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use prelude::*;
use std::cmp::{min, max};
use std::collections::HashMap;
pub fn linear<V, MI, MO>(mi: &MI) -> Result<(MO)> where
    MI: IsMesh<V, Face3>,
    MO: IsFaceEditableMesh<V, Face3> + IsVertexEditableMesh<V, Face3> + Default,
    V:  IsBuildableND {
    
    let mut mo = MO::default();
    
    let n_vertices      = mi.num_vertices();
    let n_faces         = mi.num_faces();
    let mut added_edges = HashMap::new();
    
    for i in 0..n_vertices {
        mo.add_vertex(mi.vertex(VId{val: i})?);
    }
    
    for i in 0..n_faces {
        let f               = mi.face_vertex_ids(FId{val:i})?;
        let (vi1, vi2, vi3) = (f.get_vid(0)?, f.get_vid(1)?, f.get_vid(2)?);
        let (v1, v2, v3)    = mi.face_vertices(FId{ val:i })?;
        
        let ia = *added_edges.entry((min(vi1, vi2), max(vi1, vi2))).or_insert_with(|| mo.add_vertex(v1.center(&v2).unwrap()));
        let ib = *added_edges.entry((min(vi2, vi3), max(vi2, vi3))).or_insert_with(|| mo.add_vertex(v2.center(&v3).unwrap()));
        let ic = *added_edges.entry((min(vi3, vi1), max(vi3, vi1))).or_insert_with(|| mo.add_vertex(v3.center(&v1).unwrap()));
        
        mo.try_add_connection(vi1, ia, ic)?;
        mo.try_add_connection(ia, vi2, ib)?;
        mo.try_add_connection(ia, ib, ic)?;
        mo.try_add_connection(ic, ib, vi3)?;      
    }
    
    Ok(mo)
}