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/*
* PURPOSE:
* Class representing an articulated rigid body. Stores the body's
* current state, allows forces and torques to be set, handles
* timestepping and implements Featherstone's algorithm.
*
* COPYRIGHT:
* Copyright (C) Stephen Thompson, <stephen@solarflare.org.uk>, 2011-2013
* Portions written By Erwin Coumans: connection to LCP solver, various multibody constraints, replacing Eigen math library by Bullet LinearMath and a dedicated 6x6 matrix inverse (solveImatrix)
* Portions written By Jakub Stepien: support for multi-DOF constraints, introduction of spatial algebra and several other improvements
This software is provided 'as-is', without any express or implied warranty.
In no event will the authors be held liable for any damages arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it freely,
subject to the following restrictions:
1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
*/
#ifndef BT_MULTIBODY_H
#define BT_MULTIBODY_H
#include "LinearMath/btScalar.h"
#include "LinearMath/btVector3.h"
#include "LinearMath/btQuaternion.h"
#include "LinearMath/btMatrix3x3.h"
#include "LinearMath/btAlignedObjectArray.h"
///serialization data, don't change them if you are not familiar with the details of the serialization mechanisms
#ifdef BT_USE_DOUBLE_PRECISION
#define btMultiBodyData btMultiBodyDoubleData
#define btMultiBodyDataName "btMultiBodyDoubleData"
#define btMultiBodyLinkData btMultiBodyLinkDoubleData
#define btMultiBodyLinkDataName "btMultiBodyLinkDoubleData"
#else
#define btMultiBodyData btMultiBodyFloatData
#define btMultiBodyDataName "btMultiBodyFloatData"
#define btMultiBodyLinkData btMultiBodyLinkFloatData
#define btMultiBodyLinkDataName "btMultiBodyLinkFloatData"
#endif //BT_USE_DOUBLE_PRECISION
#include "btMultiBodyLink.h"
class btMultiBodyLinkCollider;
ATTRIBUTE_ALIGNED16(class) btMultiBody
{
public:
BT_DECLARE_ALIGNED_ALLOCATOR();
//
// initialization
//
btMultiBody(int n_links, // NOT including the base
btScalar mass, // mass of base
const btVector3 &inertia, // inertia of base, in base frame; assumed diagonal
bool fixedBase, // whether the base is fixed (true) or can move (false)
bool canSleep, bool deprecatedMultiDof=true);
virtual ~btMultiBody();
//note: fixed link collision with parent is always disabled
void setupFixed(int linkIndex,
btScalar mass,
const btVector3 &inertia,
int parent,
const btQuaternion &rotParentToThis,
const btVector3 &parentComToThisPivotOffset,
const btVector3 &thisPivotToThisComOffset, bool deprecatedDisableParentCollision=true);
void setupPrismatic(int i,
btScalar mass,
const btVector3 &inertia,
int parent,
const btQuaternion &rotParentToThis,
const btVector3 &jointAxis,
const btVector3 &parentComToThisPivotOffset,
const btVector3 &thisPivotToThisComOffset,
bool disableParentCollision);
void setupRevolute(int linkIndex, // 0 to num_links-1
btScalar mass,
const btVector3 &inertia,
int parentIndex,
const btQuaternion &rotParentToThis, // rotate points in parent frame to this frame, when q = 0
const btVector3 &jointAxis, // in my frame
const btVector3 &parentComToThisPivotOffset, // vector from parent COM to joint axis, in PARENT frame
const btVector3 &thisPivotToThisComOffset, // vector from joint axis to my COM, in MY frame
bool disableParentCollision=false);
void setupSpherical(int linkIndex, // 0 to num_links-1
btScalar mass,
const btVector3 &inertia,
int parent,
const btQuaternion &rotParentToThis, // rotate points in parent frame to this frame, when q = 0
const btVector3 &parentComToThisPivotOffset, // vector from parent COM to joint axis, in PARENT frame
const btVector3 &thisPivotToThisComOffset, // vector from joint axis to my COM, in MY frame
bool disableParentCollision=false);
void setupPlanar(int i, // 0 to num_links-1
btScalar mass,
const btVector3 &inertia,
int parent,
const btQuaternion &rotParentToThis, // rotate points in parent frame to this frame, when q = 0
const btVector3 &rotationAxis,
const btVector3 &parentComToThisComOffset, // vector from parent COM to this COM, in PARENT frame
bool disableParentCollision=false);
const btMultibodyLink& getLink(int index) const
{
return m_links[index];
}
btMultibodyLink& getLink(int index)
{
return m_links[index];
}
void setBaseCollider(btMultiBodyLinkCollider* collider)//collider can be NULL to disable collision for the base
{
m_baseCollider = collider;
}
const btMultiBodyLinkCollider* getBaseCollider() const
{
return m_baseCollider;
}
btMultiBodyLinkCollider* getBaseCollider()
{
return m_baseCollider;
}
btMultiBodyLinkCollider* getLinkCollider(int index)
{
if (index >= 0 && index < getNumLinks())
{
return getLink(index).m_collider;
}
return 0;
}
//
// get parent
// input: link num from 0 to num_links-1
// output: link num from 0 to num_links-1, OR -1 to mean the base.
//
int getParent(int link_num) const;
//
// get number of m_links, masses, moments of inertia
//
int getNumLinks() const { return m_links.size(); }
int getNumDofs() const { return m_dofCount; }
int getNumPosVars() const { return m_posVarCnt; }
btScalar getBaseMass() const { return m_baseMass; }
const btVector3 & getBaseInertia() const { return m_baseInertia; }
btScalar getLinkMass(int i) const;
const btVector3 & getLinkInertia(int i) const;
//
// change mass (incomplete: can only change base mass and inertia at present)
//
void setBaseMass(btScalar mass) { m_baseMass = mass; }
void setBaseInertia(const btVector3 &inertia) { m_baseInertia = inertia; }
//
// get/set pos/vel/rot/omega for the base link
//
const btVector3 & getBasePos() const { return m_basePos; } // in world frame
const btVector3 getBaseVel() const
{
return btVector3(m_realBuf[3],m_realBuf[4],m_realBuf[5]);
} // in world frame
const btQuaternion & getWorldToBaseRot() const
{
return m_baseQuat;
} // rotates world vectors into base frame
btVector3 getBaseOmega() const { return btVector3(m_realBuf[0],m_realBuf[1],m_realBuf[2]); } // in world frame
void setBasePos(const btVector3 &pos)
{
m_basePos = pos;
}
void setBaseWorldTransform(const btTransform& tr)
{
setBasePos(tr.getOrigin());
setWorldToBaseRot(tr.getRotation().inverse());
}
btTransform getBaseWorldTransform() const
{
btTransform tr;
tr.setOrigin(getBasePos());
tr.setRotation(getWorldToBaseRot().inverse());
return tr;
}
void setBaseVel(const btVector3 &vel)
{
m_realBuf[3]=vel[0]; m_realBuf[4]=vel[1]; m_realBuf[5]=vel[2];
}
void setWorldToBaseRot(const btQuaternion &rot)
{
m_baseQuat = rot; //m_baseQuat asumed to ba alias!?
}
void setBaseOmega(const btVector3 &omega)
{
m_realBuf[0]=omega[0];
m_realBuf[1]=omega[1];
m_realBuf[2]=omega[2];
}
//
// get/set pos/vel for child m_links (i = 0 to num_links-1)
//
btScalar getJointPos(int i) const;
btScalar getJointVel(int i) const;
btScalar * getJointVelMultiDof(int i);
btScalar * getJointPosMultiDof(int i);
const btScalar * getJointVelMultiDof(int i) const ;
const btScalar * getJointPosMultiDof(int i) const ;
void setJointPos(int i, btScalar q);
void setJointVel(int i, btScalar qdot);
void setJointPosMultiDof(int i, btScalar *q);
void setJointVelMultiDof(int i, btScalar *qdot);
//
// direct access to velocities as a vector of 6 + num_links elements.
// (omega first, then v, then joint velocities.)
//
const btScalar * getVelocityVector() const
{
return &m_realBuf[0];
}
/* btScalar * getVelocityVector()
{
return &real_buf[0];
}
*/
//
// get the frames of reference (positions and orientations) of the child m_links
// (i = 0 to num_links-1)
//
const btVector3 & getRVector(int i) const; // vector from COM(parent(i)) to COM(i), in frame i's coords
const btQuaternion & getParentToLocalRot(int i) const; // rotates vectors in frame parent(i) to vectors in frame i.
//
// transform vectors in local frame of link i to world frame (or vice versa)
//
btVector3 localPosToWorld(int i, const btVector3 &vec) const;
btVector3 localDirToWorld(int i, const btVector3 &vec) const;
btVector3 worldPosToLocal(int i, const btVector3 &vec) const;
btVector3 worldDirToLocal(int i, const btVector3 &vec) const;
//
// transform a frame in local coordinate to a frame in world coordinate
//
btMatrix3x3 localFrameToWorld(int i, const btMatrix3x3 &mat) const;
//
// calculate kinetic energy and angular momentum
// useful for debugging.
//
btScalar getKineticEnergy() const;
btVector3 getAngularMomentum() const;
//
// set external forces and torques. Note all external forces/torques are given in the WORLD frame.
//
void clearForcesAndTorques();
void clearConstraintForces();
void clearVelocities();
void addBaseForce(const btVector3 &f)
{
m_baseForce += f;
}
void addBaseTorque(const btVector3 &t) { m_baseTorque += t; }
void addLinkForce(int i, const btVector3 &f);
void addLinkTorque(int i, const btVector3 &t);
void addBaseConstraintForce(const btVector3 &f)
{
m_baseConstraintForce += f;
}
void addBaseConstraintTorque(const btVector3 &t) { m_baseConstraintTorque += t; }
void addLinkConstraintForce(int i, const btVector3 &f);
void addLinkConstraintTorque(int i, const btVector3 &t);
void addJointTorque(int i, btScalar Q);
void addJointTorqueMultiDof(int i, int dof, btScalar Q);
void addJointTorqueMultiDof(int i, const btScalar *Q);
const btVector3 & getBaseForce() const { return m_baseForce; }
const btVector3 & getBaseTorque() const { return m_baseTorque; }
const btVector3 & getLinkForce(int i) const;
const btVector3 & getLinkTorque(int i) const;
btScalar getJointTorque(int i) const;
btScalar * getJointTorqueMultiDof(int i);
//
// dynamics routines.
//
// timestep the velocities (given the external forces/torques set using addBaseForce etc).
// also sets up caches for calcAccelerationDeltas.
//
// Note: the caller must provide three vectors which are used as
// temporary scratch space. The idea here is to reduce dynamic
// memory allocation: the same scratch vectors can be re-used
// again and again for different Multibodies, instead of each
// btMultiBody allocating (and then deallocating) their own
// individual scratch buffers. This gives a considerable speed
// improvement, at least on Windows (where dynamic memory
// allocation appears to be fairly slow).
//
void computeAccelerationsArticulatedBodyAlgorithmMultiDof(btScalar dt,
btAlignedObjectArray<btScalar> &scratch_r,
btAlignedObjectArray<btVector3> &scratch_v,
btAlignedObjectArray<btMatrix3x3> &scratch_m,
bool isConstraintPass=false
);
///stepVelocitiesMultiDof is deprecated, use computeAccelerationsArticulatedBodyAlgorithmMultiDof instead
void stepVelocitiesMultiDof(btScalar dt,
btAlignedObjectArray<btScalar> &scratch_r,
btAlignedObjectArray<btVector3> &scratch_v,
btAlignedObjectArray<btMatrix3x3> &scratch_m,
bool isConstraintPass=false)
{
computeAccelerationsArticulatedBodyAlgorithmMultiDof(dt,scratch_r,scratch_v,scratch_m,isConstraintPass);
}
// calcAccelerationDeltasMultiDof
// input: force vector (in same format as jacobian, i.e.:
// 3 torque values, 3 force values, num_links joint torque values)
// output: 3 omegadot values, 3 vdot values, num_links q_double_dot values
// (existing contents of output array are replaced)
// calcAccelerationDeltasMultiDof must have been called first.
void calcAccelerationDeltasMultiDof(const btScalar *force, btScalar *output,
btAlignedObjectArray<btScalar> &scratch_r,
btAlignedObjectArray<btVector3> &scratch_v) const;
void applyDeltaVeeMultiDof2(const btScalar * delta_vee, btScalar multiplier)
{
for (int dof = 0; dof < 6 + getNumDofs(); ++dof)
{
m_deltaV[dof] += delta_vee[dof] * multiplier;
}
}
void processDeltaVeeMultiDof2()
{
applyDeltaVeeMultiDof(&m_deltaV[0],1);
for (int dof = 0; dof < 6 + getNumDofs(); ++dof)
{
m_deltaV[dof] = 0.f;
}
}
void applyDeltaVeeMultiDof(const btScalar * delta_vee, btScalar multiplier)
{
//for (int dof = 0; dof < 6 + getNumDofs(); ++dof)
// printf("%.4f ", delta_vee[dof]*multiplier);
//printf("\n");
//btScalar sum = 0;
//for (int dof = 0; dof < 6 + getNumDofs(); ++dof)
//{
// sum += delta_vee[dof]*multiplier*delta_vee[dof]*multiplier;
//}
//btScalar l = btSqrt(sum);
//if (l>m_maxAppliedImpulse)
//{
// multiplier *= m_maxAppliedImpulse/l;
//}
for (int dof = 0; dof < 6 + getNumDofs(); ++dof)
{
m_realBuf[dof] += delta_vee[dof] * multiplier;
btClamp(m_realBuf[dof],-m_maxCoordinateVelocity,m_maxCoordinateVelocity);
}
}
// timestep the positions (given current velocities).
void stepPositionsMultiDof(btScalar dt, btScalar *pq = 0, btScalar *pqd = 0);
//
// contacts
//
// This routine fills out a contact constraint jacobian for this body.
// the 'normal' supplied must be -n for body1 or +n for body2 of the contact.
// 'normal' & 'contact_point' are both given in world coordinates.
void fillContactJacobianMultiDof(int link,
const btVector3 &contact_point,
const btVector3 &normal,
btScalar *jac,
btAlignedObjectArray<btScalar> &scratch_r,
btAlignedObjectArray<btVector3> &scratch_v,
btAlignedObjectArray<btMatrix3x3> &scratch_m) const { fillConstraintJacobianMultiDof(link, contact_point, btVector3(0, 0, 0), normal, jac, scratch_r, scratch_v, scratch_m); }
//a more general version of fillContactJacobianMultiDof which does not assume..
//.. that the constraint in question is contact or, to be more precise, constrains linear velocity only
void fillConstraintJacobianMultiDof(int link,
const btVector3 &contact_point,
const btVector3 &normal_ang,
const btVector3 &normal_lin,
btScalar *jac,
btAlignedObjectArray<btScalar> &scratch_r,
btAlignedObjectArray<btVector3> &scratch_v,
btAlignedObjectArray<btMatrix3x3> &scratch_m) const;
//
// sleeping
//
void setCanSleep(bool canSleep)
{
m_canSleep = canSleep;
}
bool getCanSleep()const
{
return m_canSleep;
}
bool isAwake() const { return m_awake; }
void wakeUp();
void goToSleep();
void checkMotionAndSleepIfRequired(btScalar timestep);
bool hasFixedBase() const
{
return m_fixedBase;
}
int getCompanionId() const
{
return m_companionId;
}
void setCompanionId(int id)
{
//printf("for %p setCompanionId(%d)\n",this, id);
m_companionId = id;
}
void setNumLinks(int numLinks)//careful: when changing the number of m_links, make sure to re-initialize or update existing m_links
{
m_links.resize(numLinks);
}
btScalar getLinearDamping() const
{
return m_linearDamping;
}
void setLinearDamping( btScalar damp)
{
m_linearDamping = damp;
}
btScalar getAngularDamping() const
{
return m_angularDamping;
}
void setAngularDamping( btScalar damp)
{
m_angularDamping = damp;
}
bool getUseGyroTerm() const
{
return m_useGyroTerm;
}
void setUseGyroTerm(bool useGyro)
{
m_useGyroTerm = useGyro;
}
btScalar getMaxCoordinateVelocity() const
{
return m_maxCoordinateVelocity ;
}
void setMaxCoordinateVelocity(btScalar maxVel)
{
m_maxCoordinateVelocity = maxVel;
}
btScalar getMaxAppliedImpulse() const
{
return m_maxAppliedImpulse;
}
void setMaxAppliedImpulse(btScalar maxImp)
{
m_maxAppliedImpulse = maxImp;
}
void setHasSelfCollision(bool hasSelfCollision)
{
m_hasSelfCollision = hasSelfCollision;
}
bool hasSelfCollision() const
{
return m_hasSelfCollision;
}
void finalizeMultiDof();
void useRK4Integration(bool use) { m_useRK4 = use; }
bool isUsingRK4Integration() const { return m_useRK4; }
void useGlobalVelocities(bool use) { m_useGlobalVelocities = use; }
bool isUsingGlobalVelocities() const { return m_useGlobalVelocities; }
bool isPosUpdated() const
{
return __posUpdated;
}
void setPosUpdated(bool updated)
{
__posUpdated = updated;
}
//internalNeedsJointFeedback is for internal use only
bool internalNeedsJointFeedback() const
{
return m_internalNeedsJointFeedback;
}
void forwardKinematics(btAlignedObjectArray<btQuaternion>& scratch_q,btAlignedObjectArray<btVector3>& scratch_m);
void compTreeLinkVelocities(btVector3 *omega, btVector3 *vel) const;
void updateCollisionObjectWorldTransforms(btAlignedObjectArray<btQuaternion>& scratch_q,btAlignedObjectArray<btVector3>& scratch_m);
virtual int calculateSerializeBufferSize() const;
///fills the dataBuffer and returns the struct name (and 0 on failure)
virtual const char* serialize(void* dataBuffer, class btSerializer* serializer) const;
const char* getBaseName() const
{
return m_baseName;
}
///memory of setBaseName needs to be manager by user
void setBaseName(const char* name)
{
m_baseName = name;
}
///users can point to their objects, userPointer is not used by Bullet
void* getUserPointer() const
{
return m_userObjectPointer;
}
int getUserIndex() const
{
return m_userIndex;
}
int getUserIndex2() const
{
return m_userIndex2;
}
///users can point to their objects, userPointer is not used by Bullet
void setUserPointer(void* userPointer)
{
m_userObjectPointer = userPointer;
}
///users can point to their objects, userPointer is not used by Bullet
void setUserIndex(int index)
{
m_userIndex = index;
}
void setUserIndex2(int index)
{
m_userIndex2 = index;
}
private:
btMultiBody(const btMultiBody &); // not implemented
void operator=(const btMultiBody &); // not implemented
void solveImatrix(const btVector3& rhs_top, const btVector3& rhs_bot, btScalar result[6]) const;
void solveImatrix(const btSpatialForceVector &rhs, btSpatialMotionVector &result) const;
void updateLinksDofOffsets()
{
int dofOffset = 0, cfgOffset = 0;
for(int bidx = 0; bidx < m_links.size(); ++bidx)
{
m_links[bidx].m_dofOffset = dofOffset; m_links[bidx].m_cfgOffset = cfgOffset;
dofOffset += m_links[bidx].m_dofCount; cfgOffset += m_links[bidx].m_posVarCount;
}
}
void mulMatrix(btScalar *pA, btScalar *pB, int rowsA, int colsA, int rowsB, int colsB, btScalar *pC) const;
private:
btMultiBodyLinkCollider* m_baseCollider;//can be NULL
const char* m_baseName;//memory needs to be manager by user!
btVector3 m_basePos; // position of COM of base (world frame)
btQuaternion m_baseQuat; // rotates world points into base frame
btScalar m_baseMass; // mass of the base
btVector3 m_baseInertia; // inertia of the base (in local frame; diagonal)
btVector3 m_baseForce; // external force applied to base. World frame.
btVector3 m_baseTorque; // external torque applied to base. World frame.
btVector3 m_baseConstraintForce; // external force applied to base. World frame.
btVector3 m_baseConstraintTorque; // external torque applied to base. World frame.
btAlignedObjectArray<btMultibodyLink> m_links; // array of m_links, excluding the base. index from 0 to num_links-1.
//
// realBuf:
// offset size array
// 0 6 + num_links v (base_omega; base_vel; joint_vels) MULTIDOF [sysdof x sysdof for D matrices (TOO MUCH!) + pos_delta which is sys-cfg sized]
// 6+num_links num_links D
//
// vectorBuf:
// offset size array
// 0 num_links h_top
// num_links num_links h_bottom
//
// matrixBuf:
// offset size array
// 0 num_links+1 rot_from_parent
//
btAlignedObjectArray<btScalar> m_deltaV;
btAlignedObjectArray<btScalar> m_realBuf;
btAlignedObjectArray<btVector3> m_vectorBuf;
btAlignedObjectArray<btMatrix3x3> m_matrixBuf;
btMatrix3x3 m_cachedInertiaTopLeft;
btMatrix3x3 m_cachedInertiaTopRight;
btMatrix3x3 m_cachedInertiaLowerLeft;
btMatrix3x3 m_cachedInertiaLowerRight;
bool m_cachedInertiaValid;
bool m_fixedBase;
// Sleep parameters.
bool m_awake;
bool m_canSleep;
btScalar m_sleepTimer;
void* m_userObjectPointer;
int m_userIndex2;
int m_userIndex;
int m_companionId;
btScalar m_linearDamping;
btScalar m_angularDamping;
bool m_useGyroTerm;
btScalar m_maxAppliedImpulse;
btScalar m_maxCoordinateVelocity;
bool m_hasSelfCollision;
bool __posUpdated;
int m_dofCount, m_posVarCnt;
bool m_useRK4, m_useGlobalVelocities;
///the m_needsJointFeedback gets updated/computed during the stepVelocitiesMultiDof and it for internal usage only
bool m_internalNeedsJointFeedback;
};
struct btMultiBodyLinkDoubleData
{
btQuaternionDoubleData m_zeroRotParentToThis;
btVector3DoubleData m_parentComToThisComOffset;
btVector3DoubleData m_thisPivotToThisComOffset;
btVector3DoubleData m_jointAxisTop[6];
btVector3DoubleData m_jointAxisBottom[6];
btVector3DoubleData m_linkInertia; // inertia of the base (in local frame; diagonal)
double m_linkMass;
int m_parentIndex;
int m_jointType;
int m_dofCount;
int m_posVarCount;
double m_jointPos[7];
double m_jointVel[6];
double m_jointTorque[6];
double m_jointDamping;
double m_jointFriction;
double m_jointLowerLimit;
double m_jointUpperLimit;
double m_jointMaxForce;
double m_jointMaxVelocity;
char *m_linkName;
char *m_jointName;
btCollisionObjectDoubleData *m_linkCollider;
char *m_paddingPtr;
};
struct btMultiBodyLinkFloatData
{
btQuaternionFloatData m_zeroRotParentToThis;
btVector3FloatData m_parentComToThisComOffset;
btVector3FloatData m_thisPivotToThisComOffset;
btVector3FloatData m_jointAxisTop[6];
btVector3FloatData m_jointAxisBottom[6];
btVector3FloatData m_linkInertia; // inertia of the base (in local frame; diagonal)
int m_dofCount;
float m_linkMass;
int m_parentIndex;
int m_jointType;
float m_jointPos[7];
float m_jointVel[6];
float m_jointTorque[6];
int m_posVarCount;
float m_jointDamping;
float m_jointFriction;
float m_jointLowerLimit;
float m_jointUpperLimit;
float m_jointMaxForce;
float m_jointMaxVelocity;
char *m_linkName;
char *m_jointName;
btCollisionObjectFloatData *m_linkCollider;
char *m_paddingPtr;
};
///do not change those serialization structures, it requires an updated sBulletDNAstr/sBulletDNAstr64
struct btMultiBodyDoubleData
{
btTransformDoubleData m_baseWorldTransform;
btVector3DoubleData m_baseInertia; // inertia of the base (in local frame; diagonal)
double m_baseMass;
char *m_baseName;
btMultiBodyLinkDoubleData *m_links;
btCollisionObjectDoubleData *m_baseCollider;
char *m_paddingPtr;
int m_numLinks;
char m_padding[4];
};
///do not change those serialization structures, it requires an updated sBulletDNAstr/sBulletDNAstr64
struct btMultiBodyFloatData
{
char *m_baseName;
btMultiBodyLinkFloatData *m_links;
btCollisionObjectFloatData *m_baseCollider;
btTransformFloatData m_baseWorldTransform;
btVector3FloatData m_baseInertia; // inertia of the base (in local frame; diagonal)
float m_baseMass;
int m_numLinks;
};
#endif
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