示例#1
0
		/*
		void solveConstraintObsolete( btSolverBody bodyA, btSolverBody bodyB, double timeStep )
		{
			if( m_useSolveConstraintObsolete )
			{
				btVector3 pivotAInW = m_rbA.m_worldTransform * m_rbAFrame.m_origin;
				btVector3 pivotBInW = m_rbB.m_worldTransform * m_rbBFrame.m_origin;

				double tau = (double)( 0.3 );

				//linear part
				if( !m_angularOnly )
				{
					btVector3 rel_pos1 = pivotAInW - m_rbA.m_worldTransform.m_origin;
					btVector3 rel_pos2 = pivotBInW - m_rbB.m_worldTransform.m_origin;

					btVector3 vel1;
					bodyA.internalGetVelocityInLocalPointObsolete( rel_pos1, vel1 );
					btVector3 vel2;
					bodyB.internalGetVelocityInLocalPointObsolete( rel_pos2, vel2 );
					btVector3 vel = vel1 - vel2;

					for( int i = 0; i < 3; i++ )
					{		
						btIVector3 normal = m_jac[i].m_linearJointAxis;
						double jacDiagABInv = btScalar.BT_ONE / m_jac[i].getDiagonal();

						double rel_vel;
						rel_vel = normal.dot( vel );
						//positional error (zeroth order error)
						double depth = -( pivotAInW - pivotBInW ).dot( normal ); //this is the error projected on the normal
						double impulse = depth * tau / timeStep * jacDiagABInv - rel_vel * jacDiagABInv;
						m_appliedImpulse += impulse;

						btVector3 ftorqueAxis1 = rel_pos1.cross( normal );
						btVector3 ftorqueAxis2 = rel_pos2.cross( normal );
						bodyA.internalApplyImpulse( normal * m_rbA.getInvMass(), m_rbA.m_invInertiaTensorWorld * ftorqueAxis1, impulse );
						bodyB.internalApplyImpulse( normal * m_rbB.getInvMass(), m_rbB.m_invInertiaTensorWorld * ftorqueAxis2, -impulse );

					}
				}

				// apply motor
				if( m_bMotorEnabled )
				{
					// compute current and predicted transforms
					btTransform trACur = m_rbA.m_worldTransform;
					btTransform trBCur = m_rbB.m_worldTransform;
					btVector3 omegaA; bodyA.internalGetAngularVelocity( omegaA );
					btVector3 omegaB; bodyB.internalGetAngularVelocity( omegaB );
					btTransform trAPred; trAPred.setIdentity();
					btVector3 zerovec( 0, 0, 0);
					btTransformUtil::integrateTransform(
						trACur, zerovec, omegaA, timeStep, trAPred );
					btTransform trBPred; trBPred.setIdentity();
					btTransformUtil::integrateTransform(
						trBCur, zerovec, omegaB, timeStep, trBPred );

					// compute desired transforms in world
					btTransform trPose( m_qTarget );
					btTransform trABDes = m_rbBFrame * trPose * m_rbAFrame.inverse();
					btTransform trADes = trBPred * trABDes;
					btTransform trBDes = trAPred * trABDes.inverse();

					// compute desired omegas in world
					btVector3 omegaADes, omegaBDes;

					btTransformUtil::calculateVelocity( trACur, trADes, timeStep, zerovec, omegaADes );
					btTransformUtil::calculateVelocity( trBCur, trBDes, timeStep, zerovec, omegaBDes );

					// compute delta omegas
					btVector3 dOmegaA = omegaADes - omegaA;
					btVector3 dOmegaB = omegaBDes - omegaB;

					// compute weighted avg axis of dOmega (weighting based on inertias)
					btVector3 axisA, axisB;
					double kAxisAInv = 0, kAxisBInv = 0;

					if( dOmegaA.length2() > btScalar.SIMD_EPSILON )
					{
						axisA = dOmegaA.normalized();
						kAxisAInv = m_rbA.computeAngularImpulseDenominator( axisA );
					}

					if( dOmegaB.length2() > btScalar.SIMD_EPSILON )
					{
						axisB = dOmegaB.normalized();
						kAxisBInv = m_rbB.computeAngularImpulseDenominator( axisB );
					}

					btVector3 avgAxis = kAxisAInv * axisA + kAxisBInv * axisB;

					static bool bDoTorque = true;
					if( bDoTorque & avgAxis.length2() > btScalar.SIMD_EPSILON )
					{
						avgAxis.normalize();
						kAxisAInv = m_rbA.computeAngularImpulseDenominator( avgAxis );
						kAxisBInv = m_rbB.computeAngularImpulseDenominator( avgAxis );
						double kInvCombined = kAxisAInv + kAxisBInv;

						btVector3 impulse = ( kAxisAInv * dOmegaA - kAxisBInv * dOmegaB ) /
											( kInvCombined * kInvCombined );

						if( m_maxMotorImpulse >= 0 )
						{
							double fMaxImpulse = m_maxMotorImpulse;
							if( m_bNormalizedMotorStrength )
								fMaxImpulse = fMaxImpulse / kAxisAInv;

							btVector3 newUnclampedAccImpulse = m_accMotorImpulse + impulse;
							double newUnclampedMag = newUnclampedAccImpulse.length();
							if( newUnclampedMag > fMaxImpulse )
							{
								newUnclampedAccImpulse.normalize();
								newUnclampedAccImpulse *= fMaxImpulse;
								impulse = newUnclampedAccImpulse - m_accMotorImpulse;
							}
							m_accMotorImpulse += impulse;
						}

						double impulseMag = impulse.length();
						btVector3 impulseAxis = impulse / impulseMag;

						bodyA.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbA.m_invInertiaTensorWorld * impulseAxis, impulseMag );
						bodyB.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbB.m_invInertiaTensorWorld * impulseAxis, -impulseMag );

					}
				}
				else if( m_damping > btScalar.SIMD_EPSILON ) // no motor: do a little damping
				{
					btVector3 angVelA; bodyA.internalGetAngularVelocity( angVelA );
					btVector3 angVelB; bodyB.internalGetAngularVelocity( angVelB );
					btVector3 relVel = angVelB - angVelA;
					if( relVel.length2() > btScalar.SIMD_EPSILON )
					{
						btVector3 relVelAxis = relVel.normalized();
						double m_kDamping = btScalar.BT_ONE /
							( m_rbA.computeAngularImpulseDenominator( relVelAxis ) +
							 m_rbB.computeAngularImpulseDenominator( relVelAxis ) );
						btVector3 impulse = m_damping * m_kDamping * relVel;

						double impulseMag = impulse.length();
						btVector3 impulseAxis = impulse / impulseMag;
						bodyA.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbA.m_invInertiaTensorWorld * impulseAxis, impulseMag );
						bodyB.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbB.m_invInertiaTensorWorld * impulseAxis, -impulseMag );
					}
				}

				// joint limits
				{
					///solve angular part
					btVector3 angVelA;
					bodyA.internalGetAngularVelocity( angVelA );
					btVector3 angVelB;
					bodyB.internalGetAngularVelocity( angVelB );

					// solve swing limit
					if( m_solveSwingLimit )
					{
						double amplitude = m_swingLimitRatio * m_swingCorrection * m_biasFactor / timeStep;
						double relSwingVel = ( angVelB - angVelA ).dot( m_swingAxis );
						if( relSwingVel > 0 )
							amplitude += m_swingLimitRatio * relSwingVel * m_relaxationFactor;
						double impulseMag = amplitude * m_kSwing;

						// Clamp the accumulated impulse
						double temp = m_accSwingLimitImpulse;
						m_accSwingLimitImpulse = btMax( m_accSwingLimitImpulse + impulseMag, (double)( 0.0 ) );
						impulseMag = m_accSwingLimitImpulse - temp;

						btVector3 impulse = m_swingAxis * impulseMag;

						// don't let cone response affect twist
						// (this can happen since body A's twist doesn't match body B's AND we use an elliptical cone limit)
						{
							btVector3 impulseTwistCouple = impulse.dot( m_twistAxisA ) * m_twistAxisA;
							btVector3 impulseNoTwistCouple = impulse - impulseTwistCouple;
							impulse = impulseNoTwistCouple;
						}

						impulseMag = impulse.length();
						btVector3 noTwistSwingAxis = impulse / impulseMag;

						bodyA.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbA.m_invInertiaTensorWorld * noTwistSwingAxis, impulseMag );
						bodyB.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbB.m_invInertiaTensorWorld * noTwistSwingAxis, -impulseMag );
					}


					// solve twist limit
					if( m_solveTwistLimit )
					{
						double amplitude = m_twistLimitRatio * m_twistCorrection * m_biasFactor / timeStep;
						double relTwistVel = ( angVelB - angVelA ).dot( m_twistAxis );
						if( relTwistVel > 0 ) // only damp when moving towards limit (m_twistAxis flipping is important)
							amplitude += m_twistLimitRatio * relTwistVel * m_relaxationFactor;
						double impulseMag = amplitude * m_kTwist;

						// Clamp the accumulated impulse
						double temp = m_accTwistLimitImpulse;
						m_accTwistLimitImpulse = btMax( m_accTwistLimitImpulse + impulseMag, (double)( 0.0 ) );
						impulseMag = m_accTwistLimitImpulse - temp;

						//		btVector3 impulse = m_twistAxis * impulseMag;

						bodyA.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbA.m_invInertiaTensorWorld * m_twistAxis, impulseMag );
						bodyB.internalApplyImpulse( btVector3( 0, 0, 0 ), m_rbB.m_invInertiaTensorWorld * m_twistAxis, -impulseMag );
					}
				}
			}
		}
		*/



		/*
		void calcAngleInfo()
		{
			m_swingCorrection = btScalar.BT_ZERO;
			m_twistLimitSign = btScalar.BT_ZERO;
			m_solveTwistLimit = false;
			m_solveSwingLimit = false;

			btVector3 b1Axis1 = btVector3.Zero,b1Axis2 = btVector3.Zero, b1Axis3 = btVector3.Zero;
			btVector3 b2Axis1 = btVector3.Zero, b2Axis2 = btVector3.Zero;

			b1Axis1 = m_rbA.m_worldTransform.m_basis * this.m_rbAFrame.m_basis.getColumn( 0 );
			b2Axis1 = m_rbB.m_worldTransform.m_basis * this.m_rbBFrame.m_basis.getColumn( 0 );

			double swing1 = btScalar.BT_ZERO, swing2 = btScalar.BT_ZERO;

			double swx = btScalar.BT_ZERO, swy = btScalar.BT_ZERO;
			double thresh = 10;
			double fact;

			// Get Frame into world space
			if( m_swingSpan1 >= (double)( 0.05f ) )
			{
				b1Axis2 = m_rbA.m_worldTransform.m_basis * this.m_rbAFrame.m_basis.getColumn( 1 );
				swx = b2Axis1.dot( b1Axis1 );
				swy = b2Axis1.dot( b1Axis2 );
				swing1 = btScalar.btAtan2Fast( swy, swx );
				fact = ( swy * swy + swx * swx ) * thresh * thresh;
				fact = fact / ( fact + (double)( 1.0 ) );
				swing1 *= fact;
			}

			if( m_swingSpan2 >= (double)( 0.05f ) )
			{
				b1Axis3 = m_rbA.m_worldTransform.m_basis * this.m_rbAFrame.m_basis.getColumn( 2 );
				swx = b2Axis1.dot( b1Axis1 );
				swy = b2Axis1.dot( b1Axis3 );
				swing2 = btScalar.btAtan2Fast( swy, swx );
				fact = ( swy * swy + swx * swx ) * thresh * thresh;
				fact = fact / ( fact + (double)( 1.0 ) );
				swing2 *= fact;
			}

			double RMaxAngle1Sq = 1.0f / ( m_swingSpan1 * m_swingSpan1 );
			double RMaxAngle2Sq = 1.0f / ( m_swingSpan2 * m_swingSpan2 );
			double EllipseAngle = btScalar.btFabs( swing1 * swing1 ) * RMaxAngle1Sq + btScalar.btFabs( swing2 * swing2 ) * RMaxAngle2Sq;

			if( EllipseAngle > 1.0f )
			{
				m_swingCorrection = EllipseAngle - 1.0f;
				m_solveSwingLimit = true;
				// Calculate necessary axis & factors
				m_swingAxis = b2Axis1.cross( b1Axis2 * b2Axis1.dot( b1Axis2 ) + b1Axis3 * b2Axis1.dot( b1Axis3 ) );
				m_swingAxis.normalize();
				double swingAxisSign = ( b2Axis1.dot( b1Axis1 ) >= 0.0f ) ? 1.0f : -1.0f;
				m_swingAxis *= swingAxisSign;
			}

			// Twist limits
			if( m_twistSpan >= btScalar.BT_ZERO )
			{
				btVector3 b2Axis2 = m_rbB.m_worldTransform.m_basis * this.m_rbBFrame.m_basis.getColumn( 1 );
				btQuaternion rotationArc = btQuaternion.shortestArcQuat( b2Axis1, b1Axis1 );
				btVector3 TwistRef = btQuaternion.quatRotate( rotationArc, b2Axis2 );
				double twist = btScalar.btAtan2Fast( TwistRef.dot( b1Axis3 ), TwistRef.dot( b1Axis2 ) );
				m_twistAngle = twist;

				//		double lockedFreeFactor = (m_twistSpan > (double)(0.05f)) ? m_limitSoftness : btScalar.BT_ZERO;
				double lockedFreeFactor = ( m_twistSpan > (double)( 0.05f ) ) ? (double)( 1.0f ) : btScalar.BT_ZERO;
				if( twist <= -m_twistSpan * lockedFreeFactor )
				{
					m_twistCorrection = -( twist + m_twistSpan );
					m_solveTwistLimit = true;
					m_twistAxis = ( b2Axis1 + b1Axis1 ) * 0.5f;
					m_twistAxis.normalize();
					m_twistAxis *= -1.0f;
				}
				else if( twist > m_twistSpan * lockedFreeFactor )
				{
					m_twistCorrection = ( twist - m_twistSpan );
					m_solveTwistLimit = true;
					m_twistAxis = ( b2Axis1 + b1Axis1 ) * 0.5f;
					m_twistAxis.normalize();
				}
			}
		}

		*/


		void calcAngleInfo2( ref btTransform transA, ref btTransform transB, ref btMatrix3x3 invInertiaWorldA, ref btMatrix3x3 invInertiaWorldB )
		{
			m_swingCorrection = btScalar.BT_ZERO;
			m_twistLimitSign = btScalar.BT_ZERO;
			m_solveTwistLimit = false;
			m_solveSwingLimit = false;
			// compute rotation of A wrt B (in constraint space)
			if( m_bMotorEnabled && ( !m_useSolveConstraintObsolete ) )
			{   // it is assumed that setMotorTarget() was alredy called 
				// and motor target m_qTarget is within constraint limits
				// TODO : split rotation to pure swing and pure twist
				// compute desired transforms in world
				btTransform trPose = new btTransform( ref m_qTarget );
				btTransform trA; transA.Apply( ref m_rbAFrame, out trA );
				btTransform trB; transB.Apply( ref m_rbBFrame, out trB );
				btTransform tmp;
				btTransform trAInv;
				trA.inverse( out trAInv );
				trB.Apply( ref trPose, out tmp );
				btTransform trDeltaAB;// = trB * trPose * trA.inverse();
				tmp.Apply( ref trAInv, out trDeltaAB );
				btQuaternion qDeltaAB; trDeltaAB.getRotation( out qDeltaAB );
				btVector3 swingAxis = new btVector3( qDeltaAB.x, qDeltaAB.y, qDeltaAB.z );
				double swingAxisLen2 = swingAxis.length2();
				if( btScalar.btFuzzyZero( swingAxisLen2 ) )
				{
					return;
				}
				m_swingAxis = swingAxis;
				m_swingAxis.normalize();
				m_swingCorrection = qDeltaAB.getAngle();
				if( !btScalar.btFuzzyZero( m_swingCorrection ) )
				{
					m_solveSwingLimit = true;
				}
				return;
			}


			{
				// compute rotation of A wrt B (in constraint space)
				btQuaternion tmpA;
				transA.getRotation( out tmpA );
				btQuaternion tmpAFrame;
				m_rbAFrame.getRotation( out tmpAFrame );
				btQuaternion qA; tmpA.Mult( ref tmpAFrame, out qA );
				transB.getRotation( out tmpA );
				m_rbBFrame.getRotation( out tmpAFrame );
				btQuaternion qB; tmpA.Mult( ref tmpAFrame, out qB );// transB.getRotation() * m_rbBFrame.getRotation();
				btQuaternion qBInv;
				qB.inverse( out qBInv );
				btQuaternion qAB; qBInv.Mult( ref qA, out qAB );
				// split rotation into cone and twist
				// (all this is done from B's perspective. Maybe I should be averaging axes...)
				btVector3 vConeNoTwist; btQuaternion.quatRotate( ref qAB, ref vTwist, out vConeNoTwist ); vConeNoTwist.normalize();
				btQuaternion qABCone; btQuaternion.shortestArcQuat( ref vTwist, ref vConeNoTwist, out qABCone ); qABCone.normalize();
				btQuaternion qABInv;
				qABCone.inverse( out qABInv );
				btQuaternion qABTwist; qABInv.Mult( ref qAB, out qABTwist ); qABTwist.normalize();

				if( m_swingSpan1 >= m_fixThresh && m_swingSpan2 >= m_fixThresh )
				{
					double swingAngle, swingLimit = 0;
					btVector3 swingAxis;
					computeConeLimitInfo( ref qABCone, out swingAngle, out swingAxis, out swingLimit );

					if( swingAngle > swingLimit * m_limitSoftness )
					{
						m_solveSwingLimit = true;

						// compute limit ratio: 0.1, where
						// 0 == beginning of soft limit
						// 1 == hard/real limit
						m_swingLimitRatio = 1;
						if( swingAngle < swingLimit && m_limitSoftness < 1 - btScalar.SIMD_EPSILON )
						{
							m_swingLimitRatio = ( swingAngle - swingLimit * m_limitSoftness ) /
												( swingLimit - swingLimit * m_limitSoftness );
						}

						// swing correction tries to get back to soft limit
						m_swingCorrection = swingAngle - ( swingLimit * m_limitSoftness );

						// adjustment of swing axis (based on ellipse normal)
						adjustSwingAxisToUseEllipseNormal( ref swingAxis );

						// Calculate necessary axis & factors		
						btVector3 swingAxisInv;
						swingAxis.Invert( out swingAxisInv );
						btQuaternion.quatRotate( ref qB, ref swingAxisInv, out m_swingAxis );

						m_twistAxisA.setValue( 0, 0, 0 );

						m_kSwing = btScalar.BT_ONE /
							( computeAngularImpulseDenominator( ref m_swingAxis, invInertiaWorldA ) +
							 computeAngularImpulseDenominator( ref m_swingAxis, invInertiaWorldB ) );
					}
				}
				else
				{
					// you haven't set any limits;
					// or you're trying to set at least one of the swing limits too small. (if so, do you really want a conetwist constraint?)
					// anyway, we have either hinge or fixed joint
					btVector3 ivA = transA.m_basis * m_rbAFrame.m_basis.getColumn( 0 );
					btVector3 jvA = transA.m_basis * m_rbAFrame.m_basis.getColumn( 1 );
					btVector3 kvA = transA.m_basis * m_rbAFrame.m_basis.getColumn( 2 );
					btVector3 ivB = transB.m_basis * m_rbBFrame.m_basis.getColumn( 0 );
					btVector3 target;
					double x = ivB.dot( ivA );
					double y = ivB.dot( jvA );
					double z = ivB.dot( kvA );
					if( ( m_swingSpan1 < m_fixThresh ) && ( m_swingSpan2 < m_fixThresh ) )
					{ // fixed. We'll need to add one more row to constraint
						if( ( !btScalar.btFuzzyZero( y ) ) || ( !( btScalar.btFuzzyZero( z ) ) ) )
						{
							m_solveSwingLimit = true;
							m_swingAxis = -ivB.cross( ivA );
						}
					}
					else
					{
						if( m_swingSpan1 < m_fixThresh )
						{ // hinge around Y axis
						  //					if(!(btFuzzyZero(y)))
							if( ( !( btScalar.btFuzzyZero( x ) ) ) || ( !( btScalar.btFuzzyZero( z ) ) ) )
							{
								m_solveSwingLimit = true;
								if( m_swingSpan2 >= m_fixThresh )
								{
									y = (double)( 0 );
									double span2 = btScalar.btAtan2( z, x );
									if( span2 > m_swingSpan2 )
									{
										x = btScalar.btCos( m_swingSpan2 );
										z = btScalar.btSin( m_swingSpan2 );
									}
									else if( span2 < -m_swingSpan2 )
									{
										x = btScalar.btCos( m_swingSpan2 );
										z = -btScalar.btSin( m_swingSpan2 );
									}
								}
							}
						}
						else
						{ // hinge around Z axis
						  //					if(!btFuzzyZero(z))
							if( ( !( btScalar.btFuzzyZero( x ) ) ) || ( !( btScalar.btFuzzyZero( y ) ) ) )
							{
								m_solveSwingLimit = true;
								if( m_swingSpan1 >= m_fixThresh )
								{
									z = (double)( 0 );
									double span1 = btScalar.btAtan2( y, x );
									if( span1 > m_swingSpan1 )
									{
										x = btScalar.btCos( m_swingSpan1 );
										y = btScalar.btSin( m_swingSpan1 );
									}
									else if( span1 < -m_swingSpan1 )
									{
										x = btScalar.btCos( m_swingSpan1 );
										y = -btScalar.btSin( m_swingSpan1 );
									}
								}
							}
						}
						target.x = x * ivA[0] + y * jvA[0] + z * kvA[0];
						target.y = x * ivA[1] + y * jvA[1] + z * kvA[1];
						target.z = x * ivA[2] + y * jvA[2] + z * kvA[2];
						target.w = 0;
						target.normalize();
						m_swingAxis = -ivB.cross( target );
						m_swingCorrection = m_swingAxis.length();

						if( !btScalar.btFuzzyZero( m_swingCorrection ) )
							m_swingAxis.normalize();
					}
				}

				if( m_twistSpan >= (double)( 0 ) )
				{
					btVector3 twistAxis;
					computeTwistLimitInfo( ref qABTwist, out m_twistAngle, out twistAxis );
					twistAxis.Invert( out twistAxis );

					if( m_twistAngle > m_twistSpan * m_limitSoftness )
					{
						m_solveTwistLimit = true;

						m_twistLimitRatio = 1;
						if( m_twistAngle < m_twistSpan && m_limitSoftness < 1 - btScalar.SIMD_EPSILON )
						{
							m_twistLimitRatio = ( m_twistAngle - m_twistSpan * m_limitSoftness ) /
												( m_twistSpan - m_twistSpan * m_limitSoftness );
						}

						// twist correction tries to get back to soft limit
						m_twistCorrection = m_twistAngle - ( m_twistSpan * m_limitSoftness );

						btQuaternion.quatRotate( ref qB, ref twistAxis, out m_twistAxis );

						m_kTwist = btScalar.BT_ONE /
							( computeAngularImpulseDenominator( ref m_twistAxis, invInertiaWorldA ) +
							 computeAngularImpulseDenominator( ref m_twistAxis, invInertiaWorldB ) );
					}

					if( m_solveSwingLimit )
					{
						btQuaternion.quatRotate( ref qA, ref twistAxis, out m_twistAxisA );
					}
				}
				else
				{
					m_twistAngle = (double)( 0 );
				}
			}
		}