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strafe-client/src/model_physics.rs
Quaternions 682fa44741 fix fart
2024-09-26 16:39:32 -07:00

1001 lines
39 KiB
Rust
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use std::borrow::{Borrow,Cow};
use std::collections::{HashSet,HashMap};
use strafesnet_common::integer::vec3::Vector3;
use strafesnet_common::model::{self,MeshId,PolygonIter};
use strafesnet_common::integer::{self,vec3,Fixed,Planar64,Planar64Vec3,Ratio};
pub trait UndirectedEdge{
type DirectedEdge:Copy+DirectedEdge;
fn as_directed(&self,parity:bool)->Self::DirectedEdge;
}
pub trait DirectedEdge{
type UndirectedEdge:Copy+std::fmt::Debug+UndirectedEdge;
fn as_undirected(&self)->Self::UndirectedEdge;
fn parity(&self)->bool;
//this is stupid but may work fine
fn reverse(&self)-><<Self as DirectedEdge>::UndirectedEdge as UndirectedEdge>::DirectedEdge{
self.as_undirected().as_directed(!self.parity())
}
}
#[derive(Debug,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct MeshVertId(u32);
#[derive(Debug,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct MeshFaceId(u32);
#[derive(Debug,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct SubmeshVertId(u32);
#[derive(Debug,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct SubmeshEdgeId(u32);
/// DirectedEdgeId refers to an EdgeId when undirected.
#[derive(Debug,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct SubmeshDirectedEdgeId(u32);
#[derive(Debug,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct SubmeshFaceId(u32);
impl UndirectedEdge for SubmeshEdgeId{
type DirectedEdge=SubmeshDirectedEdgeId;
fn as_directed(&self,parity:bool)->SubmeshDirectedEdgeId{
SubmeshDirectedEdgeId(self.0|((parity as u32)<<(u32::BITS-1)))
}
}
impl DirectedEdge for SubmeshDirectedEdgeId{
type UndirectedEdge=SubmeshEdgeId;
fn as_undirected(&self)->SubmeshEdgeId{
SubmeshEdgeId(self.0&!(1<<(u32::BITS-1)))
}
fn parity(&self)->bool{
self.0&(1<<(u32::BITS-1))!=0
}
}
//Vertex <-> Edge <-> Face -> Collide
#[derive(Debug)]
pub enum FEV<F,E:DirectedEdge,V>{
Face(F),
Edge(E::UndirectedEdge),
Vert(V),
}
//use Unit32 #[repr(C)] for map files
#[derive(Clone,Hash,Eq,PartialEq)]
struct Face{
normal:Planar64Vec3,
dot:Planar64,
}
struct Vert(Planar64Vec3);
pub trait MeshQuery<FACE:Clone,EDGE:Clone+DirectedEdge,VERT:Clone>{
// Vertex must be Planar64Vec3 because it represents an actual position
type Normal;
type Offset;
fn edge_n(&self,edge_id:EDGE::UndirectedEdge)->Planar64Vec3{
let verts=self.edge_verts(edge_id);
self.vert(verts[1].clone())-self.vert(verts[0].clone())
}
fn directed_edge_n(&self,directed_edge_id:EDGE)->Planar64Vec3{
let verts=self.edge_verts(directed_edge_id.as_undirected());
(self.vert(verts[1].clone())-self.vert(verts[0].clone()))*((directed_edge_id.parity() as i64)*2-1)
}
fn vert(&self,vert_id:VERT)->Planar64Vec3;
fn face_nd(&self,face_id:FACE)->(Self::Normal,Self::Offset);
fn face_edges(&self,face_id:FACE)->Cow<Vec<EDGE>>;
fn edge_faces(&self,edge_id:EDGE::UndirectedEdge)->Cow<[FACE;2]>;
fn edge_verts(&self,edge_id:EDGE::UndirectedEdge)->Cow<[VERT;2]>;
fn vert_edges(&self,vert_id:VERT)->Cow<Vec<EDGE>>;
fn vert_faces(&self,vert_id:VERT)->Cow<Vec<FACE>>;
}
struct FaceRefs{
edges:Vec<SubmeshDirectedEdgeId>,
//verts:Vec<VertId>,
}
struct EdgeRefs{
faces:[SubmeshFaceId;2],//left, right
verts:[SubmeshVertId;2],//bottom, top
}
struct VertRefs{
faces:Vec<SubmeshFaceId>,
edges:Vec<SubmeshDirectedEdgeId>,
}
pub struct PhysicsMeshData{
//this contains all real and virtual faces used in both the complete mesh and convex submeshes
//faces are sorted such that all faces that belong to the complete mesh appear first, and then
//all remaining faces are virtual to operate internal logic of the face crawler
//and cannot be part of a physics collision
//virtual faces are only used in convex submeshes.
faces:Vec<Face>,//MeshFaceId indexes this list
verts:Vec<Vert>,//MeshVertId indexes this list
}
pub struct PhysicsMeshTopology{
//mapping of local ids to PhysicsMeshData ids
faces:Vec<MeshFaceId>,//SubmeshFaceId indexes this list
verts:Vec<MeshVertId>,//SubmeshVertId indexes this list
//all ids here are local to this object
face_topology:Vec<FaceRefs>,
edge_topology:Vec<EdgeRefs>,
vert_topology:Vec<VertRefs>,
}
#[derive(Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct PhysicsMeshId(u32);
impl Into<MeshId> for PhysicsMeshId{
fn into(self)->MeshId{
MeshId::new(self.0)
}
}
impl From<MeshId> for PhysicsMeshId{
fn from(value:MeshId)->Self{
Self::new(value.get())
}
}
#[derive(Debug,Default,Clone,Copy,Hash,id::Id,Eq,PartialEq)]
pub struct PhysicsSubmeshId(u32);
pub struct PhysicsMesh{
data:PhysicsMeshData,
complete_mesh:PhysicsMeshTopology,
//Most objects in roblox maps are already convex, so the list length is 0
//as soon as the mesh is divided into 2 submeshes, the list length jumps to 2.
//length 1 is unnecessary since the complete mesh would be a duplicate of the only submesh, but would still function properly
submeshes:Vec<PhysicsMeshTopology>,
}
impl PhysicsMesh{
pub fn unit_cube()->Self{
//go go gadget debug print mesh
let data=PhysicsMeshData{
faces:vec![
Face{normal:vec3::raw_xyz( 4294967296, 0, 0),dot:Planar64::raw(4294967296)},
Face{normal:vec3::raw_xyz( 0, 4294967296, 0),dot:Planar64::raw(4294967296)},
Face{normal:vec3::raw_xyz( 0, 0, 4294967296),dot:Planar64::raw(4294967296)},
Face{normal:vec3::raw_xyz(-4294967296, 0, 0),dot:Planar64::raw(4294967296)},
Face{normal:vec3::raw_xyz( 0,-4294967296, 0),dot:Planar64::raw(4294967296)},
Face{normal:vec3::raw_xyz( 0, 0,-4294967296),dot:Planar64::raw(4294967296)}
],
verts:vec![
Vert(vec3::raw_xyz( 4294967296,-4294967296,-4294967296)),
Vert(vec3::raw_xyz( 4294967296, 4294967296,-4294967296)),
Vert(vec3::raw_xyz( 4294967296, 4294967296, 4294967296)),
Vert(vec3::raw_xyz( 4294967296,-4294967296, 4294967296)),
Vert(vec3::raw_xyz(-4294967296, 4294967296,-4294967296)),
Vert(vec3::raw_xyz(-4294967296, 4294967296, 4294967296)),
Vert(vec3::raw_xyz(-4294967296,-4294967296, 4294967296)),
Vert(vec3::raw_xyz(-4294967296,-4294967296,-4294967296))
]
};
let mesh_topology=PhysicsMeshTopology{
faces:(0..data.faces.len() as u32).map(MeshFaceId::new).collect(),
verts:(0..data.verts.len() as u32).map(MeshVertId::new).collect(),
face_topology:vec![
FaceRefs{edges:vec![SubmeshDirectedEdgeId((9223372036854775808u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775809u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775810u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId(3)]},
FaceRefs{edges:vec![SubmeshDirectedEdgeId((9223372036854775812u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775813u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId(6),SubmeshDirectedEdgeId(1)]},
FaceRefs{edges:vec![SubmeshDirectedEdgeId(7),SubmeshDirectedEdgeId(2),SubmeshDirectedEdgeId((9223372036854775814u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775816u64-(1<<63)+(1<<31)) as u32)]},
FaceRefs{edges:vec![SubmeshDirectedEdgeId(8),SubmeshDirectedEdgeId(5),SubmeshDirectedEdgeId((9223372036854775817u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId(10)]},
FaceRefs{edges:vec![SubmeshDirectedEdgeId((9223372036854775815u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775818u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId(11),SubmeshDirectedEdgeId((9223372036854775811u64-(1<<63)+(1<<31)) as u32)]},
FaceRefs{edges:vec![SubmeshDirectedEdgeId(4),SubmeshDirectedEdgeId(0),SubmeshDirectedEdgeId((9223372036854775819u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId(9)]}
],
edge_topology:vec![
EdgeRefs{faces:[SubmeshFaceId(0),SubmeshFaceId(5)],verts:[SubmeshVertId(0),SubmeshVertId(1)]},
EdgeRefs{faces:[SubmeshFaceId(0),SubmeshFaceId(1)],verts:[SubmeshVertId(1),SubmeshVertId(2)]},
EdgeRefs{faces:[SubmeshFaceId(0),SubmeshFaceId(2)],verts:[SubmeshVertId(2),SubmeshVertId(3)]},
EdgeRefs{faces:[SubmeshFaceId(4),SubmeshFaceId(0)],verts:[SubmeshVertId(0),SubmeshVertId(3)]},
EdgeRefs{faces:[SubmeshFaceId(1),SubmeshFaceId(5)],verts:[SubmeshVertId(1),SubmeshVertId(4)]},
EdgeRefs{faces:[SubmeshFaceId(1),SubmeshFaceId(3)],verts:[SubmeshVertId(4),SubmeshVertId(5)]},
EdgeRefs{faces:[SubmeshFaceId(2),SubmeshFaceId(1)],verts:[SubmeshVertId(2),SubmeshVertId(5)]},
EdgeRefs{faces:[SubmeshFaceId(4),SubmeshFaceId(2)],verts:[SubmeshVertId(3),SubmeshVertId(6)]},
EdgeRefs{faces:[SubmeshFaceId(2),SubmeshFaceId(3)],verts:[SubmeshVertId(5),SubmeshVertId(6)]},
EdgeRefs{faces:[SubmeshFaceId(3),SubmeshFaceId(5)],verts:[SubmeshVertId(4),SubmeshVertId(7)]},
EdgeRefs{faces:[SubmeshFaceId(4),SubmeshFaceId(3)],verts:[SubmeshVertId(6),SubmeshVertId(7)]},
EdgeRefs{faces:[SubmeshFaceId(5),SubmeshFaceId(4)],verts:[SubmeshVertId(0),SubmeshVertId(7)]}
],
vert_topology:vec![
VertRefs{faces:vec![SubmeshFaceId(0),SubmeshFaceId(4),SubmeshFaceId(5)],edges:vec![SubmeshDirectedEdgeId((9223372036854775811u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775819u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775808u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(0),SubmeshFaceId(5),SubmeshFaceId(1)],edges:vec![SubmeshDirectedEdgeId((9223372036854775812u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId(0),SubmeshDirectedEdgeId((9223372036854775809u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(0),SubmeshFaceId(2),SubmeshFaceId(1)],edges:vec![SubmeshDirectedEdgeId(1),SubmeshDirectedEdgeId((9223372036854775810u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775814u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(0),SubmeshFaceId(2),SubmeshFaceId(4)],edges:vec![SubmeshDirectedEdgeId(2),SubmeshDirectedEdgeId(3),SubmeshDirectedEdgeId((9223372036854775815u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(3),SubmeshFaceId(5),SubmeshFaceId(1)],edges:vec![SubmeshDirectedEdgeId(4),SubmeshDirectedEdgeId((9223372036854775817u64-(1<<63)+(1<<31)) as u32),SubmeshDirectedEdgeId((9223372036854775813u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(2),SubmeshFaceId(3),SubmeshFaceId(1)],edges:vec![SubmeshDirectedEdgeId(5),SubmeshDirectedEdgeId(6),SubmeshDirectedEdgeId((9223372036854775816u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(2),SubmeshFaceId(3),SubmeshFaceId(4)],edges:vec![SubmeshDirectedEdgeId(7),SubmeshDirectedEdgeId(8),SubmeshDirectedEdgeId((9223372036854775818u64-(1<<63)+(1<<31)) as u32)]},
VertRefs{faces:vec![SubmeshFaceId(4),SubmeshFaceId(3),SubmeshFaceId(5)],edges:vec![SubmeshDirectedEdgeId(10),SubmeshDirectedEdgeId(11),SubmeshDirectedEdgeId(9)]}
]
};
Self{
data,
complete_mesh:mesh_topology,
submeshes:Vec::new(),
}
}
pub fn unit_cylinder()->Self{
Self::unit_cube()
}
#[inline]
pub const fn complete_mesh(&self)->&PhysicsMeshTopology{
&self.complete_mesh
}
#[inline]
pub const fn complete_mesh_view(&self)->PhysicsMeshView{
PhysicsMeshView{
data:&self.data,
topology:self.complete_mesh(),
}
}
#[inline]
pub fn submeshes(&self)->&[PhysicsMeshTopology]{
//the complete mesh is already a convex mesh when len()==0, len()==1 is invalid but will still work
if self.submeshes.len()==0{
std::slice::from_ref(&self.complete_mesh)
}else{
&self.submeshes.as_slice()
}
}
#[inline]
pub fn submesh_view(&self,submesh_id:PhysicsSubmeshId)->PhysicsMeshView{
PhysicsMeshView{
data:&self.data,
topology:&self.submeshes()[submesh_id.get() as usize],
}
}
pub fn submesh_views(&self)->impl Iterator<Item=PhysicsMeshView>{
self.submeshes().iter().map(|topology|PhysicsMeshView{
data:&self.data,
topology,
})
}
}
//mesh builder code
#[derive(Default,Clone)]
struct VertRefGuy{
edges:HashSet<SubmeshDirectedEdgeId>,
faces:HashSet<SubmeshFaceId>,
}
#[derive(Clone,Hash,Eq,PartialEq)]
struct EdgeRefVerts([SubmeshVertId;2]);
impl EdgeRefVerts{
const fn new(v0:SubmeshVertId,v1:SubmeshVertId)->(Self,bool){
(if v0.0<v1.0{
Self([v0,v1])
}else{
Self([v1,v0])
},v0.0<v1.0)
}
}
struct EdgeRefFaces([SubmeshFaceId;2]);
impl EdgeRefFaces{
const fn new()->Self{
Self([SubmeshFaceId(0);2])
}
fn push(&mut self,i:usize,face_id:SubmeshFaceId){
self.0[i]=face_id;
}
}
struct FaceRefEdges(Vec<SubmeshDirectedEdgeId>);
#[derive(Default)]
struct EdgePool{
edge_guys:Vec<(EdgeRefVerts,EdgeRefFaces)>,
edge_id_from_guy:HashMap<EdgeRefVerts,SubmeshEdgeId>,
}
impl EdgePool{
fn push(&mut self,edge_ref_verts:EdgeRefVerts)->(&mut EdgeRefFaces,SubmeshEdgeId){
let edge_id=if let Some(&edge_id)=self.edge_id_from_guy.get(&edge_ref_verts){
edge_id
}else{
let edge_id=SubmeshEdgeId::new(self.edge_guys.len() as u32);
self.edge_guys.push((edge_ref_verts.clone(),EdgeRefFaces::new()));
self.edge_id_from_guy.insert(edge_ref_verts,edge_id);
edge_id
};
(&mut unsafe{self.edge_guys.get_unchecked_mut(edge_id.get() as usize)}.1,edge_id)
}
}
#[derive(Debug)]
pub enum PhysicsMeshError{
ZeroVertices,
NoPhysicsGroups,
}
impl std::fmt::Display for PhysicsMeshError{
fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
write!(f,"{self:?}")
}
}
impl std::error::Error for PhysicsMeshError{}
impl TryFrom<&model::Mesh> for PhysicsMesh{
type Error=PhysicsMeshError;
fn try_from(mesh:&model::Mesh)->Result<Self,PhysicsMeshError>{
if mesh.unique_pos.len()==0{
return Err(PhysicsMeshError::ZeroVertices);
}
let verts=mesh.unique_pos.iter().copied().map(Vert).collect();
//TODO: fix submeshes
//flat map mesh.physics_groups[$1].groups.polys()[$2] as face_id
//lower face_id points to upper face_id
//the same face is not allowed to be in multiple polygon groups
let mut faces=Vec::new();
let mut face_id_from_face=HashMap::new();
let mut mesh_topologies:Vec<PhysicsMeshTopology>=mesh.physics_groups.iter().map(|physics_group|{
//construct submesh
let mut submesh_faces=Vec::new();//these contain a map from submeshId->meshId
let mut submesh_verts=Vec::new();
let mut submesh_vert_id_from_mesh_vert_id=HashMap::<MeshVertId,SubmeshVertId>::new();
//lazy closure
let mut get_submesh_vert_id=|vert_id:MeshVertId|{
if let Some(&submesh_vert_id)=submesh_vert_id_from_mesh_vert_id.get(&vert_id){
submesh_vert_id
}else{
let submesh_vert_id=SubmeshVertId::new(submesh_verts.len() as u32);
submesh_verts.push(vert_id);
submesh_vert_id_from_mesh_vert_id.insert(vert_id,submesh_vert_id);
submesh_vert_id
}
};
let mut edge_pool=EdgePool::default();
let mut vert_ref_guys=vec![VertRefGuy::default();mesh.unique_pos.len()];
let mut face_ref_guys=Vec::new();
for polygon_group_id in &physics_group.groups{
let polygon_group=&mesh.polygon_groups[polygon_group_id.get() as usize];
for poly_vertices in polygon_group.polys(){
let submesh_face_id=SubmeshFaceId::new(submesh_faces.len() as u32);
//one face per poly
let mut normal=Vector3::new([Fixed::ZERO,Fixed::ZERO,Fixed::ZERO]);
let len=poly_vertices.len();
let face_edges=poly_vertices.into_iter().enumerate().map(|(i,vert_id)|{
let vert0_id=MeshVertId::new(mesh.unique_vertices[vert_id.get() as usize].pos.get() as u32);
let vert1_id=MeshVertId::new(mesh.unique_vertices[poly_vertices[(i+1)%len].get() as usize].pos.get() as u32);
//index submesh verts
let submesh_vert0_id=get_submesh_vert_id(vert0_id);
let submesh_vert1_id=get_submesh_vert_id(vert1_id);
//https://www.khronos.org/opengl/wiki/Calculating_a_Surface_Normal (Newell's Method)
let v0=mesh.unique_pos[vert0_id.get() as usize];
let v1=mesh.unique_pos[vert1_id.get() as usize];
normal+=Vector3::new([
(v0.y-v1.y)*(v0.z+v1.z),
(v0.z-v1.z)*(v0.x+v1.x),
(v0.x-v1.x)*(v0.y+v1.y),
]);
//get/create edge and push face into it
let (edge_ref_verts,is_sorted)=EdgeRefVerts::new(submesh_vert0_id,submesh_vert1_id);
let (edge_ref_faces,edge_id)=edge_pool.push(edge_ref_verts);
//polygon vertices as assumed to be listed clockwise
//populate the edge face on the left or right depending on how the edge vertices got sorted
edge_ref_faces.push(!is_sorted as usize,submesh_face_id);
//index edges & face into vertices
{
let vert_ref_guy=unsafe{vert_ref_guys.get_unchecked_mut(submesh_vert0_id.get() as usize)};
vert_ref_guy.edges.insert(edge_id.as_directed(is_sorted));
vert_ref_guy.faces.insert(submesh_face_id);
unsafe{vert_ref_guys.get_unchecked_mut(submesh_vert1_id.get() as usize)}.edges.insert(edge_id.as_directed(!is_sorted));
}
//return directed_edge_id
edge_id.as_directed(is_sorted)
}).collect();
let mut dot=Fixed::ZERO;
// find the average dot
for &v in poly_vertices{
dot+=normal.dot(mesh.unique_pos[mesh.unique_vertices[v.get() as usize].pos.get() as usize]);
}
//assume face hash is stable, and there are no flush faces...
let face=Face{
normal:(normal/len as i64).divide().fix_1(),
dot:(dot/(len*len) as i64).fix_1(),
};
let face_id=match face_id_from_face.get(&face){
Some(&face_id)=>face_id,
None=>{
let face_id=MeshFaceId::new(faces.len() as u32);
face_id_from_face.insert(face.clone(),face_id);
faces.push(face);
face_id
}
};
submesh_faces.push(face_id);
face_ref_guys.push(FaceRefEdges(face_edges));
}
}
PhysicsMeshTopology{
faces:submesh_faces,
verts:submesh_verts,
face_topology:face_ref_guys.into_iter().map(|face_ref_guy|{
FaceRefs{edges:face_ref_guy.0}
}).collect(),
edge_topology:edge_pool.edge_guys.into_iter().map(|(edge_ref_verts,edge_ref_faces)|
EdgeRefs{faces:edge_ref_faces.0,verts:edge_ref_verts.0}
).collect(),
vert_topology:vert_ref_guys.into_iter().map(|vert_ref_guy|
VertRefs{
edges:vert_ref_guy.edges.into_iter().collect(),
faces:vert_ref_guy.faces.into_iter().collect(),
}
).collect(),
}
}).collect();
Ok(Self{
data:PhysicsMeshData{
faces,
verts,
},
complete_mesh:mesh_topologies.pop().ok_or(PhysicsMeshError::NoPhysicsGroups)?,
submeshes:mesh_topologies,
})
}
}
pub struct PhysicsMeshView<'a>{
data:&'a PhysicsMeshData,
topology:&'a PhysicsMeshTopology,
}
impl MeshQuery<SubmeshFaceId,SubmeshDirectedEdgeId,SubmeshVertId> for PhysicsMeshView<'_>{
type Normal=Planar64Vec3;
type Offset=Planar64;
fn face_nd(&self,face_id:SubmeshFaceId)->(Planar64Vec3,Planar64){
let face_idx=self.topology.faces[face_id.get() as usize].get() as usize;
(self.data.faces[face_idx].normal,self.data.faces[face_idx].dot)
}
//ideally I never calculate the vertex position, but I have to for the graphical meshes...
fn vert(&self,vert_id:SubmeshVertId)->Planar64Vec3{
let vert_idx=self.topology.verts[vert_id.get() as usize].get() as usize;
self.data.verts[vert_idx].0
}
fn face_edges(&self,face_id:SubmeshFaceId)->Cow<Vec<SubmeshDirectedEdgeId>>{
Cow::Borrowed(&self.topology.face_topology[face_id.get() as usize].edges)
}
fn edge_faces(&self,edge_id:SubmeshEdgeId)->Cow<[SubmeshFaceId;2]>{
Cow::Borrowed(&self.topology.edge_topology[edge_id.get() as usize].faces)
}
fn edge_verts(&self,edge_id:SubmeshEdgeId)->Cow<[SubmeshVertId;2]>{
Cow::Borrowed(&self.topology.edge_topology[edge_id.get() as usize].verts)
}
fn vert_edges(&self,vert_id:SubmeshVertId)->Cow<Vec<SubmeshDirectedEdgeId>>{
Cow::Borrowed(&self.topology.vert_topology[vert_id.get() as usize].edges)
}
fn vert_faces(&self,vert_id:SubmeshVertId)->Cow<Vec<SubmeshFaceId>>{
Cow::Borrowed(&self.topology.vert_topology[vert_id.get() as usize].faces)
}
}
pub struct PhysicsMeshTransform{
pub vertex:integer::Planar64Affine3,
pub normal:integer::mat3::Matrix3<Fixed<2,64>>,
pub det:Fixed<3,96>,
}
impl PhysicsMeshTransform{
pub fn new(transform:integer::Planar64Affine3)->Self{
Self{
normal:transform.matrix3.adjugate().transpose(),
det:transform.matrix3.det(),
vertex:transform,
}
}
}
pub struct TransformedMesh<'a>{
view:PhysicsMeshView<'a>,
transform:&'a PhysicsMeshTransform,
}
impl TransformedMesh<'_>{
pub const fn new<'a>(
view:PhysicsMeshView<'a>,
transform:&'a PhysicsMeshTransform,
)->TransformedMesh<'a>{
TransformedMesh{
view,
transform,
}
}
pub fn verts<'a>(&'a self)->impl Iterator<Item=vec3::Vector3<Fixed<2,64>>>+'a{
self.view.data.verts.iter().map(|&Vert(pos)|self.transform.vertex.transform_point3(pos))
}
fn farthest_vert(&self,dir:Planar64Vec3)->SubmeshVertId{
//this happens to be well-defined. there are no virtual virtices
SubmeshVertId::new(
self.view.topology.verts.iter()
.enumerate()
.max_by_key(|(_,&vert_id)|
dir.dot(self.transform.vertex.transform_point3(self.view.data.verts[vert_id.get() as usize].0))
)
//assume there is more than zero vertices.
.unwrap().0 as u32
)
}
}
impl MeshQuery<SubmeshFaceId,SubmeshDirectedEdgeId,SubmeshVertId> for TransformedMesh<'_>{
type Normal=Vector3<Fixed<3,96>>;
type Offset=Fixed<4,128>;
fn face_nd(&self,face_id:SubmeshFaceId)->(Self::Normal,Self::Offset){
let (n,d)=self.view.face_nd(face_id);
let transformed_n=self.transform.normal*n;
let transformed_d=d*self.transform.det+transformed_n.dot(self.transform.vertex.translation);
(transformed_n,transformed_d)
}
fn vert(&self,vert_id:SubmeshVertId)->Planar64Vec3{
self.transform.vertex.transform_point3(self.view.vert(vert_id)).fix_1()
}
#[inline]
fn face_edges(&self,face_id:SubmeshFaceId)->Cow<Vec<SubmeshDirectedEdgeId>>{
self.view.face_edges(face_id)
}
#[inline]
fn edge_faces(&self,edge_id:SubmeshEdgeId)->Cow<[SubmeshFaceId;2]>{
self.view.edge_faces(edge_id)
}
#[inline]
fn edge_verts(&self,edge_id:SubmeshEdgeId)->Cow<[SubmeshVertId;2]>{
self.view.edge_verts(edge_id)
}
#[inline]
fn vert_edges(&self,vert_id:SubmeshVertId)->Cow<Vec<SubmeshDirectedEdgeId>>{
self.view.vert_edges(vert_id)
}
#[inline]
fn vert_faces(&self,vert_id:SubmeshVertId)->Cow<Vec<SubmeshFaceId>>{
self.view.vert_faces(vert_id)
}
}
//Note that a face on a minkowski mesh refers to a pair of fevs on the meshes it's summed from
//(face,vertex)
//(edge,edge)
//(vertex,face)
#[derive(Clone,Copy,Debug)]
pub enum MinkowskiVert{
VertVert(SubmeshVertId,SubmeshVertId),
}
#[derive(Clone,Copy,Debug)]
pub enum MinkowskiEdge{
VertEdge(SubmeshVertId,SubmeshEdgeId),
EdgeVert(SubmeshEdgeId,SubmeshVertId),
//EdgeEdge when edges are parallel
}
impl UndirectedEdge for MinkowskiEdge{
type DirectedEdge=MinkowskiDirectedEdge;
fn as_directed(&self,parity:bool)->Self::DirectedEdge{
match self{
MinkowskiEdge::VertEdge(v0,e1)=>MinkowskiDirectedEdge::VertEdge(*v0,e1.as_directed(parity)),
MinkowskiEdge::EdgeVert(e0,v1)=>MinkowskiDirectedEdge::EdgeVert(e0.as_directed(parity),*v1),
}
}
}
#[derive(Clone,Copy,Debug)]
pub enum MinkowskiDirectedEdge{
VertEdge(SubmeshVertId,SubmeshDirectedEdgeId),
EdgeVert(SubmeshDirectedEdgeId,SubmeshVertId),
//EdgeEdge when edges are parallel
}
impl DirectedEdge for MinkowskiDirectedEdge{
type UndirectedEdge=MinkowskiEdge;
fn as_undirected(&self)->Self::UndirectedEdge{
match self{
MinkowskiDirectedEdge::VertEdge(v0,e1)=>MinkowskiEdge::VertEdge(*v0,e1.as_undirected()),
MinkowskiDirectedEdge::EdgeVert(e0,v1)=>MinkowskiEdge::EdgeVert(e0.as_undirected(),*v1),
}
}
fn parity(&self)->bool{
match self{
MinkowskiDirectedEdge::VertEdge(_,e)
|MinkowskiDirectedEdge::EdgeVert(e,_)=>e.parity(),
}
}
}
#[derive(Clone,Copy,Debug,Hash,Eq,PartialEq)]
pub enum MinkowskiFace{
VertFace(SubmeshVertId,SubmeshFaceId),
EdgeEdge(SubmeshEdgeId,SubmeshEdgeId,bool),
FaceVert(SubmeshFaceId,SubmeshVertId),
//EdgeFace
//FaceEdge
//FaceFace
}
pub struct MinkowskiMesh<'a>{
mesh0:TransformedMesh<'a>,
mesh1:TransformedMesh<'a>,
}
//infinity fev algorithm state transition
#[derive(Debug)]
enum Transition{
Done,//found closest vert, no edges are better
Vert(MinkowskiVert),//transition to vert
}
enum EV{
Vert(MinkowskiVert),
Edge(MinkowskiEdge),
}
pub type GigaTime=Ratio<Fixed<4,128>,Fixed<4,128>>;
impl MinkowskiMesh<'_>{
pub fn minkowski_sum<'a>(mesh0:TransformedMesh<'a>,mesh1:TransformedMesh<'a>)->MinkowskiMesh<'a>{
MinkowskiMesh{
mesh0,
mesh1,
}
}
fn farthest_vert(&self,dir:Planar64Vec3)->MinkowskiVert{
MinkowskiVert::VertVert(self.mesh0.farthest_vert(dir),self.mesh1.farthest_vert(-dir))
}
fn next_transition_vert(&self,vert_id:MinkowskiVert,best_distance_squared:&mut Fixed<2,64>,infinity_dir:Planar64Vec3,point:Planar64Vec3)->Transition{
let mut best_transition=Transition::Done;
for &directed_edge_id in self.vert_edges(vert_id).iter(){
let edge_n=self.directed_edge_n(directed_edge_id);
//is boundary uncrossable by a crawl from infinity
let edge_verts=self.edge_verts(directed_edge_id.as_undirected());
//select opposite vertex
let test_vert_id=edge_verts[directed_edge_id.parity() as usize];
//test if it's closer
let diff=point-self.vert(test_vert_id);
if edge_n.dot(infinity_dir).is_zero(){
let distance_squared=diff.dot(diff);
if distance_squared<*best_distance_squared{
best_transition=Transition::Vert(test_vert_id);
*best_distance_squared=distance_squared;
}
}
}
best_transition
}
fn final_ev(&self,vert_id:MinkowskiVert,best_distance_squared:&mut Fixed<2,64>,infinity_dir:Planar64Vec3,point:Planar64Vec3)->EV{
let mut best_transition=EV::Vert(vert_id);
let diff=point-self.vert(vert_id);
for &directed_edge_id in self.vert_edges(vert_id).iter(){
let edge_n=self.directed_edge_n(directed_edge_id);
//is boundary uncrossable by a crawl from infinity
//check if time of collision is outside Time::MIN..Time::MAX
if edge_n.dot(infinity_dir).is_zero(){
let d=edge_n.dot(diff);
//test the edge
let edge_nn=edge_n.dot(edge_n);
if !d.is_negative()&&d<=edge_nn{
let distance_squared={
let c=diff.cross(edge_n);
(c.dot(c)/edge_nn).divide().fix_2()
};
if distance_squared<=*best_distance_squared{
best_transition=EV::Edge(directed_edge_id.as_undirected());
*best_distance_squared=distance_squared;
}
}
}
}
best_transition
}
fn crawl_boundaries(&self,mut vert_id:MinkowskiVert,infinity_dir:Planar64Vec3,point:Planar64Vec3)->EV{
let mut best_distance_squared={
let diff=point-self.vert(vert_id);
diff.dot(diff)
};
loop{
match self.next_transition_vert(vert_id,&mut best_distance_squared,infinity_dir,point){
Transition::Done=>return self.final_ev(vert_id,&mut best_distance_squared,infinity_dir,point),
Transition::Vert(new_vert_id)=>vert_id=new_vert_id,
}
}
}
/// This function drops a vertex down to an edge or a face if the path from infinity did not cross any vertex-edge boundaries but the point is supposed to have already crossed a boundary down from a vertex
fn infinity_fev(&self,infinity_dir:Planar64Vec3,point:Planar64Vec3)->FEV::<MinkowskiFace,MinkowskiDirectedEdge,MinkowskiVert>{
//start on any vertex
//cross uncrossable vertex-edge boundaries until you find the closest vertex or edge
//cross edge-face boundary if it's uncrossable
match self.crawl_boundaries(self.farthest_vert(infinity_dir),infinity_dir,point){
//if a vert is returned, it is the closest point to the infinity point
EV::Vert(vert_id)=>FEV::<MinkowskiFace,MinkowskiDirectedEdge,MinkowskiVert>::Vert(vert_id),
EV::Edge(edge_id)=>{
//cross to face if the boundary is not crossable and we are on the wrong side
let edge_n=self.edge_n(edge_id);
// point is multiplied by two because vert_sum sums two vertices.
let delta_pos=point*2-{
let &[v0,v1]=self.edge_verts(edge_id).borrow();
self.vert(v0)+self.vert(v1)
};
for (i,&face_id) in self.edge_faces(edge_id).iter().enumerate(){
let face_n=self.face_nd(face_id).0;
//edge-face boundary nd, n facing out of the face towards the edge
let boundary_n=face_n.cross(edge_n)*(i as i64*2-1);
let boundary_d=boundary_n.dot(delta_pos);
//check if time of collision is outside Time::MIN..Time::MAX
//infinity_dir can always be treated as a velocity
if !boundary_d.is_positive()&&boundary_n.dot(infinity_dir).is_zero(){
//both faces cannot pass this condition, return early if one does.
return FEV::<MinkowskiFace,MinkowskiDirectedEdge,MinkowskiVert>::Face(face_id);
}
}
FEV::<MinkowskiFace,MinkowskiDirectedEdge,MinkowskiVert>::Edge(edge_id)
},
}
}
fn closest_fev_not_inside(&self,mut infinity_body:crate::physics::Body)->Option<FEV::<MinkowskiFace,MinkowskiDirectedEdge,MinkowskiVert>>{
infinity_body.infinity_dir().map_or(None,|dir|{
let infinity_fev=self.infinity_fev(-dir,infinity_body.position);
//a line is simpler to solve than a parabola
infinity_body.velocity=dir;
infinity_body.acceleration=vec3::ZERO;
//crawl in from negative infinity along a tangent line to get the closest fev
match crate::face_crawler::crawl_fev(infinity_fev,self,&infinity_body,integer::Time::MIN,infinity_body.time){
crate::face_crawler::CrawlResult::Miss(fev)=>Some(fev),
crate::face_crawler::CrawlResult::Hit(_,_)=>None,
}
})
}
pub fn predict_collision_in(&self,relative_body:&crate::physics::Body,time_limit:integer::Time)->Option<(MinkowskiFace,GigaTime)>{
self.closest_fev_not_inside(relative_body.clone()).map_or(None,|fev|{
//continue forwards along the body parabola
match crate::face_crawler::crawl_fev(fev,self,relative_body,relative_body.time,time_limit){
crate::face_crawler::CrawlResult::Miss(_)=>None,
crate::face_crawler::CrawlResult::Hit(face,time)=>Some((face,time)),
}
})
}
pub fn predict_collision_out(&self,relative_body:&crate::physics::Body,time_limit:integer::Time)->Option<(MinkowskiFace,GigaTime)>{
//create an extrapolated body at time_limit
let infinity_body=crate::physics::Body::new(
relative_body.extrapolated_position(time_limit),
-relative_body.extrapolated_velocity(time_limit),
relative_body.acceleration,
-time_limit,
);
self.closest_fev_not_inside(infinity_body).map_or(None,|fev|{
//continue backwards along the body parabola
match crate::face_crawler::crawl_fev(fev,self,&-relative_body.clone(),-time_limit,-relative_body.time){
crate::face_crawler::CrawlResult::Miss(_)=>None,
crate::face_crawler::CrawlResult::Hit(face,time)=>Some((face,-time)),//no need to test -time<time_limit because of the first step
}
})
}
pub fn predict_collision_face_out(&self,relative_body:&crate::physics::Body,time_limit:integer::Time,contact_face_id:MinkowskiFace)->Option<(MinkowskiEdge,GigaTime)>{
//no algorithm needed, there is only one state and two cases (Edge,None)
//determine when it passes an edge ("sliding off" case)
let mut best_time={
let r=(time_limit-relative_body.time).to_ratio();
Ratio::new(r.num.fix_4(),r.den.fix_4())
};
let mut best_edge=None;
let face_n=self.face_nd(contact_face_id).0;
for &directed_edge_id in self.face_edges(contact_face_id).iter(){
let edge_n=self.directed_edge_n(directed_edge_id);
//f x e points in
let n=face_n.cross(edge_n);
let verts=self.edge_verts(directed_edge_id.as_undirected());
let d=n.dot(self.vert(verts[0])+self.vert(verts[1]));
//WARNING! d outside of *2
//WARNING: truncated precision
for dt in Fixed::<4,128>::zeroes2(((n.dot(relative_body.position))*2-d).fix_4(),n.dot(relative_body.velocity).fix_4()*2,n.dot(relative_body.acceleration).fix_4()){
if dt.num.is_positive()&&dt.lt_ratio(best_time)&&n.dot(relative_body.extrapolated_velocity_ratio_dt(dt)).is_negative(){
best_time=dt;
best_edge=Some(directed_edge_id);
break;
}
}
}
best_edge.map(|e|(e.as_undirected(),best_time))
}
fn infinity_in(&self,infinity_body:crate::physics::Body)->Option<(MinkowskiFace,GigaTime)>{
let infinity_fev=self.infinity_fev(-infinity_body.velocity,infinity_body.position);
match crate::face_crawler::crawl_fev(infinity_fev,self,&infinity_body,integer::Time::MIN,infinity_body.time){
crate::face_crawler::CrawlResult::Miss(_)=>None,
crate::face_crawler::CrawlResult::Hit(face,time)=>Some((face,time)),
}
}
pub fn is_point_in_mesh(&self,point:Planar64Vec3)->bool{
let infinity_body=crate::physics::Body::new(point,vec3::Y,vec3::ZERO,integer::Time::ZERO);
//movement must escape the mesh forwards and backwards in time,
//otherwise the point is not inside the mesh
self.infinity_in(infinity_body)
.is_some_and(|_|
self.infinity_in(-infinity_body)
.is_some()
)
}
}
impl MeshQuery<MinkowskiFace,MinkowskiDirectedEdge,MinkowskiVert> for MinkowskiMesh<'_>{
type Normal=Vector3<Fixed<3,96>>;
type Offset=Fixed<4,128>;
fn face_nd(&self,face_id:MinkowskiFace)->(Self::Normal,Self::Offset){
match face_id{
MinkowskiFace::VertFace(v0,f1)=>{
let (n,d)=self.mesh1.face_nd(f1);
(-n,d-n.dot(self.mesh0.vert(v0)))
},
MinkowskiFace::EdgeEdge(e0,e1,parity)=>{
let edge0_n=self.mesh0.edge_n(e0);
let edge1_n=self.mesh1.edge_n(e1);
let &[e0v0,e0v1]=self.mesh0.edge_verts(e0).borrow();
let &[e1v0,e1v1]=self.mesh1.edge_verts(e1).borrow();
let n=edge0_n.cross(edge1_n);
let e0d=n.dot(self.mesh0.vert(e0v0)+self.mesh0.vert(e0v1));
let e1d=n.dot(self.mesh1.vert(e1v0)+self.mesh1.vert(e1v1));
((n*(parity as i64*4-2)).fix_3(),((e0d-e1d)*(parity as i64*2-1)).fix_4())
},
MinkowskiFace::FaceVert(f0,v1)=>{
let (n,d)=self.mesh0.face_nd(f0);
(n,d-n.dot(self.mesh1.vert(v1)))
},
}
}
fn vert(&self,vert_id:MinkowskiVert)->Planar64Vec3{
match vert_id{
MinkowskiVert::VertVert(v0,v1)=>{
self.mesh0.vert(v0)-self.mesh1.vert(v1)
},
}
}
fn face_edges(&self,face_id:MinkowskiFace)->Cow<Vec<MinkowskiDirectedEdge>>{
match face_id{
MinkowskiFace::VertFace(v0,f1)=>{
Cow::Owned(self.mesh1.face_edges(f1).iter().map(|&edge_id1|{
MinkowskiDirectedEdge::VertEdge(v0,edge_id1.reverse())
}).collect())
},
MinkowskiFace::EdgeEdge(e0,e1,parity)=>{
let e0v=self.mesh0.edge_verts(e0);
let e1v=self.mesh1.edge_verts(e1);
//could sort this if ordered edges are needed
//probably just need to reverse this list according to parity
Cow::Owned(vec![
MinkowskiDirectedEdge::VertEdge(e0v[0],e1.as_directed(parity)),
MinkowskiDirectedEdge::EdgeVert(e0.as_directed(!parity),e1v[0]),
MinkowskiDirectedEdge::VertEdge(e0v[1],e1.as_directed(!parity)),
MinkowskiDirectedEdge::EdgeVert(e0.as_directed(parity),e1v[1]),
])
},
MinkowskiFace::FaceVert(f0,v1)=>{
Cow::Owned(self.mesh0.face_edges(f0).iter().map(|&edge_id0|{
MinkowskiDirectedEdge::EdgeVert(edge_id0,v1)
}).collect())
},
}
}
fn edge_faces(&self,edge_id:MinkowskiEdge)->Cow<[MinkowskiFace;2]>{
match edge_id{
MinkowskiEdge::VertEdge(v0,e1)=>{
//faces are listed backwards from the minkowski mesh
let v0e=self.mesh0.vert_edges(v0);
let &[e1f0,e1f1]=self.mesh1.edge_faces(e1).borrow();
Cow::Owned([(e1f1,false),(e1f0,true)].map(|(edge_face_id1,face_parity)|{
let mut best_edge=None;
let mut best_d:Ratio<Fixed<8,256>,Fixed<8,256>>=Ratio::new(Fixed::ZERO,Fixed::ONE);
let edge_face1_n=self.mesh1.face_nd(edge_face_id1).0;
let edge_face1_nn=edge_face1_n.dot(edge_face1_n);
for &directed_edge_id0 in v0e.iter(){
let edge0_n=self.mesh0.directed_edge_n(directed_edge_id0);
//must be behind other face.
let d=edge_face1_n.dot(edge0_n);
if d.is_negative(){
let edge0_nn=edge0_n.dot(edge0_n);
// Assume not every number is huge
// TODO: revisit this
let dd=(d*d)/(edge_face1_nn*edge0_nn);
if best_d<dd{
best_d=dd;
best_edge=Some(directed_edge_id0);
}
}
}
best_edge.map_or(
MinkowskiFace::VertFace(v0,edge_face_id1),
|directed_edge_id0|MinkowskiFace::EdgeEdge(directed_edge_id0.as_undirected(),e1,directed_edge_id0.parity()^face_parity)
)
}))
},
MinkowskiEdge::EdgeVert(e0,v1)=>{
//tracking index with an external variable because .enumerate() is not available
let v1e=self.mesh1.vert_edges(v1);
let &[e0f0,e0f1]=self.mesh0.edge_faces(e0).borrow();
Cow::Owned([(e0f0,true),(e0f1,false)].map(|(edge_face_id0,face_parity)|{
let mut best_edge=None;
let mut best_d:Ratio<Fixed<8,256>,Fixed<8,256>>=Ratio::new(Fixed::ZERO,Fixed::ONE);
let edge_face0_n=self.mesh0.face_nd(edge_face_id0).0;
let edge_face0_nn=edge_face0_n.dot(edge_face0_n);
for &directed_edge_id1 in v1e.iter(){
let edge1_n=self.mesh1.directed_edge_n(directed_edge_id1);
let d=edge_face0_n.dot(edge1_n);
if d.is_negative(){
let edge1_nn=edge1_n.dot(edge1_n);
let dd=(d*d)/(edge_face0_nn*edge1_nn);
if best_d<dd{
best_d=dd;
best_edge=Some(directed_edge_id1);
}
}
}
best_edge.map_or(
MinkowskiFace::FaceVert(edge_face_id0,v1),
|directed_edge_id1|MinkowskiFace::EdgeEdge(e0,directed_edge_id1.as_undirected(),directed_edge_id1.parity()^face_parity)
)
}))
},
}
}
fn edge_verts(&self,edge_id:MinkowskiEdge)->Cow<[MinkowskiVert;2]>{
match edge_id{
MinkowskiEdge::VertEdge(v0,e1)=>{
Cow::Owned(self.mesh1.edge_verts(e1).map(|vert_id1|{
MinkowskiVert::VertVert(v0,vert_id1)
}))
},
MinkowskiEdge::EdgeVert(e0,v1)=>{
Cow::Owned(self.mesh0.edge_verts(e0).map(|vert_id0|{
MinkowskiVert::VertVert(vert_id0,v1)
}))
},
}
}
fn vert_edges(&self,vert_id:MinkowskiVert)->Cow<Vec<MinkowskiDirectedEdge>>{
match vert_id{
MinkowskiVert::VertVert(v0,v1)=>{
let mut edges=Vec::new();
//detect shared volume when the other mesh is mirrored along a test edge dir
let v0f=self.mesh0.vert_faces(v0);
let v1f=self.mesh1.vert_faces(v1);
let v0f_n:Vec<_>=v0f.iter().map(|&face_id|self.mesh0.face_nd(face_id).0).collect();
let v1f_n:Vec<_>=v1f.iter().map(|&face_id|self.mesh1.face_nd(face_id).0).collect();
let the_len=v0f.len()+v1f.len();
for &directed_edge_id in self.mesh0.vert_edges(v0).iter(){
let n=self.mesh0.directed_edge_n(directed_edge_id);
let nn=n.dot(n);
// TODO: there's gotta be a better way to do this
//make a set of faces
let mut face_normals=Vec::with_capacity(the_len);
//add mesh0 faces as-is
face_normals.clone_from(&v0f_n);
for face_n in &v1f_n{
//add reflected mesh1 faces
face_normals.push(*face_n-(n*face_n.dot(n)*2/nn).divide().fix_3());
}
if is_empty_volume(face_normals){
edges.push(MinkowskiDirectedEdge::EdgeVert(directed_edge_id,v1));
}
}
for &directed_edge_id in self.mesh1.vert_edges(v1).iter(){
let n=self.mesh1.directed_edge_n(directed_edge_id);
let nn=n.dot(n);
let mut face_normals=Vec::with_capacity(the_len);
face_normals.clone_from(&v1f_n);
for face_n in &v0f_n{
face_normals.push(*face_n-(n*face_n.dot(n)*2/nn).divide().fix_3());
}
if is_empty_volume(face_normals){
edges.push(MinkowskiDirectedEdge::VertEdge(v0,directed_edge_id));
}
}
Cow::Owned(edges)
},
}
}
fn vert_faces(&self,_vert_id:MinkowskiVert)->Cow<Vec<MinkowskiFace>>{
unimplemented!()
}
}
fn is_empty_volume(normals:Vec<Vector3<Fixed<3,96>>>)->bool{
let len=normals.len();
for i in 0..len-1{
for j in i+1..len{
let n=normals[i].cross(normals[j]);
let mut d_comp=None;
for k in 0..len{
if k!=i&&k!=j{
let d=n.dot(normals[k]).is_negative();
if let Some(comp)=&d_comp{
// This is testing if d_comp*d < 0
if comp^d{
return true;
}
}else{
d_comp=Some(d);
}
}
}
}
}
return false;
}
#[test]
fn test_is_empty_volume(){
assert!(!is_empty_volume([vec3::X.fix_3(),vec3::Y.fix_3(),vec3::Z.fix_3()].to_vec()));
assert!(is_empty_volume([vec3::X.fix_3(),vec3::Y.fix_3(),vec3::Z.fix_3(),vec3::NEG_X.fix_3()].to_vec()));
}
#[test]
fn build_me_a_cube(){
let mesh=PhysicsMesh::unit_cube();
//println!("mesh={:?}",mesh);
}
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