Struct parry3d::shape::Tetrahedron

#[repr(C)]
pub struct Tetrahedron {
    pub a: Point<Real>,
    pub b: Point<Real>,
    pub c: Point<Real>,
    pub d: Point<Real>,
}

A tetrahedron with 4 vertices.

Fields

a: Point<Real>

The tetrahedron’s first point.

b: Point<Real>

The tetrahedron’s second point.

c: Point<Real>

The tetrahedron’s third point.

d: Point<Real>

The tetrahedron’s fourth point.

Implementations

impl Tetrahedron

pub fn new( a: Point<Real>, b: Point<Real>, c: Point<Real>, d: Point<Real> ) -> Tetrahedron

Creates a tetrahedron from four points.

pub fn from_array(arr: &[Point<Real>; 4]) -> &Tetrahedron

Creates the reference to a tetrahedron from the reference to an array of four points.

pub fn face(&self, i: usize) -> Triangle

Returns the i-th face of this tetrahedron.

The 0-th face is the triangle ABC. The 1-st face is the triangle ABD. The 2-nd face is the triangle ACD. The 3-rd face is the triangle BCD.

pub fn face_ids(i: u32) -> (u32, u32, u32)

Returns the i-th face of this tetrahedron.

The 0-th face is the triangle ABC. The 1-st face is the triangle ABD. The 2-nd face is the triangle ACD. The 3-rd face is the triangle BCD.

pub fn edge(&self, i: u32) -> Segment

Returns the i-th edge of this tetrahedron.

The 0-th edge is the segment AB. The 1-st edge is the segment AC. The 2-nd edge is the segment AD. The 3-rd edge is the segment BC. The 4-th edge is the segment BD. The 5-th edge is the segment CD.

pub fn edge_ids(i: u32) -> (u32, u32)

Returns the indices of the vertices of the i-th edge of this tetrahedron.

The 0-th edge is the segment AB. The 1-st edge is the segment AC. The 2-nd edge is the segment AD. The 3-rd edge is the segment BC. The 4-th edge is the segment BD. The 5-th edge is the segment CD.

pub fn barycentric_coordinates(&self, p: &Point<Real>) -> Option<[Real; 4]>

Computes the barycentric coordinates of the given point in the coordinate system of this tetrahedron.

Returns None if this tetrahedron is degenerate.

pub fn volume(&self) -> Real

Computes the volume of this tetrahedron.

pub fn signed_volume(&self) -> Real

Computes the signed volume of this tetrahedron.

If it is positive, p4 is on the half-space pointed by the normal of the oriented triangle (p1, p2, p3).

pub fn center(&self) -> Point<Real>

Computes the center of this tetrahedron.

Trait Implementations

impl Clone for Tetrahedron

fn clone(&self) -> Tetrahedron

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Tetrahedron

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl PointQuery for Tetrahedron

fn project_local_point(&self, pt: &Point<Real>, solid: bool) -> PointProjection

Projects a point on self.

fn project_local_point_and_get_feature( &self, pt: &Point<Real> ) -> (PointProjection, FeatureId)

Projects a point on the boundary of self and returns the id of the feature the point was projected on.

fn project_local_point_with_max_dist( &self, pt: &Point<Real>, solid: bool, max_dist: Real ) -> Option<PointProjection>

Projects a point on self, unless the projection lies further than the given max distance.

fn project_point_with_max_dist( &self, m: &Isometry<Real>, pt: &Point<Real>, solid: bool, max_dist: Real ) -> Option<PointProjection>

Projects a point on self transformed by m, unless the projection lies further than the given max distance.

fn distance_to_local_point(&self, pt: &Point<Real>, solid: bool) -> Real

Computes the minimal distance between a point and self.

fn contains_local_point(&self, pt: &Point<Real>) -> bool

Tests if the given point is inside of self.

fn project_point( &self, m: &Isometry<Real>, pt: &Point<Real>, solid: bool ) -> PointProjection

Projects a point on self transformed by m.

fn distance_to_point( &self, m: &Isometry<Real>, pt: &Point<Real>, solid: bool ) -> Real

Computes the minimal distance between a point and self transformed by m.

fn project_point_and_get_feature( &self, m: &Isometry<Real>, pt: &Point<Real> ) -> (PointProjection, FeatureId)

Projects a point on the boundary of self transformed by m and returns the id of the feature the point was projected on.

fn contains_point(&self, m: &Isometry<Real>, pt: &Point<Real>) -> bool

Tests if the given point is inside of self transformed by m.

impl PointQueryWithLocation for Tetrahedron

type Location = TetrahedronPointLocation

Additional shape-specific projection information

fn project_local_point_and_get_location( &self, pt: &Point<Real>, solid: bool ) -> (PointProjection, Self::Location)

Projects a point on self.

fn project_point_and_get_location( &self, m: &Isometry<Real>, pt: &Point<Real>, solid: bool ) -> (PointProjection, Self::Location)

Projects a point on self transformed by m.

fn project_local_point_and_get_location_with_max_dist( &self, pt: &Point<Real>, solid: bool, max_dist: Real ) -> Option<(PointProjection, Self::Location)>

Projects a point on self, with a maximum projection distance.

fn project_point_and_get_location_with_max_dist( &self, m: &Isometry<Real>, pt: &Point<Real>, solid: bool, max_dist: Real ) -> Option<(PointProjection, Self::Location)>

Projects a point on self transformed by m, with a maximum projection distance.

impl Copy for Tetrahedron