<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="Source of the Rust file `/Users/erlendbasso/.cargo/registry/src/github.com-1ecc6299db9ec823/nalgebra-0.32.1/src/geometry/point.rs`."><meta name="keywords" content="rust, rustlang, rust-lang"><title>point.rs - source</title><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Regular-1f7d512b176f0f72.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Regular-018c141bf0843ffd.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/FiraSans-Medium-8f9a781e4970d388.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Regular-562dcc5011b6de7d.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceSerif4-Bold-124a1ca42af929b6.ttf.woff2"><link rel="preload" as="font" type="font/woff2" crossorigin href="../../../static.files/SourceCodePro-Semibold-d899c5a5c4aeb14a.ttf.woff2"><link rel="stylesheet" href="../../../static.files/normalize-76eba96aa4d2e634.css"><link rel="stylesheet" href="../../../static.files/rustdoc-6827029ac823cab7.css" id="mainThemeStyle"><link rel="stylesheet" id="themeStyle" href="../../../static.files/light-ebce58d0a40c3431.css"><link rel="stylesheet" disabled href="../../../static.files/dark-f23faae4a2daf9a6.css"><link rel="stylesheet" disabled href="../../../static.files/ayu-8af5e100b21cd173.css"><script id="default-settings" ></script><script src="../../../static.files/storage-d43fa987303ecbbb.js"></script><script defer src="../../../static.files/source-script-5cf2e01a42cc9858.js"></script><script defer src="../../../source-files.js"></script><script defer src="../../../static.files/main-c55e1eb52e1886b4.js"></script><noscript><link rel="stylesheet" href="../../../static.files/noscript-13285aec31fa243e.css"></noscript><link rel="icon" href="https://nalgebra.org/img/favicon.ico"></head><body class="rustdoc source"><!--[if lte IE 11]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"></nav><main><div class="width-limiter"><nav class="sub"><a class="sub-logo-container" href="../../../nalgebra/index.html"><img class="rust-logo" src="../../../static.files/rust-logo-151179464ae7ed46.svg" alt="logo"></a><form class="search-form"><span></span><input class="search-input" name="search" aria-label="Run search in the documentation" autocomplete="off" spellcheck="false" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><div id="help-button" title="help" tabindex="-1"><a href="../../../help.html">?</a></div><div id="settings-menu" tabindex="-1"><a href="../../../settings.html" title="settings"><img width="22" height="22" alt="Change settings" src="../../../static.files/wheel-5ec35bf9ca753509.svg"></a></div></form></nav><section id="main-content" class="content"><div class="example-wrap"><pre class="src-line-numbers"><a href="#1" id="1">1</a>
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</pre><pre class="rust"><code><span class="kw">use </span>approx::{AbsDiffEq, RelativeEq, UlpsEq};
<span class="kw">use </span>num::One;
<span class="kw">use </span>std::cmp::Ordering;
<span class="kw">use </span>std::fmt;
<span class="kw">use </span>std::hash;
<span class="attr">#[cfg(feature = <span class="string">"serde-serialize-no-std"</span>)]
</span><span class="kw">use </span>serde::{Deserialize, Deserializer, Serialize, Serializer};
<span class="kw">use </span>simba::simd::SimdPartialOrd;
<span class="kw">use </span><span class="kw">crate</span>::base::allocator::Allocator;
<span class="kw">use </span><span class="kw">crate</span>::base::dimension::{DimName, DimNameAdd, DimNameSum, U1};
<span class="kw">use </span><span class="kw">crate</span>::base::iter::{MatrixIter, MatrixIterMut};
<span class="kw">use </span><span class="kw">crate</span>::base::{Const, DefaultAllocator, OVector, Scalar};
<span class="kw">use </span>std::mem::MaybeUninit;
<span class="doccomment">/// A point in an euclidean space.
///
/// The difference between a point and a vector is only semantic. See [the user guide](https://www.nalgebra.org/docs/user_guide/points_and_transformations)
/// for details on the distinction. The most notable difference that vectors ignore translations.
/// In particular, an [`Isometry2`](crate::Isometry2) or [`Isometry3`](crate::Isometry3) will
/// transform points by applying a rotation and a translation on them. However, these isometries
/// will only apply rotations to vectors (when doing `isometry * vector`, the translation part of
/// the isometry is ignored).
///
/// # Construction
/// * [From individual components <span style="float:right;">`new`…</span>](#construction-from-individual-components)
/// * [Swizzling <span style="float:right;">`xx`, `yxz`…</span>](#swizzling)
/// * [Other construction methods <span style="float:right;">`origin`, `from_slice`, `from_homogeneous`…</span>](#other-construction-methods)
///
/// # Transformation
/// Transforming a point by an [Isometry](crate::Isometry), [rotation](crate::Rotation), etc. can be
/// achieved by multiplication, e.g., `isometry * point` or `rotation * point`. Some of these transformation
/// may have some other methods, e.g., `isometry.inverse_transform_point(&point)`. See the documentation
/// of said transformations for details.
</span><span class="attr">#[repr(C)]
#[derive(Clone)]
#[cfg_attr(feature = <span class="string">"rkyv-serialize"</span>, derive(bytecheck::CheckBytes))]
#[cfg_attr(
feature = <span class="string">"rkyv-serialize-no-std"</span>,
derive(rkyv::Archive, rkyv::Serialize, rkyv::Deserialize),
archive(
<span class="kw">as </span>= <span class="string">"OPoint<T::Archived, D>"</span>,
bound(archive = <span class="string">"
T: rkyv::Archive,
T::Archived: Scalar,
OVector<T, D>: rkyv::Archive<Archived = OVector<T::Archived, D>>,
DefaultAllocator: Allocator<T::Archived, D>,
"</span>)
)
)]
</span><span class="kw">pub struct </span>OPoint<T: Scalar, D: DimName>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="doccomment">/// The coordinates of this point, i.e., the shift from the origin.
</span><span class="kw">pub </span>coords: OVector<T, D>,
}
<span class="kw">impl</span><T: Scalar + fmt::Debug, D: DimName> fmt::Debug <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, formatter: <span class="kw-2">&mut </span>fmt::Formatter<<span class="lifetime">'_</span>>) -> <span class="prelude-ty">Result</span><(), fmt::Error> {
<span class="self">self</span>.coords.as_slice().fmt(formatter)
}
}
<span class="kw">impl</span><T: Scalar + hash::Hash, D: DimName> hash::Hash <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="kw">fn </span>hash<H: hash::Hasher>(<span class="kw-2">&</span><span class="self">self</span>, state: <span class="kw-2">&mut </span>H) {
<span class="self">self</span>.coords.hash(state)
}
}
<span class="kw">impl</span><T: Scalar + Copy, D: DimName> Copy <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
OVector<T, D>: Copy,
{
}
<span class="attr">#[cfg(feature = <span class="string">"cuda"</span>)]
</span><span class="kw">unsafe impl</span><T: Scalar + cust_core::DeviceCopy, D: DimName> cust_core::DeviceCopy <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
OVector<T, D>: cust_core::DeviceCopy,
{
}
<span class="attr">#[cfg(feature = <span class="string">"bytemuck"</span>)]
</span><span class="kw">unsafe impl</span><T: Scalar, D: DimName> bytemuck::Zeroable <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>OVector<T, D>: bytemuck::Zeroable,
DefaultAllocator: Allocator<T, D>,
{
}
<span class="attr">#[cfg(feature = <span class="string">"bytemuck"</span>)]
</span><span class="kw">unsafe impl</span><T: Scalar, D: DimName> bytemuck::Pod <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>T: Copy,
OVector<T, D>: bytemuck::Pod,
DefaultAllocator: Allocator<T, D>,
{
}
<span class="attr">#[cfg(feature = <span class="string">"serde-serialize-no-std"</span>)]
</span><span class="kw">impl</span><T: Scalar, D: DimName> Serialize <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
<DefaultAllocator <span class="kw">as </span>Allocator<T, D>>::Buffer: Serialize,
{
<span class="kw">fn </span>serialize<S>(<span class="kw-2">&</span><span class="self">self</span>, serializer: S) -> <span class="prelude-ty">Result</span><S::Ok, S::Error>
<span class="kw">where
</span>S: Serializer,
{
<span class="self">self</span>.coords.serialize(serializer)
}
}
<span class="attr">#[cfg(feature = <span class="string">"serde-serialize-no-std"</span>)]
</span><span class="kw">impl</span><<span class="lifetime">'a</span>, T: Scalar, D: DimName> Deserialize<<span class="lifetime">'a</span>> <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
<DefaultAllocator <span class="kw">as </span>Allocator<T, D>>::Buffer: Deserialize<<span class="lifetime">'a</span>>,
{
<span class="kw">fn </span>deserialize<Des>(deserializer: Des) -> <span class="prelude-ty">Result</span><<span class="self">Self</span>, Des::Error>
<span class="kw">where
</span>Des: Deserializer<<span class="lifetime">'a</span>>,
{
<span class="kw">let </span>coords = OVector::<T, D>::deserialize(deserializer)<span class="question-mark">?</span>;
<span class="prelude-val">Ok</span>(<span class="self">Self</span>::from(coords))
}
}
<span class="kw">impl</span><T: Scalar, D: DimName> OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="doccomment">/// Returns a point containing the result of `f` applied to each of its entries.
///
/// # Example
/// ```
/// # use nalgebra::{Point2, Point3};
/// let p = Point2::new(1.0, 2.0);
/// assert_eq!(p.map(|e| e * 10.0), Point2::new(10.0, 20.0));
///
/// // This works in any dimension.
/// let p = Point3::new(1.1, 2.1, 3.1);
/// assert_eq!(p.map(|e| e as u32), Point3::new(1, 2, 3));
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>map<T2: Scalar, F: FnMut(T) -> T2>(<span class="kw-2">&</span><span class="self">self</span>, f: F) -> OPoint<T2, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T2, D>,
{
<span class="self">self</span>.coords.map(f).into()
}
<span class="doccomment">/// Replaces each component of `self` by the result of a closure `f` applied on it.
///
/// # Example
/// ```
/// # use nalgebra::{Point2, Point3};
/// let mut p = Point2::new(1.0, 2.0);
/// p.apply(|e| *e = *e * 10.0);
/// assert_eq!(p, Point2::new(10.0, 20.0));
///
/// // This works in any dimension.
/// let mut p = Point3::new(1.0, 2.0, 3.0);
/// p.apply(|e| *e = *e * 10.0);
/// assert_eq!(p, Point3::new(10.0, 20.0, 30.0));
/// ```
</span><span class="attr">#[inline]
</span><span class="kw">pub fn </span>apply<F: FnMut(<span class="kw-2">&mut </span>T)>(<span class="kw-2">&mut </span><span class="self">self</span>, f: F) {
<span class="self">self</span>.coords.apply(f)
}
<span class="doccomment">/// Converts this point into a vector in homogeneous coordinates, i.e., appends a `1` at the
/// end of it.
///
/// This is the same as `.into()`.
///
/// # Example
/// ```
/// # use nalgebra::{Point2, Point3, Vector3, Vector4};
/// let p = Point2::new(10.0, 20.0);
/// assert_eq!(p.to_homogeneous(), Vector3::new(10.0, 20.0, 1.0));
///
/// // This works in any dimension.
/// let p = Point3::new(10.0, 20.0, 30.0);
/// assert_eq!(p.to_homogeneous(), Vector4::new(10.0, 20.0, 30.0, 1.0));
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>to_homogeneous(<span class="kw-2">&</span><span class="self">self</span>) -> OVector<T, DimNameSum<D, U1>>
<span class="kw">where
</span>T: One,
D: DimNameAdd<U1>,
DefaultAllocator: Allocator<T, DimNameSum<D, U1>>,
{
<span class="comment">// TODO: this is mostly a copy-past from Vector::push.
// But we can’t use Vector::push because of the DimAdd bound
// (which we don’t use because we use DimNameAdd).
// We should find a way to re-use Vector::push.
</span><span class="kw">let </span>len = <span class="self">self</span>.len();
<span class="kw">let </span><span class="kw-2">mut </span>res = <span class="kw">crate</span>::Matrix::uninit(DimNameSum::<D, U1>::name(), Const::<<span class="number">1</span>>);
<span class="comment">// This is basically a copy_from except that we warp the copied
// values into MaybeUninit.
</span>res.generic_view_mut((<span class="number">0</span>, <span class="number">0</span>), <span class="self">self</span>.coords.shape_generic())
.zip_apply(<span class="kw-2">&</span><span class="self">self</span>.coords, |out, e| <span class="kw-2">*</span>out = MaybeUninit::new(e));
res[(len, <span class="number">0</span>)] = MaybeUninit::new(T::one());
<span class="comment">// Safety: res has been fully initialized.
</span><span class="kw">unsafe </span>{ res.assume_init() }
}
<span class="doccomment">/// Creates a new point with the given coordinates.
</span><span class="attr">#[deprecated(note = <span class="string">"Use Point::from(vector) instead."</span>)]
#[inline]
</span><span class="kw">pub fn </span>from_coordinates(coords: OVector<T, D>) -> <span class="self">Self </span>{
<span class="self">Self </span>{ coords }
}
<span class="doccomment">/// The dimension of this point.
///
/// # Example
/// ```
/// # use nalgebra::{Point2, Point3};
/// let p = Point2::new(1.0, 2.0);
/// assert_eq!(p.len(), 2);
///
/// // This works in any dimension.
/// let p = Point3::new(10.0, 20.0, 30.0);
/// assert_eq!(p.len(), 3);
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>len(<span class="kw-2">&</span><span class="self">self</span>) -> usize {
<span class="self">self</span>.coords.len()
}
<span class="doccomment">/// Returns true if the point contains no elements.
///
/// # Example
/// ```
/// # use nalgebra::{Point2, Point3};
/// let p = Point2::new(1.0, 2.0);
/// assert!(!p.is_empty());
/// ```
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>is_empty(<span class="kw-2">&</span><span class="self">self</span>) -> bool {
<span class="self">self</span>.len() == <span class="number">0
</span>}
<span class="doccomment">/// The stride of this point. This is the number of buffer element separating each component of
/// this point.
</span><span class="attr">#[inline]
#[deprecated(note = <span class="string">"This methods is no longer significant and will always return 1."</span>)]
</span><span class="kw">pub fn </span>stride(<span class="kw-2">&</span><span class="self">self</span>) -> usize {
<span class="self">self</span>.coords.strides().<span class="number">0
</span>}
<span class="doccomment">/// Iterates through this point coordinates.
///
/// # Example
/// ```
/// # use nalgebra::Point3;
/// let p = Point3::new(1.0, 2.0, 3.0);
/// let mut it = p.iter().cloned();
///
/// assert_eq!(it.next(), Some(1.0));
/// assert_eq!(it.next(), Some(2.0));
/// assert_eq!(it.next(), Some(3.0));
/// assert_eq!(it.next(), None);
/// ```
</span><span class="attr">#[inline]
</span><span class="kw">pub fn </span>iter(
<span class="kw-2">&</span><span class="self">self</span>,
) -> MatrixIter<<span class="lifetime">'_</span>, T, D, Const<<span class="number">1</span>>, <DefaultAllocator <span class="kw">as </span>Allocator<T, D>>::Buffer> {
<span class="self">self</span>.coords.iter()
}
<span class="doccomment">/// Gets a reference to i-th element of this point without bound-checking.
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub unsafe fn </span>get_unchecked(<span class="kw-2">&</span><span class="self">self</span>, i: usize) -> <span class="kw-2">&</span>T {
<span class="self">self</span>.coords.vget_unchecked(i)
}
<span class="doccomment">/// Mutably iterates through this point coordinates.
///
/// # Example
/// ```
/// # use nalgebra::Point3;
/// let mut p = Point3::new(1.0, 2.0, 3.0);
///
/// for e in p.iter_mut() {
/// *e *= 10.0;
/// }
///
/// assert_eq!(p, Point3::new(10.0, 20.0, 30.0));
/// ```
</span><span class="attr">#[inline]
</span><span class="kw">pub fn </span>iter_mut(
<span class="kw-2">&mut </span><span class="self">self</span>,
) -> MatrixIterMut<<span class="lifetime">'_</span>, T, D, Const<<span class="number">1</span>>, <DefaultAllocator <span class="kw">as </span>Allocator<T, D>>::Buffer> {
<span class="self">self</span>.coords.iter_mut()
}
<span class="doccomment">/// Gets a mutable reference to i-th element of this point without bound-checking.
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub unsafe fn </span>get_unchecked_mut(<span class="kw-2">&mut </span><span class="self">self</span>, i: usize) -> <span class="kw-2">&mut </span>T {
<span class="self">self</span>.coords.vget_unchecked_mut(i)
}
<span class="doccomment">/// Swaps two entries without bound-checking.
</span><span class="attr">#[inline]
</span><span class="kw">pub unsafe fn </span>swap_unchecked(<span class="kw-2">&mut </span><span class="self">self</span>, i1: usize, i2: usize) {
<span class="self">self</span>.coords.swap_unchecked((i1, <span class="number">0</span>), (i2, <span class="number">0</span>))
}
}
<span class="kw">impl</span><T: Scalar + AbsDiffEq, D: DimName> AbsDiffEq <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>T::Epsilon: Clone,
DefaultAllocator: Allocator<T, D>,
{
<span class="kw">type </span>Epsilon = T::Epsilon;
<span class="attr">#[inline]
</span><span class="kw">fn </span>default_epsilon() -> <span class="self">Self</span>::Epsilon {
T::default_epsilon()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>abs_diff_eq(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>, epsilon: <span class="self">Self</span>::Epsilon) -> bool {
<span class="self">self</span>.coords.abs_diff_eq(<span class="kw-2">&</span>other.coords, epsilon)
}
}
<span class="kw">impl</span><T: Scalar + RelativeEq, D: DimName> RelativeEq <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>T::Epsilon: Clone,
DefaultAllocator: Allocator<T, D>,
{
<span class="attr">#[inline]
</span><span class="kw">fn </span>default_max_relative() -> <span class="self">Self</span>::Epsilon {
T::default_max_relative()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>relative_eq(
<span class="kw-2">&</span><span class="self">self</span>,
other: <span class="kw-2">&</span><span class="self">Self</span>,
epsilon: <span class="self">Self</span>::Epsilon,
max_relative: <span class="self">Self</span>::Epsilon,
) -> bool {
<span class="self">self</span>.coords
.relative_eq(<span class="kw-2">&</span>other.coords, epsilon, max_relative)
}
}
<span class="kw">impl</span><T: Scalar + UlpsEq, D: DimName> UlpsEq <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>T::Epsilon: Clone,
DefaultAllocator: Allocator<T, D>,
{
<span class="attr">#[inline]
</span><span class="kw">fn </span>default_max_ulps() -> u32 {
T::default_max_ulps()
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>ulps_eq(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>, epsilon: <span class="self">Self</span>::Epsilon, max_ulps: u32) -> bool {
<span class="self">self</span>.coords.ulps_eq(<span class="kw-2">&</span>other.coords, epsilon, max_ulps)
}
}
<span class="kw">impl</span><T: Scalar + Eq, D: DimName> Eq <span class="kw">for </span>OPoint<T, D> <span class="kw">where </span>DefaultAllocator: Allocator<T, D> {}
<span class="kw">impl</span><T: Scalar, D: DimName> PartialEq <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="attr">#[inline]
</span><span class="kw">fn </span>eq(<span class="kw-2">&</span><span class="self">self</span>, right: <span class="kw-2">&</span><span class="self">Self</span>) -> bool {
<span class="self">self</span>.coords == right.coords
}
}
<span class="kw">impl</span><T: Scalar + PartialOrd, D: DimName> PartialOrd <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="attr">#[inline]
</span><span class="kw">fn </span>partial_cmp(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> <span class="prelude-ty">Option</span><Ordering> {
<span class="self">self</span>.coords.partial_cmp(<span class="kw-2">&</span>other.coords)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>lt(<span class="kw-2">&</span><span class="self">self</span>, right: <span class="kw-2">&</span><span class="self">Self</span>) -> bool {
<span class="self">self</span>.coords.lt(<span class="kw-2">&</span>right.coords)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>le(<span class="kw-2">&</span><span class="self">self</span>, right: <span class="kw-2">&</span><span class="self">Self</span>) -> bool {
<span class="self">self</span>.coords.le(<span class="kw-2">&</span>right.coords)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>gt(<span class="kw-2">&</span><span class="self">self</span>, right: <span class="kw-2">&</span><span class="self">Self</span>) -> bool {
<span class="self">self</span>.coords.gt(<span class="kw-2">&</span>right.coords)
}
<span class="attr">#[inline]
</span><span class="kw">fn </span>ge(<span class="kw-2">&</span><span class="self">self</span>, right: <span class="kw-2">&</span><span class="self">Self</span>) -> bool {
<span class="self">self</span>.coords.ge(<span class="kw-2">&</span>right.coords)
}
}
<span class="comment">/*
* inf/sup
*/
</span><span class="kw">impl</span><T: Scalar + SimdPartialOrd, D: DimName> OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="doccomment">/// Computes the infimum (aka. componentwise min) of two points.
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>inf(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> OPoint<T, D> {
<span class="self">self</span>.coords.inf(<span class="kw-2">&</span>other.coords).into()
}
<span class="doccomment">/// Computes the supremum (aka. componentwise max) of two points.
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>sup(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> OPoint<T, D> {
<span class="self">self</span>.coords.sup(<span class="kw-2">&</span>other.coords).into()
}
<span class="doccomment">/// Computes the (infimum, supremum) of two points.
</span><span class="attr">#[inline]
#[must_use]
</span><span class="kw">pub fn </span>inf_sup(<span class="kw-2">&</span><span class="self">self</span>, other: <span class="kw-2">&</span><span class="self">Self</span>) -> (OPoint<T, D>, OPoint<T, D>) {
<span class="kw">let </span>(inf, sup) = <span class="self">self</span>.coords.inf_sup(<span class="kw-2">&</span>other.coords);
(inf.into(), sup.into())
}
}
<span class="comment">/*
*
* Display
*
*/
</span><span class="kw">impl</span><T: Scalar + fmt::Display, D: DimName> fmt::Display <span class="kw">for </span>OPoint<T, D>
<span class="kw">where
</span>DefaultAllocator: Allocator<T, D>,
{
<span class="kw">fn </span>fmt(<span class="kw-2">&</span><span class="self">self</span>, f: <span class="kw-2">&mut </span>fmt::Formatter<<span class="lifetime">'_</span>>) -> fmt::Result {
<span class="macro">write!</span>(f, <span class="string">"{{"</span>)<span class="question-mark">?</span>;
<span class="kw">let </span><span class="kw-2">mut </span>it = <span class="self">self</span>.coords.iter();
<span class="macro">write!</span>(f, <span class="string">"{}"</span>, <span class="kw-2">*</span>it.next().unwrap())<span class="question-mark">?</span>;
<span class="kw">for </span>comp <span class="kw">in </span>it {
<span class="macro">write!</span>(f, <span class="string">", {}"</span>, <span class="kw-2">*</span>comp)<span class="question-mark">?</span>;
}
<span class="macro">write!</span>(f, <span class="string">"}}"</span>)
}
}
</code></pre></div>
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