Struct ProjectivePoint 

pub struct ProjectivePoint {
    pub coords: Vec<i64>,
}

A point in projective space P^n represented by homogeneous coordinates.

The coordinates are stored as a vector of i64; the actual point is the equivalence class [x₀ : x₁ : … : xₙ] where not all xᵢ are zero.

Fields

coords: Vec<i64>

Homogeneous coordinates [x₀ : x₁ : … : xₙ].

Implementations

impl ProjectivePoint

pub fn new(coords: Vec<i64>) -> Option<Self>

Create a new projective point from homogeneous coordinates. Returns None if all coordinates are zero.

pub fn dim(&self) -> usize

The projective dimension (length of coords minus one).

pub fn normalize(&self) -> Self

Normalize by dividing by the GCD of the coordinates (keeping the first nonzero positive).

pub fn equiv(&self, other: &ProjectivePoint) -> bool

Check if two projective points represent the same element of P^n.

Trait Implementations

impl Clone for ProjectivePoint

fn clone(&self) -> ProjectivePoint

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for ProjectivePoint

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

Formats the value using the given formatter.

impl Display for ProjectivePoint

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

Formats the value using the given formatter.

impl PartialEq for ProjectivePoint

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl Eq for ProjectivePoint

impl StructuralPartialEq for ProjectivePoint