| // Copyright 2018 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 {TypedVector2D, TypedPoint2D, TypedVector3D, TypedPoint3D, TypedTransform2D, TypedTransform3D}; |
| use {TypedSize2D, TypedRect, vec2, point2, vec3, point3}; |
| use num::*; |
| use trig::Trig; |
| use core::ops::{Add, Sub, Neg, Mul, Div}; |
| use core::marker::PhantomData; |
| use core::fmt; |
| |
| /// A 2d transformation from a space to another that can only express translations. |
| /// |
| /// The main benefit of this type over a TypedVector2D is the ability to cast |
| /// between a source and a destination spaces. |
| /// |
| /// Example: |
| /// |
| /// ``` |
| /// use euclid::{TypedTranslation2D, TypedPoint2D, point2}; |
| /// struct ParentSpace; |
| /// struct ChildSpace; |
| /// type ScrollOffset = TypedTranslation2D<i32, ParentSpace, ChildSpace>; |
| /// type ParentPoint = TypedPoint2D<i32, ParentSpace>; |
| /// type ChildPoint = TypedPoint2D<i32, ChildSpace>; |
| /// |
| /// let scrolling = ScrollOffset::new(0, 100); |
| /// let p1: ParentPoint = point2(0, 0); |
| /// let p2: ChildPoint = scrolling.transform_point(&p1); |
| /// ``` |
| /// |
| #[derive(EuclidMatrix)] |
| #[repr(C)] |
| pub struct TypedTranslation2D<T, Src, Dst> { |
| pub x: T, |
| pub y: T, |
| #[doc(hidden)] |
| pub _unit: PhantomData<(Src, Dst)>, |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> { |
| #[inline] |
| pub fn new(x: T, y: T) -> Self { |
| TypedTranslation2D { |
| x, |
| y, |
| _unit: PhantomData, |
| } |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> |
| where |
| T : Copy |
| { |
| #[inline] |
| pub fn to_array(&self) -> [T; 2] { |
| [self.x, self.y] |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> |
| where |
| T : Copy + Zero |
| { |
| #[inline] |
| pub fn identity() -> Self { |
| let _0 = T::zero(); |
| TypedTranslation2D::new(_0, _0) |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> |
| where |
| T: Zero + PartialEq |
| { |
| #[inline] |
| pub fn is_identity(&self) -> bool { |
| self.x == T::zero() && self.y == T::zero() |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> |
| where |
| T: Copy + Add<T, Output = T> |
| { |
| /// Translate a point and cast its unit. |
| #[inline] |
| pub fn transform_point(&self, p: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> { |
| point2(p.x + self.x, p.y + self.y) |
| } |
| |
| /// Translate a rectangle and cast its unit. |
| #[inline] |
| pub fn transform_rect(&self, r: &TypedRect<T, Src>) -> TypedRect<T, Dst> { |
| TypedRect { |
| origin: self.transform_point(&r.origin), |
| size: self.transform_size(&r.size), |
| } |
| } |
| |
| /// No-op, just cast the unit. |
| #[inline] |
| pub fn transform_size(&self, s: &TypedSize2D<T, Src>) -> TypedSize2D<T, Dst> { |
| TypedSize2D::new(s.width, s.height) |
| } |
| |
| /// Cast into a 2D vector. |
| pub fn to_vector(&self) -> TypedVector2D<T, Src> { |
| vec2(self.x, self.y) |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> |
| where |
| T: Copy + Neg<Output = T> |
| { |
| /// Return the inverse transformation. |
| #[inline] |
| pub fn inverse(&self) -> TypedTranslation2D<T, Dst, Src> { |
| TypedTranslation2D::new(-self.x, -self.y) |
| } |
| } |
| |
| impl<T, Src, Dst1, Dst2> Add<TypedTranslation2D<T, Dst1, Dst2>> |
| for TypedTranslation2D<T, Src, Dst1> |
| where |
| T: Copy + Add<T, Output = T> |
| { |
| type Output = TypedTranslation2D<T, Src, Dst2>; |
| fn add(self, other: TypedTranslation2D<T, Dst1, Dst2>) -> TypedTranslation2D<T, Src, Dst2> { |
| TypedTranslation2D::new( |
| self.x + other.x, |
| self.y + other.y, |
| ) |
| } |
| } |
| |
| impl<T, Src, Dst1, Dst2> |
| Sub<TypedTranslation2D<T, Dst1, Dst2>> |
| for TypedTranslation2D<T, Src, Dst2> |
| where |
| T: Copy + Sub<T, Output = T> |
| { |
| type Output = TypedTranslation2D<T, Src, Dst1>; |
| fn sub(self, other: TypedTranslation2D<T, Dst1, Dst2>) -> TypedTranslation2D<T, Src, Dst1> { |
| TypedTranslation2D::new( |
| self.x - other.x, |
| self.y - other.y, |
| ) |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation2D<T, Src, Dst> |
| where |
| T: Copy |
| + Clone |
| + Add<T, Output = T> |
| + Mul<T, Output = T> |
| + Div<T, Output = T> |
| + Sub<T, Output = T> |
| + Trig |
| + PartialOrd |
| + One |
| + Zero, |
| { |
| /// Returns the matrix representation of this translation. |
| #[inline] |
| pub fn to_transform(&self) -> TypedTransform2D<T, Src, Dst> { |
| TypedTransform2D::create_translation(self.x, self.y) |
| } |
| } |
| |
| impl<T, Src, Dst> From<TypedVector2D<T, Src>> for TypedTranslation2D<T, Src, Dst> |
| where |
| T: Copy |
| { |
| fn from(v: TypedVector2D<T, Src>) -> Self { |
| TypedTranslation2D::new(v.x, v.y) |
| } |
| } |
| |
| impl<T, Src, Dst> Into<TypedVector2D<T, Src>> for TypedTranslation2D<T, Src, Dst> |
| where |
| T: Copy |
| { |
| fn into(self) -> TypedVector2D<T, Src> { |
| vec2(self.x, self.y) |
| } |
| } |
| |
| impl<T, Src, Dst> Into<TypedTransform2D<T, Src, Dst>> for TypedTranslation2D<T, Src, Dst> |
| where |
| T: Copy |
| + Clone |
| + Add<T, Output = T> |
| + Mul<T, Output = T> |
| + Div<T, Output = T> |
| + Sub<T, Output = T> |
| + Trig |
| + PartialOrd |
| + One |
| + Zero, |
| { |
| fn into(self) -> TypedTransform2D<T, Src, Dst> { |
| self.to_transform() |
| } |
| } |
| |
| impl <T, Src, Dst> Default for TypedTranslation2D<T, Src, Dst> |
| where T: Copy + Zero |
| { |
| fn default() -> Self { |
| Self::identity() |
| } |
| } |
| |
| impl<T, Src, Dst> fmt::Debug for TypedTranslation2D<T, Src, Dst> |
| where T: Copy + fmt::Debug { |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { |
| self.to_array().fmt(f) |
| } |
| } |
| |
| |
| |
| /// A 3d transformation from a space to another that can only express translations. |
| /// |
| /// The main benefit of this type over a TypedVector3D is the ability to cast |
| /// between a source and a destination spaces. |
| #[derive(EuclidMatrix)] |
| #[repr(C)] |
| pub struct TypedTranslation3D<T, Src, Dst> { |
| pub x: T, |
| pub y: T, |
| pub z: T, |
| #[doc(hidden)] |
| pub _unit: PhantomData<(Src, Dst)>, |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> { |
| #[inline] |
| pub fn new(x: T, y: T, z: T) -> Self { |
| TypedTranslation3D { |
| x, |
| y, |
| z, |
| _unit: PhantomData, |
| } |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy |
| { |
| #[inline] |
| pub fn to_array(&self) -> [T; 3] { |
| [self.x, self.y, self.z] |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy + Zero |
| { |
| #[inline] |
| pub fn identity() -> Self { |
| let _0 = T::zero(); |
| TypedTranslation3D::new(_0, _0, _0) |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> |
| where |
| T: Zero + PartialEq |
| { |
| #[inline] |
| pub fn is_identity(&self) -> bool { |
| self.x == T::zero() && self.y == T::zero() && self.z == T::zero() |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy + Add<T, Output = T> |
| { |
| /// Translate a point and cast its unit. |
| #[inline] |
| pub fn transform_point3d(&self, p: &TypedPoint3D<T, Src>) -> TypedPoint3D<T, Dst> { |
| point3(p.x + self.x, p.y + self.y, p.z + self.z) |
| } |
| |
| /// Translate a point and cast its unit. |
| #[inline] |
| pub fn transform_point2d(&self, p: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> { |
| point2(p.x + self.x, p.y + self.y) |
| } |
| |
| /// Translate a rectangle and cast its unit. |
| #[inline] |
| pub fn transform_rect(&self, r: &TypedRect<T, Src>) -> TypedRect<T, Dst> { |
| TypedRect { |
| origin: self.transform_point2d(&r.origin), |
| size: self.transform_size(&r.size), |
| } |
| } |
| |
| /// No-op, just cast the unit. |
| #[inline] |
| pub fn transform_size(&self, s: &TypedSize2D<T, Src>) -> TypedSize2D<T, Dst> { |
| TypedSize2D::new(s.width, s.height) |
| } |
| |
| /// Cast into a 3D vector. |
| pub fn to_vector(&self) -> TypedVector3D<T, Src> { |
| vec3(self.x, self.y, self.z) |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy + Neg<Output = T> |
| { |
| /// Return the inverse transformation. |
| #[inline] |
| pub fn inverse(&self) -> TypedTranslation3D<T, Dst, Src> { |
| TypedTranslation3D::new(-self.x, -self.y, -self.z) |
| } |
| } |
| |
| impl<T, Src, Dst1, Dst2> Add<TypedTranslation3D<T, Dst1, Dst2>> |
| for TypedTranslation3D<T, Src, Dst1> |
| where |
| T: Copy + Add<T, Output = T> |
| { |
| type Output = TypedTranslation3D<T, Src, Dst2>; |
| fn add(self, other: TypedTranslation3D<T, Dst1, Dst2>) -> TypedTranslation3D<T, Src, Dst2> { |
| TypedTranslation3D::new( |
| self.x + other.x, |
| self.y + other.y, |
| self.z + other.z, |
| ) |
| } |
| } |
| |
| impl<T, Src, Dst1, Dst2> |
| Sub<TypedTranslation3D<T, Dst1, Dst2>> |
| for TypedTranslation3D<T, Src, Dst2> |
| where |
| T: Copy + Sub<T, Output = T> |
| { |
| type Output = TypedTranslation3D<T, Src, Dst1>; |
| fn sub(self, other: TypedTranslation3D<T, Dst1, Dst2>) -> TypedTranslation3D<T, Src, Dst1> { |
| TypedTranslation3D::new( |
| self.x - other.x, |
| self.y - other.y, |
| self.z - other.z, |
| ) |
| } |
| } |
| |
| impl<T, Src, Dst> TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy + Clone + |
| Add<T, Output=T> + |
| Sub<T, Output=T> + |
| Mul<T, Output=T> + |
| Div<T, Output=T> + |
| Neg<Output=T> + |
| PartialOrd + |
| Trig + |
| One + Zero, |
| { |
| /// Returns the matrix representation of this translation. |
| #[inline] |
| pub fn to_transform(&self) -> TypedTransform3D<T, Src, Dst> { |
| TypedTransform3D::create_translation(self.x, self.y, self.z) |
| } |
| } |
| |
| impl<T, Src, Dst> From<TypedVector3D<T, Src>> for TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy |
| { |
| fn from(v: TypedVector3D<T, Src>) -> Self { |
| TypedTranslation3D::new(v.x, v.y, v.z) |
| } |
| } |
| |
| impl<T, Src, Dst> Into<TypedVector3D<T, Src>> for TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy |
| { |
| fn into(self) -> TypedVector3D<T, Src> { |
| vec3(self.x, self.y, self.z) |
| } |
| } |
| |
| impl<T, Src, Dst> Into<TypedTransform3D<T, Src, Dst>> for TypedTranslation3D<T, Src, Dst> |
| where |
| T: Copy + Clone + |
| Add<T, Output=T> + |
| Sub<T, Output=T> + |
| Mul<T, Output=T> + |
| Div<T, Output=T> + |
| Neg<Output=T> + |
| PartialOrd + |
| Trig + |
| One + Zero, |
| { |
| fn into(self) -> TypedTransform3D<T, Src, Dst> { |
| self.to_transform() |
| } |
| } |
| |
| impl <T, Src, Dst> Default for TypedTranslation3D<T, Src, Dst> |
| where T: Copy + Zero |
| { |
| fn default() -> Self { |
| Self::identity() |
| } |
| } |
| |
| impl<T, Src, Dst> fmt::Debug for TypedTranslation3D<T, Src, Dst> |
| where T: Copy + fmt::Debug { |
| fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { |
| self.to_array().fmt(f) |
| } |
| } |
| |
| #[test] |
| fn simple_translation2d() { |
| use rect; |
| |
| struct A; |
| struct B; |
| |
| type Translation = TypedTranslation2D<i32, A, B>; |
| type SrcRect = TypedRect<i32, A>; |
| type DstRect = TypedRect<i32, B>; |
| |
| let tx = Translation::new(10, -10); |
| let r1: SrcRect = rect(10, 20, 30, 40); |
| let r2: DstRect = tx.transform_rect(&r1); |
| assert_eq!(r2, rect(20, 10, 30, 40)); |
| |
| let inv_tx = tx.inverse(); |
| assert_eq!(inv_tx.transform_rect(&r2), r1); |
| |
| assert!((tx + inv_tx).is_identity()); |
| } |
| |
| #[test] |
| fn simple_translation3d() { |
| struct A; |
| struct B; |
| |
| type Translation = TypedTranslation3D<i32, A, B>; |
| type SrcPoint = TypedPoint3D<i32, A>; |
| type DstPoint = TypedPoint3D<i32, B>; |
| |
| let tx = Translation::new(10, -10, 100); |
| let p1: SrcPoint = point3(10, 20, 30); |
| let p2: DstPoint = tx.transform_point3d(&p1); |
| assert_eq!(p2, point3(20, 10, 130)); |
| |
| let inv_tx = tx.inverse(); |
| assert_eq!(inv_tx.transform_point3d(&p2), p1); |
| |
| assert!((tx + inv_tx).is_identity()); |
| } |