Struct PgaLine 

#[repr(C, align(32))]
pub struct PgaLine {
    pub vx: f32,
    pub vy: f32,
    pub vz: f32,
    pub mx: f32,
    pub my: f32,
    pub mz: f32,
    pub _pad0: f32,
    pub _pad1: f32,
}

Line in 3D Projective Geometric Algebra Cl*(3, 0, 1) (Plücker bivector). Composed of Euclidean direction (vx, vy, vz) and moment (mx, my, mz) about origin. Plücker condition: vxmx + vymy + vz*mz = 0.

Fields

vx: f32

vy: f32

vz: f32

mx: f32

my: f32

mz: f32

_pad0: f32

_pad1: f32

Implementations

impl PgaLine

pub const fn new(vx: f32, vy: f32, vz: f32, mx: f32, my: f32, mz: f32) -> Self

Constructs a Plücker line from direction and moment components.

pub const fn from_direction_and_moment(dir: [f32; 3], mom: [f32; 3]) -> Self

Constructs a Plücker line from direction and moment arrays.

pub const fn x_axis() -> Self

Canonical X axis line through origin.

pub const fn y_axis() -> Self

Canonical Y axis line through origin.

pub const fn z_axis() -> Self

Canonical Z axis line through origin.

pub fn from_point_and_direction(point: &[f32; 3], dir: &[f32; 3]) -> Self

Constructs a line through a point with a given direction.

pub const fn direction(&self) -> [f32; 3]

Direction vector [vx, vy, vz].

pub const fn moment(&self) -> [f32; 3]

Moment vector [mx, my, mz].

pub fn norm(&self) -> f32

Direction norm ||v||.

pub fn normalized(&self) -> Self

Returns a normalized line with unit direction ||v|| = 1.

pub fn closest_point_to_origin(&self) -> PgaPoint

Returns the point on the line closest to the coordinate origin.

pub fn project_point(&self, p: &PgaPoint) -> PgaPoint

Orthogonal projection of an affine point onto the line.

pub fn distance_to_point(&self, p: &PgaPoint) -> f32

Perpendicular distance from an affine point to the line.

pub fn meet_plane(&self, plane: &PgaPlane) -> PgaPoint

Computes the intersection point between this line and a plane (meet \vee).

Trait Implementations

impl Add for PgaLine

type Output = PgaLine

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self

Performs the + operation.

impl Clone for PgaLine

fn clone(&self) -> Self

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for PgaLine

impl Debug for PgaLine

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

Formats the value using the given formatter.

impl Default for PgaLine

fn default() -> Self

Returns the “default value” for a type.

impl Div<f32> for PgaLine

type Output = PgaLine

The resulting type after applying the / operator.

fn div(self, rhs: f32) -> Self

Performs the / operation.

impl Mul<f32> for PgaLine

type Output = PgaLine

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Self

Performs the * operation.

impl Neg for PgaLine

type Output = PgaLine

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for PgaLine

fn eq(&self, other: &Self) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for PgaLine

impl Sub for PgaLine

type Output = PgaLine

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self

Performs the - operation.