9 点结构模块（point.rs）

一、point.rs源码

use super::UnknownUnit;
use crate::approxeq::ApproxEq;
use crate::approxord::{max, min};
use crate::length::Length;
use crate::num::*;
use crate::scale::Scale;
use crate::size::{Size2D, Size3D};
use crate::vector::{vec2, vec3, Vector2D, Vector3D};
use core::cmp::{Eq, PartialEq};
use core::fmt;
use core::hash::Hash;
use core::marker::PhantomData;
use core::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign};
#[cfg(feature = "mint")]
use mint;
use num_traits::real::Real;
use num_traits::{Euclid, Float, NumCast};
#[cfg(feature = "serde")]
use serde;#[cfg(feature = "bytemuck")]
use bytemuck::{Pod, Zeroable};/// A 2d Point tagged with a unit.
#[repr(C)]
pub struct Point2D<T, U> {pub x: T,pub y: T,#[doc(hidden)]pub _unit: PhantomData<U>,
}impl<T: Copy, U> Copy for Point2D<T, U> {}impl<T: Clone, U> Clone for Point2D<T, U> {fn clone(&self) -> Self {Point2D {x: self.x.clone(),y: self.y.clone(),_unit: PhantomData,}}
}//反序列化
#[cfg(feature = "serde")]
impl<'de, T, U> serde::Deserialize<'de> for Point2D<T, U>
whereT: serde::Deserialize<'de>,
{fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>whereD: serde::Deserializer<'de>,{let (x, y) = serde::Deserialize::deserialize(deserializer)?;Ok(Point2D {x,y,_unit: PhantomData,})}
}//序列化
#[cfg(feature = "serde")]
impl<T, U> serde::Serialize for Point2D<T, U>
whereT: serde::Serialize,
{fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>whereS: serde::Serializer,{(&self.x, &self.y).serialize(serializer)}
}
//模糊测试的库特性，提供随机数，提高测试范围
#[cfg(feature = "arbitrary")]
impl<'a, T, U> arbitrary::Arbitrary<'a> for Point2D<T, U>
whereT: arbitrary::Arbitrary<'a>,
{fn arbitrary(u: &mut arbitrary::Unstructured<'a>) -> arbitrary::Result<Self> {let (x, y) = arbitrary::Arbitrary::arbitrary(u)?;Ok(Point2D {x,y,_unit: PhantomData,})}
}#[cfg(feature = "bytemuck")]
unsafe impl<T: Zeroable, U> Zeroable for Point2D<T, U> {}#[cfg(feature = "bytemuck")]
unsafe impl<T: Pod, U: 'static> Pod for Point2D<T, U> {}impl<T, U> Eq for Point2D<T, U> where T: Eq {}impl<T, U> PartialEq for Point2D<T, U>
whereT: PartialEq,
{fn eq(&self, other: &Self) -> bool {self.x == other.x && self.y == other.y}
}impl<T, U> Hash for Point2D<T, U>
whereT: Hash,
{fn hash<H: core::hash::Hasher>(&self, h: &mut H) {self.x.hash(h);self.y.hash(h);}
}mint_vec!(Point2D[x, y] = Point2);impl<T: fmt::Debug, U> fmt::Debug for Point2D<T, U> {fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {f.debug_tuple("").field(&self.x).field(&self.y).finish()}
}impl<T: Default, U> Default for Point2D<T, U> {fn default() -> Self {Point2D::new(Default::default(), Default::default())}
}impl<T, U> Point2D<T, U> {/// Constructor, setting all components to zero.#[inline]pub fn origin() -> SelfwhereT: Zero,{point2(Zero::zero(), Zero::zero())}/// The same as [`Point2D::origin`].#[inline]pub fn zero() -> SelfwhereT: Zero,{Self::origin()}/// Constructor taking scalar values directly.#[inline]pub const fn new(x: T, y: T) -> Self {Point2D {x,y,_unit: PhantomData,}}/// Constructor taking properly Lengths instead of scalar values.#[inline]pub fn from_lengths(x: Length<T, U>, y: Length<T, U>) -> Self {point2(x.0, y.0)}/// Constructor setting all components to the same value.#[inline]pub fn splat(v: T) -> SelfwhereT: Clone,{Point2D {x: v.clone(),y: v,_unit: PhantomData,}}/// Tag a unitless value with units.#[inline]pub fn from_untyped(p: Point2D<T, UnknownUnit>) -> Self {point2(p.x, p.y)}/// Apply the function `f` to each component of this point.////// # Example////// This may be used to perform unusual arithmetic which is not already offered as methods.////// ```/// use euclid::default::Point2D;////// let p = Point2D::<u32>::new(5, 15);/// assert_eq!(p.map(|coord| coord.saturating_sub(10)), Point2D::new(0, 5));/// ```#[inline]pub fn map<V, F: FnMut(T) -> V>(self, mut f: F) -> Point2D<V, U> {point2(f(self.x), f(self.y))}/// Apply the function `f` to each pair of components of this point and `rhs`.////// # Example////// This may be used to perform unusual arithmetic which is not already offered as methods.////// ```/// use euclid::{default::{Point2D, Vector2D}, point2};////// let a: Point2D<u32> = point2(50, 200);/// let b: Point2D<u32> = point2(100, 100);/// assert_eq!(a.zip(b, u32::saturating_sub), Vector2D::new(0, 100));/// ```#[inline]pub fn zip<V, F: FnMut(T, T) -> V>(self, rhs: Self, mut f: F) -> Vector2D<V, U> {vec2(f(self.x, rhs.x), f(self.y, rhs.y))}
}impl<T: Copy, U> Point2D<T, U> {/// Create a 3d point from this one, using the specified z value.#[inline]pub fn extend(self, z: T) -> Point3D<T, U> {point3(self.x, self.y, z)}/// Cast this point into a vector.////// Equivalent to subtracting the origin from this point.#[inline]pub fn to_vector(self) -> Vector2D<T, U> {Vector2D {x: self.x,y: self.y,_unit: PhantomData,}}/// Swap x and y.////// # Example////// ```rust/// # use euclid::{Point2D, point2};/// enum Mm {}////// let point: Point2D<_, Mm> = point2(1, -8);////// assert_eq!(point.yx(), point2(-8, 1));/// ```#[inline]pub fn yx(self) -> Self {point2(self.y, self.x)}/// Drop the units, preserving only the numeric value.////// # Example////// ```rust/// # use euclid::{Point2D, point2};/// enum Mm {}////// let point: Point2D<_, Mm> = point2(1, -8);////// assert_eq!(point.x, point.to_untyped().x);/// assert_eq!(point.y, point.to_untyped().y);/// ```#[inline]pub fn to_untyped(self) -> Point2D<T, UnknownUnit> {point2(self.x, self.y)}/// Cast the unit, preserving the numeric value.////// # Example////// ```rust/// # use euclid::{Point2D, point2};/// enum Mm {}/// enum Cm {}////// let point: Point2D<_, Mm> = point2(1, -8);////// assert_eq!(point.x, point.cast_unit::<Cm>().x);/// assert_eq!(point.y, point.cast_unit::<Cm>().y);/// ```#[inline]pub fn cast_unit<V>(self) -> Point2D<T, V> {point2(self.x, self.y)}/// Cast into an array with x and y.////// # Example////// ```rust/// # use euclid::{Point2D, point2};/// enum Mm {}////// let point: Point2D<_, Mm> = point2(1, -8);////// assert_eq!(point.to_array(), [1, -8]);/// ```#[inline]pub fn to_array(self) -> [T; 2] {[self.x, self.y]}/// Cast into a tuple with x and y.////// # Example////// ```rust/// # use euclid::{Point2D, point2};/// enum Mm {}////// let point: Point2D<_, Mm> = point2(1, -8);////// assert_eq!(point.to_tuple(), (1, -8));/// ```#[inline]pub fn to_tuple(self) -> (T, T) {(self.x, self.y)}/// Convert into a 3d point with z-coordinate equals to zero.#[inline]pub fn to_3d(self) -> Point3D<T, U>whereT: Zero,{point3(self.x, self.y, Zero::zero())}/// Rounds each component to the nearest integer value.////// This behavior is preserved for negative values (unlike the basic cast).////// ```rust/// # use euclid::point2;/// enum Mm {}////// assert_eq!(point2::<_, Mm>(-0.1, -0.8).round(), point2::<_, Mm>(0.0, -1.0))/// ```#[inline]#[must_use]pub fn round(self) -> SelfwhereT: Round,{point2(self.x.round(), self.y.round())}/// Rounds each component to the smallest integer equal or greater than the original value.////// This behavior is preserved for negative values (unlike the basic cast).////// ```rust/// # use euclid::point2;/// enum Mm {}////// assert_eq!(point2::<_, Mm>(-0.1, -0.8).ceil(), point2::<_, Mm>(0.0, 0.0))/// ```#[inline]#[must_use]pub fn ceil(self) -> SelfwhereT: Ceil,{point2(self.x.ceil(), self.y.ceil())}/// Rounds each component to the biggest integer equal or lower than the original value.////// This behavior is preserved for negative values (unlike the basic cast).////// ```rust/// # use euclid::point2;/// enum Mm {}////// assert_eq!(point2::<_, Mm>(-0.1, -0.8).floor(), point2::<_, Mm>(-1.0, -1.0))/// ```#[inline]#[must_use]pub fn floor(self) -> SelfwhereT: Floor,{point2(self.x.floor(), self.y.floor())}/// Linearly interpolate between this point and another point.////// # Example////// ```rust/// use euclid::point2;/// use euclid::default::Point2D;////// let from: Point2D<_> = point2(0.0, 10.0);/// let to:  Point2D<_> = point2(8.0, -4.0);////// assert_eq!(from.lerp(to, -1.0), point2(-8.0,  24.0));/// assert_eq!(from.lerp(to,  0.0), point2( 0.0,  10.0));/// assert_eq!(from.lerp(to,  0.5), point2( 4.0,   3.0));/// assert_eq!(from.lerp(to,  1.0), point2( 8.0,  -4.0));/// assert_eq!(from.lerp(to,  2.0), point2(16.0, -18.0));/// ```#[inline]pub fn lerp(self, other: Self, t: T) -> SelfwhereT: One + Sub<Output = T> + Mul<Output = T> + Add<Output = T>,{let one_t = T::one() - t;point2(one_t * self.x + t * other.x, one_t * self.y + t * other.y)}
}impl<T: PartialOrd, U> Point2D<T, U> {#[inline]pub fn min(self, other: Self) -> Self {point2(min(self.x, other.x), min(self.y, other.y))}#[inline]pub fn max(self, other: Self) -> Self {point2(max(self.x, other.x), max(self.y, other.y))}/// Returns the point each component of which clamped by corresponding/// components of `start` and `end`.////// Shortcut for `self.max(start).min(end)`.#[inline]pub fn clamp(self, start: Self, end: Self) -> SelfwhereT: Copy,{self.max(start).min(end)}
}impl<T: NumCast + Copy, U> Point2D<T, U> {/// Cast from one numeric representation to another, preserving the units.////// When casting from floating point to integer coordinates, the decimals are truncated/// as one would expect from a simple cast, but this behavior does not always make sense/// geometrically. Consider using `round()`, `ceil()` or `floor()` before casting.#[inline]pub fn cast<NewT: NumCast>(self) -> Point2D<NewT, U> {self.try_cast().unwrap()}/// Fallible cast from one numeric representation to another, preserving the units.////// When casting from floating point to integer coordinates, the decimals are truncated/// as one would expect from a simple cast, but this behavior does not always make sense/// geometrically. Consider using `round()`, `ceil()` or `floor()` before casting.pub fn try_cast<NewT: NumCast>(self) -> Option<Point2D<NewT, U>> {match (NumCast::from(self.x), NumCast::from(self.y)) {(Some(x), Some(y)) => Some(point2(x, y)),_ => None,}}// Convenience functions for common casts/// Cast into an `f32` point.#[inline]pub fn to_f32(self) -> Point2D<f32, U> {self.cast()}/// Cast into an `f64` point.#[inline]pub fn to_f64(self) -> Point2D<f64, U> {self.cast()}/// Cast into an `usize` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_usize(self) -> Point2D<usize, U> {self.cast()}/// Cast into an `u32` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_u32(self) -> Point2D<u32, U> {self.cast()}/// Cast into an `i32` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_i32(self) -> Point2D<i32, U> {self.cast()}/// Cast into an `i64` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_i64(self) -> Point2D<i64, U> {self.cast()}
}impl<T: Float, U> Point2D<T, U> {/// Returns `true` if all members are finite.#[inline]pub fn is_finite(self) -> bool {self.x.is_finite() && self.y.is_finite()}
}impl<T: Copy + Add<T, Output = T>, U> Point2D<T, U> {#[inline]pub fn add_size(self, other: &Size2D<T, U>) -> Self {point2(self.x + other.width, self.y + other.height)}
}impl<T: Real + Sub<T, Output = T>, U> Point2D<T, U> {#[inline]pub fn distance_to(self, other: Self) -> T {(self - other).length()}
}impl<T: Neg, U> Neg for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn neg(self) -> Self::Output {point2(-self.x, -self.y)}
}impl<T: Add, U> Add<Size2D<T, U>> for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn add(self, other: Size2D<T, U>) -> Self::Output {point2(self.x + other.width, self.y + other.height)}
}impl<T: AddAssign, U> AddAssign<Size2D<T, U>> for Point2D<T, U> {#[inline]fn add_assign(&mut self, other: Size2D<T, U>) {self.x += other.width;self.y += other.height;}
}impl<T: Add, U> Add<Vector2D<T, U>> for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn add(self, other: Vector2D<T, U>) -> Self::Output {point2(self.x + other.x, self.y + other.y)}
}impl<T: Copy + Add<T, Output = T>, U> AddAssign<Vector2D<T, U>> for Point2D<T, U> {#[inline]fn add_assign(&mut self, other: Vector2D<T, U>) {*self = *self + other;}
}impl<T: Sub, U> Sub for Point2D<T, U> {type Output = Vector2D<T::Output, U>;#[inline]fn sub(self, other: Self) -> Self::Output {vec2(self.x - other.x, self.y - other.y)}
}impl<T: Sub, U> Sub<Size2D<T, U>> for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn sub(self, other: Size2D<T, U>) -> Self::Output {point2(self.x - other.width, self.y - other.height)}
}impl<T: SubAssign, U> SubAssign<Size2D<T, U>> for Point2D<T, U> {#[inline]fn sub_assign(&mut self, other: Size2D<T, U>) {self.x -= other.width;self.y -= other.height;}
}impl<T: Sub, U> Sub<Vector2D<T, U>> for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn sub(self, other: Vector2D<T, U>) -> Self::Output {point2(self.x - other.x, self.y - other.y)}
}impl<T: Copy + Sub<T, Output = T>, U> SubAssign<Vector2D<T, U>> for Point2D<T, U> {#[inline]fn sub_assign(&mut self, other: Vector2D<T, U>) {*self = *self - other;}
}impl<T: Copy + Mul, U> Mul<T> for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn mul(self, scale: T) -> Self::Output {point2(self.x * scale, self.y * scale)}
}impl<T: Copy + Mul<T, Output = T>, U> MulAssign<T> for Point2D<T, U> {#[inline]fn mul_assign(&mut self, scale: T) {*self = *self * scale;}
}impl<T: Copy + Mul, U1, U2> Mul<Scale<T, U1, U2>> for Point2D<T, U1> {type Output = Point2D<T::Output, U2>;#[inline]fn mul(self, scale: Scale<T, U1, U2>) -> Self::Output {point2(self.x * scale.0, self.y * scale.0)}
}impl<T: Copy + MulAssign, U> MulAssign<Scale<T, U, U>> for Point2D<T, U> {#[inline]fn mul_assign(&mut self, scale: Scale<T, U, U>) {self.x *= scale.0;self.y *= scale.0;}
}impl<T: Copy + Div, U> Div<T> for Point2D<T, U> {type Output = Point2D<T::Output, U>;#[inline]fn div(self, scale: T) -> Self::Output {point2(self.x / scale, self.y / scale)}
}impl<T: Copy + Div<T, Output = T>, U> DivAssign<T> for Point2D<T, U> {#[inline]fn div_assign(&mut self, scale: T) {*self = *self / scale;}
}impl<T: Copy + Div, U1, U2> Div<Scale<T, U1, U2>> for Point2D<T, U2> {type Output = Point2D<T::Output, U1>;#[inline]fn div(self, scale: Scale<T, U1, U2>) -> Self::Output {point2(self.x / scale.0, self.y / scale.0)}
}impl<T: Copy + DivAssign, U> DivAssign<Scale<T, U, U>> for Point2D<T, U> {#[inline]fn div_assign(&mut self, scale: Scale<T, U, U>) {self.x /= scale.0;self.y /= scale.0;}
}impl<T: Zero, U> Zero for Point2D<T, U> {#[inline]fn zero() -> Self {Self::origin()}
}impl<T: Round, U> Round for Point2D<T, U> {/// See [`Point2D::round`].#[inline]fn round(self) -> Self {self.round()}
}impl<T: Ceil, U> Ceil for Point2D<T, U> {/// See [`Point2D::ceil`].#[inline]fn ceil(self) -> Self {self.ceil()}
}impl<T: Floor, U> Floor for Point2D<T, U> {/// See [`Point2D::floor`].#[inline]fn floor(self) -> Self {self.floor()}
}impl<T: ApproxEq<T>, U> ApproxEq<Point2D<T, U>> for Point2D<T, U> {#[inline]fn approx_epsilon() -> Self {point2(T::approx_epsilon(), T::approx_epsilon())}#[inline]fn approx_eq_eps(&self, other: &Self, eps: &Self) -> bool {self.x.approx_eq_eps(&other.x, &eps.x) && self.y.approx_eq_eps(&other.y, &eps.y)}
}impl<T: Euclid, U> Point2D<T, U> {/// Calculates the least nonnegative remainder of `self (mod other)`.////// # Example////// ```rust/// use euclid::point2;/// use euclid::default::{Point2D, Size2D};////// let p = Point2D::new(7.0, -7.0);/// let s = Size2D::new(4.0, -4.0);////// assert_eq!(p.rem_euclid(&s), point2(3.0, 1.0));/// assert_eq!((-p).rem_euclid(&s), point2(1.0, 3.0));/// assert_eq!(p.rem_euclid(&-s), point2(3.0, 1.0));/// ```#[inline]pub fn rem_euclid(&self, other: &Size2D<T, U>) -> Self {point2(self.x.rem_euclid(&other.width),self.y.rem_euclid(&other.height),)}/// Calculates Euclidean division, the matching method for `rem_euclid`.////// # Example////// ```rust/// use euclid::point2;/// use euclid::default::{Point2D, Size2D};////// let p = Point2D::new(7.0, -7.0);/// let s = Size2D::new(4.0, -4.0);////// assert_eq!(p.div_euclid(&s), point2(1.0, 2.0));/// assert_eq!((-p).div_euclid(&s), point2(-2.0, -1.0));/// assert_eq!(p.div_euclid(&-s), point2(-1.0, -2.0));/// ```#[inline]pub fn div_euclid(&self, other: &Size2D<T, U>) -> Self {point2(self.x.div_euclid(&other.width),self.y.div_euclid(&other.height),)}
}impl<T, U> From<Point2D<T, U>> for [T; 2] {fn from(p: Point2D<T, U>) -> Self {[p.x, p.y]}
}impl<T, U> From<[T; 2]> for Point2D<T, U> {fn from([x, y]: [T; 2]) -> Self {point2(x, y)}
}impl<T, U> From<Point2D<T, U>> for (T, T) {fn from(p: Point2D<T, U>) -> Self {(p.x, p.y)}
}impl<T, U> From<(T, T)> for Point2D<T, U> {fn from(tuple: (T, T)) -> Self {point2(tuple.0, tuple.1)}
}/// A 3d Point tagged with a unit.
#[repr(C)]
pub struct Point3D<T, U> {pub x: T,pub y: T,pub z: T,#[doc(hidden)]pub _unit: PhantomData<U>,
}mint_vec!(Point3D[x, y, z] = Point3);impl<T: Copy, U> Copy for Point3D<T, U> {}impl<T: Clone, U> Clone for Point3D<T, U> {fn clone(&self) -> Self {Point3D {x: self.x.clone(),y: self.y.clone(),z: self.z.clone(),_unit: PhantomData,}}
}#[cfg(feature = "serde")]
impl<'de, T, U> serde::Deserialize<'de> for Point3D<T, U>
whereT: serde::Deserialize<'de>,
{fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>whereD: serde::Deserializer<'de>,{let (x, y, z) = serde::Deserialize::deserialize(deserializer)?;Ok(Point3D {x,y,z,_unit: PhantomData,})}
}#[cfg(feature = "serde")]
impl<T, U> serde::Serialize for Point3D<T, U>
whereT: serde::Serialize,
{fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>whereS: serde::Serializer,{(&self.x, &self.y, &self.z).serialize(serializer)}
}#[cfg(feature = "arbitrary")]
impl<'a, T, U> arbitrary::Arbitrary<'a> for Point3D<T, U>
whereT: arbitrary::Arbitrary<'a>,
{fn arbitrary(u: &mut arbitrary::Unstructured<'a>) -> arbitrary::Result<Self> {let (x, y, z) = arbitrary::Arbitrary::arbitrary(u)?;Ok(Point3D {x,y,z,_unit: PhantomData,})}
}#[cfg(feature = "bytemuck")]
unsafe impl<T: Zeroable, U> Zeroable for Point3D<T, U> {}#[cfg(feature = "bytemuck")]
unsafe impl<T: Pod, U: 'static> Pod for Point3D<T, U> {}impl<T, U> Eq for Point3D<T, U> where T: Eq {}impl<T, U> PartialEq for Point3D<T, U>
whereT: PartialEq,
{fn eq(&self, other: &Self) -> bool {self.x == other.x && self.y == other.y && self.z == other.z}
}impl<T, U> Hash for Point3D<T, U>
whereT: Hash,
{fn hash<H: core::hash::Hasher>(&self, h: &mut H) {self.x.hash(h);self.y.hash(h);self.z.hash(h);}
}impl<T: fmt::Debug, U> fmt::Debug for Point3D<T, U> {fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {f.debug_tuple("").field(&self.x).field(&self.y).field(&self.z).finish()}
}impl<T: Default, U> Default for Point3D<T, U> {fn default() -> Self {Point3D::new(Default::default(), Default::default(), Default::default())}
}impl<T, U> Point3D<T, U> {/// Constructor, setting all components to zero.#[inline]pub fn origin() -> SelfwhereT: Zero,{point3(Zero::zero(), Zero::zero(), Zero::zero())}/// The same as [`Point3D::origin`].#[inline]pub fn zero() -> SelfwhereT: Zero,{Self::origin()}/// Constructor taking scalar values directly.#[inline]pub const fn new(x: T, y: T, z: T) -> Self {Point3D {x,y,z,_unit: PhantomData,}}/// Constructor taking properly Lengths instead of scalar values.#[inline]pub fn from_lengths(x: Length<T, U>, y: Length<T, U>, z: Length<T, U>) -> Self {point3(x.0, y.0, z.0)}/// Constructor setting all components to the same value.#[inline]pub fn splat(v: T) -> SelfwhereT: Clone,{Point3D {x: v.clone(),y: v.clone(),z: v,_unit: PhantomData,}}/// Tag a unitless value with units.#[inline]pub fn from_untyped(p: Point3D<T, UnknownUnit>) -> Self {point3(p.x, p.y, p.z)}/// Apply the function `f` to each component of this point.////// # Example////// This may be used to perform unusual arithmetic which is not already offered as methods.////// ```/// use euclid::default::Point3D;////// let p = Point3D::<u32>::new(5, 11, 15);/// assert_eq!(p.map(|coord| coord.saturating_sub(10)), Point3D::new(0, 1, 5));/// ```#[inline]pub fn map<V, F: FnMut(T) -> V>(self, mut f: F) -> Point3D<V, U> {point3(f(self.x), f(self.y), f(self.z))}/// Apply the function `f` to each pair of components of this point and `rhs`.////// # Example////// This may be used to perform unusual arithmetic which is not already offered as methods.////// ```/// use euclid::{default::{Point3D, Vector3D}, point2};////// let a: Point3D<u32> = Point3D::new(50, 200, 400);/// let b: Point3D<u32> = Point3D::new(100, 100, 150);/// assert_eq!(a.zip(b, u32::saturating_sub), Vector3D::new(0, 100, 250));/// ```#[inline]pub fn zip<V, F: FnMut(T, T) -> V>(self, rhs: Self, mut f: F) -> Vector3D<V, U> {vec3(f(self.x, rhs.x), f(self.y, rhs.y), f(self.z, rhs.z))}
}impl<T: Copy, U> Point3D<T, U> {/// Cast this point into a vector.////// Equivalent to subtracting the origin to this point.#[inline]pub fn to_vector(self) -> Vector3D<T, U> {Vector3D {x: self.x,y: self.y,z: self.z,_unit: PhantomData,}}/// Returns a 2d point using this point's x and y coordinates#[inline]pub fn xy(self) -> Point2D<T, U> {point2(self.x, self.y)}/// Returns a 2d point using this point's x and z coordinates#[inline]pub fn xz(self) -> Point2D<T, U> {point2(self.x, self.z)}/// Returns a 2d point using this point's x and z coordinates#[inline]pub fn yz(self) -> Point2D<T, U> {point2(self.y, self.z)}/// Cast into an array with x, y and z.////// # Example////// ```rust/// # use euclid::{Point3D, point3};/// enum Mm {}////// let point: Point3D<_, Mm> = point3(1, -8, 0);////// assert_eq!(point.to_array(), [1, -8, 0]);/// ```#[inline]pub fn to_array(self) -> [T; 3] {[self.x, self.y, self.z]}#[inline]pub fn to_array_4d(self) -> [T; 4]whereT: One,{[self.x, self.y, self.z, One::one()]}/// Cast into a tuple with x, y and z.////// # Example////// ```rust/// # use euclid::{Point3D, point3};/// enum Mm {}////// let point: Point3D<_, Mm> = point3(1, -8, 0);////// assert_eq!(point.to_tuple(), (1, -8, 0));/// ```#[inline]pub fn to_tuple(self) -> (T, T, T) {(self.x, self.y, self.z)}#[inline]pub fn to_tuple_4d(self) -> (T, T, T, T)whereT: One,{(self.x, self.y, self.z, One::one())}/// Drop the units, preserving only the numeric value.////// # Example////// ```rust/// # use euclid::{Point3D, point3};/// enum Mm {}////// let point: Point3D<_, Mm> = point3(1, -8, 0);////// assert_eq!(point.x, point.to_untyped().x);/// assert_eq!(point.y, point.to_untyped().y);/// assert_eq!(point.z, point.to_untyped().z);/// ```#[inline]pub fn to_untyped(self) -> Point3D<T, UnknownUnit> {point3(self.x, self.y, self.z)}/// Cast the unit, preserving the numeric value.////// # Example////// ```rust/// # use euclid::{Point3D, point3};/// enum Mm {}/// enum Cm {}////// let point: Point3D<_, Mm> = point3(1, -8, 0);////// assert_eq!(point.x, point.cast_unit::<Cm>().x);/// assert_eq!(point.y, point.cast_unit::<Cm>().y);/// assert_eq!(point.z, point.cast_unit::<Cm>().z);/// ```#[inline]pub fn cast_unit<V>(self) -> Point3D<T, V> {point3(self.x, self.y, self.z)}/// Convert into a 2d point.#[inline]pub fn to_2d(self) -> Point2D<T, U> {self.xy()}/// Rounds each component to the nearest integer value.////// This behavior is preserved for negative values (unlike the basic cast).////// ```rust/// # use euclid::point3;/// enum Mm {}////// assert_eq!(point3::<_, Mm>(-0.1, -0.8, 0.4).round(), point3::<_, Mm>(0.0, -1.0, 0.0))/// ```#[inline]#[must_use]pub fn round(self) -> SelfwhereT: Round,{point3(self.x.round(), self.y.round(), self.z.round())}/// Rounds each component to the smallest integer equal or greater than the original value.////// This behavior is preserved for negative values (unlike the basic cast).////// ```rust/// # use euclid::point3;/// enum Mm {}////// assert_eq!(point3::<_, Mm>(-0.1, -0.8, 0.4).ceil(), point3::<_, Mm>(0.0, 0.0, 1.0))/// ```#[inline]#[must_use]pub fn ceil(self) -> SelfwhereT: Ceil,{point3(self.x.ceil(), self.y.ceil(), self.z.ceil())}/// Rounds each component to the biggest integer equal or lower than the original value.////// This behavior is preserved for negative values (unlike the basic cast).////// ```rust/// # use euclid::point3;/// enum Mm {}////// assert_eq!(point3::<_, Mm>(-0.1, -0.8, 0.4).floor(), point3::<_, Mm>(-1.0, -1.0, 0.0))/// ```#[inline]#[must_use]pub fn floor(self) -> SelfwhereT: Floor,{point3(self.x.floor(), self.y.floor(), self.z.floor())}/// Linearly interpolate between this point and another point.////// # Example////// ```rust/// use euclid::point3;/// use euclid::default::Point3D;////// let from: Point3D<_> = point3(0.0, 10.0, -1.0);/// let to:  Point3D<_> = point3(8.0, -4.0,  0.0);////// assert_eq!(from.lerp(to, -1.0), point3(-8.0,  24.0, -2.0));/// assert_eq!(from.lerp(to,  0.0), point3( 0.0,  10.0, -1.0));/// assert_eq!(from.lerp(to,  0.5), point3( 4.0,   3.0, -0.5));/// assert_eq!(from.lerp(to,  1.0), point3( 8.0,  -4.0,  0.0));/// assert_eq!(from.lerp(to,  2.0), point3(16.0, -18.0,  1.0));/// ```#[inline]pub fn lerp(self, other: Self, t: T) -> SelfwhereT: One + Sub<Output = T> + Mul<Output = T> + Add<Output = T>,{let one_t = T::one() - t;point3(one_t * self.x + t * other.x,one_t * self.y + t * other.y,one_t * self.z + t * other.z,)}
}impl<T: PartialOrd, U> Point3D<T, U> {#[inline]pub fn min(self, other: Self) -> Self {point3(min(self.x, other.x),min(self.y, other.y),min(self.z, other.z),)}#[inline]pub fn max(self, other: Self) -> Self {point3(max(self.x, other.x),max(self.y, other.y),max(self.z, other.z),)}/// Returns the point each component of which clamped by corresponding/// components of `start` and `end`.////// Shortcut for `self.max(start).min(end)`.#[inline]pub fn clamp(self, start: Self, end: Self) -> SelfwhereT: Copy,{self.max(start).min(end)}
}impl<T: NumCast + Copy, U> Point3D<T, U> {/// Cast from one numeric representation to another, preserving the units.////// When casting from floating point to integer coordinates, the decimals are truncated/// as one would expect from a simple cast, but this behavior does not always make sense/// geometrically. Consider using `round()`, `ceil()` or `floor()` before casting.#[inline]pub fn cast<NewT: NumCast>(self) -> Point3D<NewT, U> {self.try_cast().unwrap()}/// Fallible cast from one numeric representation to another, preserving the units.////// When casting from floating point to integer coordinates, the decimals are truncated/// as one would expect from a simple cast, but this behavior does not always make sense/// geometrically. Consider using `round()`, `ceil()` or `floor()` before casting.pub fn try_cast<NewT: NumCast>(self) -> Option<Point3D<NewT, U>> {match (NumCast::from(self.x),NumCast::from(self.y),NumCast::from(self.z),) {(Some(x), Some(y), Some(z)) => Some(point3(x, y, z)),_ => None,}}// Convenience functions for common casts/// Cast into an `f32` point.#[inline]pub fn to_f32(self) -> Point3D<f32, U> {self.cast()}/// Cast into an `f64` point.#[inline]pub fn to_f64(self) -> Point3D<f64, U> {self.cast()}/// Cast into an `usize` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_usize(self) -> Point3D<usize, U> {self.cast()}/// Cast into an `u32` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_u32(self) -> Point3D<u32, U> {self.cast()}/// Cast into an `i32` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_i32(self) -> Point3D<i32, U> {self.cast()}/// Cast into an `i64` point, truncating decimals if any.////// When casting from floating point points, it is worth considering whether/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain/// the desired conversion behavior.#[inline]pub fn to_i64(self) -> Point3D<i64, U> {self.cast()}
}impl<T: Float, U> Point3D<T, U> {/// Returns `true` if all members are finite.#[inline]pub fn is_finite(self) -> bool {self.x.is_finite() && self.y.is_finite() && self.z.is_finite()}
}impl<T: Copy + Add<T, Output = T>, U> Point3D<T, U> {#[inline]pub fn add_size(self, other: Size3D<T, U>) -> Self {point3(self.x + other.width,self.y + other.height,self.z + other.depth,)}
}impl<T: Real + Sub<T, Output = T>, U> Point3D<T, U> {#[inline]pub fn distance_to(self, other: Self) -> T {(self - other).length()}
}impl<T: Neg, U> Neg for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn neg(self) -> Self::Output {point3(-self.x, -self.y, -self.z)}
}impl<T: Add, U> Add<Size3D<T, U>> for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn add(self, other: Size3D<T, U>) -> Self::Output {point3(self.x + other.width,self.y + other.height,self.z + other.depth,)}
}impl<T: AddAssign, U> AddAssign<Size3D<T, U>> for Point3D<T, U> {#[inline]fn add_assign(&mut self, other: Size3D<T, U>) {self.x += other.width;self.y += other.height;self.z += other.depth;}
}impl<T: Add, U> Add<Vector3D<T, U>> for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn add(self, other: Vector3D<T, U>) -> Self::Output {point3(self.x + other.x, self.y + other.y, self.z + other.z)}
}impl<T: Copy + Add<T, Output = T>, U> AddAssign<Vector3D<T, U>> for Point3D<T, U> {#[inline]fn add_assign(&mut self, other: Vector3D<T, U>) {*self = *self + other;}
}impl<T: Sub, U> Sub for Point3D<T, U> {type Output = Vector3D<T::Output, U>;#[inline]fn sub(self, other: Self) -> Self::Output {vec3(self.x - other.x, self.y - other.y, self.z - other.z)}
}impl<T: Sub, U> Sub<Size3D<T, U>> for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn sub(self, other: Size3D<T, U>) -> Self::Output {point3(self.x - other.width,self.y - other.height,self.z - other.depth,)}
}impl<T: SubAssign, U> SubAssign<Size3D<T, U>> for Point3D<T, U> {#[inline]fn sub_assign(&mut self, other: Size3D<T, U>) {self.x -= other.width;self.y -= other.height;self.z -= other.depth;}
}impl<T: Sub, U> Sub<Vector3D<T, U>> for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn sub(self, other: Vector3D<T, U>) -> Self::Output {point3(self.x - other.x, self.y - other.y, self.z - other.z)}
}impl<T: Copy + Sub<T, Output = T>, U> SubAssign<Vector3D<T, U>> for Point3D<T, U> {#[inline]fn sub_assign(&mut self, other: Vector3D<T, U>) {*self = *self - other;}
}impl<T: Copy + Mul, U> Mul<T> for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn mul(self, scale: T) -> Self::Output {point3(self.x * scale, self.y * scale, self.z * scale)}
}impl<T: Copy + MulAssign, U> MulAssign<T> for Point3D<T, U> {#[inline]fn mul_assign(&mut self, scale: T) {self.x *= scale;self.y *= scale;self.z *= scale;}
}impl<T: Copy + Mul, U1, U2> Mul<Scale<T, U1, U2>> for Point3D<T, U1> {type Output = Point3D<T::Output, U2>;#[inline]fn mul(self, scale: Scale<T, U1, U2>) -> Self::Output {point3(self.x * scale.0, self.y * scale.0, self.z * scale.0)}
}impl<T: Copy + MulAssign, U> MulAssign<Scale<T, U, U>> for Point3D<T, U> {#[inline]fn mul_assign(&mut self, scale: Scale<T, U, U>) {*self *= scale.0;}
}impl<T: Copy + Div, U> Div<T> for Point3D<T, U> {type Output = Point3D<T::Output, U>;#[inline]fn div(self, scale: T) -> Self::Output {point3(self.x / scale, self.y / scale, self.z / scale)}
}impl<T: Copy + DivAssign, U> DivAssign<T> for Point3D<T, U> {#[inline]fn div_assign(&mut self, scale: T) {self.x /= scale;self.y /= scale;self.z /= scale;}
}impl<T: Copy + Div, U1, U2> Div<Scale<T, U1, U2>> for Point3D<T, U2> {type Output = Point3D<T::Output, U1>;#[inline]fn div(self, scale: Scale<T, U1, U2>) -> Self::Output {point3(self.x / scale.0, self.y / scale.0, self.z / scale.0)}
}impl<T: Copy + DivAssign, U> DivAssign<Scale<T, U, U>> for Point3D<T, U> {#[inline]fn div_assign(&mut self, scale: Scale<T, U, U>) {*self /= scale.0;}
}impl<T: Zero, U> Zero for Point3D<T, U> {#[inline]fn zero() -> Self {Self::origin()}
}impl<T: Round, U> Round for Point3D<T, U> {/// See [`Point3D::round`].#[inline]fn round(self) -> Self {self.round()}
}impl<T: Ceil, U> Ceil for Point3D<T, U> {/// See [`Point3D::ceil`].#[inline]fn ceil(self) -> Self {self.ceil()}
}impl<T: Floor, U> Floor for Point3D<T, U> {/// See [`Point3D::floor`].#[inline]fn floor(self) -> Self {self.floor()}
}impl<T: ApproxEq<T>, U> ApproxEq<Point3D<T, U>> for Point3D<T, U> {#[inline]fn approx_epsilon() -> Self {point3(T::approx_epsilon(),T::approx_epsilon(),T::approx_epsilon(),)}#[inline]fn approx_eq_eps(&self, other: &Self, eps: &Self) -> bool {self.x.approx_eq_eps(&other.x, &eps.x)&& self.y.approx_eq_eps(&other.y, &eps.y)&& self.z.approx_eq_eps(&other.z, &eps.z)}
}impl<T: Euclid, U> Point3D<T, U> {/// Calculates the least nonnegative remainder of `self (mod other)`.////// # Example////// ```rust/// use euclid::point3;/// use euclid::default::{Point3D, Size3D};////// let p = Point3D::new(7.0, -7.0, 0.0);/// let s = Size3D::new(4.0, -4.0, 12.0);////// assert_eq!(p.rem_euclid(&s), point3(3.0, 1.0, 0.0));/// assert_eq!((-p).rem_euclid(&s), point3(1.0, 3.0, 0.0));/// assert_eq!(p.rem_euclid(&-s), point3(3.0, 1.0, 0.0));/// ```#[inline]pub fn rem_euclid(&self, other: &Size3D<T, U>) -> Self {point3(self.x.rem_euclid(&other.width),self.y.rem_euclid(&other.height),self.z.rem_euclid(&other.depth),)}/// Calculates Euclidean division, the matching method for `rem_euclid`.////// # Example////// ```rust/// use euclid::point3;/// use euclid::default::{Point3D, Size3D};////// let p = Point3D::new(7.0, -7.0, 0.0);/// let s = Size3D::new(4.0, -4.0, 12.0);////// assert_eq!(p.div_euclid(&s), point3(1.0, 2.0, 0.0));/// assert_eq!((-p).div_euclid(&s), point3(-2.0, -1.0, 0.0));/// assert_eq!(p.div_euclid(&-s), point3(-1.0, -2.0, 0.0));/// ```#[inline]pub fn div_euclid(&self, other: &Size3D<T, U>) -> Self {point3(self.x.div_euclid(&other.width),self.y.div_euclid(&other.height),self.z.div_euclid(&other.depth),)}
}impl<T, U> From<Point3D<T, U>> for [T; 3] {fn from(p: Point3D<T, U>) -> Self {[p.x, p.y, p.z]}
}impl<T, U> From<[T; 3]> for Point3D<T, U> {fn from([x, y, z]: [T; 3]) -> Self {point3(x, y, z)}
}impl<T, U> From<Point3D<T, U>> for (T, T, T) {fn from(p: Point3D<T, U>) -> Self {(p.x, p.y, p.z)}
}impl<T, U> From<(T, T, T)> for Point3D<T, U> {fn from(tuple: (T, T, T)) -> Self {point3(tuple.0, tuple.1, tuple.2)}
}/// Shorthand for `Point2D::new(x, y)`.
#[inline]
pub const fn point2<T, U>(x: T, y: T) -> Point2D<T, U> {Point2D {x,y,_unit: PhantomData,}
}/// Shorthand for `Point3D::new(x, y)`.
#[inline]
pub const fn point3<T, U>(x: T, y: T, z: T) -> Point3D<T, U> {Point3D {x,y,z,_unit: PhantomData,}
}#[cfg(test)]
mod point2d {use crate::default::Point2D;use crate::point2;#[cfg(feature = "mint")]use mint;#[test]pub fn test_min() {let p1 = Point2D::new(1.0, 3.0);let p2 = Point2D::new(2.0, 2.0);let result = p1.min(p2);assert_eq!(result, Point2D::new(1.0, 2.0));}#[test]pub fn test_max() {let p1 = Point2D::new(1.0, 3.0);let p2 = Point2D::new(2.0, 2.0);let result = p1.max(p2);assert_eq!(result, Point2D::new(2.0, 3.0));}#[cfg(feature = "mint")]#[test]pub fn test_mint() {let p1 = Point2D::new(1.0, 3.0);let pm: mint::Point2<_> = p1.into();let p2 = Point2D::from(pm);assert_eq!(p1, p2);}#[test]pub fn test_conv_vector() {for i in 0..100 {// We don't care about these values as long as they are not the same.let x = i as f32 * 0.012345;let y = i as f32 * 0.987654;let p: Point2D<f32> = point2(x, y);assert_eq!(p.to_vector().to_point(), p);}}#[test]pub fn test_swizzling() {let p: Point2D<i32> = point2(1, 2);assert_eq!(p.yx(), point2(2, 1));}#[test]pub fn test_distance_to() {let p1 = Point2D::new(1.0, 2.0);let p2 = Point2D::new(2.0, 2.0);assert_eq!(p1.distance_to(p2), 1.0);let p1 = Point2D::new(1.0, 2.0);let p2 = Point2D::new(1.0, 4.0);assert_eq!(p1.distance_to(p2), 2.0);}mod ops {use crate::default::Point2D;use crate::scale::Scale;use crate::{size2, vec2, Vector2D};pub enum Mm {}pub enum Cm {}pub type Point2DMm<T> = crate::Point2D<T, Mm>;pub type Point2DCm<T> = crate::Point2D<T, Cm>;#[test]pub fn test_neg() {assert_eq!(-Point2D::new(1.0, 2.0), Point2D::new(-1.0, -2.0));assert_eq!(-Point2D::new(0.0, 0.0), Point2D::new(-0.0, -0.0));assert_eq!(-Point2D::new(-1.0, -2.0), Point2D::new(1.0, 2.0));}#[test]pub fn test_add_size() {let p1 = Point2DMm::new(1.0, 2.0);let p2 = size2(3.0, 4.0);let result = p1 + p2;assert_eq!(result, Point2DMm::new(4.0, 6.0));}#[test]pub fn test_add_assign_size() {let mut p1 = Point2DMm::new(1.0, 2.0);p1 += size2(3.0, 4.0);assert_eq!(p1, Point2DMm::new(4.0, 6.0));}#[test]pub fn test_add_vec() {let p1 = Point2DMm::new(1.0, 2.0);let p2 = vec2(3.0, 4.0);let result = p1 + p2;assert_eq!(result, Point2DMm::new(4.0, 6.0));}#[test]pub fn test_add_assign_vec() {let mut p1 = Point2DMm::new(1.0, 2.0);p1 += vec2(3.0, 4.0);assert_eq!(p1, Point2DMm::new(4.0, 6.0));}#[test]pub fn test_sub() {let p1 = Point2DMm::new(1.0, 2.0);let p2 = Point2DMm::new(3.0, 4.0);let result = p1 - p2;assert_eq!(result, Vector2D::<_, Mm>::new(-2.0, -2.0));}#[test]pub fn test_sub_size() {let p1 = Point2DMm::new(1.0, 2.0);let p2 = size2(3.0, 4.0);let result = p1 - p2;assert_eq!(result, Point2DMm::new(-2.0, -2.0));}#[test]pub fn test_sub_assign_size() {let mut p1 = Point2DMm::new(1.0, 2.0);p1 -= size2(3.0, 4.0);assert_eq!(p1, Point2DMm::new(-2.0, -2.0));}#[test]pub fn test_sub_vec() {let p1 = Point2DMm::new(1.0, 2.0);let p2 = vec2(3.0, 4.0);let result = p1 - p2;assert_eq!(result, Point2DMm::new(-2.0, -2.0));}#[test]pub fn test_sub_assign_vec() {let mut p1 = Point2DMm::new(1.0, 2.0);p1 -= vec2(3.0, 4.0);assert_eq!(p1, Point2DMm::new(-2.0, -2.0));}#[test]pub fn test_mul_scalar() {let p1: Point2D<f32> = Point2D::new(3.0, 5.0);let result = p1 * 5.0;assert_eq!(result, Point2D::new(15.0, 25.0));}#[test]pub fn test_mul_assign_scalar() {let mut p1 = Point2D::new(3.0, 5.0);p1 *= 5.0;assert_eq!(p1, Point2D::new(15.0, 25.0));}#[test]pub fn test_mul_scale() {let p1 = Point2DMm::new(1.0, 2.0);let cm_per_mm: Scale<f32, Mm, Cm> = Scale::new(0.1);let result = p1 * cm_per_mm;assert_eq!(result, Point2DCm::new(0.1, 0.2));}#[test]pub fn test_mul_assign_scale() {let mut p1 = Point2DMm::new(1.0, 2.0);let scale: Scale<f32, Mm, Mm> = Scale::new(0.1);p1 *= scale;assert_eq!(p1, Point2DMm::new(0.1, 0.2));}#[test]pub fn test_div_scalar() {let p1: Point2D<f32> = Point2D::new(15.0, 25.0);let result = p1 / 5.0;assert_eq!(result, Point2D::new(3.0, 5.0));}#[test]pub fn test_div_assign_scalar() {let mut p1: Point2D<f32> = Point2D::new(15.0, 25.0);p1 /= 5.0;assert_eq!(p1, Point2D::new(3.0, 5.0));}#[test]pub fn test_div_scale() {let p1 = Point2DCm::new(0.1, 0.2);let cm_per_mm: Scale<f32, Mm, Cm> = Scale::new(0.1);let result = p1 / cm_per_mm;assert_eq!(result, Point2DMm::new(1.0, 2.0));}#[test]pub fn test_div_assign_scale() {let mut p1 = Point2DMm::new(0.1, 0.2);let scale: Scale<f32, Mm, Mm> = Scale::new(0.1);p1 /= scale;assert_eq!(p1, Point2DMm::new(1.0, 2.0));}#[test]pub fn test_point_debug_formatting() {let n = 1.23456789;let p1 = Point2D::new(n, -n);let should_be = format!("({:.4}, {:.4})", n, -n);let got = format!("{:.4?}", p1);assert_eq!(got, should_be);}}mod euclid {use crate::default::{Point2D, Size2D};use crate::point2;#[test]pub fn test_rem_euclid() {let p = Point2D::new(7.0, -7.0);let s = Size2D::new(4.0, -4.0);assert_eq!(p.rem_euclid(&s), point2(3.0, 1.0));assert_eq!((-p).rem_euclid(&s), point2(1.0, 3.0));assert_eq!(p.rem_euclid(&-s), point2(3.0, 1.0));}#[test]pub fn test_div_euclid() {let p = Point2D::new(7.0, -7.0);let s = Size2D::new(4.0, -4.0);assert_eq!(p.div_euclid(&s), point2(1.0, 2.0));assert_eq!((-p).div_euclid(&s), point2(-2.0, -1.0));assert_eq!(p.div_euclid(&-s), point2(-1.0, -2.0));}}
}#[cfg(test)]
mod point3d {use crate::default;use crate::default::Point3D;use crate::{point2, point3};#[cfg(feature = "mint")]use mint;#[test]pub fn test_min() {let p1 = Point3D::new(1.0, 3.0, 5.0);let p2 = Point3D::new(2.0, 2.0, -1.0);let result = p1.min(p2);assert_eq!(result, Point3D::new(1.0, 2.0, -1.0));}#[test]pub fn test_max() {let p1 = Point3D::new(1.0, 3.0, 5.0);let p2 = Point3D::new(2.0, 2.0, -1.0);let result = p1.max(p2);assert_eq!(result, Point3D::new(2.0, 3.0, 5.0));}#[test]pub fn test_conv_vector() {use crate::point3;for i in 0..100 {// We don't care about these values as long as they are not the same.let x = i as f32 * 0.012345;let y = i as f32 * 0.987654;let z = x * y;let p: Point3D<f32> = point3(x, y, z);assert_eq!(p.to_vector().to_point(), p);}}#[test]pub fn test_swizzling() {let p: default::Point3D<i32> = point3(1, 2, 3);assert_eq!(p.xy(), point2(1, 2));assert_eq!(p.xz(), point2(1, 3));assert_eq!(p.yz(), point2(2, 3));}#[test]pub fn test_distance_to() {let p1 = Point3D::new(1.0, 2.0, 3.0);let p2 = Point3D::new(2.0, 2.0, 3.0);assert_eq!(p1.distance_to(p2), 1.0);let p1 = Point3D::new(1.0, 2.0, 3.0);let p2 = Point3D::new(1.0, 4.0, 3.0);assert_eq!(p1.distance_to(p2), 2.0);let p1 = Point3D::new(1.0, 2.0, 3.0);let p2 = Point3D::new(1.0, 2.0, 6.0);assert_eq!(p1.distance_to(p2), 3.0);}#[cfg(feature = "mint")]#[test]pub fn test_mint() {let p1 = Point3D::new(1.0, 3.0, 5.0);let pm: mint::Point3<_> = p1.into();let p2 = Point3D::from(pm);assert_eq!(p1, p2);}mod ops {use crate::default::Point3D;use crate::scale::Scale;use crate::{size3, vec3, Vector3D};pub enum Mm {}pub enum Cm {}pub type Point3DMm<T> = crate::Point3D<T, Mm>;pub type Point3DCm<T> = crate::Point3D<T, Cm>;#[test]pub fn test_neg() {assert_eq!(-Point3D::new(1.0, 2.0, 3.0), Point3D::new(-1.0, -2.0, -3.0));assert_eq!(-Point3D::new(0.0, 0.0, 0.0), Point3D::new(-0.0, -0.0, -0.0));assert_eq!(-Point3D::new(-1.0, -2.0, -3.0), Point3D::new(1.0, 2.0, 3.0));}#[test]pub fn test_add_size() {let p1 = Point3DMm::new(1.0, 2.0, 3.0);let p2 = size3(4.0, 5.0, 6.0);let result = p1 + p2;assert_eq!(result, Point3DMm::new(5.0, 7.0, 9.0));}#[test]pub fn test_add_assign_size() {let mut p1 = Point3DMm::new(1.0, 2.0, 3.0);p1 += size3(4.0, 5.0, 6.0);assert_eq!(p1, Point3DMm::new(5.0, 7.0, 9.0));}#[test]pub fn test_add_vec() {let p1 = Point3DMm::new(1.0, 2.0, 3.0);let p2 = vec3(4.0, 5.0, 6.0);let result = p1 + p2;assert_eq!(result, Point3DMm::new(5.0, 7.0, 9.0));}#[test]pub fn test_add_assign_vec() {let mut p1 = Point3DMm::new(1.0, 2.0, 3.0);p1 += vec3(4.0, 5.0, 6.0);assert_eq!(p1, Point3DMm::new(5.0, 7.0, 9.0));}#[test]pub fn test_sub() {let p1 = Point3DMm::new(1.0, 2.0, 3.0);let p2 = Point3DMm::new(4.0, 5.0, 6.0);let result = p1 - p2;assert_eq!(result, Vector3D::<_, Mm>::new(-3.0, -3.0, -3.0));}#[test]pub fn test_sub_size() {let p1 = Point3DMm::new(1.0, 2.0, 3.0);let p2 = size3(4.0, 5.0, 6.0);let result = p1 - p2;assert_eq!(result, Point3DMm::new(-3.0, -3.0, -3.0));}#[test]pub fn test_sub_assign_size() {let mut p1 = Point3DMm::new(1.0, 2.0, 3.0);p1 -= size3(4.0, 5.0, 6.0);assert_eq!(p1, Point3DMm::new(-3.0, -3.0, -3.0));}#[test]pub fn test_sub_vec() {let p1 = Point3DMm::new(1.0, 2.0, 3.0);let p2 = vec3(4.0, 5.0, 6.0);let result = p1 - p2;assert_eq!(result, Point3DMm::new(-3.0, -3.0, -3.0));}#[test]pub fn test_sub_assign_vec() {let mut p1 = Point3DMm::new(1.0, 2.0, 3.0);p1 -= vec3(4.0, 5.0, 6.0);assert_eq!(p1, Point3DMm::new(-3.0, -3.0, -3.0));}#[test]pub fn test_mul_scalar() {let p1: Point3D<f32> = Point3D::new(3.0, 5.0, 7.0);let result = p1 * 5.0;assert_eq!(result, Point3D::new(15.0, 25.0, 35.0));}#[test]pub fn test_mul_assign_scalar() {let mut p1: Point3D<f32> = Point3D::new(3.0, 5.0, 7.0);p1 *= 5.0;assert_eq!(p1, Point3D::new(15.0, 25.0, 35.0));}#[test]pub fn test_mul_scale() {let p1 = Point3DMm::new(1.0, 2.0, 3.0);let cm_per_mm: Scale<f32, Mm, Cm> = Scale::new(0.1);let result = p1 * cm_per_mm;assert_eq!(result, Point3DCm::new(0.1, 0.2, 0.3));}#[test]pub fn test_mul_assign_scale() {let mut p1 = Point3DMm::new(1.0, 2.0, 3.0);let scale: Scale<f32, Mm, Mm> = Scale::new(0.1);p1 *= scale;assert_eq!(p1, Point3DMm::new(0.1, 0.2, 0.3));}#[test]pub fn test_div_scalar() {let p1: Point3D<f32> = Point3D::new(15.0, 25.0, 35.0);let result = p1 / 5.0;assert_eq!(result, Point3D::new(3.0, 5.0, 7.0));}#[test]pub fn test_div_assign_scalar() {let mut p1: Point3D<f32> = Point3D::new(15.0, 25.0, 35.0);p1 /= 5.0;assert_eq!(p1, Point3D::new(3.0, 5.0, 7.0));}#[test]pub fn test_div_scale() {let p1 = Point3DCm::new(0.1, 0.2, 0.3);let cm_per_mm: Scale<f32, Mm, Cm> = Scale::new(0.1);let result = p1 / cm_per_mm;assert_eq!(result, Point3DMm::new(1.0, 2.0, 3.0));}#[test]pub fn test_div_assign_scale() {let mut p1 = Point3DMm::new(0.1, 0.2, 0.3);let scale: Scale<f32, Mm, Mm> = Scale::new(0.1);p1 /= scale;assert_eq!(p1, Point3DMm::new(1.0, 2.0, 3.0));}}mod euclid {use crate::default::{Point3D, Size3D};use crate::point3;#[test]pub fn test_rem_euclid() {let p = Point3D::new(7.0, -7.0, 0.0);let s = Size3D::new(4.0, -4.0, 12.0);assert_eq!(p.rem_euclid(&s), point3(3.0, 1.0, 0.0));assert_eq!((-p).rem_euclid(&s), point3(1.0, 3.0, 0.0));assert_eq!(p.rem_euclid(&-s), point3(3.0, 1.0, 0.0));}#[test]pub fn test_div_euclid() {let p = Point3D::new(7.0, -7.0, 0.0);let s = Size3D::new(4.0, -4.0, 12.0);assert_eq!(p.div_euclid(&s), point3(1.0, 2.0, 0.0));assert_eq!((-p).div_euclid(&s), point3(-2.0, -1.0, 0.0));assert_eq!(p.div_euclid(&-s), point3(-1.0, -2.0, 0.0));}}
}

二、Point2D结构体定义

代码定义了一个名为 Point2D 的泛型结构体，它表示一个二维点，并且这个结构体被标记（或说是“携带”）了一个单位（unit）。这里的单位可能是用来表示坐标的某种度量单位或者其它信息，但具体是什么并不在这个结构体定义中明确给出，而是通过泛型参数 U 提供的。

1、源码

#[repr(C)]
pub struct Point2D<T, U> {pub x: T,pub y: T,#[doc(hidden)]pub _unit: PhantomData<U>,
}

2、泛型参数

Point2D<T, U> 有两个泛型参数，T 和 U。T 用于表示点的坐标类型（比如 f32、f64、i32 等），而 U 用于表示与这个点相关的单位信息。

3、字段

• pub x: T：表示点的 X 坐标，其类型为泛型 T。
• pub y: T：表示点的 Y 坐标，其类型也为泛型 T。
• #[doc(hidden)] pub _unit: PhantomData< U >：这里使用了 PhantomData< U > 来携带单位信息 U 而不占用实际的内存空间。PhantomData 是一个在标准库中定义的结构体，用于在泛型代码中表示某种类型存在而不增加运行时的大小。#[doc(hidden)] 属性意味着这个字段在生成的文档中会被隐藏，可能是因为它对于最终用户来说不是很有用或者是一个实现细节。

4、#[repr©] 属性

这个属性指定了结构体的内存布局应该与 C 语言中的结构体布局兼容。这对于与 C 语言代码进行互操作时非常有用，因为它确保了结构体中字段的顺序和内存对齐方式与 C 语言中的相同。

5、总结

Point2D<T, U> 是一个用于表示二维点的泛型结构体，它允许指定坐标的类型（T）和与该点相关的单位信息（U），而不增加任何实际的内存开销用于存储单位信息。

三、二维点特性实现

1. Copy 实现：
   对于任何实现了Copy特性的T类型，Point2D<T, U>也实现了Copy。这意味着Point2D的实例可以通过值复制，而不需要显式的克隆操作。
2. Clone 实现：
   对于任何实现了Clone特性的T类型，Point2D<T, U>也实现了Clone。clone方法通过调用x和y的clone方法，创建了Point2D的一个新实例。
3. 序列化和反序列化（依赖serde库）：
   当启用serde特性时，Point2D<T, U>可以被序列化和反序列化，只要T类型支持相应的操作。这允许Point2D实例被方便地转换为JSON等格式，或从JSON等格式恢复。

四、二维点实用方法

1. map 方法：

• map方法接受一个闭包f，并将Point2D的每个坐标值（x和y）作为参数传递给闭包，生成一个新的Point2D实例，其坐标类型为闭包返回的类型V。
• 这允许对点的坐标进行各种转换，比如饱和减法（saturating_sub），而不改变点的类型参数U。

2. zip 方法：

• zip方法接受另一个Point2D实例rhs和一个闭包f，对两个点的对应坐标值应用闭包f，生成一个新的Vector2D实例（假设Vector2D是一个二维向量结构）。
• 这允许对两个点的坐标进行成对的转换，比如计算两个点之间的差值（如示例中的饱和减法）。

3. extend 方法：

• 将一个二维点扩展为一个三维点，通过指定一个z值。
• 参数z的类型与点的x和y坐标类型相同（T）。
• 返回Point3D<T, U>类型的新实例。

4. to_vector 方法：

• 将点转换为一个向量。这在数学上等同于从原点（0,0）减去该点。
• 返回Vector2D<T, U>类型的新实例。
• 使用PhantomData来携带单位类型U，但在此方法中未直接使用U。

5. yx 方法：

• 交换点的x和y坐标。
• 返回与输入相同类型的新实例（Self类型）。
• 示例代码展示了如何使用这个方法。

6. ceil 方法：

• 对点的每个坐标值向上取整（即，取不小于原数的最小整数）。
• 需要在T类型上实现Ceil trait（这通常意味着T是支持浮点运算的类型，如f32或f64）。
• 返回与输入相同类型的新实例。
• 示例代码展示了如何处理负数的向上取整。

7. floor 方法：

• 对点的每个坐标值向下取整（即，取不大于原数的最大整数）。
• 需要在T类型上实现Floor trait（类似于Ceil）。
• 返回与输入相同类型的新实例。
• 示例代码展示了如何处理负数的向下取整。

8. 线性插值方法 (lerp)
   线性插值方法lerp接受当前点（self）、另一个点（other）和一个参数t，然后返回这两个点之间的一个新点，这个点位于从当前点到另一个点的直线上，具体位置由t决定。t的取值范围是实数，通常用于动画和渐变效果中。当t=0.0时，返回当前点；当t=1.0时，返回另一个点；当t在0到1之间时，返回两点之间的某个点；当t超出这个范围时，返回的是当前点和另一个点之外的点。
   代码实现是正确的，但需要注意，当t为负值或大于1时，返回的点可能会超出原始两点的范围，这在某些情况下是有用的，但在其他情况下可能不是预期的行为。
   转换为整数类型的方法
   to_i32和to_i64方法将二维点的坐标从浮点数转换为整数（i32或i64），这里假设原始点的坐标是浮点数。这些方法简单地将浮点数坐标截断为整数，这可能会导致精度损失。在转换之前，您可能希望使用round(), ceil(), 或floor()函数来决定如何处理小数部分。

9. min 方法
   min方法的描述中似乎有些文本缺失，但从上下文中可以推断，它应该返回一个新点，该点的每个坐标都是当前点和另一个点相应坐标中的最小值。这个方法的实现可能需要比较两个点的x和y坐标，并返回一个新点，其x和y坐标分别是这两个点对应坐标的最小值。

10. is_finite 方法
    is_finite方法检查点的x和y坐标是否都是有限的（不是NaN或无穷大）。这对于数值计算的安全性很重要，可以避免因为使用了无效数值而导致的不可预测行为。

11. add_size 方法
    add_size方法将一个Size2D对象（表示宽度和高度）加到当前点上，返回一个新点。这个方法可能用于在图形界面编程中调整点的位置，以适应新的大小或边界。

12. 距离计算 (distance_to 方法):

• 实现了两个Point2D实例之间的距离计算。
• 它依赖于T类型实现了Real和Sub trait（Real不是Rust标准库的一部分，可能来自某个数学库，表示实数类型；Sub用于执行减法操作）。
• 方法内部通过减去另一个点并调用.length()方法计算距离。

13. 取反 (Neg trait实现):

• 允许对Point2D实例进行取反操作（即坐标乘以-1）。
• 依赖于T类型实现了Neg trait。

14. 与Size2D相加 (Add trait实现):

• 允许将Point2D与Size2D相加，可能用于将点的位置按照某个尺寸进行偏移。
• 依赖于T类型实现了Add trait。

15. 就地与Size2D相加 (AddAssign trait实现):

• 类似于Add，但直接在原地修改Point2D实例。
• 依赖于T类型实现了AddAssign trait。

16. 与Vector2D相加 (Add trait的另一个实现):

• 允许将Point2D与Vector2D相加，可能用于将点的位置按照某个向量进行移动。
• 依赖于T类型实现了Add trait。

17. 零值 (Zero trait实现):

• 提供了Point2D的零值（原点）。
• 依赖于T类型实现了Zero trait。

18. 四舍五入 (Round trait实现):

• 对Point2D的每个坐标进行四舍五入。
• 依赖于T类型实现了Round trait。

19. 向上取整 (Ceil trait实现):

• 对Point2D的每个坐标进行向上取整。
• 依赖于T类型实现了Ceil trait。

20. 向下取整 (Floor trait实现):

• 对Point2D的每个坐标进行向下取整。
• 依赖于T类型实现了Floor trait。

21. 近似相等 (ApproxEq trait实现):

• 允许比较两个Point2D实例是否在指定的误差范围内近似相等。
• 依赖于T类型实现了ApproxEq trait。

22. rem_euclid方法：
    +这个方法计算Point2D对象self相对于另一个Size2D对象other的欧几里得余数。

• 欧几里得余数与普通余数不同，它总是非负的。
• 方法接受一个&Size2D<T, U>作为参数，返回一个新的Point2D<T, U>，其中每个坐标都是self对应坐标对other对应维度的欧几里得余数。

23. div_euclid方法：

• 这个方法计算Point2D对象self相对于另一个Size2D对象other的欧几里得除法结果。
• euclid除法返回的是商，即self每个坐标除以other对应维度的整数部分。
• 同样，方法接受一个&Size2D<T, U>作为参数，返回一个新的Point2D<T, U>。

24. 实现Point2D<T, U>到[T; 2]的转换：

• 通过实现From<Point2D<T, U>> for [T; 2] trait，允许将Point2D转换为包含两个T类型元素的数组。
• 转换直接取Point2D的x和y坐标作为数组的两个元素。

25. 实现[T; 2]到Point2D<T, U>的转换：

• 通过实现From<[T; 2]> for Point2D<T, U> trait，允许将包含两个T类型元素的数组转换为Point2D。
• 转换将数组的前两个元素分别作为Point2D的x和y坐标。

26. 实现Point2D<T, U>到(T, T)的转换：

• 通过实现From<Point2D<T, U>> for (T, T) trait，允许将Point2D转换为包含两个T类型元素的元组。
• 转换与到数组的转换类似，取Point2D的x和y坐标作为元组的两个元素。

27. 实现(T, T)到Point2D<T, U>的转换：

• 通过实现From<(T, T)> for Point2D<T, U> trait，允许将包含两个T类型元素的元组转换为Point2D。
• 转换将元组的两个元素分别作为Point2D的x和y坐标。

五、Point3D结构体

比Point2D多一个z值，方法与Point2D相似。