nalgebra/src/geometry/point_alga.rs

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use alga::general::{Field, JoinSemilattice, Lattice, MeetSemilattice, Real};
use alga::linear::{AffineSpace, EuclideanSpace};
use core::{DefaultAllocator, Scalar, VectorN};
use core::dimension::DimName;
use core::allocator::Allocator;
use geometry::Point;
impl<N: Scalar + Field, D: DimName> AffineSpace for Point<N, D>
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where
N: Scalar + Field,
DefaultAllocator: Allocator<N, D>,
{
type Translation = VectorN<N, D>;
}
impl<N: Real, D: DimName> EuclideanSpace for Point<N, D>
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where
DefaultAllocator: Allocator<N, D>,
{
type Coordinates = VectorN<N, D>;
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type Real = N;
#[inline]
fn origin() -> Self {
Self::origin()
}
#[inline]
fn coordinates(&self) -> Self::Coordinates {
self.coords.clone()
}
#[inline]
fn from_coordinates(coords: Self::Coordinates) -> Self {
Self::from_coordinates(coords)
}
#[inline]
fn scale_by(&self, n: N) -> Self {
self * n
}
}
/*
*
* Ordering
*
*/
impl<N, D: DimName> MeetSemilattice for Point<N, D>
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where
N: Scalar + MeetSemilattice,
DefaultAllocator: Allocator<N, D>,
{
#[inline]
fn meet(&self, other: &Self) -> Self {
Point::from_coordinates(self.coords.meet(&other.coords))
}
}
impl<N, D: DimName> JoinSemilattice for Point<N, D>
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where
N: Scalar + JoinSemilattice,
DefaultAllocator: Allocator<N, D>,
{
#[inline]
fn join(&self, other: &Self) -> Self {
Point::from_coordinates(self.coords.join(&other.coords))
}
}
impl<N, D: DimName> Lattice for Point<N, D>
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where
N: Scalar + Lattice,
DefaultAllocator: Allocator<N, D>,
{
#[inline]
fn meet_join(&self, other: &Self) -> (Self, Self) {
let (meet, join) = self.coords.meet_join(&other.coords);
(Point::from_coordinates(meet), Point::from_coordinates(join))
}
}