[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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[2882] | 25 | |
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[8284] | 26 | |
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| 27 | //#define CONETWIST_USE_OBSOLETE_SOLVER true |
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[2882] | 28 | #define CONETWIST_USE_OBSOLETE_SOLVER false |
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| 29 | #define CONETWIST_DEF_FIX_THRESH btScalar(.05f) |
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| 30 | |
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| 31 | |
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[8284] | 32 | SIMD_FORCE_INLINE btScalar computeAngularImpulseDenominator(const btVector3& axis, const btMatrix3x3& invInertiaWorld) |
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[1963] | 33 | { |
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[8284] | 34 | btVector3 vec = axis * invInertiaWorld; |
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| 35 | return axis.dot(vec); |
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[1963] | 36 | } |
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| 37 | |
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| 38 | |
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[8284] | 39 | |
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| 40 | |
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[1963] | 41 | btConeTwistConstraint::btConeTwistConstraint(btRigidBody& rbA,btRigidBody& rbB, |
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| 42 | const btTransform& rbAFrame,const btTransform& rbBFrame) |
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| 43 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE, rbA,rbB),m_rbAFrame(rbAFrame),m_rbBFrame(rbBFrame), |
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[2882] | 44 | m_angularOnly(false), |
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| 45 | m_useSolveConstraintObsolete(CONETWIST_USE_OBSOLETE_SOLVER) |
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[1963] | 46 | { |
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[2882] | 47 | init(); |
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[1963] | 48 | } |
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| 49 | |
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| 50 | btConeTwistConstraint::btConeTwistConstraint(btRigidBody& rbA,const btTransform& rbAFrame) |
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| 51 | :btTypedConstraint(CONETWIST_CONSTRAINT_TYPE,rbA),m_rbAFrame(rbAFrame), |
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[2882] | 52 | m_angularOnly(false), |
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| 53 | m_useSolveConstraintObsolete(CONETWIST_USE_OBSOLETE_SOLVER) |
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[1963] | 54 | { |
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| 55 | m_rbBFrame = m_rbAFrame; |
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[2882] | 56 | init(); |
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| 57 | } |
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[1963] | 58 | |
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| 59 | |
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[2882] | 60 | void btConeTwistConstraint::init() |
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[1963] | 61 | { |
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[2882] | 62 | m_angularOnly = false; |
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[1963] | 63 | m_solveTwistLimit = false; |
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| 64 | m_solveSwingLimit = false; |
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[2882] | 65 | m_bMotorEnabled = false; |
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| 66 | m_maxMotorImpulse = btScalar(-1); |
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[1963] | 67 | |
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[8284] | 68 | setLimit(btScalar(BT_LARGE_FLOAT), btScalar(BT_LARGE_FLOAT), btScalar(BT_LARGE_FLOAT)); |
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[2882] | 69 | m_damping = btScalar(0.01); |
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| 70 | m_fixThresh = CONETWIST_DEF_FIX_THRESH; |
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[8284] | 71 | m_flags = 0; |
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| 72 | m_linCFM = btScalar(0.f); |
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| 73 | m_linERP = btScalar(0.7f); |
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| 74 | m_angCFM = btScalar(0.f); |
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[2882] | 75 | } |
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| 76 | |
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| 77 | |
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| 78 | void btConeTwistConstraint::getInfo1 (btConstraintInfo1* info) |
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| 79 | { |
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| 80 | if (m_useSolveConstraintObsolete) |
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[1963] | 81 | { |
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[2882] | 82 | info->m_numConstraintRows = 0; |
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| 83 | info->nub = 0; |
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| 84 | } |
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| 85 | else |
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| 86 | { |
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| 87 | info->m_numConstraintRows = 3; |
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| 88 | info->nub = 3; |
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[8284] | 89 | calcAngleInfo2(m_rbA.getCenterOfMassTransform(),m_rbB.getCenterOfMassTransform(),m_rbA.getInvInertiaTensorWorld(),m_rbB.getInvInertiaTensorWorld()); |
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[2882] | 90 | if(m_solveSwingLimit) |
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| 91 | { |
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| 92 | info->m_numConstraintRows++; |
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| 93 | info->nub--; |
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| 94 | if((m_swingSpan1 < m_fixThresh) && (m_swingSpan2 < m_fixThresh)) |
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| 95 | { |
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| 96 | info->m_numConstraintRows++; |
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| 97 | info->nub--; |
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| 98 | } |
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| 99 | } |
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| 100 | if(m_solveTwistLimit) |
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| 101 | { |
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| 102 | info->m_numConstraintRows++; |
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| 103 | info->nub--; |
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| 104 | } |
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| 105 | } |
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[8284] | 106 | } |
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| 107 | |
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| 108 | void btConeTwistConstraint::getInfo1NonVirtual (btConstraintInfo1* info) |
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| 109 | { |
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| 110 | //always reserve 6 rows: object transform is not available on SPU |
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| 111 | info->m_numConstraintRows = 6; |
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| 112 | info->nub = 0; |
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| 113 | |
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| 114 | } |
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[2882] | 115 | |
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[1963] | 116 | |
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[2882] | 117 | void btConeTwistConstraint::getInfo2 (btConstraintInfo2* info) |
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| 118 | { |
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[8284] | 119 | getInfo2NonVirtual(info,m_rbA.getCenterOfMassTransform(),m_rbB.getCenterOfMassTransform(),m_rbA.getInvInertiaTensorWorld(),m_rbB.getInvInertiaTensorWorld()); |
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| 120 | } |
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| 121 | |
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| 122 | void btConeTwistConstraint::getInfo2NonVirtual (btConstraintInfo2* info,const btTransform& transA,const btTransform& transB,const btMatrix3x3& invInertiaWorldA,const btMatrix3x3& invInertiaWorldB) |
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| 123 | { |
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| 124 | calcAngleInfo2(transA,transB,invInertiaWorldA,invInertiaWorldB); |
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| 125 | |
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[2882] | 126 | btAssert(!m_useSolveConstraintObsolete); |
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| 127 | // set jacobian |
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| 128 | info->m_J1linearAxis[0] = 1; |
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| 129 | info->m_J1linearAxis[info->rowskip+1] = 1; |
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| 130 | info->m_J1linearAxis[2*info->rowskip+2] = 1; |
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[8284] | 131 | btVector3 a1 = transA.getBasis() * m_rbAFrame.getOrigin(); |
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[2882] | 132 | { |
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| 133 | btVector3* angular0 = (btVector3*)(info->m_J1angularAxis); |
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| 134 | btVector3* angular1 = (btVector3*)(info->m_J1angularAxis+info->rowskip); |
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| 135 | btVector3* angular2 = (btVector3*)(info->m_J1angularAxis+2*info->rowskip); |
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| 136 | btVector3 a1neg = -a1; |
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| 137 | a1neg.getSkewSymmetricMatrix(angular0,angular1,angular2); |
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| 138 | } |
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[8284] | 139 | btVector3 a2 = transB.getBasis() * m_rbBFrame.getOrigin(); |
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[2882] | 140 | { |
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| 141 | btVector3* angular0 = (btVector3*)(info->m_J2angularAxis); |
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| 142 | btVector3* angular1 = (btVector3*)(info->m_J2angularAxis+info->rowskip); |
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| 143 | btVector3* angular2 = (btVector3*)(info->m_J2angularAxis+2*info->rowskip); |
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| 144 | a2.getSkewSymmetricMatrix(angular0,angular1,angular2); |
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| 145 | } |
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| 146 | // set right hand side |
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[8284] | 147 | btScalar linERP = (m_flags & BT_CONETWIST_FLAGS_LIN_ERP) ? m_linERP : info->erp; |
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| 148 | btScalar k = info->fps * linERP; |
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[2882] | 149 | int j; |
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| 150 | for (j=0; j<3; j++) |
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| 151 | { |
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[8284] | 152 | info->m_constraintError[j*info->rowskip] = k * (a2[j] + transB.getOrigin()[j] - a1[j] - transA.getOrigin()[j]); |
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[2882] | 153 | info->m_lowerLimit[j*info->rowskip] = -SIMD_INFINITY; |
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| 154 | info->m_upperLimit[j*info->rowskip] = SIMD_INFINITY; |
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[8284] | 155 | if(m_flags & BT_CONETWIST_FLAGS_LIN_CFM) |
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| 156 | { |
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| 157 | info->cfm[j*info->rowskip] = m_linCFM; |
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| 158 | } |
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[2882] | 159 | } |
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| 160 | int row = 3; |
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| 161 | int srow = row * info->rowskip; |
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| 162 | btVector3 ax1; |
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| 163 | // angular limits |
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| 164 | if(m_solveSwingLimit) |
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| 165 | { |
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| 166 | btScalar *J1 = info->m_J1angularAxis; |
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| 167 | btScalar *J2 = info->m_J2angularAxis; |
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| 168 | if((m_swingSpan1 < m_fixThresh) && (m_swingSpan2 < m_fixThresh)) |
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[1963] | 169 | { |
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[8284] | 170 | btTransform trA = transA*m_rbAFrame; |
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[2882] | 171 | btVector3 p = trA.getBasis().getColumn(1); |
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| 172 | btVector3 q = trA.getBasis().getColumn(2); |
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| 173 | int srow1 = srow + info->rowskip; |
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| 174 | J1[srow+0] = p[0]; |
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| 175 | J1[srow+1] = p[1]; |
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| 176 | J1[srow+2] = p[2]; |
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| 177 | J1[srow1+0] = q[0]; |
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| 178 | J1[srow1+1] = q[1]; |
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| 179 | J1[srow1+2] = q[2]; |
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| 180 | J2[srow+0] = -p[0]; |
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| 181 | J2[srow+1] = -p[1]; |
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| 182 | J2[srow+2] = -p[2]; |
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| 183 | J2[srow1+0] = -q[0]; |
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| 184 | J2[srow1+1] = -q[1]; |
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| 185 | J2[srow1+2] = -q[2]; |
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| 186 | btScalar fact = info->fps * m_relaxationFactor; |
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| 187 | info->m_constraintError[srow] = fact * m_swingAxis.dot(p); |
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| 188 | info->m_constraintError[srow1] = fact * m_swingAxis.dot(q); |
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| 189 | info->m_lowerLimit[srow] = -SIMD_INFINITY; |
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| 190 | info->m_upperLimit[srow] = SIMD_INFINITY; |
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| 191 | info->m_lowerLimit[srow1] = -SIMD_INFINITY; |
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| 192 | info->m_upperLimit[srow1] = SIMD_INFINITY; |
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| 193 | srow = srow1 + info->rowskip; |
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[1963] | 194 | } |
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| 195 | else |
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| 196 | { |
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[2882] | 197 | ax1 = m_swingAxis * m_relaxationFactor * m_relaxationFactor; |
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| 198 | J1[srow+0] = ax1[0]; |
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| 199 | J1[srow+1] = ax1[1]; |
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| 200 | J1[srow+2] = ax1[2]; |
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| 201 | J2[srow+0] = -ax1[0]; |
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| 202 | J2[srow+1] = -ax1[1]; |
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| 203 | J2[srow+2] = -ax1[2]; |
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| 204 | btScalar k = info->fps * m_biasFactor; |
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| 205 | |
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| 206 | info->m_constraintError[srow] = k * m_swingCorrection; |
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[8284] | 207 | if(m_flags & BT_CONETWIST_FLAGS_ANG_CFM) |
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| 208 | { |
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| 209 | info->cfm[srow] = m_angCFM; |
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| 210 | } |
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[2882] | 211 | // m_swingCorrection is always positive or 0 |
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| 212 | info->m_lowerLimit[srow] = 0; |
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| 213 | info->m_upperLimit[srow] = SIMD_INFINITY; |
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| 214 | srow += info->rowskip; |
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[1963] | 215 | } |
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[2882] | 216 | } |
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| 217 | if(m_solveTwistLimit) |
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| 218 | { |
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| 219 | ax1 = m_twistAxis * m_relaxationFactor * m_relaxationFactor; |
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| 220 | btScalar *J1 = info->m_J1angularAxis; |
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| 221 | btScalar *J2 = info->m_J2angularAxis; |
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| 222 | J1[srow+0] = ax1[0]; |
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| 223 | J1[srow+1] = ax1[1]; |
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| 224 | J1[srow+2] = ax1[2]; |
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| 225 | J2[srow+0] = -ax1[0]; |
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| 226 | J2[srow+1] = -ax1[1]; |
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| 227 | J2[srow+2] = -ax1[2]; |
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| 228 | btScalar k = info->fps * m_biasFactor; |
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| 229 | info->m_constraintError[srow] = k * m_twistCorrection; |
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[8284] | 230 | if(m_flags & BT_CONETWIST_FLAGS_ANG_CFM) |
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| 231 | { |
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| 232 | info->cfm[srow] = m_angCFM; |
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| 233 | } |
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[2882] | 234 | if(m_twistSpan > 0.0f) |
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| 235 | { |
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[1963] | 236 | |
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[2882] | 237 | if(m_twistCorrection > 0.0f) |
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| 238 | { |
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| 239 | info->m_lowerLimit[srow] = 0; |
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| 240 | info->m_upperLimit[srow] = SIMD_INFINITY; |
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| 241 | } |
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| 242 | else |
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| 243 | { |
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| 244 | info->m_lowerLimit[srow] = -SIMD_INFINITY; |
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| 245 | info->m_upperLimit[srow] = 0; |
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| 246 | } |
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| 247 | } |
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| 248 | else |
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| 249 | { |
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| 250 | info->m_lowerLimit[srow] = -SIMD_INFINITY; |
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| 251 | info->m_upperLimit[srow] = SIMD_INFINITY; |
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| 252 | } |
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| 253 | srow += info->rowskip; |
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| 254 | } |
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| 255 | } |
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| 256 | |
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[1963] | 257 | |
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[8284] | 258 | |
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[2882] | 259 | void btConeTwistConstraint::buildJacobian() |
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| 260 | { |
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| 261 | if (m_useSolveConstraintObsolete) |
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| 262 | { |
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| 263 | m_appliedImpulse = btScalar(0.); |
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| 264 | m_accTwistLimitImpulse = btScalar(0.); |
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| 265 | m_accSwingLimitImpulse = btScalar(0.); |
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[8284] | 266 | m_accMotorImpulse = btVector3(0.,0.,0.); |
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[2882] | 267 | |
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| 268 | if (!m_angularOnly) |
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[1963] | 269 | { |
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[2882] | 270 | btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin(); |
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| 271 | btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin(); |
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| 272 | btVector3 relPos = pivotBInW - pivotAInW; |
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| 273 | |
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| 274 | btVector3 normal[3]; |
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| 275 | if (relPos.length2() > SIMD_EPSILON) |
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| 276 | { |
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| 277 | normal[0] = relPos.normalized(); |
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| 278 | } |
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| 279 | else |
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| 280 | { |
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| 281 | normal[0].setValue(btScalar(1.0),0,0); |
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| 282 | } |
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| 283 | |
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| 284 | btPlaneSpace1(normal[0], normal[1], normal[2]); |
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| 285 | |
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| 286 | for (int i=0;i<3;i++) |
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| 287 | { |
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| 288 | new (&m_jac[i]) btJacobianEntry( |
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[1963] | 289 | m_rbA.getCenterOfMassTransform().getBasis().transpose(), |
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| 290 | m_rbB.getCenterOfMassTransform().getBasis().transpose(), |
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| 291 | pivotAInW - m_rbA.getCenterOfMassPosition(), |
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| 292 | pivotBInW - m_rbB.getCenterOfMassPosition(), |
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| 293 | normal[i], |
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| 294 | m_rbA.getInvInertiaDiagLocal(), |
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| 295 | m_rbA.getInvMass(), |
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| 296 | m_rbB.getInvInertiaDiagLocal(), |
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| 297 | m_rbB.getInvMass()); |
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[2882] | 298 | } |
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[1963] | 299 | } |
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[2882] | 300 | |
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[8284] | 301 | calcAngleInfo2(m_rbA.getCenterOfMassTransform(),m_rbB.getCenterOfMassTransform(),m_rbA.getInvInertiaTensorWorld(),m_rbB.getInvInertiaTensorWorld()); |
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[1963] | 302 | } |
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[2882] | 303 | } |
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[1963] | 304 | |
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[2882] | 305 | |
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[8284] | 306 | |
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| 307 | void btConeTwistConstraint::solveConstraintObsolete(btRigidBody& bodyA,btRigidBody& bodyB,btScalar timeStep) |
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[2882] | 308 | { |
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[8284] | 309 | #ifndef __SPU__ |
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[2882] | 310 | if (m_useSolveConstraintObsolete) |
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| 311 | { |
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| 312 | btVector3 pivotAInW = m_rbA.getCenterOfMassTransform()*m_rbAFrame.getOrigin(); |
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| 313 | btVector3 pivotBInW = m_rbB.getCenterOfMassTransform()*m_rbBFrame.getOrigin(); |
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| 314 | |
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| 315 | btScalar tau = btScalar(0.3); |
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| 316 | |
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| 317 | //linear part |
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| 318 | if (!m_angularOnly) |
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| 319 | { |
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| 320 | btVector3 rel_pos1 = pivotAInW - m_rbA.getCenterOfMassPosition(); |
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| 321 | btVector3 rel_pos2 = pivotBInW - m_rbB.getCenterOfMassPosition(); |
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| 322 | |
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| 323 | btVector3 vel1; |
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[8284] | 324 | bodyA.internalGetVelocityInLocalPointObsolete(rel_pos1,vel1); |
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[2882] | 325 | btVector3 vel2; |
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[8284] | 326 | bodyB.internalGetVelocityInLocalPointObsolete(rel_pos2,vel2); |
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[2882] | 327 | btVector3 vel = vel1 - vel2; |
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| 328 | |
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| 329 | for (int i=0;i<3;i++) |
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| 330 | { |
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| 331 | const btVector3& normal = m_jac[i].m_linearJointAxis; |
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| 332 | btScalar jacDiagABInv = btScalar(1.) / m_jac[i].getDiagonal(); |
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| 333 | |
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| 334 | btScalar rel_vel; |
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| 335 | rel_vel = normal.dot(vel); |
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| 336 | //positional error (zeroth order error) |
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| 337 | btScalar depth = -(pivotAInW - pivotBInW).dot(normal); //this is the error projected on the normal |
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| 338 | btScalar impulse = depth*tau/timeStep * jacDiagABInv - rel_vel * jacDiagABInv; |
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| 339 | m_appliedImpulse += impulse; |
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| 340 | |
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| 341 | btVector3 ftorqueAxis1 = rel_pos1.cross(normal); |
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| 342 | btVector3 ftorqueAxis2 = rel_pos2.cross(normal); |
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[8284] | 343 | bodyA.internalApplyImpulse(normal*m_rbA.getInvMass(), m_rbA.getInvInertiaTensorWorld()*ftorqueAxis1,impulse); |
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| 344 | bodyB.internalApplyImpulse(normal*m_rbB.getInvMass(), m_rbB.getInvInertiaTensorWorld()*ftorqueAxis2,-impulse); |
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[2882] | 345 | |
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| 346 | } |
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| 347 | } |
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| 348 | |
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| 349 | // apply motor |
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| 350 | if (m_bMotorEnabled) |
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| 351 | { |
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| 352 | // compute current and predicted transforms |
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| 353 | btTransform trACur = m_rbA.getCenterOfMassTransform(); |
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| 354 | btTransform trBCur = m_rbB.getCenterOfMassTransform(); |
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[8284] | 355 | btVector3 omegaA; bodyA.internalGetAngularVelocity(omegaA); |
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| 356 | btVector3 omegaB; bodyB.internalGetAngularVelocity(omegaB); |
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[2882] | 357 | btTransform trAPred; trAPred.setIdentity(); |
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| 358 | btVector3 zerovec(0,0,0); |
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| 359 | btTransformUtil::integrateTransform( |
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| 360 | trACur, zerovec, omegaA, timeStep, trAPred); |
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| 361 | btTransform trBPred; trBPred.setIdentity(); |
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| 362 | btTransformUtil::integrateTransform( |
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| 363 | trBCur, zerovec, omegaB, timeStep, trBPred); |
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| 364 | |
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| 365 | // compute desired transforms in world |
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| 366 | btTransform trPose(m_qTarget); |
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| 367 | btTransform trABDes = m_rbBFrame * trPose * m_rbAFrame.inverse(); |
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| 368 | btTransform trADes = trBPred * trABDes; |
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| 369 | btTransform trBDes = trAPred * trABDes.inverse(); |
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| 370 | |
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| 371 | // compute desired omegas in world |
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| 372 | btVector3 omegaADes, omegaBDes; |
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| 373 | |
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| 374 | btTransformUtil::calculateVelocity(trACur, trADes, timeStep, zerovec, omegaADes); |
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| 375 | btTransformUtil::calculateVelocity(trBCur, trBDes, timeStep, zerovec, omegaBDes); |
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| 376 | |
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| 377 | // compute delta omegas |
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| 378 | btVector3 dOmegaA = omegaADes - omegaA; |
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| 379 | btVector3 dOmegaB = omegaBDes - omegaB; |
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| 380 | |
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| 381 | // compute weighted avg axis of dOmega (weighting based on inertias) |
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| 382 | btVector3 axisA, axisB; |
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| 383 | btScalar kAxisAInv = 0, kAxisBInv = 0; |
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| 384 | |
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| 385 | if (dOmegaA.length2() > SIMD_EPSILON) |
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| 386 | { |
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| 387 | axisA = dOmegaA.normalized(); |
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| 388 | kAxisAInv = getRigidBodyA().computeAngularImpulseDenominator(axisA); |
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| 389 | } |
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| 390 | |
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| 391 | if (dOmegaB.length2() > SIMD_EPSILON) |
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| 392 | { |
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| 393 | axisB = dOmegaB.normalized(); |
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| 394 | kAxisBInv = getRigidBodyB().computeAngularImpulseDenominator(axisB); |
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| 395 | } |
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| 396 | |
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| 397 | btVector3 avgAxis = kAxisAInv * axisA + kAxisBInv * axisB; |
---|
| 398 | |
---|
| 399 | static bool bDoTorque = true; |
---|
| 400 | if (bDoTorque && avgAxis.length2() > SIMD_EPSILON) |
---|
| 401 | { |
---|
| 402 | avgAxis.normalize(); |
---|
| 403 | kAxisAInv = getRigidBodyA().computeAngularImpulseDenominator(avgAxis); |
---|
| 404 | kAxisBInv = getRigidBodyB().computeAngularImpulseDenominator(avgAxis); |
---|
| 405 | btScalar kInvCombined = kAxisAInv + kAxisBInv; |
---|
| 406 | |
---|
| 407 | btVector3 impulse = (kAxisAInv * dOmegaA - kAxisBInv * dOmegaB) / |
---|
| 408 | (kInvCombined * kInvCombined); |
---|
| 409 | |
---|
| 410 | if (m_maxMotorImpulse >= 0) |
---|
| 411 | { |
---|
| 412 | btScalar fMaxImpulse = m_maxMotorImpulse; |
---|
| 413 | if (m_bNormalizedMotorStrength) |
---|
| 414 | fMaxImpulse = fMaxImpulse/kAxisAInv; |
---|
| 415 | |
---|
| 416 | btVector3 newUnclampedAccImpulse = m_accMotorImpulse + impulse; |
---|
| 417 | btScalar newUnclampedMag = newUnclampedAccImpulse.length(); |
---|
| 418 | if (newUnclampedMag > fMaxImpulse) |
---|
| 419 | { |
---|
| 420 | newUnclampedAccImpulse.normalize(); |
---|
| 421 | newUnclampedAccImpulse *= fMaxImpulse; |
---|
| 422 | impulse = newUnclampedAccImpulse - m_accMotorImpulse; |
---|
| 423 | } |
---|
| 424 | m_accMotorImpulse += impulse; |
---|
| 425 | } |
---|
| 426 | |
---|
| 427 | btScalar impulseMag = impulse.length(); |
---|
| 428 | btVector3 impulseAxis = impulse / impulseMag; |
---|
| 429 | |
---|
[8284] | 430 | bodyA.internalApplyImpulse(btVector3(0,0,0), m_rbA.getInvInertiaTensorWorld()*impulseAxis, impulseMag); |
---|
| 431 | bodyB.internalApplyImpulse(btVector3(0,0,0), m_rbB.getInvInertiaTensorWorld()*impulseAxis, -impulseMag); |
---|
[2882] | 432 | |
---|
| 433 | } |
---|
| 434 | } |
---|
[8284] | 435 | else if (m_damping > SIMD_EPSILON) // no motor: do a little damping |
---|
[2882] | 436 | { |
---|
[8284] | 437 | btVector3 angVelA; bodyA.internalGetAngularVelocity(angVelA); |
---|
| 438 | btVector3 angVelB; bodyB.internalGetAngularVelocity(angVelB); |
---|
[2882] | 439 | btVector3 relVel = angVelB - angVelA; |
---|
| 440 | if (relVel.length2() > SIMD_EPSILON) |
---|
| 441 | { |
---|
| 442 | btVector3 relVelAxis = relVel.normalized(); |
---|
| 443 | btScalar m_kDamping = btScalar(1.) / |
---|
| 444 | (getRigidBodyA().computeAngularImpulseDenominator(relVelAxis) + |
---|
| 445 | getRigidBodyB().computeAngularImpulseDenominator(relVelAxis)); |
---|
| 446 | btVector3 impulse = m_damping * m_kDamping * relVel; |
---|
| 447 | |
---|
| 448 | btScalar impulseMag = impulse.length(); |
---|
| 449 | btVector3 impulseAxis = impulse / impulseMag; |
---|
[8284] | 450 | bodyA.internalApplyImpulse(btVector3(0,0,0), m_rbA.getInvInertiaTensorWorld()*impulseAxis, impulseMag); |
---|
| 451 | bodyB.internalApplyImpulse(btVector3(0,0,0), m_rbB.getInvInertiaTensorWorld()*impulseAxis, -impulseMag); |
---|
[2882] | 452 | } |
---|
| 453 | } |
---|
| 454 | |
---|
| 455 | // joint limits |
---|
| 456 | { |
---|
| 457 | ///solve angular part |
---|
| 458 | btVector3 angVelA; |
---|
[8284] | 459 | bodyA.internalGetAngularVelocity(angVelA); |
---|
[2882] | 460 | btVector3 angVelB; |
---|
[8284] | 461 | bodyB.internalGetAngularVelocity(angVelB); |
---|
[2882] | 462 | |
---|
| 463 | // solve swing limit |
---|
| 464 | if (m_solveSwingLimit) |
---|
| 465 | { |
---|
| 466 | btScalar amplitude = m_swingLimitRatio * m_swingCorrection*m_biasFactor/timeStep; |
---|
| 467 | btScalar relSwingVel = (angVelB - angVelA).dot(m_swingAxis); |
---|
| 468 | if (relSwingVel > 0) |
---|
| 469 | amplitude += m_swingLimitRatio * relSwingVel * m_relaxationFactor; |
---|
| 470 | btScalar impulseMag = amplitude * m_kSwing; |
---|
| 471 | |
---|
| 472 | // Clamp the accumulated impulse |
---|
| 473 | btScalar temp = m_accSwingLimitImpulse; |
---|
| 474 | m_accSwingLimitImpulse = btMax(m_accSwingLimitImpulse + impulseMag, btScalar(0.0) ); |
---|
| 475 | impulseMag = m_accSwingLimitImpulse - temp; |
---|
| 476 | |
---|
| 477 | btVector3 impulse = m_swingAxis * impulseMag; |
---|
| 478 | |
---|
| 479 | // don't let cone response affect twist |
---|
| 480 | // (this can happen since body A's twist doesn't match body B's AND we use an elliptical cone limit) |
---|
| 481 | { |
---|
| 482 | btVector3 impulseTwistCouple = impulse.dot(m_twistAxisA) * m_twistAxisA; |
---|
| 483 | btVector3 impulseNoTwistCouple = impulse - impulseTwistCouple; |
---|
| 484 | impulse = impulseNoTwistCouple; |
---|
| 485 | } |
---|
| 486 | |
---|
| 487 | impulseMag = impulse.length(); |
---|
| 488 | btVector3 noTwistSwingAxis = impulse / impulseMag; |
---|
| 489 | |
---|
[8284] | 490 | bodyA.internalApplyImpulse(btVector3(0,0,0), m_rbA.getInvInertiaTensorWorld()*noTwistSwingAxis, impulseMag); |
---|
| 491 | bodyB.internalApplyImpulse(btVector3(0,0,0), m_rbB.getInvInertiaTensorWorld()*noTwistSwingAxis, -impulseMag); |
---|
[2882] | 492 | } |
---|
| 493 | |
---|
| 494 | |
---|
| 495 | // solve twist limit |
---|
| 496 | if (m_solveTwistLimit) |
---|
| 497 | { |
---|
| 498 | btScalar amplitude = m_twistLimitRatio * m_twistCorrection*m_biasFactor/timeStep; |
---|
| 499 | btScalar relTwistVel = (angVelB - angVelA).dot( m_twistAxis ); |
---|
| 500 | if (relTwistVel > 0) // only damp when moving towards limit (m_twistAxis flipping is important) |
---|
| 501 | amplitude += m_twistLimitRatio * relTwistVel * m_relaxationFactor; |
---|
| 502 | btScalar impulseMag = amplitude * m_kTwist; |
---|
| 503 | |
---|
| 504 | // Clamp the accumulated impulse |
---|
| 505 | btScalar temp = m_accTwistLimitImpulse; |
---|
| 506 | m_accTwistLimitImpulse = btMax(m_accTwistLimitImpulse + impulseMag, btScalar(0.0) ); |
---|
| 507 | impulseMag = m_accTwistLimitImpulse - temp; |
---|
| 508 | |
---|
| 509 | btVector3 impulse = m_twistAxis * impulseMag; |
---|
| 510 | |
---|
[8284] | 511 | bodyA.internalApplyImpulse(btVector3(0,0,0), m_rbA.getInvInertiaTensorWorld()*m_twistAxis,impulseMag); |
---|
| 512 | bodyB.internalApplyImpulse(btVector3(0,0,0), m_rbB.getInvInertiaTensorWorld()*m_twistAxis,-impulseMag); |
---|
[2882] | 513 | } |
---|
| 514 | } |
---|
| 515 | } |
---|
[8284] | 516 | #else |
---|
| 517 | btAssert(0); |
---|
| 518 | #endif //__SPU__ |
---|
[2882] | 519 | } |
---|
| 520 | |
---|
| 521 | |
---|
[8284] | 522 | |
---|
| 523 | |
---|
[2882] | 524 | void btConeTwistConstraint::updateRHS(btScalar timeStep) |
---|
| 525 | { |
---|
| 526 | (void)timeStep; |
---|
| 527 | |
---|
| 528 | } |
---|
| 529 | |
---|
| 530 | |
---|
[8284] | 531 | #ifndef __SPU__ |
---|
[2882] | 532 | void btConeTwistConstraint::calcAngleInfo() |
---|
| 533 | { |
---|
| 534 | m_swingCorrection = btScalar(0.); |
---|
| 535 | m_twistLimitSign = btScalar(0.); |
---|
| 536 | m_solveTwistLimit = false; |
---|
| 537 | m_solveSwingLimit = false; |
---|
| 538 | |
---|
[1963] | 539 | btVector3 b1Axis1,b1Axis2,b1Axis3; |
---|
| 540 | btVector3 b2Axis1,b2Axis2; |
---|
| 541 | |
---|
| 542 | b1Axis1 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(0); |
---|
| 543 | b2Axis1 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(0); |
---|
| 544 | |
---|
| 545 | btScalar swing1=btScalar(0.),swing2 = btScalar(0.); |
---|
| 546 | |
---|
| 547 | btScalar swx=btScalar(0.),swy = btScalar(0.); |
---|
| 548 | btScalar thresh = btScalar(10.); |
---|
| 549 | btScalar fact; |
---|
| 550 | |
---|
| 551 | // Get Frame into world space |
---|
| 552 | if (m_swingSpan1 >= btScalar(0.05f)) |
---|
| 553 | { |
---|
| 554 | b1Axis2 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(1); |
---|
| 555 | swx = b2Axis1.dot(b1Axis1); |
---|
| 556 | swy = b2Axis1.dot(b1Axis2); |
---|
| 557 | swing1 = btAtan2Fast(swy, swx); |
---|
| 558 | fact = (swy*swy + swx*swx) * thresh * thresh; |
---|
| 559 | fact = fact / (fact + btScalar(1.0)); |
---|
| 560 | swing1 *= fact; |
---|
| 561 | } |
---|
| 562 | |
---|
| 563 | if (m_swingSpan2 >= btScalar(0.05f)) |
---|
| 564 | { |
---|
| 565 | b1Axis3 = getRigidBodyA().getCenterOfMassTransform().getBasis() * this->m_rbAFrame.getBasis().getColumn(2); |
---|
| 566 | swx = b2Axis1.dot(b1Axis1); |
---|
| 567 | swy = b2Axis1.dot(b1Axis3); |
---|
| 568 | swing2 = btAtan2Fast(swy, swx); |
---|
| 569 | fact = (swy*swy + swx*swx) * thresh * thresh; |
---|
| 570 | fact = fact / (fact + btScalar(1.0)); |
---|
| 571 | swing2 *= fact; |
---|
| 572 | } |
---|
| 573 | |
---|
| 574 | btScalar RMaxAngle1Sq = 1.0f / (m_swingSpan1*m_swingSpan1); |
---|
| 575 | btScalar RMaxAngle2Sq = 1.0f / (m_swingSpan2*m_swingSpan2); |
---|
| 576 | btScalar EllipseAngle = btFabs(swing1*swing1)* RMaxAngle1Sq + btFabs(swing2*swing2) * RMaxAngle2Sq; |
---|
| 577 | |
---|
| 578 | if (EllipseAngle > 1.0f) |
---|
| 579 | { |
---|
| 580 | m_swingCorrection = EllipseAngle-1.0f; |
---|
| 581 | m_solveSwingLimit = true; |
---|
| 582 | // Calculate necessary axis & factors |
---|
| 583 | m_swingAxis = b2Axis1.cross(b1Axis2* b2Axis1.dot(b1Axis2) + b1Axis3* b2Axis1.dot(b1Axis3)); |
---|
| 584 | m_swingAxis.normalize(); |
---|
| 585 | btScalar swingAxisSign = (b2Axis1.dot(b1Axis1) >= 0.0f) ? 1.0f : -1.0f; |
---|
| 586 | m_swingAxis *= swingAxisSign; |
---|
| 587 | } |
---|
| 588 | |
---|
| 589 | // Twist limits |
---|
| 590 | if (m_twistSpan >= btScalar(0.)) |
---|
| 591 | { |
---|
| 592 | btVector3 b2Axis2 = getRigidBodyB().getCenterOfMassTransform().getBasis() * this->m_rbBFrame.getBasis().getColumn(1); |
---|
| 593 | btQuaternion rotationArc = shortestArcQuat(b2Axis1,b1Axis1); |
---|
| 594 | btVector3 TwistRef = quatRotate(rotationArc,b2Axis2); |
---|
| 595 | btScalar twist = btAtan2Fast( TwistRef.dot(b1Axis3), TwistRef.dot(b1Axis2) ); |
---|
[2882] | 596 | m_twistAngle = twist; |
---|
[1963] | 597 | |
---|
[2882] | 598 | // btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? m_limitSoftness : btScalar(0.); |
---|
| 599 | btScalar lockedFreeFactor = (m_twistSpan > btScalar(0.05f)) ? btScalar(1.0f) : btScalar(0.); |
---|
[1963] | 600 | if (twist <= -m_twistSpan*lockedFreeFactor) |
---|
| 601 | { |
---|
| 602 | m_twistCorrection = -(twist + m_twistSpan); |
---|
| 603 | m_solveTwistLimit = true; |
---|
| 604 | m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f; |
---|
| 605 | m_twistAxis.normalize(); |
---|
| 606 | m_twistAxis *= -1.0f; |
---|
[2882] | 607 | } |
---|
| 608 | else if (twist > m_twistSpan*lockedFreeFactor) |
---|
| 609 | { |
---|
| 610 | m_twistCorrection = (twist - m_twistSpan); |
---|
| 611 | m_solveTwistLimit = true; |
---|
| 612 | m_twistAxis = (b2Axis1 + b1Axis1) * 0.5f; |
---|
| 613 | m_twistAxis.normalize(); |
---|
| 614 | } |
---|
| 615 | } |
---|
[8284] | 616 | } |
---|
| 617 | #endif //__SPU__ |
---|
[1963] | 618 | |
---|
[2882] | 619 | static btVector3 vTwist(1,0,0); // twist axis in constraint's space |
---|
| 620 | |
---|
| 621 | |
---|
[8284] | 622 | |
---|
| 623 | void btConeTwistConstraint::calcAngleInfo2(const btTransform& transA, const btTransform& transB, const btMatrix3x3& invInertiaWorldA,const btMatrix3x3& invInertiaWorldB) |
---|
[2882] | 624 | { |
---|
| 625 | m_swingCorrection = btScalar(0.); |
---|
| 626 | m_twistLimitSign = btScalar(0.); |
---|
| 627 | m_solveTwistLimit = false; |
---|
| 628 | m_solveSwingLimit = false; |
---|
[8284] | 629 | // compute rotation of A wrt B (in constraint space) |
---|
| 630 | if (m_bMotorEnabled && (!m_useSolveConstraintObsolete)) |
---|
| 631 | { // it is assumed that setMotorTarget() was alredy called |
---|
| 632 | // and motor target m_qTarget is within constraint limits |
---|
| 633 | // TODO : split rotation to pure swing and pure twist |
---|
| 634 | // compute desired transforms in world |
---|
| 635 | btTransform trPose(m_qTarget); |
---|
| 636 | btTransform trA = transA * m_rbAFrame; |
---|
| 637 | btTransform trB = transB * m_rbBFrame; |
---|
| 638 | btTransform trDeltaAB = trB * trPose * trA.inverse(); |
---|
| 639 | btQuaternion qDeltaAB = trDeltaAB.getRotation(); |
---|
| 640 | btVector3 swingAxis = btVector3(qDeltaAB.x(), qDeltaAB.y(), qDeltaAB.z()); |
---|
| 641 | m_swingAxis = swingAxis; |
---|
| 642 | m_swingAxis.normalize(); |
---|
| 643 | m_swingCorrection = qDeltaAB.getAngle(); |
---|
| 644 | if(!btFuzzyZero(m_swingCorrection)) |
---|
| 645 | { |
---|
| 646 | m_solveSwingLimit = true; |
---|
| 647 | } |
---|
| 648 | return; |
---|
| 649 | } |
---|
[2882] | 650 | |
---|
[8284] | 651 | |
---|
[2882] | 652 | { |
---|
| 653 | // compute rotation of A wrt B (in constraint space) |
---|
[8284] | 654 | btQuaternion qA = transA.getRotation() * m_rbAFrame.getRotation(); |
---|
| 655 | btQuaternion qB = transB.getRotation() * m_rbBFrame.getRotation(); |
---|
[2882] | 656 | btQuaternion qAB = qB.inverse() * qA; |
---|
| 657 | // split rotation into cone and twist |
---|
| 658 | // (all this is done from B's perspective. Maybe I should be averaging axes...) |
---|
| 659 | btVector3 vConeNoTwist = quatRotate(qAB, vTwist); vConeNoTwist.normalize(); |
---|
| 660 | btQuaternion qABCone = shortestArcQuat(vTwist, vConeNoTwist); qABCone.normalize(); |
---|
| 661 | btQuaternion qABTwist = qABCone.inverse() * qAB; qABTwist.normalize(); |
---|
| 662 | |
---|
| 663 | if (m_swingSpan1 >= m_fixThresh && m_swingSpan2 >= m_fixThresh) |
---|
| 664 | { |
---|
| 665 | btScalar swingAngle, swingLimit = 0; btVector3 swingAxis; |
---|
| 666 | computeConeLimitInfo(qABCone, swingAngle, swingAxis, swingLimit); |
---|
| 667 | |
---|
| 668 | if (swingAngle > swingLimit * m_limitSoftness) |
---|
[1963] | 669 | { |
---|
[2882] | 670 | m_solveSwingLimit = true; |
---|
[1963] | 671 | |
---|
[2882] | 672 | // compute limit ratio: 0->1, where |
---|
| 673 | // 0 == beginning of soft limit |
---|
| 674 | // 1 == hard/real limit |
---|
| 675 | m_swingLimitRatio = 1.f; |
---|
| 676 | if (swingAngle < swingLimit && m_limitSoftness < 1.f - SIMD_EPSILON) |
---|
| 677 | { |
---|
| 678 | m_swingLimitRatio = (swingAngle - swingLimit * m_limitSoftness)/ |
---|
| 679 | (swingLimit - swingLimit * m_limitSoftness); |
---|
| 680 | } |
---|
[1963] | 681 | |
---|
[2882] | 682 | // swing correction tries to get back to soft limit |
---|
| 683 | m_swingCorrection = swingAngle - (swingLimit * m_limitSoftness); |
---|
[1963] | 684 | |
---|
[2882] | 685 | // adjustment of swing axis (based on ellipse normal) |
---|
| 686 | adjustSwingAxisToUseEllipseNormal(swingAxis); |
---|
| 687 | |
---|
| 688 | // Calculate necessary axis & factors |
---|
| 689 | m_swingAxis = quatRotate(qB, -swingAxis); |
---|
| 690 | |
---|
| 691 | m_twistAxisA.setValue(0,0,0); |
---|
| 692 | |
---|
| 693 | m_kSwing = btScalar(1.) / |
---|
[8284] | 694 | (computeAngularImpulseDenominator(m_swingAxis,invInertiaWorldA) + |
---|
| 695 | computeAngularImpulseDenominator(m_swingAxis,invInertiaWorldB)); |
---|
[1963] | 696 | } |
---|
[2882] | 697 | } |
---|
| 698 | else |
---|
| 699 | { |
---|
| 700 | // you haven't set any limits; |
---|
| 701 | // or you're trying to set at least one of the swing limits too small. (if so, do you really want a conetwist constraint?) |
---|
| 702 | // anyway, we have either hinge or fixed joint |
---|
[8284] | 703 | btVector3 ivA = transA.getBasis() * m_rbAFrame.getBasis().getColumn(0); |
---|
| 704 | btVector3 jvA = transA.getBasis() * m_rbAFrame.getBasis().getColumn(1); |
---|
| 705 | btVector3 kvA = transA.getBasis() * m_rbAFrame.getBasis().getColumn(2); |
---|
| 706 | btVector3 ivB = transB.getBasis() * m_rbBFrame.getBasis().getColumn(0); |
---|
[2882] | 707 | btVector3 target; |
---|
| 708 | btScalar x = ivB.dot(ivA); |
---|
| 709 | btScalar y = ivB.dot(jvA); |
---|
| 710 | btScalar z = ivB.dot(kvA); |
---|
| 711 | if((m_swingSpan1 < m_fixThresh) && (m_swingSpan2 < m_fixThresh)) |
---|
| 712 | { // fixed. We'll need to add one more row to constraint |
---|
| 713 | if((!btFuzzyZero(y)) || (!(btFuzzyZero(z)))) |
---|
| 714 | { |
---|
| 715 | m_solveSwingLimit = true; |
---|
| 716 | m_swingAxis = -ivB.cross(ivA); |
---|
| 717 | } |
---|
| 718 | } |
---|
| 719 | else |
---|
| 720 | { |
---|
| 721 | if(m_swingSpan1 < m_fixThresh) |
---|
| 722 | { // hinge around Y axis |
---|
| 723 | if(!(btFuzzyZero(y))) |
---|
| 724 | { |
---|
| 725 | m_solveSwingLimit = true; |
---|
| 726 | if(m_swingSpan2 >= m_fixThresh) |
---|
| 727 | { |
---|
| 728 | y = btScalar(0.f); |
---|
| 729 | btScalar span2 = btAtan2(z, x); |
---|
| 730 | if(span2 > m_swingSpan2) |
---|
| 731 | { |
---|
| 732 | x = btCos(m_swingSpan2); |
---|
| 733 | z = btSin(m_swingSpan2); |
---|
| 734 | } |
---|
| 735 | else if(span2 < -m_swingSpan2) |
---|
| 736 | { |
---|
| 737 | x = btCos(m_swingSpan2); |
---|
| 738 | z = -btSin(m_swingSpan2); |
---|
| 739 | } |
---|
| 740 | } |
---|
| 741 | } |
---|
| 742 | } |
---|
| 743 | else |
---|
| 744 | { // hinge around Z axis |
---|
| 745 | if(!btFuzzyZero(z)) |
---|
| 746 | { |
---|
| 747 | m_solveSwingLimit = true; |
---|
| 748 | if(m_swingSpan1 >= m_fixThresh) |
---|
| 749 | { |
---|
| 750 | z = btScalar(0.f); |
---|
| 751 | btScalar span1 = btAtan2(y, x); |
---|
| 752 | if(span1 > m_swingSpan1) |
---|
| 753 | { |
---|
| 754 | x = btCos(m_swingSpan1); |
---|
| 755 | y = btSin(m_swingSpan1); |
---|
| 756 | } |
---|
| 757 | else if(span1 < -m_swingSpan1) |
---|
| 758 | { |
---|
| 759 | x = btCos(m_swingSpan1); |
---|
| 760 | y = -btSin(m_swingSpan1); |
---|
| 761 | } |
---|
| 762 | } |
---|
| 763 | } |
---|
| 764 | } |
---|
| 765 | target[0] = x * ivA[0] + y * jvA[0] + z * kvA[0]; |
---|
| 766 | target[1] = x * ivA[1] + y * jvA[1] + z * kvA[1]; |
---|
| 767 | target[2] = x * ivA[2] + y * jvA[2] + z * kvA[2]; |
---|
| 768 | target.normalize(); |
---|
| 769 | m_swingAxis = -ivB.cross(target); |
---|
| 770 | m_swingCorrection = m_swingAxis.length(); |
---|
| 771 | m_swingAxis.normalize(); |
---|
| 772 | } |
---|
| 773 | } |
---|
[1963] | 774 | |
---|
[2882] | 775 | if (m_twistSpan >= btScalar(0.f)) |
---|
| 776 | { |
---|
| 777 | btVector3 twistAxis; |
---|
| 778 | computeTwistLimitInfo(qABTwist, m_twistAngle, twistAxis); |
---|
[1963] | 779 | |
---|
[2882] | 780 | if (m_twistAngle > m_twistSpan*m_limitSoftness) |
---|
| 781 | { |
---|
| 782 | m_solveTwistLimit = true; |
---|
[1963] | 783 | |
---|
[2882] | 784 | m_twistLimitRatio = 1.f; |
---|
| 785 | if (m_twistAngle < m_twistSpan && m_limitSoftness < 1.f - SIMD_EPSILON) |
---|
| 786 | { |
---|
| 787 | m_twistLimitRatio = (m_twistAngle - m_twistSpan * m_limitSoftness)/ |
---|
| 788 | (m_twistSpan - m_twistSpan * m_limitSoftness); |
---|
| 789 | } |
---|
[1963] | 790 | |
---|
[2882] | 791 | // twist correction tries to get back to soft limit |
---|
| 792 | m_twistCorrection = m_twistAngle - (m_twistSpan * m_limitSoftness); |
---|
[1963] | 793 | |
---|
[2882] | 794 | m_twistAxis = quatRotate(qB, -twistAxis); |
---|
[1963] | 795 | |
---|
[2882] | 796 | m_kTwist = btScalar(1.) / |
---|
[8284] | 797 | (computeAngularImpulseDenominator(m_twistAxis,invInertiaWorldA) + |
---|
| 798 | computeAngularImpulseDenominator(m_twistAxis,invInertiaWorldB)); |
---|
[2882] | 799 | } |
---|
[1963] | 800 | |
---|
[2882] | 801 | if (m_solveSwingLimit) |
---|
| 802 | m_twistAxisA = quatRotate(qA, -twistAxis); |
---|
[1963] | 803 | } |
---|
[2882] | 804 | else |
---|
| 805 | { |
---|
| 806 | m_twistAngle = btScalar(0.f); |
---|
| 807 | } |
---|
[1963] | 808 | } |
---|
[8284] | 809 | } |
---|
[2882] | 810 | |
---|
| 811 | |
---|
| 812 | |
---|
| 813 | // given a cone rotation in constraint space, (pre: twist must already be removed) |
---|
| 814 | // this method computes its corresponding swing angle and axis. |
---|
| 815 | // more interestingly, it computes the cone/swing limit (angle) for this cone "pose". |
---|
| 816 | void btConeTwistConstraint::computeConeLimitInfo(const btQuaternion& qCone, |
---|
| 817 | btScalar& swingAngle, // out |
---|
| 818 | btVector3& vSwingAxis, // out |
---|
| 819 | btScalar& swingLimit) // out |
---|
| 820 | { |
---|
| 821 | swingAngle = qCone.getAngle(); |
---|
| 822 | if (swingAngle > SIMD_EPSILON) |
---|
[1963] | 823 | { |
---|
[2882] | 824 | vSwingAxis = btVector3(qCone.x(), qCone.y(), qCone.z()); |
---|
| 825 | vSwingAxis.normalize(); |
---|
| 826 | if (fabs(vSwingAxis.x()) > SIMD_EPSILON) |
---|
[1963] | 827 | { |
---|
[2882] | 828 | // non-zero twist?! this should never happen. |
---|
| 829 | int wtf = 0; wtf = wtf; |
---|
| 830 | } |
---|
[1963] | 831 | |
---|
[2882] | 832 | // Compute limit for given swing. tricky: |
---|
| 833 | // Given a swing axis, we're looking for the intersection with the bounding cone ellipse. |
---|
| 834 | // (Since we're dealing with angles, this ellipse is embedded on the surface of a sphere.) |
---|
[1963] | 835 | |
---|
[2882] | 836 | // For starters, compute the direction from center to surface of ellipse. |
---|
| 837 | // This is just the perpendicular (ie. rotate 2D vector by PI/2) of the swing axis. |
---|
| 838 | // (vSwingAxis is the cone rotation (in z,y); change vars and rotate to (x,y) coords.) |
---|
| 839 | btScalar xEllipse = vSwingAxis.y(); |
---|
| 840 | btScalar yEllipse = -vSwingAxis.z(); |
---|
[1963] | 841 | |
---|
[2882] | 842 | // Now, we use the slope of the vector (using x/yEllipse) and find the length |
---|
| 843 | // of the line that intersects the ellipse: |
---|
| 844 | // x^2 y^2 |
---|
| 845 | // --- + --- = 1, where a and b are semi-major axes 2 and 1 respectively (ie. the limits) |
---|
| 846 | // a^2 b^2 |
---|
| 847 | // Do the math and it should be clear. |
---|
[1963] | 848 | |
---|
[2882] | 849 | swingLimit = m_swingSpan1; // if xEllipse == 0, we have a pure vSwingAxis.z rotation: just use swingspan1 |
---|
| 850 | if (fabs(xEllipse) > SIMD_EPSILON) |
---|
| 851 | { |
---|
| 852 | btScalar surfaceSlope2 = (yEllipse*yEllipse)/(xEllipse*xEllipse); |
---|
| 853 | btScalar norm = 1 / (m_swingSpan2 * m_swingSpan2); |
---|
| 854 | norm += surfaceSlope2 / (m_swingSpan1 * m_swingSpan1); |
---|
| 855 | btScalar swingLimit2 = (1 + surfaceSlope2) / norm; |
---|
| 856 | swingLimit = sqrt(swingLimit2); |
---|
[1963] | 857 | } |
---|
| 858 | |
---|
[2882] | 859 | // test! |
---|
| 860 | /*swingLimit = m_swingSpan2; |
---|
| 861 | if (fabs(vSwingAxis.z()) > SIMD_EPSILON) |
---|
[1963] | 862 | { |
---|
[2882] | 863 | btScalar mag_2 = m_swingSpan1*m_swingSpan1 + m_swingSpan2*m_swingSpan2; |
---|
| 864 | btScalar sinphi = m_swingSpan2 / sqrt(mag_2); |
---|
| 865 | btScalar phi = asin(sinphi); |
---|
| 866 | btScalar theta = atan2(fabs(vSwingAxis.y()),fabs(vSwingAxis.z())); |
---|
| 867 | btScalar alpha = 3.14159f - theta - phi; |
---|
| 868 | btScalar sinalpha = sin(alpha); |
---|
| 869 | swingLimit = m_swingSpan1 * sinphi/sinalpha; |
---|
| 870 | }*/ |
---|
| 871 | } |
---|
| 872 | else if (swingAngle < 0) |
---|
| 873 | { |
---|
| 874 | // this should never happen! |
---|
| 875 | int wtf = 0; wtf = wtf; |
---|
| 876 | } |
---|
| 877 | } |
---|
[1963] | 878 | |
---|
[2882] | 879 | btVector3 btConeTwistConstraint::GetPointForAngle(btScalar fAngleInRadians, btScalar fLength) const |
---|
| 880 | { |
---|
| 881 | // compute x/y in ellipse using cone angle (0 -> 2*PI along surface of cone) |
---|
| 882 | btScalar xEllipse = btCos(fAngleInRadians); |
---|
| 883 | btScalar yEllipse = btSin(fAngleInRadians); |
---|
[1963] | 884 | |
---|
[2882] | 885 | // Use the slope of the vector (using x/yEllipse) and find the length |
---|
| 886 | // of the line that intersects the ellipse: |
---|
| 887 | // x^2 y^2 |
---|
| 888 | // --- + --- = 1, where a and b are semi-major axes 2 and 1 respectively (ie. the limits) |
---|
| 889 | // a^2 b^2 |
---|
| 890 | // Do the math and it should be clear. |
---|
[1963] | 891 | |
---|
[2882] | 892 | float swingLimit = m_swingSpan1; // if xEllipse == 0, just use axis b (1) |
---|
| 893 | if (fabs(xEllipse) > SIMD_EPSILON) |
---|
| 894 | { |
---|
| 895 | btScalar surfaceSlope2 = (yEllipse*yEllipse)/(xEllipse*xEllipse); |
---|
| 896 | btScalar norm = 1 / (m_swingSpan2 * m_swingSpan2); |
---|
| 897 | norm += surfaceSlope2 / (m_swingSpan1 * m_swingSpan1); |
---|
| 898 | btScalar swingLimit2 = (1 + surfaceSlope2) / norm; |
---|
| 899 | swingLimit = sqrt(swingLimit2); |
---|
| 900 | } |
---|
[1963] | 901 | |
---|
[2882] | 902 | // convert into point in constraint space: |
---|
| 903 | // note: twist is x-axis, swing 1 and 2 are along the z and y axes respectively |
---|
| 904 | btVector3 vSwingAxis(0, xEllipse, -yEllipse); |
---|
| 905 | btQuaternion qSwing(vSwingAxis, swingLimit); |
---|
| 906 | btVector3 vPointInConstraintSpace(fLength,0,0); |
---|
| 907 | return quatRotate(qSwing, vPointInConstraintSpace); |
---|
| 908 | } |
---|
| 909 | |
---|
| 910 | // given a twist rotation in constraint space, (pre: cone must already be removed) |
---|
| 911 | // this method computes its corresponding angle and axis. |
---|
| 912 | void btConeTwistConstraint::computeTwistLimitInfo(const btQuaternion& qTwist, |
---|
| 913 | btScalar& twistAngle, // out |
---|
| 914 | btVector3& vTwistAxis) // out |
---|
| 915 | { |
---|
| 916 | btQuaternion qMinTwist = qTwist; |
---|
| 917 | twistAngle = qTwist.getAngle(); |
---|
| 918 | |
---|
| 919 | if (twistAngle > SIMD_PI) // long way around. flip quat and recalculate. |
---|
| 920 | { |
---|
| 921 | qMinTwist = operator-(qTwist); |
---|
| 922 | twistAngle = qMinTwist.getAngle(); |
---|
[1963] | 923 | } |
---|
[2882] | 924 | if (twistAngle < 0) |
---|
| 925 | { |
---|
| 926 | // this should never happen |
---|
| 927 | int wtf = 0; wtf = wtf; |
---|
| 928 | } |
---|
[1963] | 929 | |
---|
[2882] | 930 | vTwistAxis = btVector3(qMinTwist.x(), qMinTwist.y(), qMinTwist.z()); |
---|
| 931 | if (twistAngle > SIMD_EPSILON) |
---|
| 932 | vTwistAxis.normalize(); |
---|
[1963] | 933 | } |
---|
| 934 | |
---|
[2882] | 935 | |
---|
| 936 | void btConeTwistConstraint::adjustSwingAxisToUseEllipseNormal(btVector3& vSwingAxis) const |
---|
[1963] | 937 | { |
---|
[2882] | 938 | // the swing axis is computed as the "twist-free" cone rotation, |
---|
| 939 | // but the cone limit is not circular, but elliptical (if swingspan1 != swingspan2). |
---|
| 940 | // so, if we're outside the limits, the closest way back inside the cone isn't |
---|
| 941 | // along the vector back to the center. better (and more stable) to use the ellipse normal. |
---|
[1963] | 942 | |
---|
[2882] | 943 | // convert swing axis to direction from center to surface of ellipse |
---|
| 944 | // (ie. rotate 2D vector by PI/2) |
---|
| 945 | btScalar y = -vSwingAxis.z(); |
---|
| 946 | btScalar z = vSwingAxis.y(); |
---|
| 947 | |
---|
| 948 | // do the math... |
---|
| 949 | if (fabs(z) > SIMD_EPSILON) // avoid division by 0. and we don't need an update if z == 0. |
---|
| 950 | { |
---|
| 951 | // compute gradient/normal of ellipse surface at current "point" |
---|
| 952 | btScalar grad = y/z; |
---|
| 953 | grad *= m_swingSpan2 / m_swingSpan1; |
---|
| 954 | |
---|
| 955 | // adjust y/z to represent normal at point (instead of vector to point) |
---|
| 956 | if (y > 0) |
---|
| 957 | y = fabs(grad * z); |
---|
| 958 | else |
---|
| 959 | y = -fabs(grad * z); |
---|
| 960 | |
---|
| 961 | // convert ellipse direction back to swing axis |
---|
| 962 | vSwingAxis.setZ(-y); |
---|
| 963 | vSwingAxis.setY( z); |
---|
| 964 | vSwingAxis.normalize(); |
---|
| 965 | } |
---|
[1963] | 966 | } |
---|
[2882] | 967 | |
---|
| 968 | |
---|
| 969 | |
---|
| 970 | void btConeTwistConstraint::setMotorTarget(const btQuaternion &q) |
---|
| 971 | { |
---|
| 972 | btTransform trACur = m_rbA.getCenterOfMassTransform(); |
---|
| 973 | btTransform trBCur = m_rbB.getCenterOfMassTransform(); |
---|
| 974 | btTransform trABCur = trBCur.inverse() * trACur; |
---|
| 975 | btQuaternion qABCur = trABCur.getRotation(); |
---|
| 976 | btTransform trConstraintCur = (trBCur * m_rbBFrame).inverse() * (trACur * m_rbAFrame); |
---|
| 977 | btQuaternion qConstraintCur = trConstraintCur.getRotation(); |
---|
| 978 | |
---|
| 979 | btQuaternion qConstraint = m_rbBFrame.getRotation().inverse() * q * m_rbAFrame.getRotation(); |
---|
| 980 | setMotorTargetInConstraintSpace(qConstraint); |
---|
| 981 | } |
---|
| 982 | |
---|
| 983 | |
---|
| 984 | void btConeTwistConstraint::setMotorTargetInConstraintSpace(const btQuaternion &q) |
---|
| 985 | { |
---|
| 986 | m_qTarget = q; |
---|
| 987 | |
---|
| 988 | // clamp motor target to within limits |
---|
| 989 | { |
---|
| 990 | btScalar softness = 1.f;//m_limitSoftness; |
---|
| 991 | |
---|
| 992 | // split into twist and cone |
---|
| 993 | btVector3 vTwisted = quatRotate(m_qTarget, vTwist); |
---|
| 994 | btQuaternion qTargetCone = shortestArcQuat(vTwist, vTwisted); qTargetCone.normalize(); |
---|
| 995 | btQuaternion qTargetTwist = qTargetCone.inverse() * m_qTarget; qTargetTwist.normalize(); |
---|
| 996 | |
---|
| 997 | // clamp cone |
---|
| 998 | if (m_swingSpan1 >= btScalar(0.05f) && m_swingSpan2 >= btScalar(0.05f)) |
---|
| 999 | { |
---|
| 1000 | btScalar swingAngle, swingLimit; btVector3 swingAxis; |
---|
| 1001 | computeConeLimitInfo(qTargetCone, swingAngle, swingAxis, swingLimit); |
---|
| 1002 | |
---|
| 1003 | if (fabs(swingAngle) > SIMD_EPSILON) |
---|
| 1004 | { |
---|
| 1005 | if (swingAngle > swingLimit*softness) |
---|
| 1006 | swingAngle = swingLimit*softness; |
---|
| 1007 | else if (swingAngle < -swingLimit*softness) |
---|
| 1008 | swingAngle = -swingLimit*softness; |
---|
| 1009 | qTargetCone = btQuaternion(swingAxis, swingAngle); |
---|
| 1010 | } |
---|
| 1011 | } |
---|
| 1012 | |
---|
| 1013 | // clamp twist |
---|
| 1014 | if (m_twistSpan >= btScalar(0.05f)) |
---|
| 1015 | { |
---|
| 1016 | btScalar twistAngle; btVector3 twistAxis; |
---|
| 1017 | computeTwistLimitInfo(qTargetTwist, twistAngle, twistAxis); |
---|
| 1018 | |
---|
| 1019 | if (fabs(twistAngle) > SIMD_EPSILON) |
---|
| 1020 | { |
---|
| 1021 | // eddy todo: limitSoftness used here??? |
---|
| 1022 | if (twistAngle > m_twistSpan*softness) |
---|
| 1023 | twistAngle = m_twistSpan*softness; |
---|
| 1024 | else if (twistAngle < -m_twistSpan*softness) |
---|
| 1025 | twistAngle = -m_twistSpan*softness; |
---|
| 1026 | qTargetTwist = btQuaternion(twistAxis, twistAngle); |
---|
| 1027 | } |
---|
| 1028 | } |
---|
| 1029 | |
---|
| 1030 | m_qTarget = qTargetCone * qTargetTwist; |
---|
| 1031 | } |
---|
| 1032 | } |
---|
| 1033 | |
---|
[8284] | 1034 | ///override the default global value of a parameter (such as ERP or CFM), optionally provide the axis (0..5). |
---|
| 1035 | ///If no axis is provided, it uses the default axis for this constraint. |
---|
| 1036 | void btConeTwistConstraint::setParam(int num, btScalar value, int axis) |
---|
| 1037 | { |
---|
| 1038 | switch(num) |
---|
| 1039 | { |
---|
| 1040 | case BT_CONSTRAINT_ERP : |
---|
| 1041 | case BT_CONSTRAINT_STOP_ERP : |
---|
| 1042 | if((axis >= 0) && (axis < 3)) |
---|
| 1043 | { |
---|
| 1044 | m_linERP = value; |
---|
| 1045 | m_flags |= BT_CONETWIST_FLAGS_LIN_ERP; |
---|
| 1046 | } |
---|
| 1047 | else |
---|
| 1048 | { |
---|
| 1049 | m_biasFactor = value; |
---|
| 1050 | } |
---|
| 1051 | break; |
---|
| 1052 | case BT_CONSTRAINT_CFM : |
---|
| 1053 | case BT_CONSTRAINT_STOP_CFM : |
---|
| 1054 | if((axis >= 0) && (axis < 3)) |
---|
| 1055 | { |
---|
| 1056 | m_linCFM = value; |
---|
| 1057 | m_flags |= BT_CONETWIST_FLAGS_LIN_CFM; |
---|
| 1058 | } |
---|
| 1059 | else |
---|
| 1060 | { |
---|
| 1061 | m_angCFM = value; |
---|
| 1062 | m_flags |= BT_CONETWIST_FLAGS_ANG_CFM; |
---|
| 1063 | } |
---|
| 1064 | break; |
---|
| 1065 | default: |
---|
| 1066 | btAssertConstrParams(0); |
---|
| 1067 | break; |
---|
| 1068 | } |
---|
| 1069 | } |
---|
[2882] | 1070 | |
---|
[8284] | 1071 | ///return the local value of parameter |
---|
| 1072 | btScalar btConeTwistConstraint::getParam(int num, int axis) const |
---|
| 1073 | { |
---|
| 1074 | btScalar retVal = 0; |
---|
| 1075 | switch(num) |
---|
| 1076 | { |
---|
| 1077 | case BT_CONSTRAINT_ERP : |
---|
| 1078 | case BT_CONSTRAINT_STOP_ERP : |
---|
| 1079 | if((axis >= 0) && (axis < 3)) |
---|
| 1080 | { |
---|
| 1081 | btAssertConstrParams(m_flags & BT_CONETWIST_FLAGS_LIN_ERP); |
---|
| 1082 | retVal = m_linERP; |
---|
| 1083 | } |
---|
| 1084 | else if((axis >= 3) && (axis < 6)) |
---|
| 1085 | { |
---|
| 1086 | retVal = m_biasFactor; |
---|
| 1087 | } |
---|
| 1088 | else |
---|
| 1089 | { |
---|
| 1090 | btAssertConstrParams(0); |
---|
| 1091 | } |
---|
| 1092 | break; |
---|
| 1093 | case BT_CONSTRAINT_CFM : |
---|
| 1094 | case BT_CONSTRAINT_STOP_CFM : |
---|
| 1095 | if((axis >= 0) && (axis < 3)) |
---|
| 1096 | { |
---|
| 1097 | btAssertConstrParams(m_flags & BT_CONETWIST_FLAGS_LIN_CFM); |
---|
| 1098 | retVal = m_linCFM; |
---|
| 1099 | } |
---|
| 1100 | else if((axis >= 3) && (axis < 6)) |
---|
| 1101 | { |
---|
| 1102 | btAssertConstrParams(m_flags & BT_CONETWIST_FLAGS_ANG_CFM); |
---|
| 1103 | retVal = m_angCFM; |
---|
| 1104 | } |
---|
| 1105 | else |
---|
| 1106 | { |
---|
| 1107 | btAssertConstrParams(0); |
---|
| 1108 | } |
---|
| 1109 | break; |
---|
| 1110 | default : |
---|
| 1111 | btAssertConstrParams(0); |
---|
| 1112 | } |
---|
| 1113 | return retVal; |
---|
| 1114 | } |
---|
[2882] | 1115 | |
---|
| 1116 | |
---|
[8284] | 1117 | |
---|