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@ -0,0 +1,321 @@
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use strafesnet_common::integer::{vec3::{self, Vector3}, Fixed, Planar64, Planar64Vec3, Ratio};
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// This algorithm is based on Lua code
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// written by Trey Reynolds in 2021
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// 1/2^10
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const EPSILON:Planar64=Planar64::raw(1<<(32-10));
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// A stack-allocated variable-size list that holds up to 4 elements
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// Direct references are used instead of indices i0, i1, i2, i3
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type Conts<'a>=arrayvec::ArrayVec<&'a Contact,4>;
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struct Ray{
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origin:Planar64Vec3,
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direction:Planar64Vec3,
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}
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impl Ray{
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fn extrapolate(&self,t:Planar64)->Planar64Vec3{
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self.origin+self.direction*t
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}
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}
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/// Information about a contact restriction
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pub struct Contact{
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pub position:Planar64Vec3,
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pub velocity:Planar64Vec3,
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pub normal:Planar64Vec3,
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}
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impl Contact{
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fn relative_to(&self,point:Planar64Vec3)->Self{
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Self{
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position:self.position-point,
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velocity:self.velocity,
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normal:self.normal,
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}
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}
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fn relative_dot(&self,direction:Planar64Vec3)->Fixed<2,64>{
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(direction-self.velocity).dot(self.normal)
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}
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/// Calculate the time of intersection. (previously get_touch_time)
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fn solve(&self,ray:&Ray)->Ratio<Fixed<2,64>,Fixed<2,64>>{
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(self.position-ray.origin).dot(self.normal)/(ray.direction-self.velocity).dot(self.normal)
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}
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}
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//note that this is horrible with fixed point arithmetic
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fn solve1(c0:&Contact)->Ratio<Vector3<Fixed<3,96>>,Fixed<2,64>>{
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let det=c0.normal.dot(c0.velocity);
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let d0=c0.normal.dot(c0.position);
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c0.normal*d0/det
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}
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fn solve2(c0:&Contact,c1:&Contact)->Ratio<Vector3<Fixed<5,160>>,Fixed<4,128>>{
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let u0_u1=c0.velocity.cross(c1.velocity);
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let n0_n1=c0.normal.cross(c1.normal);
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let det=u0_u1.dot(n0_n1);
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let d0=c0.normal.dot(c0.position);
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let d1=c1.normal.dot(c1.position);
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(c1.normal.cross(u0_u1)*d0+u0_u1.cross(c0.normal)*d1)/det
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}
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fn solve3(c0:&Contact,c1:&Contact,c2:&Contact)->Ratio<Vector3<Fixed<4,128>>,Fixed<3,96>>{
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let n0_n1=c0.normal.cross(c1.normal);
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let det=c2.normal.dot(n0_n1);
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let d0=c0.normal.dot(c0.position);
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let d1=c1.normal.dot(c1.position);
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let d2=c2.normal.dot(c2.position);
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(c1.normal.cross(c2.normal)*d0+c2.normal.cross(c0.normal)*d1+c0.normal.cross(c1.normal)*d2)/det
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}
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fn decompose1(point:Planar64Vec3,u0:Planar64Vec3)->[Ratio<Fixed<2,64>,Fixed<2,64>>;1]{
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let det=u0.dot(u0);
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let s0=u0.dot(point)/det;
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[s0]
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}
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fn decompose2(point:Planar64Vec3,u0:Planar64Vec3,u1:Planar64Vec3)->[Ratio<Fixed<4,128>,Fixed<4,128>>;2]{
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let u0_u1=u0.cross(u1);
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let det=u0_u1.dot(u0_u1);
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let s0=u0_u1.dot(point.cross(u1))/det;
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let s1=u0_u1.dot(u0.cross(point))/det;
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[s0,s1]
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}
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fn decompose3(point:Planar64Vec3,u0:Planar64Vec3,u1:Planar64Vec3,u2:Planar64Vec3)->[Ratio<Fixed<3,96>,Fixed<3,96>>;3]{
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let det=u0.cross(u1).dot(u2);
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let s0=point.cross(u1).dot(u2)/det;
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let s1=u0.cross(point).dot(u2)/det;
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let s2=u0.cross(u1).dot(point)/det;
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[s0,s1,s2]
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}
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fn is_space_enclosed_2(
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a:Planar64Vec3,
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b:Planar64Vec3,
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)->bool{
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a.cross(b)==Vector3::new([Fixed::ZERO;3])
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&&a.dot(b).is_negative()
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}
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fn is_space_enclosed_3(
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a:Planar64Vec3,
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b:Planar64Vec3,
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c:Planar64Vec3
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)->bool{
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a.cross(b).dot(c)==Fixed::ZERO
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&&{
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let det_abac=a.cross(b).dot(a.cross(c));
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let det_abbc=a.cross(b).dot(b.cross(c));
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let det_acbc=a.cross(c).dot(b.cross(c));
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return!( det_abac*det_abbc).is_positive()
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&&!( det_abbc*det_acbc).is_positive()
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&&!(-det_acbc*det_abac).is_positive()
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||is_space_enclosed_2(a,b)
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||is_space_enclosed_2(a,c)
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||is_space_enclosed_2(b,c)
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}
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}
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fn is_space_enclosed_4(
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a:Planar64Vec3,
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b:Planar64Vec3,
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c:Planar64Vec3,
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d:Planar64Vec3,
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)->bool{
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let det_abc=a.cross(b).dot(c);
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let det_abd=a.cross(b).dot(d);
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let det_acd=a.cross(c).dot(d);
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let det_bcd=b.cross(c).dot(d);
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return( det_abc*det_abd).is_negative()
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&&(-det_abc*det_acd).is_negative()
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&&( det_abd*det_acd).is_negative()
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&&( det_abc*det_bcd).is_negative()
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&&(-det_abd*det_bcd).is_negative()
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&&( det_acd*det_bcd).is_negative()
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||is_space_enclosed_3(a,b,c)
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||is_space_enclosed_3(a,b,d)
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||is_space_enclosed_3(a,c,d)
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||is_space_enclosed_3(b,c,d)
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}
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const fn get_push_ray_0(point:Planar64Vec3)->Option<Ray>{
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Some(Ray{origin:point,direction:vec3::ZERO})
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}
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fn get_push_ray_1(point:Planar64Vec3,c0:&Contact)->Option<Ray>{
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let direction=solve1(c0);
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let s0=decompose1(direction,c0.velocity);
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if s0<Planar64::ZERO{
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return None;
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}
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let origin=point+solve1(
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&c0.relative_to(point),
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).divide().fix_1();
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Some(Ray{origin,direction})
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}
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fn get_push_ray_2(point:Planar64Vec3,c0:&Contact,c1:&Contact)->Option<Ray>{
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let direction=solve2(c0,c1)?;
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let (s0,s1)=decompose2(direction,c0.velocity,c1.velocity)?;
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if s0<Planar64::ZERO||s1<Planar64::ZERO{
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return None;
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}
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let origin=point+solve2(
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&c0.relative_to(point),
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&c1.relative_to(point),
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)?;
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Some(Ray{origin,direction})
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}
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fn get_push_ray_3(point:Planar64Vec3,c0:&Contact,c1:&Contact,c2:&Contact)->Option<Ray>{
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let direction=solve3(c0,c1,c2)?;
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let (s0,s1,s2)=decompose3(direction,c0.velocity,c1.velocity,c2.velocity)?;
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if s0<Planar64::ZERO||s1<Planar64::ZERO||s2<Planar64::ZERO{
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return None;
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}
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let origin=point+solve3(
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&c0.relative_to(point),
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&c1.relative_to(point),
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&c2.relative_to(point),
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)?;
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Some(Ray{origin,direction})
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}
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const fn get_best_push_ray_and_conts_0<'a>(point:Planar64Vec3)->Option<(Ray,Conts<'a>)>{
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match get_push_ray_0(point){
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Some(ray)=>Some((ray,Conts::new_const())),
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None=>None,
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}
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}
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fn get_best_push_ray_and_conts_1(point:Planar64Vec3,c0:&Contact)->Option<(Ray,Conts)>{
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get_push_ray_1(point,c0)
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.map(|ray|(ray,Conts::from_iter([c0])))
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}
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fn get_best_push_ray_and_conts_2<'a>(point:Planar64Vec3,c0:&'a Contact,c1:&'a Contact)->Option<(Ray,Conts<'a>)>{
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if is_space_enclosed_2(c0.normal,c1.normal){
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return None;
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}
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if let Some(ray)=get_push_ray_2(point,c0,c1){
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return Some((ray,Conts::from_iter([c0,c1])));
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}
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if let Some(ray)=get_push_ray_1(point,c0){
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if !c1.relative_dot(ray.direction).is_negative(){
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return Some((ray,Conts::from_iter([c0])));
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}
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}
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return None;
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}
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fn get_best_push_ray_and_conts_3<'a>(point:Planar64Vec3,c0:&'a Contact,c1:&'a Contact,c2:&'a Contact)->Option<(Ray,Conts<'a>)>{
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if is_space_enclosed_3(c0.normal,c1.normal,c2.normal){
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return None;
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}
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if let Some(ray)=get_push_ray_3(point,c0,c1,c2){
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return Some((ray,Conts::from_iter([c0,c1,c2])));
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}
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if let Some(ray)=get_push_ray_2(point,c0,c1){
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if !c2.relative_dot(ray.direction).is_negative(){
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return Some((ray,Conts::from_iter([c0,c1])));
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}
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}
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if let Some(ray)=get_push_ray_2(point,c0,c2){
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if !c1.relative_dot(ray.direction).is_negative(){
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return Some((ray,Conts::from_iter([c0,c2])));
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}
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}
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if let Some(ray)=get_push_ray_1(point,c0){
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if !c1.relative_dot(ray.direction).is_negative()
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&&!c2.relative_dot(ray.direction).is_negative(){
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return Some((ray,Conts::from_iter([c0])));
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}
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}
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return None;
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}
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fn get_best_push_ray_and_conts_4<'a>(point:Planar64Vec3,c0:&'a Contact,c1:&'a Contact,c2:&'a Contact,c3:&'a Contact)->Option<(Ray,Conts<'a>)>{
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if is_space_enclosed_4(c0.normal,c1.normal,c2.normal,c3.normal){
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return None;
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}
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let (ray012,conts012)=get_best_push_ray_and_conts_3(point,c0,c1,c2)?;
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let (ray013,conts013)=get_best_push_ray_and_conts_3(point,c0,c1,c3)?;
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let (ray023,conts023)=get_best_push_ray_and_conts_3(point,c0,c2,c3)?;
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let err012=c3.relative_dot(ray012.direction);
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let err013=c2.relative_dot(ray013.direction);
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let err023=c1.relative_dot(ray023.direction);
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let best_err=err012.max(err013).max(err023);
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if best_err==err012{
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return Some((ray012,conts012))
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}else if best_err==err013{
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return Some((ray013,conts013))
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}else if best_err==err023{
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return Some((ray023,conts023))
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}
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unreachable!()
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}
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fn get_best_push_ray_and_conts<'a>(
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point:Planar64Vec3,
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conts:Conts<'a>,
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)->Option<(Ray,Conts<'a>)>{
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match conts.as_slice(){
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&[c0,c1,c2,c3]=>get_best_push_ray_and_conts_4(point,c0,c1,c2,c3),
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&[c0,c1,c2]=>get_best_push_ray_and_conts_3(point,c0,c1,c2),
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&[c0,c1]=>get_best_push_ray_and_conts_2(point,c0,c1),
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&[c0]=>get_best_push_ray_and_conts_1(point,c0),
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&[]=>get_best_push_ray_and_conts_0(point),
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_=>unreachable!(),
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}
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}
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fn get_first_touch<'a>(contacts:&'a Vec<Contact>,ray:&Ray,conts:&Conts)->Option<(Ratio<Fixed<2,64>,Fixed<2,64>>,&'a Contact)>{
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contacts.iter()
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.filter(|&contact|
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!conts.iter().any(|&c|std::ptr::eq(c,contact))
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&&contact.relative_dot(ray.direction).is_negative()
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)
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.map(|contact|(contact.solve(ray),contact))
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.min_by_key(|&(t,_)|t)
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}
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pub fn push_solve(contacts:&Vec<Contact>,point:Planar64Vec3)->Option<Planar64Vec3>{
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let (mut ray,mut conts)=get_best_push_ray_and_conts_0(point)?;
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loop{
|
|
|
|
|
let (next_t,next_cont)=match get_first_touch(contacts,&ray,&conts){
|
|
|
|
|
Some((t,conts))=>(t,conts),
|
|
|
|
|
None=>return Some(ray.origin),
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
if Planar64::ZERO<=next_t{
|
|
|
|
|
return Some(ray.origin);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
//push_front
|
|
|
|
|
if conts.len()==conts.capacity(){
|
|
|
|
|
//this is a dead case, new_conts never has more than 3 elements
|
|
|
|
|
conts.rotate_right(1);
|
|
|
|
|
conts[0]=next_cont;
|
|
|
|
|
}else{
|
|
|
|
|
conts.push(next_cont);
|
|
|
|
|
conts.rotate_right(1);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
let meet_point=ray.extrapolate(next_t);
|
|
|
|
|
match get_best_push_ray_and_conts(meet_point,conts){
|
|
|
|
|
Some((new_ray,new_conts))=>(ray,conts)=(new_ray,new_conts),
|
|
|
|
|
None=>return Some(meet_point),
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#[cfg(test)]
|
|
|
|
|
mod tests{
|
|
|
|
|
use super::*;
|
|
|
|
|
#[test]
|
|
|
|
|
fn test_push_solve(){
|
|
|
|
|
let contacts=vec![
|
|
|
|
|
Contact{
|
|
|
|
|
position:vec3::ZERO,
|
|
|
|
|
velocity:vec3::Y,
|
|
|
|
|
normal:vec3::Y,
|
|
|
|
|
}
|
|
|
|
|
];
|
|
|
|
|
assert_eq!(
|
|
|
|
|
Some(vec3::ZERO),
|
|
|
|
|
push_solve(&contacts,vec3::NEG_Y)
|
|
|
|
|
);
|
|
|
|
|
}
|
|
|
|
|
}
|