d8223ffa75
That year should bring the long-awaited OpenGL ES 3.0 compatible renderer
with state-of-the-art rendering techniques tuned to work as low as middle
end handheld devices - without compromising with the possibilities given
for higher end desktop games of course. Great times ahead for the Godot
community and the gamers that will play our games!
(cherry picked from commit c7bc44d5ad
)
471 lines
15 KiB
C++
471 lines
15 KiB
C++
/*************************************************************************/
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/* hinge_joint_sw.cpp */
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/*************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* http://www.godotengine.org */
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/*************************************************************************/
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/* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/*************************************************************************/
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/*
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Adapted to Godot from the Bullet library.
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See corresponding header file for licensing info.
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*/
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#include "hinge_joint_sw.h"
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static void plane_space(const Vector3& n, Vector3& p, Vector3& q) {
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if (Math::abs(n.z) > 0.707106781186547524400844362) {
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// choose p in y-z plane
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real_t a = n[1]*n[1] + n[2]*n[2];
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real_t k = 1.0/Math::sqrt(a);
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p=Vector3(0,-n[2]*k,n[1]*k);
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// set q = n x p
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q=Vector3(a*k,-n[0]*p[2],n[0]*p[1]);
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}
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else {
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// choose p in x-y plane
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real_t a = n.x*n.x + n.y*n.y;
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real_t k = 1.0/Math::sqrt(a);
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p=Vector3(-n.y*k,n.x*k,0);
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// set q = n x p
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q=Vector3(-n.z*p.y,n.z*p.x,a*k);
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}
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}
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HingeJointSW::HingeJointSW(BodySW* rbA,BodySW* rbB, const Transform& frameA, const Transform& frameB) : JointSW(_arr,2) {
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A=rbA;
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B=rbB;
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m_rbAFrame=frameA;
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m_rbBFrame=frameB;
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// flip axis
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m_rbBFrame.basis[0][2] *= real_t(-1.);
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m_rbBFrame.basis[1][2] *= real_t(-1.);
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m_rbBFrame.basis[2][2] *= real_t(-1.);
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//start with free
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m_lowerLimit = Math_PI;
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m_upperLimit = -Math_PI;
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m_useLimit = false;
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m_biasFactor = 0.3f;
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m_relaxationFactor = 1.0f;
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m_limitSoftness = 0.9f;
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m_solveLimit = false;
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tau=0.3;
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m_angularOnly=false;
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m_enableAngularMotor=false;
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A->add_constraint(this,0);
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B->add_constraint(this,1);
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}
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HingeJointSW::HingeJointSW(BodySW* rbA,BodySW* rbB, const Vector3& pivotInA,const Vector3& pivotInB,
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const Vector3& axisInA,const Vector3& axisInB) : JointSW(_arr,2) {
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A=rbA;
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B=rbB;
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m_rbAFrame.origin = pivotInA;
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// since no frame is given, assume this to be zero angle and just pick rb transform axis
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Vector3 rbAxisA1 = rbA->get_transform().basis.get_axis(0);
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Vector3 rbAxisA2;
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real_t projection = axisInA.dot(rbAxisA1);
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if (projection >= 1.0f - CMP_EPSILON) {
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rbAxisA1 = -rbA->get_transform().basis.get_axis(2);
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rbAxisA2 = rbA->get_transform().basis.get_axis(1);
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} else if (projection <= -1.0f + CMP_EPSILON) {
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rbAxisA1 = rbA->get_transform().basis.get_axis(2);
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rbAxisA2 = rbA->get_transform().basis.get_axis(1);
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} else {
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rbAxisA2 = axisInA.cross(rbAxisA1);
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rbAxisA1 = rbAxisA2.cross(axisInA);
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}
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m_rbAFrame.basis=Matrix3( rbAxisA1.x,rbAxisA2.x,axisInA.x,
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rbAxisA1.y,rbAxisA2.y,axisInA.y,
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rbAxisA1.z,rbAxisA2.z,axisInA.z );
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Quat rotationArc = Quat(axisInA,axisInB);
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Vector3 rbAxisB1 = rotationArc.xform(rbAxisA1);
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Vector3 rbAxisB2 = axisInB.cross(rbAxisB1);
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m_rbBFrame.origin = pivotInB;
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m_rbBFrame.basis=Matrix3( rbAxisB1.x,rbAxisB2.x,-axisInB.x,
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rbAxisB1.y,rbAxisB2.y,-axisInB.y,
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rbAxisB1.z,rbAxisB2.z,-axisInB.z );
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//start with free
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m_lowerLimit = Math_PI;
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m_upperLimit = -Math_PI;
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m_useLimit = false;
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m_biasFactor = 0.3f;
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m_relaxationFactor = 1.0f;
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m_limitSoftness = 0.9f;
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m_solveLimit = false;
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tau=0.3;
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m_angularOnly=false;
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m_enableAngularMotor=false;
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A->add_constraint(this,0);
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B->add_constraint(this,1);
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}
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bool HingeJointSW::setup(float p_step) {
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m_appliedImpulse = real_t(0.);
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if (!m_angularOnly)
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{
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Vector3 pivotAInW = A->get_transform().xform(m_rbAFrame.origin);
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Vector3 pivotBInW = B->get_transform().xform(m_rbBFrame.origin);
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Vector3 relPos = pivotBInW - pivotAInW;
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Vector3 normal[3];
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if (relPos.length_squared() > CMP_EPSILON)
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{
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normal[0] = relPos.normalized();
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}
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else
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{
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normal[0]=Vector3(real_t(1.0),0,0);
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}
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plane_space(normal[0], normal[1], normal[2]);
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for (int i=0;i<3;i++)
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{
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memnew_placement(&m_jac[i], JacobianEntrySW(
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A->get_transform().basis.transposed(),
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B->get_transform().basis.transposed(),
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pivotAInW - A->get_transform().origin,
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pivotBInW - B->get_transform().origin,
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normal[i],
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A->get_inv_inertia(),
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A->get_inv_mass(),
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B->get_inv_inertia(),
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B->get_inv_mass()) );
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}
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}
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//calculate two perpendicular jointAxis, orthogonal to hingeAxis
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//these two jointAxis require equal angular velocities for both bodies
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//this is unused for now, it's a todo
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Vector3 jointAxis0local;
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Vector3 jointAxis1local;
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plane_space(m_rbAFrame.basis.get_axis(2),jointAxis0local,jointAxis1local);
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A->get_transform().basis.xform( m_rbAFrame.basis.get_axis(2) );
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Vector3 jointAxis0 = A->get_transform().basis.xform( jointAxis0local );
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Vector3 jointAxis1 = A->get_transform().basis.xform( jointAxis1local );
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Vector3 hingeAxisWorld = A->get_transform().basis.xform( m_rbAFrame.basis.get_axis(2) );
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memnew_placement(&m_jacAng[0], JacobianEntrySW(jointAxis0,
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A->get_transform().basis.transposed(),
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B->get_transform().basis.transposed(),
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A->get_inv_inertia(),
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B->get_inv_inertia()));
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memnew_placement(&m_jacAng[1], JacobianEntrySW(jointAxis1,
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A->get_transform().basis.transposed(),
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B->get_transform().basis.transposed(),
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A->get_inv_inertia(),
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B->get_inv_inertia()));
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memnew_placement(&m_jacAng[2], JacobianEntrySW(hingeAxisWorld,
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A->get_transform().basis.transposed(),
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B->get_transform().basis.transposed(),
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A->get_inv_inertia(),
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B->get_inv_inertia()));
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// Compute limit information
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real_t hingeAngle = get_hinge_angle();
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// print_line("angle: "+rtos(hingeAngle));
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//set bias, sign, clear accumulator
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m_correction = real_t(0.);
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m_limitSign = real_t(0.);
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m_solveLimit = false;
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m_accLimitImpulse = real_t(0.);
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/*if (m_useLimit) {
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print_line("low: "+rtos(m_lowerLimit));
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print_line("hi: "+rtos(m_upperLimit));
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}*/
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// if (m_lowerLimit < m_upperLimit)
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if (m_useLimit && m_lowerLimit <= m_upperLimit)
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{
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// if (hingeAngle <= m_lowerLimit*m_limitSoftness)
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if (hingeAngle <= m_lowerLimit)
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{
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m_correction = (m_lowerLimit - hingeAngle);
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m_limitSign = 1.0f;
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m_solveLimit = true;
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}
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// else if (hingeAngle >= m_upperLimit*m_limitSoftness)
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else if (hingeAngle >= m_upperLimit)
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{
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m_correction = m_upperLimit - hingeAngle;
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m_limitSign = -1.0f;
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m_solveLimit = true;
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}
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}
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//Compute K = J*W*J' for hinge axis
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Vector3 axisA = A->get_transform().basis.xform( m_rbAFrame.basis.get_axis(2) );
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m_kHinge = 1.0f / (A->compute_angular_impulse_denominator(axisA) +
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B->compute_angular_impulse_denominator(axisA));
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return true;
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}
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void HingeJointSW::solve(float p_step) {
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Vector3 pivotAInW = A->get_transform().xform(m_rbAFrame.origin);
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Vector3 pivotBInW = B->get_transform().xform(m_rbBFrame.origin);
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//real_t tau = real_t(0.3);
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//linear part
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if (!m_angularOnly)
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{
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Vector3 rel_pos1 = pivotAInW - A->get_transform().origin;
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Vector3 rel_pos2 = pivotBInW - B->get_transform().origin;
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Vector3 vel1 = A->get_velocity_in_local_point(rel_pos1);
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Vector3 vel2 = B->get_velocity_in_local_point(rel_pos2);
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Vector3 vel = vel1 - vel2;
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for (int i=0;i<3;i++)
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{
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const Vector3& normal = m_jac[i].m_linearJointAxis;
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real_t jacDiagABInv = real_t(1.) / m_jac[i].getDiagonal();
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real_t rel_vel;
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rel_vel = normal.dot(vel);
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//positional error (zeroth order error)
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real_t depth = -(pivotAInW - pivotBInW).dot(normal); //this is the error projected on the normal
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real_t impulse = depth*tau/p_step * jacDiagABInv - rel_vel * jacDiagABInv;
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m_appliedImpulse += impulse;
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Vector3 impulse_vector = normal * impulse;
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A->apply_impulse(pivotAInW - A->get_transform().origin,impulse_vector);
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B->apply_impulse(pivotBInW - B->get_transform().origin,-impulse_vector);
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}
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}
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{
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///solve angular part
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// get axes in world space
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Vector3 axisA = A->get_transform().basis.xform( m_rbAFrame.basis.get_axis(2) );
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Vector3 axisB = B->get_transform().basis.xform( m_rbBFrame.basis.get_axis(2) );
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const Vector3& angVelA = A->get_angular_velocity();
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const Vector3& angVelB = B->get_angular_velocity();
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Vector3 angVelAroundHingeAxisA = axisA * axisA.dot(angVelA);
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Vector3 angVelAroundHingeAxisB = axisB * axisB.dot(angVelB);
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Vector3 angAorthog = angVelA - angVelAroundHingeAxisA;
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Vector3 angBorthog = angVelB - angVelAroundHingeAxisB;
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Vector3 velrelOrthog = angAorthog-angBorthog;
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{
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//solve orthogonal angular velocity correction
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real_t relaxation = real_t(1.);
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real_t len = velrelOrthog.length();
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if (len > real_t(0.00001))
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{
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Vector3 normal = velrelOrthog.normalized();
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real_t denom = A->compute_angular_impulse_denominator(normal) +
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B->compute_angular_impulse_denominator(normal);
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// scale for mass and relaxation
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velrelOrthog *= (real_t(1.)/denom) * m_relaxationFactor;
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}
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//solve angular positional correction
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Vector3 angularError = -axisA.cross(axisB) *(real_t(1.)/p_step);
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real_t len2 = angularError.length();
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if (len2>real_t(0.00001))
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{
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Vector3 normal2 = angularError.normalized();
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real_t denom2 = A->compute_angular_impulse_denominator(normal2) +
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B->compute_angular_impulse_denominator(normal2);
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angularError *= (real_t(1.)/denom2) * relaxation;
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}
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A->apply_torque_impulse(-velrelOrthog+angularError);
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B->apply_torque_impulse(velrelOrthog-angularError);
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// solve limit
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if (m_solveLimit)
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{
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real_t amplitude = ( (angVelB - angVelA).dot( axisA )*m_relaxationFactor + m_correction* (real_t(1.)/p_step)*m_biasFactor ) * m_limitSign;
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real_t impulseMag = amplitude * m_kHinge;
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// Clamp the accumulated impulse
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real_t temp = m_accLimitImpulse;
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m_accLimitImpulse = MAX(m_accLimitImpulse + impulseMag, real_t(0) );
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impulseMag = m_accLimitImpulse - temp;
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Vector3 impulse = axisA * impulseMag * m_limitSign;
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A->apply_torque_impulse(impulse);
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B->apply_torque_impulse(-impulse);
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}
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}
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//apply motor
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if (m_enableAngularMotor)
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{
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//todo: add limits too
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Vector3 angularLimit(0,0,0);
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Vector3 velrel = angVelAroundHingeAxisA - angVelAroundHingeAxisB;
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real_t projRelVel = velrel.dot(axisA);
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real_t desiredMotorVel = m_motorTargetVelocity;
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real_t motor_relvel = desiredMotorVel - projRelVel;
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real_t unclippedMotorImpulse = m_kHinge * motor_relvel;;
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//todo: should clip against accumulated impulse
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real_t clippedMotorImpulse = unclippedMotorImpulse > m_maxMotorImpulse ? m_maxMotorImpulse : unclippedMotorImpulse;
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clippedMotorImpulse = clippedMotorImpulse < -m_maxMotorImpulse ? -m_maxMotorImpulse : clippedMotorImpulse;
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Vector3 motorImp = clippedMotorImpulse * axisA;
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A->apply_torque_impulse(motorImp+angularLimit);
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B->apply_torque_impulse(-motorImp-angularLimit);
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}
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}
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}
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/*
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void HingeJointSW::updateRHS(real_t timeStep)
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{
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(void)timeStep;
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}
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*/
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static _FORCE_INLINE_ real_t atan2fast(real_t y, real_t x)
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{
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real_t coeff_1 = Math_PI / 4.0f;
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real_t coeff_2 = 3.0f * coeff_1;
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real_t abs_y = Math::abs(y);
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real_t angle;
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if (x >= 0.0f) {
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real_t r = (x - abs_y) / (x + abs_y);
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angle = coeff_1 - coeff_1 * r;
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} else {
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real_t r = (x + abs_y) / (abs_y - x);
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angle = coeff_2 - coeff_1 * r;
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}
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return (y < 0.0f) ? -angle : angle;
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}
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real_t HingeJointSW::get_hinge_angle() {
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const Vector3 refAxis0 = A->get_transform().basis.xform( m_rbAFrame.basis.get_axis(0) );
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const Vector3 refAxis1 = A->get_transform().basis.xform( m_rbAFrame.basis.get_axis(1) );
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const Vector3 swingAxis = B->get_transform().basis.xform( m_rbBFrame.basis.get_axis(1) );
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return atan2fast( swingAxis.dot(refAxis0), swingAxis.dot(refAxis1) );
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}
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void HingeJointSW::set_param(PhysicsServer::HingeJointParam p_param, float p_value) {
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switch (p_param) {
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case PhysicsServer::HINGE_JOINT_BIAS: tau=p_value; break;
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case PhysicsServer::HINGE_JOINT_LIMIT_UPPER: m_upperLimit=p_value; break;
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case PhysicsServer::HINGE_JOINT_LIMIT_LOWER: m_lowerLimit=p_value; break;
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case PhysicsServer::HINGE_JOINT_LIMIT_BIAS: m_biasFactor=p_value; break;
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case PhysicsServer::HINGE_JOINT_LIMIT_SOFTNESS: m_limitSoftness=p_value; break;
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case PhysicsServer::HINGE_JOINT_LIMIT_RELAXATION: m_relaxationFactor=p_value; break;
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case PhysicsServer::HINGE_JOINT_MOTOR_TARGET_VELOCITY: m_motorTargetVelocity=p_value; break;
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case PhysicsServer::HINGE_JOINT_MOTOR_MAX_IMPULSE: m_maxMotorImpulse=p_value; break;
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}
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}
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float HingeJointSW::get_param(PhysicsServer::HingeJointParam p_param) const{
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switch (p_param) {
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case PhysicsServer::HINGE_JOINT_BIAS: return tau;
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case PhysicsServer::HINGE_JOINT_LIMIT_UPPER: return m_upperLimit;
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case PhysicsServer::HINGE_JOINT_LIMIT_LOWER: return m_lowerLimit;
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case PhysicsServer::HINGE_JOINT_LIMIT_BIAS: return m_biasFactor;
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case PhysicsServer::HINGE_JOINT_LIMIT_SOFTNESS: return m_limitSoftness;
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case PhysicsServer::HINGE_JOINT_LIMIT_RELAXATION: return m_relaxationFactor;
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case PhysicsServer::HINGE_JOINT_MOTOR_TARGET_VELOCITY: return m_motorTargetVelocity;
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case PhysicsServer::HINGE_JOINT_MOTOR_MAX_IMPULSE: return m_maxMotorImpulse;
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|
|
|
}
|
|
|
|
return 0;
|
|
}
|
|
|
|
void HingeJointSW::set_flag(PhysicsServer::HingeJointFlag p_flag, bool p_value){
|
|
|
|
switch (p_flag) {
|
|
case PhysicsServer::HINGE_JOINT_FLAG_USE_LIMIT: m_useLimit=p_value; break;
|
|
case PhysicsServer::HINGE_JOINT_FLAG_ENABLE_MOTOR: m_enableAngularMotor=p_value; break;
|
|
}
|
|
|
|
}
|
|
bool HingeJointSW::get_flag(PhysicsServer::HingeJointFlag p_flag) const{
|
|
|
|
switch (p_flag) {
|
|
case PhysicsServer::HINGE_JOINT_FLAG_USE_LIMIT: return m_useLimit;
|
|
case PhysicsServer::HINGE_JOINT_FLAG_ENABLE_MOTOR:return m_enableAngularMotor;
|
|
}
|
|
|
|
return false;
|
|
}
|