#include "Math.hpp" #include "RigidBody.hpp" #include "Gear.hpp" namespace yasim { Gear::Gear() { for(int i=0; i<3; i++) _pos[i] = _cmpr[i] = 0; _spring = 1; _damp = 0; _sfric = 0.8; _dfric = 0.7; _brake = 0; _rot = 0; _extension = 1; } void Gear::setPosition(float* position) { for(int i=0; i<3; i++) _pos[i] = position[i]; } void Gear::setCompression(float* compression) { for(int i=0; i<3; i++) _cmpr[i] = compression[i]; } void Gear::setSpring(float spring) { _spring = spring; } void Gear::setDamping(float damping) { _damp = damping; } void Gear::setStaticFriction(float sfric) { _sfric = sfric; } void Gear::setDynamicFriction(float dfric) { _dfric = dfric; } void Gear::setBrake(float brake) { _brake = brake; } void Gear::setRotation(float rotation) { _rot = rotation; } void Gear::setExtension(float extension) { _extension = extension; } void Gear::getPosition(float* out) { for(int i=0; i<3; i++) out[i] = _pos[i]; } void Gear::getCompression(float* out) { for(int i=0; i<3; i++) out[i] = _cmpr[i]; } float Gear::getSpring() { return _spring; } float Gear::getDamping() { return _damp; } float Gear::getStaticFriction() { return _sfric; } float Gear::getDynamicFriction() { return _dfric; } float Gear::getBrake() { return _brake; } float Gear::getRotation() { return _rot; } float Gear::getExtension() { return _extension; } void Gear::getForce(float* force, float* contact) { Math::set3(_force, force); Math::set3(_contact, contact); } float Gear::getWoW() { return _wow; } float Gear::getCompressFraction() { return _frac; } void Gear::calcForce(RigidBody* body, float* v, float* rot, float* ground) { // Init the return values for(int i=0; i<3; i++) _force[i] = _contact[i] = 0; // Don't bother if it's not down if(_extension < 1) return; float tmp[3]; // First off, make sure that the gear "tip" is below the ground. // If it's not, there's no force. float a = ground[3] - Math::dot3(_pos, ground); if(a > 0) return; // Now a is the distance from the tip to ground, so make b the // distance from the base to ground. We can get the fraction // (0-1) of compression from a/(a-b). Note the minus sign -- stuff // above ground is negative. Math::add3(_cmpr, _pos, tmp); float b = ground[3] - Math::dot3(tmp, ground); // Calculate the point of ground _contact. _frac = a/(a-b); if(b < 0) _frac = 1; for(int i=0; i<3; i++) _contact[i] = _pos[i] + _frac*_cmpr[i]; // Turn _cmpr into a unit vector and a magnitude float cmpr[3]; float clen = Math::mag3(_cmpr); Math::mul3(1/clen, _cmpr, cmpr); // Now get the velocity of the point of contact float cv[3]; body->pointVelocity(_contact, rot, cv); Math::add3(cv, v, cv); // Finally, we can start adding up the forces. First the // spring compression (note the clamping of _frac to 1): _frac = (_frac > 1) ? 1 : _frac; float fmag = _frac*clen*_spring; Math::mul3(fmag, cmpr, _force); // Then the damping. Use the only the velocity into the ground // (projection along "ground") projected along the compression // axis. So Vdamp = ground*(ground dot cv) dot cmpr Math::mul3(Math::dot3(ground, cv), ground, tmp); float dv = Math::dot3(cmpr, tmp); float damp = _damp * dv; if(damp > fmag) damp = fmag; // can't pull the plane down! if(damp < -fmag) damp = -fmag; // sanity Math::mul3(-damp, cmpr, tmp); Math::add3(_force, tmp, _force); _wow = fmag - damp; // Wheels are funky. Split the velocity along the ground plane // into rolling and skidding components. Assuming small angles, // we generate "forward" and "left" unit vectors (the compression // goes "up") for the gear, make a "steer" direction from these, // and then project it onto the ground plane. Project the // velocity onto the ground plane too, and extract the "steer" // component. The remainder is the skid velocity. float gup[3]; // "up" unit vector from the ground Math::set3(ground, gup); Math::mul3(-1, gup, gup); float xhat[] = {1,0,0}; float steer[3], skid[3]; Math::cross3(gup, xhat, skid); // up cross xhat =~ skid Math::unit3(skid, skid); // == skid Math::cross3(skid, gup, steer); // skid cross up == steer if(_rot != 0) { // Correct for a (small) rotation Math::mul3(_rot, steer, tmp); Math::add3(tmp, skid, skid); Math::unit3(skid, skid); Math::cross3(skid, gup, steer); } float vsteer = Math::dot3(cv, steer); float vskid = Math::dot3(cv, skid); float wgt = Math::dot3(_force, gup); // force into the ground float fsteer = _brake * calcFriction(wgt, vsteer); float fskid = calcFriction(wgt, vskid); if(vsteer > 0) fsteer = -fsteer; if(vskid > 0) fskid = -fskid; // Phoo! All done. Add it up and get out of here. Math::mul3(fsteer, steer, tmp); Math::add3(tmp, _force, _force); Math::mul3(fskid, skid, tmp); Math::add3(tmp, _force, _force); } float Gear::calcFriction(float wgt, float v) { // How slow is stopped? 50 cm/second? const float STOP = 0.5; const float iSTOP = 1/STOP; v = Math::abs(v); if(v < STOP) return v*iSTOP * wgt * _sfric; else return wgt * _dfric; } }; // namespace yasim