| // Copyright 2013 The Servo Project Developers. See the COPYRIGHT |
| // file at the top-level directory of this distribution. |
| // |
| // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or |
| // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license |
| // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your |
| // option. This file may not be copied, modified, or distributed |
| // except according to those terms. |
| |
| use super::UnknownUnit; |
| use approxeq::ApproxEq; |
| use length::Length; |
| use scale::Scale; |
| use size::{Size2D, Size3D}; |
| #[cfg(feature = "mint")] |
| use mint; |
| use num::*; |
| use num_traits::{Float, NumCast}; |
| use vector::{Vector2D, Vector3D, vec2, vec3}; |
| use core::fmt; |
| use core::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Sub, SubAssign}; |
| use core::marker::PhantomData; |
| use core::cmp::{Eq, PartialEq}; |
| use core::hash::{Hash}; |
| #[cfg(feature = "serde")] |
| use serde; |
| |
| /// 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, |
| } |
| } |
| } |
| |
| #[cfg(feature = "serde")] |
| impl<'de, T, U> serde::Deserialize<'de> for Point2D<T, U> |
| where T: serde::Deserialize<'de> |
| { |
| fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> |
| where D: serde::Deserializer<'de> |
| { |
| let (x, y) = try!(serde::Deserialize::deserialize(deserializer)); |
| Ok(Point2D { x, y, _unit: PhantomData }) |
| } |
| } |
| |
| #[cfg(feature = "serde")] |
| impl<T, U> serde::Serialize for Point2D<T, U> |
| where T: serde::Serialize |
| { |
| fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> |
| where S: serde::Serializer |
| { |
| (&self.x, &self.y).serialize(serializer) |
| } |
| } |
| |
| impl<T, U> Eq for Point2D<T, U> where T: Eq {} |
| |
| impl<T, U> PartialEq for Point2D<T, U> |
| where T: PartialEq |
| { |
| fn eq(&self, other: &Self) -> bool { |
| self.x == other.x && self.y == other.y |
| } |
| } |
| |
| impl<T, U> Hash for Point2D<T, U> |
| where T: 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: Copy + Zero, U> Point2D<T, U> { |
| /// Constructor, setting all components to zero. |
| #[inline] |
| pub fn origin() -> Self { |
| point2(Zero::zero(), Zero::zero()) |
| } |
| |
| #[inline] |
| pub fn zero() -> Self { |
| Self::origin() |
| } |
| |
| /// Convert into a 3d point. |
| #[inline] |
| pub fn to_3d(&self) -> Point3D<T, U> { |
| point3(self.x, self.y, Zero::zero()) |
| } |
| } |
| |
| impl<T: fmt::Debug, U> fmt::Debug for Point2D<T, U> { |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { |
| write!(f, "({:?},{:?})", self.x, self.y) |
| } |
| } |
| |
| impl<T: fmt::Display, U> fmt::Display for Point2D<T, U> { |
| fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result { |
| write!(formatter, "({},{})", self.x, self.y) |
| } |
| } |
| |
| 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 taking scalar values directly. |
| #[inline] |
| pub const fn new(x: T, y: T) -> Self { |
| Point2D { |
| x, |
| y, |
| _unit: PhantomData, |
| } |
| } |
| } |
| |
| impl<T: Copy, U> Point2D<T, U> { |
| /// 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) |
| } |
| |
| /// 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. |
| #[inline] |
| pub fn yx(&self) -> Self { |
| point2(self.y, self.x) |
| } |
| |
| /// Drop the units, preserving only the numeric value. |
| #[inline] |
| pub fn to_untyped(&self) -> Point2D<T, UnknownUnit> { |
| point2(self.x, self.y) |
| } |
| |
| /// Tag a unitless value with units. |
| #[inline] |
| pub fn from_untyped(p: Point2D<T, UnknownUnit>) -> Self { |
| point2(p.x, p.y) |
| } |
| |
| /// Cast the unit |
| pub fn cast_unit<V>(&self) -> Point2D<T, V> { |
| point2(self.x, self.y) |
| } |
| |
| #[inline] |
| pub fn to_array(&self) -> [T; 2] { |
| [self.x, self.y] |
| } |
| |
| #[inline] |
| pub fn to_tuple(&self) -> (T, T) { |
| (self.x, self.y) |
| } |
| } |
| |
| 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: Copy + Add<T, Output = T>, U> Add<Size2D<T, U>> for Point2D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn add(self, other: Size2D<T, U>) -> Self { |
| point2(self.x + other.width, self.y + other.height) |
| } |
| } |
| |
| 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: 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 + Add<T, Output = T>, U> Add<Vector2D<T, U>> for Point2D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn add(self, other: Vector2D<T, U>) -> Self { |
| point2(self.x + other.x, self.y + other.y) |
| } |
| } |
| |
| impl<T: Copy + Sub<T, Output = T>, U> Sub for Point2D<T, U> { |
| type Output = Vector2D<T, U>; |
| #[inline] |
| fn sub(self, other: Self) -> Vector2D<T, U> { |
| vec2(self.x - other.x, self.y - other.y) |
| } |
| } |
| |
| impl<T: Copy + Sub<T, Output = T>, U> Sub<Vector2D<T, U>> for Point2D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn sub(self, other: Vector2D<T, U>) -> Self { |
| point2(self.x - other.x, self.y - other.y) |
| } |
| } |
| |
| impl<T: Float, U> Point2D<T, U> { |
| #[inline] |
| pub fn min(self, other: Self) -> Self { |
| point2(self.x.min(other.x), self.y.min(other.y)) |
| } |
| |
| #[inline] |
| pub fn max(self, other: Self) -> Self { |
| point2(self.x.max(other.x), self.y.max(other.y)) |
| } |
| |
| #[inline] |
| pub fn clamp(&self, start: Self, end: Self) -> Self { |
| self.max(start).min(end) |
| } |
| } |
| |
| impl<T: Copy + Mul<T, Output = T>, U> Mul<T> for Point2D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn mul(self, scale: T) -> Self { |
| 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 + Div<T, Output = T>, U> Div<T> for Point2D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn div(self, scale: T) -> Self { |
| 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 + Mul<T, Output = T>, U1, U2> Mul<Scale<T, U1, U2>> for Point2D<T, U1> { |
| type Output = Point2D<T, U2>; |
| #[inline] |
| fn mul(self, scale: Scale<T, U1, U2>) -> Point2D<T, U2> { |
| point2(self.x * scale.get(), self.y * scale.get()) |
| } |
| } |
| |
| impl<T: Copy + Div<T, Output = T>, U1, U2> Div<Scale<T, U1, U2>> for Point2D<T, U2> { |
| type Output = Point2D<T, U1>; |
| #[inline] |
| fn div(self, scale: Scale<T, U1, U2>) -> Point2D<T, U1> { |
| point2(self.x / scale.get(), self.y / scale.get()) |
| } |
| } |
| |
| impl<T: Round, U> Point2D<T, U> { |
| /// Rounds each component to the nearest integer value. |
| /// |
| /// This behavior is preserved for negative values (unlike the basic cast). |
| /// For example `{ -0.1, -0.8 }.round() == { 0.0, -1.0 }`. |
| #[inline] |
| #[must_use] |
| pub fn round(&self) -> Self { |
| point2(self.x.round(), self.y.round()) |
| } |
| } |
| |
| impl<T: Ceil, U> Point2D<T, U> { |
| /// 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). |
| /// For example `{ -0.1, -0.8 }.ceil() == { 0.0, 0.0 }`. |
| #[inline] |
| #[must_use] |
| pub fn ceil(&self) -> Self { |
| point2(self.x.ceil(), self.y.ceil()) |
| } |
| } |
| |
| impl<T: Floor, U> Point2D<T, U> { |
| /// 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). |
| /// For example `{ -0.1, -0.8 }.floor() == { -1.0, -1.0 }`. |
| #[inline] |
| #[must_use] |
| pub fn floor(&self) -> Self { |
| point2(self.x.floor(), self.y.floor()) |
| } |
| } |
| |
| 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 + Copy>(&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 + Copy>(&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, U> Point2D<T, U> |
| where |
| T: Copy + One + Add<Output = T> + Sub<Output = T> + Mul<Output = T>, |
| { |
| /// Linearly interpolate between this point and another point. |
| /// |
| /// `t` is expected to be between zero and one. |
| #[inline] |
| pub fn lerp(&self, other: Self, t: T) -> Self { |
| let one_t = T::one() - t; |
| point2(one_t * self.x + t * other.x, one_t * self.y + t * other.y) |
| } |
| } |
| |
| impl<T: Copy + 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(&self, other: &Self) -> bool { |
| self.x.approx_eq(&other.x) && self.y.approx_eq(&other.y) |
| } |
| |
| #[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: Copy, U> Into<[T; 2]> for Point2D<T, U> { |
| fn into(self) -> [T; 2] { |
| self.to_array() |
| } |
| } |
| |
| impl<T: Copy, U> From<[T; 2]> for Point2D<T, U> { |
| fn from(array: [T; 2]) -> Self { |
| point2(array[0], array[1]) |
| } |
| } |
| |
| impl<T: Copy, U> Into<(T, T)> for Point2D<T, U> { |
| fn into(self) -> (T, T) { |
| self.to_tuple() |
| } |
| } |
| |
| impl<T: Copy, 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> |
| where T: serde::Deserialize<'de> |
| { |
| fn deserialize<D>(deserializer: D) -> Result<Self, D::Error> |
| where D: serde::Deserializer<'de> |
| { |
| let (x, y, z) = try!(serde::Deserialize::deserialize(deserializer)); |
| Ok(Point3D { x, y, z, _unit: PhantomData }) |
| } |
| } |
| |
| #[cfg(feature = "serde")] |
| impl<T, U> serde::Serialize for Point3D<T, U> |
| where T: serde::Serialize |
| { |
| fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> |
| where S: serde::Serializer |
| { |
| (&self.x, &self.y, &self.z).serialize(serializer) |
| } |
| } |
| |
| impl<T, U> Eq for Point3D<T, U> where T: Eq {} |
| |
| impl<T, U> PartialEq for Point3D<T, U> |
| where T: 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> |
| where T: 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: Copy + Zero, U> Point3D<T, U> { |
| /// Constructor, setting all components to zero. |
| #[inline] |
| pub fn origin() -> Self { |
| point3(Zero::zero(), Zero::zero(), Zero::zero()) |
| } |
| |
| #[inline] |
| pub fn zero() -> Self { |
| Self::origin() |
| } |
| } |
| |
| impl<T: Copy + One, U> Point3D<T, U> { |
| #[inline] |
| pub fn to_array_4d(&self) -> [T; 4] { |
| [self.x, self.y, self.z, One::one()] |
| } |
| |
| #[inline] |
| pub fn to_tuple_4d(&self) -> (T, T, T, T) { |
| (self.x, self.y, self.z, One::one()) |
| } |
| } |
| |
| impl<T, U> Point3D<T, U> |
| where |
| T: Copy + One + Add<Output = T> + Sub<Output = T> + Mul<Output = T>, |
| { |
| /// Linearly interpolate between this point and another point. |
| /// |
| /// `t` is expected to be between zero and one. |
| #[inline] |
| pub fn lerp(&self, other: Self, t: T) -> Self { |
| 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: fmt::Debug, U> fmt::Debug for Point3D<T, U> { |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { |
| write!(f, "({:?},{:?},{:?})", self.x, self.y, self.z) |
| } |
| } |
| |
| impl<T: fmt::Display, U> fmt::Display for Point3D<T, U> { |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { |
| write!(f, "({},{},{})", self.x, self.y, self.z) |
| } |
| } |
| |
| impl<T: Copy + 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 taking scalar values directly. |
| #[inline] |
| pub const fn new(x: T, y: T, z: T) -> Self { |
| Point3D { |
| x, |
| y, |
| z, |
| _unit: PhantomData, |
| } |
| } |
| } |
| |
| impl<T: Copy, U> Point3D<T, U> { |
| /// 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) |
| } |
| |
| /// 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) |
| } |
| |
| #[inline] |
| pub fn to_array(&self) -> [T; 3] { |
| [self.x, self.y, self.z] |
| } |
| |
| #[inline] |
| pub fn to_tuple(&self) -> (T, T, T) { |
| (self.x, self.y, self.z) |
| } |
| |
| /// Drop the units, preserving only the numeric value. |
| #[inline] |
| pub fn to_untyped(&self) -> Point3D<T, UnknownUnit> { |
| point3(self.x, self.y, self.z) |
| } |
| |
| /// Tag a unitless value with units. |
| #[inline] |
| pub fn from_untyped(p: Point3D<T, UnknownUnit>) -> Self { |
| point3(p.x, p.y, p.z) |
| } |
| |
| /// Cast the unit |
| 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() |
| } |
| } |
| |
| 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: 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: 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 + Add<T, Output = T>, U> Add<Vector3D<T, U>> for Point3D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn add(self, other: Vector3D<T, U>) -> Self { |
| point3(self.x + other.x, self.y + other.y, self.z + other.z) |
| } |
| } |
| |
| impl<T: Copy + Sub<T, Output = T>, U> Sub for Point3D<T, U> { |
| type Output = Vector3D<T, U>; |
| #[inline] |
| fn sub(self, other: Self) -> Vector3D<T, U> { |
| vec3(self.x - other.x, self.y - other.y, self.z - other.z) |
| } |
| } |
| |
| impl<T: Copy + Sub<T, Output = T>, U> Sub<Vector3D<T, U>> for Point3D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn sub(self, other: Vector3D<T, U>) -> Self { |
| point3(self.x - other.x, self.y - other.y, self.z - other.z) |
| } |
| } |
| |
| impl<T: Copy + Mul<T, Output = T>, U> Mul<T> for Point3D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn mul(self, scale: T) -> Self { |
| point3(self.x * scale, self.y * scale, self.z * scale) |
| } |
| } |
| |
| impl<T: Copy + Mul<T, Output = T>, U1, U2> Mul<Scale<T, U1, U2>> for Point3D<T, U1> { |
| type Output = Point3D<T, U2>; |
| #[inline] |
| fn mul(self, scale: Scale<T, U1, U2>) -> Point3D<T, U2> { |
| point3(self.x * scale.get(), self.y * scale.get(), self.z * scale.get()) |
| } |
| } |
| |
| impl<T: Copy + Div<T, Output = T>, U> Div<T> for Point3D<T, U> { |
| type Output = Self; |
| #[inline] |
| fn div(self, scale: T) -> Self { |
| point3(self.x / scale, self.y / scale, self.z / scale) |
| } |
| } |
| |
| impl<T: Copy + Div<T, Output = T>, U1, U2> Div<Scale<T, U1, U2>> for Point3D<T, U2> { |
| type Output = Point3D<T, U1>; |
| #[inline] |
| fn div(self, scale: Scale<T, U1, U2>) -> Point3D<T, U1> { |
| point3(self.x / scale.get(), self.y / scale.get(), self.z / scale.get()) |
| } |
| } |
| |
| impl<T: Float, U> Point3D<T, U> { |
| #[inline] |
| pub fn min(self, other: Self) -> Self { |
| point3( |
| self.x.min(other.x), |
| self.y.min(other.y), |
| self.z.min(other.z), |
| ) |
| } |
| |
| #[inline] |
| pub fn max(self, other: Self) -> Self { |
| point3( |
| self.x.max(other.x), |
| self.y.max(other.y), |
| self.z.max(other.z), |
| ) |
| } |
| |
| #[inline] |
| pub fn clamp(&self, start: Self, end: Self) -> Self { |
| self.max(start).min(end) |
| } |
| } |
| |
| impl<T: Round, U> Point3D<T, U> { |
| /// Rounds each component to the nearest integer value. |
| /// |
| /// This behavior is preserved for negative values (unlike the basic cast). |
| #[inline] |
| #[must_use] |
| pub fn round(&self) -> Self { |
| point3(self.x.round(), self.y.round(), self.z.round()) |
| } |
| } |
| |
| impl<T: Ceil, U> Point3D<T, U> { |
| /// 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). |
| #[inline] |
| #[must_use] |
| pub fn ceil(&self) -> Self { |
| point3(self.x.ceil(), self.y.ceil(), self.z.ceil()) |
| } |
| } |
| |
| impl<T: Floor, U> Point3D<T, U> { |
| /// 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). |
| #[inline] |
| #[must_use] |
| pub fn floor(&self) -> Self { |
| point3(self.x.floor(), self.y.floor(), self.z.floor()) |
| } |
| } |
| |
| 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 + Copy>(&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. |
| #[inline] |
| pub fn try_cast<NewT: NumCast + Copy>(&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: Copy + 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(&self, other: &Self) -> bool { |
| self.x.approx_eq(&other.x) && self.y.approx_eq(&other.y) && self.z.approx_eq(&other.z) |
| } |
| |
| #[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: Copy, U> Into<[T; 3]> for Point3D<T, U> { |
| fn into(self) -> [T; 3] { |
| self.to_array() |
| } |
| } |
| |
| impl<T: Copy, U> From<[T; 3]> for Point3D<T, U> { |
| fn from(array: [T; 3]) -> Self { |
| point3(array[0], array[1], array[2]) |
| } |
| } |
| |
| impl<T: Copy, U> Into<(T, T, T)> for Point3D<T, U> { |
| fn into(self) -> (T, T, T) { |
| self.to_tuple() |
| } |
| } |
| |
| impl<T: Copy, U> From<(T, T, T)> for Point3D<T, U> { |
| fn from(tuple: (T, T, T)) -> Self { |
| point3(tuple.0, tuple.1, tuple.2) |
| } |
| } |
| |
| #[inline] |
| pub const fn point2<T, U>(x: T, y: T) -> Point2D<T, U> { |
| Point2D { |
| x, |
| y, |
| _unit: PhantomData, |
| } |
| } |
| |
| #[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 default::Point2D; |
| use {point2, vec2}; |
| use scale::Scale; |
| |
| #[cfg(feature = "mint")] |
| use mint; |
| |
| #[test] |
| pub fn test_scalar_mul() { |
| 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_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); |
| } |
| |
| pub enum Mm {} |
| pub enum Cm {} |
| |
| pub type Point2DMm<T> = super::Point2D<T, Mm>; |
| pub type Point2DCm<T> = super::Point2D<T, Cm>; |
| |
| #[test] |
| pub fn test_add() { |
| 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() { |
| 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_typed_scalar_mul() { |
| 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_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)); |
| } |
| } |
| |
| #[cfg(test)] |
| mod point3d { |
| use default; |
| use default::Point3D; |
| use {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 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)); |
| } |
| |
| #[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); |
| } |
| } |