nalgebra/src/geometry/point_ops.rs

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use num::{One, Zero};
use std::ops::{
Add, AddAssign, Div, DivAssign, Index, IndexMut, Mul, MulAssign, Neg, Sub, SubAssign,
};
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use simba::scalar::{ClosedAdd, ClosedDiv, ClosedMul, ClosedNeg, ClosedSub};
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use crate::base::constraint::{
AreMultipliable, SameNumberOfColumns, SameNumberOfRows, ShapeConstraint,
};
use crate::base::dimension::{Dim, DimName, U1};
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use crate::base::storage::Storage;
use crate::base::{Const, Matrix, OVector, Scalar, Vector};
use crate::allocator::Allocator;
use crate::geometry::{OPoint, Point};
use crate::DefaultAllocator;
/*
*
* Indexing.
*
*/
impl<T: Scalar, D: DimName> Index<usize> for OPoint<T, D>
where
DefaultAllocator: Allocator<T, D>,
{
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type Output = T;
#[inline]
fn index(&self, i: usize) -> &Self::Output {
&self.coords[i]
}
}
impl<T: Scalar, D: DimName> IndexMut<usize> for OPoint<T, D>
where
DefaultAllocator: Allocator<T, D>,
{
#[inline]
fn index_mut(&mut self, i: usize) -> &mut Self::Output {
&mut self.coords[i]
}
}
/*
*
* Neg.
*
*/
impl<T: Scalar + ClosedNeg, D: DimName> Neg for OPoint<T, D>
where
DefaultAllocator: Allocator<T, D>,
{
type Output = Self;
#[inline]
fn neg(self) -> Self::Output {
Self::Output::from(-self.coords)
}
}
impl<'a, T: Scalar + ClosedNeg, D: DimName> Neg for &'a OPoint<T, D>
where
DefaultAllocator: Allocator<T, D>,
{
type Output = OPoint<T, D>;
#[inline]
fn neg(self) -> Self::Output {
Self::Output::from(-&self.coords)
}
}
/*
*
* Subtraction & Addition.
*
*/
// Point - Point
add_sub_impl!(Sub, sub, ClosedSub;
(D, U1), (D, U1) -> (D, U1)
const; for D; where D: DimName, DefaultAllocator: Allocator<T, D>;
self: &'a OPoint<T, D>, right: &'b OPoint<T, D>, Output = OVector<T, D>;
&self.coords - &right.coords; 'a, 'b);
add_sub_impl!(Sub, sub, ClosedSub;
(D, U1), (D, U1) -> (D, U1)
const; for D; where D: DimName, DefaultAllocator: Allocator<T, D>;
self: &'a OPoint<T, D>, right: OPoint<T, D>, Output = OVector<T, D>;
&self.coords - right.coords; 'a);
add_sub_impl!(Sub, sub, ClosedSub;
(D, U1), (D, U1) -> (D, U1)
const; for D; where D: DimName, DefaultAllocator: Allocator<T, D>;
self: OPoint<T, D>, right: &'b OPoint<T, D>, Output = OVector<T, D>;
self.coords - &right.coords; 'b);
add_sub_impl!(Sub, sub, ClosedSub;
(D, U1), (D, U1) -> (D, U1)
const; for D; where D: DimName, DefaultAllocator: Allocator<T, D>;
self: OPoint<T, D>, right: OPoint<T, D>, Output = OVector<T, D>;
self.coords - right.coords; );
// Point - Vector
add_sub_impl!(Sub, sub, ClosedSub;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: &'a OPoint<T, D1>, right: &'b Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(&self.coords - right); 'a, 'b);
add_sub_impl!(Sub, sub, ClosedSub;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: &'a OPoint<T, D1>, right: Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(&self.coords - &right); 'a); // TODO: should not be a ref to `right`.
add_sub_impl!(Sub, sub, ClosedSub;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: OPoint<T, D1>, right: &'b Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(self.coords - right); 'b);
add_sub_impl!(Sub, sub, ClosedSub;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: OPoint<T, D1>, right: Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(self.coords - right); );
// Point + Vector
add_sub_impl!(Add, add, ClosedAdd;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: &'a OPoint<T, D1>, right: &'b Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(&self.coords + right); 'a, 'b);
add_sub_impl!(Add, add, ClosedAdd;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: &'a OPoint<T, D1>, right: Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(&self.coords + &right); 'a); // TODO: should not be a ref to `right`.
add_sub_impl!(Add, add, ClosedAdd;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: OPoint<T, D1>, right: &'b Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(self.coords + right); 'b);
add_sub_impl!(Add, add, ClosedAdd;
(D1, U1), (D2, U1) -> (D1, U1)
const;
for D1, D2, SB;
where D1: DimName, D2: Dim, SB: Storage<T, D2>, DefaultAllocator: Allocator<T, D1>;
self: OPoint<T, D1>, right: Vector<T, D2, SB>, Output = OPoint<T, D1>;
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Self::Output::from(self.coords + right); );
// TODO: replace by the shared macro: add_sub_assign_impl?
macro_rules! op_assign_impl(
($($TraitAssign: ident, $method_assign: ident, $bound: ident);* $(;)*) => {$(
impl<'b, T, D1: DimName, D2: Dim, SB> $TraitAssign<&'b Vector<T, D2, SB>> for OPoint<T, D1>
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where T: Scalar + $bound,
SB: Storage<T, D2>,
ShapeConstraint: SameNumberOfRows<D1, D2>,
DefaultAllocator: Allocator<T, D1> {
#[inline]
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fn $method_assign(&mut self, right: &'b Vector<T, D2, SB>) {
self.coords.$method_assign(right)
}
}
impl<T, D1: DimName, D2: Dim, SB> $TraitAssign<Vector<T, D2, SB>> for OPoint<T, D1>
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where T: Scalar + $bound,
SB: Storage<T, D2>,
ShapeConstraint: SameNumberOfRows<D1, D2>,
DefaultAllocator: Allocator<T, D1> {
#[inline]
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fn $method_assign(&mut self, right: Vector<T, D2, SB>) {
self.coords.$method_assign(right)
}
}
)*}
);
op_assign_impl!(
AddAssign, add_assign, ClosedAdd;
SubAssign, sub_assign, ClosedSub;
);
/*
*
* Matrix × Point
*
*/
md_impl_all!(
Mul, mul;
(Const<R1>, Const<C1>), (Const<D2>, U1)
const D2, R1, C1;
for SA;
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where SA: Storage<T, Const<R1>, Const<C1>>,
ShapeConstraint: AreMultipliable<Const<R1>, Const<C1>, Const<D2>, U1>;
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self: Matrix<T, Const<R1>, Const<C1>, SA>, right: Point<T, D2>, Output = Point<T, R1>;
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[val val] => Point::from(self * right.coords);
[ref val] => Point::from(self * right.coords);
[val ref] => Point::from(self * &right.coords);
[ref ref] => Point::from(self * &right.coords);
);
/*
*
* Point ×/÷ Scalar
*
*/
macro_rules! componentwise_scalarop_impl(
($Trait: ident, $method: ident, $bound: ident;
$TraitAssign: ident, $method_assign: ident) => {
impl<T: Scalar + $bound, D: DimName> $Trait<T> for OPoint<T, D>
where DefaultAllocator: Allocator<T, D>
{
type Output = OPoint<T, D>;
#[inline]
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fn $method(self, right: T) -> Self::Output {
OPoint::from(self.coords.$method(right))
}
}
impl<'a, T: Scalar + $bound, D: DimName> $Trait<T> for &'a OPoint<T, D>
where DefaultAllocator: Allocator<T, D>
{
type Output = OPoint<T, D>;
#[inline]
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fn $method(self, right: T) -> Self::Output {
OPoint::from((&self.coords).$method(right))
}
}
impl<T: Scalar + $bound, D: DimName> $TraitAssign<T> for OPoint<T, D>
where DefaultAllocator: Allocator<T, D>
{
#[inline]
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fn $method_assign(&mut self, right: T) {
self.coords.$method_assign(right)
}
}
}
);
componentwise_scalarop_impl!(Mul, mul, ClosedMul; MulAssign, mul_assign);
componentwise_scalarop_impl!(Div, div, ClosedDiv; DivAssign, div_assign);
macro_rules! left_scalar_mul_impl(
($($T: ty),* $(,)*) => {$(
impl<D: DimName> Mul<OPoint<$T, D>> for $T
where DefaultAllocator: Allocator<$T, D>
{
type Output = OPoint<$T, D>;
#[inline]
fn mul(self, right: OPoint<$T, D>) -> Self::Output {
OPoint::from(self * right.coords)
}
}
impl<'b, D: DimName> Mul<&'b OPoint<$T, D>> for $T
where DefaultAllocator: Allocator<$T, D>
{
type Output = OPoint<$T, D>;
#[inline]
fn mul(self, right: &'b OPoint<$T, D>) -> Self::Output {
OPoint::from(self * &right.coords)
}
}
)*}
);
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left_scalar_mul_impl!(u8, u16, u32, u64, usize, i8, i16, i32, i64, isize, f32, f64);