
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| 9 | subject to the following restrictions: |
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| 10 | |
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| 11 | 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. |
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| 12 | 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. |
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| 13 | 3. This notice may not be removed or altered from any source distribution. |
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| 14 | |
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| 15 | Written by: Marcus Hennix |
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| 16 | */ |
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| 17 | |
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| 18 | |
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| 19 | #include "btConeTwistConstraint.h" |
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| 20 | #include "BulletDynamics/Dynamics/btRigidBody.h" |
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| 21 | #include "LinearMath/btTransformUtil.h" |
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| 22 | #include "LinearMath/btMinMax.h" |
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| 23 | #include <new> |
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| 24 | |
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| 25 | btConeTwistConstraint::btConeTwistConstraint() |
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| 26 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE) |
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| 27 | { |
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| 28 | } |
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| 29 | |
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| 30 | |
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| 31 | btConeTwistConstraint::btConeTwistConstraint(btRigidBody& rbA,btRigidBody& rbB, |
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| 32 | const btTransform& rbAFrame,const btTransform& rbBFrame) |
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| 33 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE, rbA,rbB),m_rbAFrame(rbAFrame),m_rbBFrame(rbBFrame), |
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| 34 | m_angularOnly(false) |
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| 35 | { |
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| 36 | m_swingSpan1 = btScalar(1e30); |
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| 37 | m_swingSpan2 = btScalar(1e30); |
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| 38 | m_twistSpan = btScalar(1e30); |
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| 39 | m_biasFactor = 0.3f; |
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| 40 | m_relaxationFactor = 1.0f; |
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| 41 | |
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| 42 | m_solveTwistLimit = false; |
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| 43 | m_solveSwingLimit = false; |
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| 44 | |
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| 45 | } |
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| 46 | |
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| 47 | btConeTwistConstraint::btConeTwistConstraint(btRigidBody& rbA,const btTransform& rbAFrame) |
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| 48 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE,rbA),m_rbAFrame(rbAFrame), |
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| 49 | m_angularOnly(false) |
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| 50 | { |
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| 51 | m_rbBFrame = m_rbAFrame; |
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| 52 | |
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| 53 | m_swingSpan1 = btScalar(1e30); |
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| 54 | m_swingSpan2 = btScalar(1e30); |
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| 55 | m_twistSpan = btScalar(1e30); |
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| 56 | m_biasFactor = 0.3f; |
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| 57 | m_relaxationFactor = 1.0f; |
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| 58 | |
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| 59 | m_solveTwistLimit = false; |
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| 60 | m_solveSwingLimit = false; |
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| 61 | |
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| 62 | } |
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| 63 | |
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| 64 | void btConeTwistConstraint::buildJacobian() |
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| 65 | { |
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| 66 | m_appliedImpulse = btScalar(0.); |
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| 67 | |
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| 68 | //set bias, sign, clear accumulator |
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| 69 | m_swingCorrection = btScalar(0.); |
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| 70 | m_twistLimitSign = btScalar(0.); |
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| 71 | m_solveTwistLimit = false; |
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| 72 | m_solveSwingLimit = false; |
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| 73 | m_accTwistLimitImpulse = btScalar(0.); |
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| 74 | m_accSwingLimitImpulse = btScalar(0.); |
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| 75 | |
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| 76 | if (!m_angularOnly) |
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| 77 | { |
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| 78 | btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin(); |
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| 79 | btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin(); |
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| 80 | btVector3 relPos = pivotBInW - pivotAInW; |
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| 81 | |
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| 82 | btVector3 normal[3]; |
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| 83 | if (relPos.length2() > SIMD_EPSILON) |
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| 84 | { |
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| 85 | normal[0] = relPos.normalized(); |
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| 86 | } |
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| 87 | else |
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| 88 | { |
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| 89 | normal[0].setValue(btScalar(1.0),0,0); |
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| 90 | } |
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| 91 | |
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| 92 | btPlaneSpace1(normal[0], normal[1], normal[2]); |
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| 93 | |
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| 94 | for (int i=0;i<3;i++) |
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| 95 | { |
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| 96 | new (&m_jac[i]) btJacobianEntry( |
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| 97 | m_rbA.getCenterOfMassTransform().getBasis().transpose(), |
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| 98 | m_rbB.getCenterOfMassTransform().getBasis().transpose(), |
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| 99 | pivotAInW - m_rbA.getCenterOfMassPosition(), |
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| 100 | pivotBInW - m_rbB.getCenterOfMassPosition(), |
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| 101 | normal[i], |
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| 102 | m_rbA.getInvInertiaDiagLocal(), |
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| 103 | m_rbA.getInvMass(), |
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| 104 | m_rbB.getInvInertiaDiagLocal(), |
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| 105 | m_rbB.getInvMass()); |
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| 106 | } |
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| 107 | } |
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| 108 | |
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| 109 | btVector3 b1Axis1,b1Axis2,b1Axis3; |
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| 110 | btVector3 b2Axis1,b2Axis2; |
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| 111 | |
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| 112 | b1Axis1 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(0); |
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| 113 | b2Axis1 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(0); |
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| 114 | |
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| 115 | btScalar swing1=btScalar(0.),swing2 = btScalar(0.); |
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| 116 | |
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| 117 | btScalar swx=btScalar(0.),swy = btScalar(0.); |
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| 118 | btScalar thresh = btScalar(10.); |
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| 119 | btScalar fact; |
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| 120 | |
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| 121 | // Get Frame into world space |
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| 122 | if (m_swingSpan1 >= btScalar(0.05f)) |
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| 123 | { |
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| 124 | b1Axis2 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(1); |
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| 125 | // swing1 = btAtan2Fast( b2Axis1.dot(b1Axis2),b2Axis1.dot(b1Axis1) ); |
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| 126 | swx = b2Axis1.dot(b1Axis1); |
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| 127 | swy = b2Axis1.dot(b1Axis2); |
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| 128 | swing1 = btAtan2Fast(swy, swx); |
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| 129 | fact = (swy*swy + swx*swx) * thresh * thresh; |
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| 130 | fact = fact / (fact + btScalar(1.0)); |
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| 131 | swing1 *= fact; |
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| 132 | |
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| 133 | } |
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| 134 | |
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| 135 | if (m_swingSpan2 >= btScalar(0.05f)) |
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| 136 | { |
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| 137 | b1Axis3 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(2); |
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| 138 | // swing2 = btAtan2Fast( b2Axis1.dot(b1Axis3),b2Axis1.dot(b1Axis1) ); |
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| 139 | swx = b2Axis1.dot(b1Axis1); |
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| 140 | swy = b2Axis1.dot(b1Axis3); |
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| 141 | swing2 = btAtan2Fast(swy, swx); |
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| 142 | fact = (swy*swy + swx*swx) * thresh * thresh; |
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| 143 | fact = fact / (fact + btScalar(1.0)); |
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| 144 | swing2 *= fact; |
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| 145 | } |
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| 146 | |
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| 147 | btScalar RMaxAngle1Sq = 1.0f / (m_swingSpan1*m_swingSpan1); |
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| 148 | btScalar RMaxAngle2Sq = 1.0f / (m_swingSpan2*m_swingSpan2); |
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| 149 | btScalar EllipseAngle = btFabs(swing1*swing1)* RMaxAngle1Sq + btFabs(swing2*swing2) * RMaxAngle2Sq; |
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| 150 | |
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| 151 | if (EllipseAngle > 1.0f) |
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| 152 | { |
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| 153 | m_swingCorrection = EllipseAngle-1.0f; |
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| 154 | m_solveSwingLimit = true; |
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| 155 | |
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| 156 | // Calculate necessary axis & factors |
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| 157 | m_swingAxis = b2Axis1.cross(b1Axis2* b2Axis1.dot(b1Axis2) + b1Axis3* b2Axis1.dot(b1Axis3)); |
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| 158 | m_swingAxis.normalize(); |
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| 159 | |
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| 160 | btScalar swingAxisSign = (b2Axis1.dot(b1Axis1) >= 0.0f) ? 1.0f : -1.0f; |
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| 161 | m_swingAxis *= swingAxisSign; |
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| 162 | |
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| 163 | m_kSwing = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_swingAxis) + |
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| 164 | getRigidBodyB().computeAngularImpulseDenominator(m_swingAxis)); |
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| 165 | |
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| 166 | } |
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| 167 | |
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| 168 | // Twist limits |
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| 169 | if (m_twistSpan >= btScalar(0.)) |
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| 170 | { |
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| 171 | btVector3 b2Axis2 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(1); |
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| 172 | btQuaternion rotationArc = shortestArcQuat(b2Axis1,b1Axis1); |
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| 173 | btVector3 TwistRef = quatRotate(rotationArc,b2Axis2); |
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| 174 | btScalar twist = btAtan2Fast( TwistRef.dot(b1Axis3), TwistRef.dot(b1Axis2) ); |
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| 175 | |
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| 176 | btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? m_limitSoftness : btScalar(0.); |
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| 177 | if (twist <= -m_twistSpan*lockedFreeFactor) |
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| 178 | { |
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| 179 | m_twistCorrection = -(twist + m_twistSpan); |
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| 180 | m_solveTwistLimit = true; |
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| 181 | |
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| 182 | m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f; |
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| 183 | m_twistAxis.normalize(); |
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| 184 | m_twistAxis *= -1.0f; |
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| 185 | |
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| 186 | m_kTwist = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_twistAxis) + |
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| 187 | getRigidBodyB().computeAngularImpulseDenominator(m_twistAxis)); |
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| 188 | |
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| 189 | } else |
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| 190 | if (twist > m_twistSpan*lockedFreeFactor) |
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| 191 | { |
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| 192 | m_twistCorrection = (twist - m_twistSpan); |
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| 193 | m_solveTwistLimit = true; |
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| 194 | |
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| 195 | m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f; |
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| 196 | m_twistAxis.normalize(); |
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| 197 | |
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| 198 | m_kTwist = btScalar(1.) / (getRigidBodyA().computeAngularImpulseDenominator(m_twistAxis) + |
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| 199 | getRigidBodyB().computeAngularImpulseDenominator(m_twistAxis)); |
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| 200 | |
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| 201 | } |
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| 202 | } |
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| 203 | } |
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| 204 | |
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| 205 | void btConeTwistConstraint::solveConstraint(btScalar timeStep) |
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| 206 | { |
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| 207 | |
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| 208 | btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin(); |
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| 209 | btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin(); |
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| 210 | |
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| 211 | btScalar tau = btScalar(0.3); |
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| 212 | |
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| 213 | //linear part |
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| 214 | if (!m_angularOnly) |
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| 215 | { |
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| 216 | btVector3 rel_pos1 = pivotAInW - m_rbA.getCenterOfMassPosition(); |
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| 217 | btVector3 rel_pos2 = pivotBInW - m_rbB.getCenterOfMassPosition(); |
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| 218 | |
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| 219 | btVector3 vel1 = m_rbA.getVelocityInLocalPoint(rel_pos1); |
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| 220 | btVector3 vel2 = m_rbB.getVelocityInLocalPoint(rel_pos2); |
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| 221 | btVector3 vel = vel1 - vel2; |
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| 222 | |
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| 223 | for (int i=0;i<3;i++) |
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| 224 | { |
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| 225 | const btVector3& normal = m_jac[i].m_linearJointAxis; |
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| 226 | btScalar jacDiagABInv = btScalar(1.) / m_jac[i].getDiagonal(); |
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| 227 | |
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| 228 | btScalar rel_vel; |
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| 229 | rel_vel = normal.dot(vel); |
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| 230 | //positional error (zeroth order error) |
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| 231 | btScalar depth = -(pivotAInW - pivotBInW).dot(normal); //this is the error projected on the normal |
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| 232 | btScalar impulse = depth*tau/timeStep * jacDiagABInv - rel_vel * jacDiagABInv; |
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| 233 | m_appliedImpulse += impulse; |
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| 234 | btVector3 impulse_vector = normal * impulse; |
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| 235 | m_rbA.applyImpulse(impulse_vector, pivotAInW - m_rbA.getCenterOfMassPosition()); |
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| 236 | m_rbB.applyImpulse(-impulse_vector, pivotBInW - m_rbB.getCenterOfMassPosition()); |
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| 237 | } |
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| 238 | } |
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| 239 | |
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| 240 | { |
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| 241 | ///solve angular part |
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| 242 | const btVector3& angVelA = getRigidBodyA().getAngularVelocity(); |
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| 243 | const btVector3& angVelB = getRigidBodyB().getAngularVelocity(); |
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| 244 | |
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| 245 | // solve swing limit |
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| 246 | if (m_solveSwingLimit) |
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| 247 | { |
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| 248 | btScalar amplitude = ((angVelB - angVelA).dot( m_swingAxis )*m_relaxationFactor*m_relaxationFactor + m_swingCorrection*(btScalar(1.)/timeStep)*m_biasFactor); |
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| 249 | btScalar impulseMag = amplitude * m_kSwing; |
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| 250 | |
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| 251 | // Clamp the accumulated impulse |
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| 252 | btScalar temp = m_accSwingLimitImpulse; |
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| 253 | m_accSwingLimitImpulse = btMax(m_accSwingLimitImpulse + impulseMag, btScalar(0.0) ); |
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| 254 | impulseMag = m_accSwingLimitImpulse - temp; |
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| 255 | |
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| 256 | btVector3 impulse = m_swingAxis * impulseMag; |
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| 257 | |
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| 258 | m_rbA.applyTorqueImpulse(impulse); |
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| 259 | m_rbB.applyTorqueImpulse(-impulse); |
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| 260 | |
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| 261 | } |
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| 262 | |
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| 263 | // solve twist limit |
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| 264 | if (m_solveTwistLimit) |
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| 265 | { |
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| 266 | btScalar amplitude = ((angVelB - angVelA).dot( m_twistAxis )*m_relaxationFactor*m_relaxationFactor + m_twistCorrection*(btScalar(1.)/timeStep)*m_biasFactor ); |
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| 267 | btScalar impulseMag = amplitude * m_kTwist; |
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| 268 | |
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| 269 | // Clamp the accumulated impulse |
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| 270 | btScalar temp = m_accTwistLimitImpulse; |
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| 271 | m_accTwistLimitImpulse = btMax(m_accTwistLimitImpulse + impulseMag, btScalar(0.0) ); |
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| 272 | impulseMag = m_accTwistLimitImpulse - temp; |
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| 273 | |
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| 274 | btVector3 impulse = m_twistAxis * impulseMag; |
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| 275 | |
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| 276 | m_rbA.applyTorqueImpulse(impulse); |
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| 277 | m_rbB.applyTorqueImpulse(-impulse); |
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| 278 | |
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| 279 | } |
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| 280 | |
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| 281 | } |
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| 282 | |
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| 283 | } |
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| 284 | |
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| 285 | void btConeTwistConstraint::updateRHS(btScalar timeStep) |
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| 286 | { |
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| 287 | (void)timeStep; |
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| 288 | |
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| 289 | } |
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