Bug 1440664 - Update Cargo lockfiles and re-vendor rust dependencies. r=jrmuizel

MozReview-Commit-ID: IZncD4fgDk7

--HG--
extra : rebase_source : e40e805ac4f069920277515ec509bc29c68b42d5
This commit is contained in:
Kartikaya Gupta 2018-03-01 16:51:58 -05:00
Родитель ee5a6b3d13
Коммит 2cfaff56ac
27 изменённых файлов: 26 добавлений и 6839 удалений

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{"files":{".travis.yml":"13574ca06216b94913348afb2beae9db9929f8964fbc45b3c00344ee281e1f52","COPYRIGHT":"ec82b96487e9e778ee610c7ab245162464782cfa1f555c2299333f8dbe5c036a","Cargo.toml":"718175d1afbcb7f5eaefbbc6724c6a052f347e3855d7ab1bdb554c0f23fc9711","LICENSE-APACHE":"a60eea817514531668d7e00765731449fe14d059d3249e0bc93b36de45f759f2","LICENSE-MIT":"62065228e42caebca7e7d7db1204cbb867033de5982ca4009928915e4095f3a3","README.md":"625bec69c76ce5423fdd05cfe46922b2680ec517f97c5854ce34798d1d8a9541","src/approxeq.rs":"6cf810ad389c73a27141a7a67454ed12d4b01c3c16605b9a7414b389bc0615dd","src/length.rs":"35340e1507b00d181dc384b63910c00a8d8ffc969d502f9ec9ce809339813d4d","src/lib.rs":"a9f80061b4983330972e05d53c93a5e9ed654eb3e49301e4a3eb077431c17b87","src/macros.rs":"5e48523febc5d548bc6bbb439433aedacd112904ad8a12d00464d8c483832b6b","src/num.rs":"749b201289fc6663199160a2f9204e17925fd3053f8ab7779e7bfb377ad06227","src/point.rs":"b6c605fa32eebb59ce9187703925cc4cb9689d3d8b1a8eb34cd5711c27afd8e7","src/rect.rs":"4c6c07f388d0cf137628e6fc10f5e24eb418eb0db75323c97043b67478d89d2f","src/rotation.rs":"18c797fbd81202fc8872c20c2831141610fba93d856881b09dbbd8832bc1b260","src/scale.rs":"11208e8b545a20a3ad538847402bdaefbeab0084b718cf52fb60f65bcc46eca1","src/side_offsets.rs":"334a786b8e97147bc2276a5e074b3f3bef445b99575958c29f062d2635e315ac","src/size.rs":"7a9ab2adfc158feadff5d5d90f72a107b7220497b1f66188ca027ed1caed978d","src/transform2d.rs":"263ee39937cfde3db8fbbb2dc19df833e8473d37bb314957bd9488a6a4a5f1df","src/transform3d.rs":"118dcfbba9e550e8e71c1efeaf1a9af09d60c10ad5d3345f4627bc919082ad6f","src/trig.rs":"6af3c834b8402c01c05f4a320e200c87550b46d7175f82eac1f97166c2680ec1","src/vector.rs":"ed864e70095dee3ab369cfb6c79718fff333bd82230b7c56e422654c52db99cf"},"package":"926c639bfdff1f3063f76bb66245f6d2b691aa20fdbaabecc38b2947a13a4eba"}

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third_party/rust/euclid-0.16.0/.travis.yml поставляемый
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language: rust
rust:
- 1.17.0
- stable
- beta
- nightly
notifications:
webhooks: http://build.servo.org:54856/travis
matrix:
include:
- rust: stable
env: FEATURES=""
- rust: beta
env: FEATURES=""
- rust: nightly
env: FEATURES=""
- rust: nightly
env: FEATURES="unstable"
script:
- cargo build --verbose --features "$FEATURES"
- cargo test --verbose --features "$FEATURES"

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third_party/rust/euclid-0.16.0/COPYRIGHT поставляемый
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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. All files in the project carrying such notice may not be
copied, modified, or distributed except according to those terms.

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third_party/rust/euclid-0.16.0/Cargo.toml поставляемый
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# THIS FILE IS AUTOMATICALLY GENERATED BY CARGO
#
# When uploading crates to the registry Cargo will automatically
# "normalize" Cargo.toml files for maximal compatibility
# with all versions of Cargo and also rewrite `path` dependencies
# to registry (e.g. crates.io) dependencies
#
# If you believe there's an error in this file please file an
# issue against the rust-lang/cargo repository. If you're
# editing this file be aware that the upstream Cargo.toml
# will likely look very different (and much more reasonable)
[package]
name = "euclid"
version = "0.16.0"
authors = ["The Servo Project Developers"]
description = "Geometry primitives"
documentation = "https://docs.rs/euclid/"
keywords = ["matrix", "vector", "linear-algebra", "geometry"]
categories = ["science"]
license = "MIT / Apache-2.0"
repository = "https://github.com/servo/euclid"
[dependencies.log]
version = "0.3.1"
[dependencies.num-traits]
version = "0.1.32"
default-features = false
[dependencies.serde]
version = "1.0"
[dev-dependencies.rand]
version = "0.3.7"
[dev-dependencies.serde_test]
version = "1.0"
[features]
unstable = []

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third_party/rust/euclid-0.16.0/LICENSE-APACHE поставляемый
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Copyright (c) 2012-2013 Mozilla Foundation
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8
third_party/rust/euclid-0.16.0/README.md поставляемый
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# euclid
This is a small library for geometric types with a focus on 2d graphics and
layout.
* [Documentation](https://docs.rs/euclid/)
* [Release notes](https://github.com/servo/euclid/releases)
* [crates.io](https://crates.io/crates/euclid)

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// 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.
/// Trait for testing approximate equality
pub trait ApproxEq<Eps> {
fn approx_epsilon() -> Eps;
fn approx_eq(&self, other: &Self) -> bool;
fn approx_eq_eps(&self, other: &Self, approx_epsilon: &Eps) -> bool;
}
macro_rules! approx_eq {
($ty:ty, $eps:expr) => (
impl ApproxEq<$ty> for $ty {
#[inline]
fn approx_epsilon() -> $ty { $eps }
#[inline]
fn approx_eq(&self, other: &$ty) -> bool {
self.approx_eq_eps(other, &$eps)
}
#[inline]
fn approx_eq_eps(&self, other: &$ty, approx_epsilon: &$ty) -> bool {
(*self - *other).abs() < *approx_epsilon
}
}
)
}
approx_eq!(f32, 1.0e-6);
approx_eq!(f64, 1.0e-6);

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third_party/rust/euclid-0.16.0/src/length.rs поставляемый
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// Copyright 2014 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.
//! A one-dimensional length, tagged with its units.
use scale::TypedScale;
use num::Zero;
use num_traits::{NumCast, Saturating};
use num::One;
use serde::{Deserialize, Deserializer, Serialize, Serializer};
use std::cmp::Ordering;
use std::ops::{Add, Sub, Mul, Div, Neg};
use std::ops::{AddAssign, SubAssign, MulAssign, DivAssign};
use std::marker::PhantomData;
use std::fmt;
/// A one-dimensional distance, with value represented by `T` and unit of measurement `Unit`.
///
/// `T` can be any numeric type, for example a primitive type like `u64` or `f32`.
///
/// `Unit` is not used in the representation of a `Length` value. It is used only at compile time
/// to ensure that a `Length` stored with one unit is converted explicitly before being used in an
/// expression that requires a different unit. It may be a type without values, such as an empty
/// enum.
///
/// You can multiply a `Length` by a `scale::TypedScale` to convert it from one unit to
/// another. See the `TypedScale` docs for an example.
#[repr(C)]
pub struct Length<T, Unit>(pub T, PhantomData<Unit>);
impl<T: Clone, Unit> Clone for Length<T, Unit> {
fn clone(&self) -> Self {
Length(self.0.clone(), PhantomData)
}
}
impl<T: Copy, Unit> Copy for Length<T, Unit> {}
impl<'de, Unit, T> Deserialize<'de> for Length<T, Unit> where T: Deserialize<'de> {
fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where D: Deserializer<'de> {
Ok(Length(try!(Deserialize::deserialize(deserializer)), PhantomData))
}
}
impl<T, Unit> Serialize for Length<T, Unit> where T: Serialize {
fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer {
self.0.serialize(serializer)
}
}
impl<T, Unit> Length<T, Unit> {
pub fn new(x: T) -> Self {
Length(x, PhantomData)
}
}
impl<Unit, T: Clone> Length<T, Unit> {
pub fn get(&self) -> T {
self.0.clone()
}
}
impl<T: fmt::Debug + Clone, U> fmt::Debug for Length<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
self.get().fmt(f)
}
}
impl<T: fmt::Display + Clone, U> fmt::Display for Length<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
self.get().fmt(f)
}
}
// length + length
impl<U, T: Clone + Add<T, Output=T>> Add for Length<T, U> {
type Output = Length<T, U>;
fn add(self, other: Length<T, U>) -> Length<T, U> {
Length::new(self.get() + other.get())
}
}
// length += length
impl<U, T: Clone + AddAssign<T>> AddAssign for Length<T, U> {
fn add_assign(&mut self, other: Length<T, U>) {
self.0 += other.get();
}
}
// length - length
impl<U, T: Clone + Sub<T, Output=T>> Sub<Length<T, U>> for Length<T, U> {
type Output = Length<T, U>;
fn sub(self, other: Length<T, U>) -> <Self as Sub>::Output {
Length::new(self.get() - other.get())
}
}
// length -= length
impl<U, T: Clone + SubAssign<T>> SubAssign for Length<T, U> {
fn sub_assign(&mut self, other: Length<T, U>) {
self.0 -= other.get();
}
}
// Saturating length + length and length - length.
impl<U, T: Clone + Saturating> Saturating for Length<T, U> {
fn saturating_add(self, other: Length<T, U>) -> Length<T, U> {
Length::new(self.get().saturating_add(other.get()))
}
fn saturating_sub(self, other: Length<T, U>) -> Length<T, U> {
Length::new(self.get().saturating_sub(other.get()))
}
}
// length / length
impl<Src, Dst, T: Clone + Div<T, Output=T>> Div<Length<T, Src>> for Length<T, Dst> {
type Output = TypedScale<T, Src, Dst>;
#[inline]
fn div(self, other: Length<T, Src>) -> TypedScale<T, Src, Dst> {
TypedScale::new(self.get() / other.get())
}
}
// length * scalar
impl<T: Copy + Mul<T, Output=T>, U> Mul<T> for Length<T, U> {
type Output = Self;
#[inline]
fn mul(self, scale: T) -> Self {
Length::new(self.get() * scale)
}
}
// length *= scalar
impl<T: Copy + Mul<T, Output=T>, U> MulAssign<T> for Length<T, U> {
#[inline]
fn mul_assign(&mut self, scale: T) {
*self = *self * scale
}
}
// length / scalar
impl<T: Copy + Div<T, Output=T>, U> Div<T> for Length<T, U> {
type Output = Self;
#[inline]
fn div(self, scale: T) -> Self {
Length::new(self.get() / scale)
}
}
// length /= scalar
impl<T: Copy + Div<T, Output=T>, U> DivAssign<T> for Length<T, U> {
#[inline]
fn div_assign(&mut self, scale: T) {
*self = *self / scale
}
}
// length * scaleFactor
impl<Src, Dst, T: Clone + Mul<T, Output=T>> Mul<TypedScale<T, Src, Dst>> for Length<T, Src> {
type Output = Length<T, Dst>;
#[inline]
fn mul(self, scale: TypedScale<T, Src, Dst>) -> Length<T, Dst> {
Length::new(self.get() * scale.get())
}
}
// length / scaleFactor
impl<Src, Dst, T: Clone + Div<T, Output=T>> Div<TypedScale<T, Src, Dst>> for Length<T, Dst> {
type Output = Length<T, Src>;
#[inline]
fn div(self, scale: TypedScale<T, Src, Dst>) -> Length<T, Src> {
Length::new(self.get() / scale.get())
}
}
// -length
impl <U, T:Clone + Neg<Output=T>> Neg for Length<T, U> {
type Output = Length<T, U>;
#[inline]
fn neg(self) -> Length<T, U> {
Length::new(-self.get())
}
}
impl<Unit, T0: NumCast + Clone> Length<T0, Unit> {
/// Cast from one numeric representation to another, preserving the units.
pub fn cast<T1: NumCast + Clone>(&self) -> Option<Length<T1, Unit>> {
NumCast::from(self.get()).map(Length::new)
}
}
impl<Unit, T: Clone + PartialEq> PartialEq for Length<T, Unit> {
fn eq(&self, other: &Self) -> bool { self.get().eq(&other.get()) }
}
impl<Unit, T: Clone + PartialOrd> PartialOrd for Length<T, Unit> {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
self.get().partial_cmp(&other.get())
}
}
impl<Unit, T: Clone + Eq> Eq for Length<T, Unit> {}
impl<Unit, T: Clone + Ord> Ord for Length<T, Unit> {
fn cmp(&self, other: &Self) -> Ordering { self.get().cmp(&other.get()) }
}
impl<Unit, T: Zero> Zero for Length<T, Unit> {
fn zero() -> Self {
Length::new(Zero::zero())
}
}
impl<T, U> Length<T, U>
where T: Copy + One + Add<Output=T> + Sub<Output=T> + Mul<Output=T> {
/// Linearly interpolate between this length and another length.
///
/// `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;
Length::new(one_t * self.get() + t * other.get())
}
}
#[cfg(test)]
mod tests {
use super::Length;
use num::Zero;
use num_traits::Saturating;
use scale::TypedScale;
use std::f32::INFINITY;
extern crate serde_test;
use self::serde_test::Token;
use self::serde_test::assert_tokens;
enum Inch {}
enum Mm {}
enum Cm {}
enum Second {}
#[test]
fn test_clone() {
// A cloned Length is a separate length with the state matching the
// original Length at the point it was cloned.
let mut variable_length: Length<f32, Inch> = Length::new(12.0);
let one_foot = variable_length.clone();
variable_length.0 = 24.0;
assert_eq!(one_foot.get(), 12.0);
assert_eq!(variable_length.get(), 24.0);
}
#[test]
fn test_length_serde() {
let one_cm: Length<f32, Mm> = Length::new(10.0);
assert_tokens(&one_cm, &[Token::F32(10.0)]);
}
#[test]
fn test_get_clones_length_value() {
// Calling get returns a clone of the Length's value.
// To test this, we need something clone-able - hence a vector.
let mut length: Length<Vec<i32>, Inch> = Length::new(vec![1, 2, 3]);
let value = length.get();
length.0.push(4);
assert_eq!(value, vec![1, 2, 3]);
assert_eq!(length.get(), vec![1, 2, 3, 4]);
}
#[test]
fn test_fmt_debug() {
// Debug and display format the value only.
let one_cm: Length<f32, Mm> = Length::new(10.0);
let result = format!("{:?}", one_cm);
assert_eq!(result, "10");
}
#[test]
fn test_fmt_display() {
// Debug and display format the value only.
let one_cm: Length<f32, Mm> = Length::new(10.0);
let result = format!("{}", one_cm);
assert_eq!(result, "10");
}
#[test]
fn test_add() {
let length1: Length<u8, Mm> = Length::new(250);
let length2: Length<u8, Mm> = Length::new(5);
let result = length1 + length2;
assert_eq!(result.get(), 255);
}
#[test]
fn test_addassign() {
let one_cm: Length<f32, Mm> = Length::new(10.0);
let mut measurement: Length<f32, Mm> = Length::new(5.0);
measurement += one_cm;
assert_eq!(measurement.get(), 15.0);
}
#[test]
fn test_sub() {
let length1: Length<u8, Mm> = Length::new(250);
let length2: Length<u8, Mm> = Length::new(5);
let result = length1 - length2;
assert_eq!(result.get(), 245);
}
#[test]
fn test_subassign() {
let one_cm: Length<f32, Mm> = Length::new(10.0);
let mut measurement: Length<f32, Mm> = Length::new(5.0);
measurement -= one_cm;
assert_eq!(measurement.get(), -5.0);
}
#[test]
fn test_saturating_add() {
let length1: Length<u8, Mm> = Length::new(250);
let length2: Length<u8, Mm> = Length::new(6);
let result = length1.saturating_add(length2);
assert_eq!(result.get(), 255);
}
#[test]
fn test_saturating_sub() {
let length1: Length<u8, Mm> = Length::new(5);
let length2: Length<u8, Mm> = Length::new(10);
let result = length1.saturating_sub(length2);
assert_eq!(result.get(), 0);
}
#[test]
fn test_division_by_length() {
// Division results in a TypedScale from denominator units
// to numerator units.
let length: Length<f32, Cm> = Length::new(5.0);
let duration: Length<f32, Second> = Length::new(10.0);
let result = length / duration;
let expected: TypedScale<f32, Second, Cm> = TypedScale::new(0.5);
assert_eq!(result, expected);
}
#[test]
fn test_multiplication() {
let length_mm: Length<f32, Mm> = Length::new(10.0);
let cm_per_mm: TypedScale<f32, Mm, Cm> = TypedScale::new(0.1);
let result = length_mm * cm_per_mm;
let expected: Length<f32, Cm> = Length::new(1.0);
assert_eq!(result, expected);
}
#[test]
fn test_multiplication_with_scalar() {
let length_mm: Length<f32, Mm> = Length::new(10.0);
let result = length_mm * 2.0;
let expected: Length<f32, Mm> = Length::new(20.0);
assert_eq!(result, expected);
}
#[test]
fn test_multiplication_assignment() {
let mut length: Length<f32, Mm> = Length::new(10.0);
length *= 2.0;
let expected: Length<f32, Mm> = Length::new(20.0);
assert_eq!(length, expected);
}
#[test]
fn test_division_by_scalefactor() {
let length: Length<f32, Cm> = Length::new(5.0);
let cm_per_second: TypedScale<f32, Second, Cm> = TypedScale::new(10.0);
let result = length / cm_per_second;
let expected: Length<f32, Second> = Length::new(0.5);
assert_eq!(result, expected);
}
#[test]
fn test_division_by_scalar() {
let length: Length<f32, Cm> = Length::new(5.0);
let result = length / 2.0;
let expected: Length<f32, Cm> = Length::new(2.5);
assert_eq!(result, expected);
}
#[test]
fn test_division_assignment() {
let mut length: Length<f32, Mm> = Length::new(10.0);
length /= 2.0;
let expected: Length<f32, Mm> = Length::new(5.0);
assert_eq!(length, expected);
}
#[test]
fn test_negation() {
let length: Length<f32, Cm> = Length::new(5.0);
let result = -length;
let expected: Length<f32, Cm> = Length::new(-5.0);
assert_eq!(result, expected);
}
#[test]
fn test_cast() {
let length_as_i32: Length<i32, Cm> = Length::new(5);
let result: Length<f32, Cm> = length_as_i32.cast().unwrap();
let length_as_f32: Length<f32, Cm> = Length::new(5.0);
assert_eq!(result, length_as_f32);
}
#[test]
fn test_equality() {
let length_5_point_0: Length<f32, Cm> = Length::new(5.0);
let length_5_point_1: Length<f32, Cm> = Length::new(5.1);
let length_0_point_1: Length<f32, Cm> = Length::new(0.1);
assert!(length_5_point_0 == length_5_point_1 - length_0_point_1);
assert!(length_5_point_0 != length_5_point_1);
}
#[test]
fn test_order() {
let length_5_point_0: Length<f32, Cm> = Length::new(5.0);
let length_5_point_1: Length<f32, Cm> = Length::new(5.1);
let length_0_point_1: Length<f32, Cm> = Length::new(0.1);
assert!(length_5_point_0 < length_5_point_1);
assert!(length_5_point_0 <= length_5_point_1);
assert!(length_5_point_0 <= length_5_point_1 - length_0_point_1);
assert!(length_5_point_1 > length_5_point_0);
assert!(length_5_point_1 >= length_5_point_0);
assert!(length_5_point_0 >= length_5_point_1 - length_0_point_1);
}
#[test]
fn test_zero_add() {
type LengthCm = Length<f32, Cm>;
let length: LengthCm = Length::new(5.0);
let result = length - LengthCm::zero();
assert_eq!(result, length);
}
#[test]
fn test_zero_division() {
type LengthCm = Length<f32, Cm>;
let length: LengthCm = Length::new(5.0);
let length_zero: LengthCm = Length::zero();
let result = length / length_zero;
let expected: TypedScale<f32, Cm, Cm> = TypedScale::new(INFINITY);
assert_eq!(result, expected);
}
}

130
third_party/rust/euclid-0.16.0/src/lib.rs поставляемый
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@ -1,130 +0,0 @@
// 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.
#![cfg_attr(feature = "unstable", feature(asm, repr_simd, test, fn_must_use))]
//! A collection of strongly typed math tools for computer graphics with an inclination
//! towards 2d graphics and layout.
//!
//! All types are generic over the scalar type of their component (`f32`, `i32`, etc.),
//! and tagged with a generic Unit parameter which is useful to prevent mixing
//! values from different spaces. For example it should not be legal to translate
//! a screen-space position by a world-space vector and this can be expressed using
//! the generic Unit parameter.
//!
//! This unit system is not mandatory and all Typed* structures have an alias
//! with the default unit: `UnknownUnit`.
//! for example ```Point2D<T>``` is equivalent to ```TypedPoint2D<T, UnknownUnit>```.
//! Client code typically creates a set of aliases for each type and doesn't need
//! to deal with the specifics of typed units further. For example:
//!
//! ```rust
//! use euclid::*;
//! pub struct ScreenSpace;
//! pub type ScreenPoint = TypedPoint2D<f32, ScreenSpace>;
//! pub type ScreenSize = TypedSize2D<f32, ScreenSpace>;
//! pub struct WorldSpace;
//! pub type WorldPoint = TypedPoint3D<f32, WorldSpace>;
//! pub type ProjectionMatrix = TypedTransform3D<f32, WorldSpace, ScreenSpace>;
//! // etc...
//! ```
//!
//! All euclid types are marked `#[repr(C)]` in order to facilitate exposing them to
//! foreign function interfaces (provided the underlying scalar type is also `repr(C)`).
//!
//! Components are accessed in their scalar form by default for convenience, and most
//! types additionally implement strongly typed accessors which return typed ```Length``` wrappers.
//! For example:
//!
//! ```rust
//! # use euclid::*;
//! # pub struct WorldSpace;
//! # pub type WorldPoint = TypedPoint3D<f32, WorldSpace>;
//! let p = WorldPoint::new(0.0, 1.0, 1.0);
//! // p.x is an f32.
//! println!("p.x = {:?} ", p.x);
//! // p.x is a Length<f32, WorldSpace>.
//! println!("p.x_typed() = {:?} ", p.x_typed());
//! // Length::get returns the scalar value (f32).
//! assert_eq!(p.x, p.x_typed().get());
//! ```
#[cfg_attr(test, macro_use)]
extern crate log;
extern crate serde;
#[cfg(test)]
extern crate rand;
#[cfg(feature = "unstable")]
extern crate test;
extern crate num_traits;
pub use length::Length;
pub use scale::TypedScale;
pub use transform2d::{Transform2D, TypedTransform2D};
pub use transform3d::{Transform3D, TypedTransform3D};
pub use point::{
Point2D, TypedPoint2D, point2,
Point3D, TypedPoint3D, point3,
};
pub use vector::{
Vector2D, TypedVector2D, vec2,
Vector3D, TypedVector3D, vec3,
};
pub use rect::{Rect, TypedRect, rect};
pub use rotation::{TypedRotation2D, Rotation2D, TypedRotation3D, Rotation3D, Angle};
pub use side_offsets::{SideOffsets2D, TypedSideOffsets2D};
#[cfg(feature = "unstable")] pub use side_offsets::SideOffsets2DSimdI32;
pub use size::{Size2D, TypedSize2D, size2};
pub use trig::Trig;
pub mod approxeq;
pub mod num;
mod length;
#[macro_use]
mod macros;
mod transform2d;
mod transform3d;
mod point;
mod rect;
mod rotation;
mod scale;
mod side_offsets;
mod size;
mod trig;
mod vector;
/// The default unit.
#[derive(Clone, Copy)]
pub struct UnknownUnit;
/// Temporary alias to facilitate the transition to the new naming scheme
#[deprecated]
pub type Matrix2D<T> = Transform2D<T>;
/// Temporary alias to facilitate the transition to the new naming scheme
#[deprecated]
pub type TypedMatrix2D<T, Src, Dst> = TypedTransform2D<T, Src, Dst>;
/// Temporary alias to facilitate the transition to the new naming scheme
#[deprecated]
pub type Matrix4D<T> = Transform3D<T>;
/// Temporary alias to facilitate the transition to the new naming scheme
#[deprecated]
pub type TypedMatrix4D<T, Src, Dst> = TypedTransform3D<T, Src, Dst>;
/// Temporary alias to facilitate the transition to the new naming scheme
#[deprecated]
pub type ScaleFactor<T, Src, Dst> = TypedScale<T, Src, Dst>;
/// Temporary alias to facilitate the transition to the new naming scheme
#[deprecated]
pub use Angle as Radians;

79
third_party/rust/euclid-0.16.0/src/macros.rs поставляемый
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@ -1,79 +0,0 @@
// 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.
macro_rules! define_matrix {
(
$(#[$attr:meta])*
pub struct $name:ident<T, $($phantom:ident),+> {
$(pub $field:ident: T,)+
}
) => (
#[repr(C)]
$(#[$attr])*
pub struct $name<T, $($phantom),+> {
$(pub $field: T,)+
_unit: PhantomData<($($phantom),+)>
}
impl<T: Clone, $($phantom),+> Clone for $name<T, $($phantom),+> {
fn clone(&self) -> Self {
$name {
$($field: self.$field.clone(),)+
_unit: PhantomData,
}
}
}
impl<T: Copy, $($phantom),+> Copy for $name<T, $($phantom),+> {}
impl<'de, T, $($phantom),+> ::serde::Deserialize<'de> for $name<T, $($phantom),+>
where T: ::serde::Deserialize<'de>
{
fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where D: ::serde::Deserializer<'de>
{
let ($($field,)+) =
try!(::serde::Deserialize::deserialize(deserializer));
Ok($name {
$($field: $field,)+
_unit: PhantomData,
})
}
}
impl<T, $($phantom),+> ::serde::Serialize for $name<T, $($phantom),+>
where T: ::serde::Serialize
{
fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
where S: ::serde::Serializer
{
($(&self.$field,)+).serialize(serializer)
}
}
impl<T, $($phantom),+> ::std::cmp::Eq for $name<T, $($phantom),+>
where T: ::std::cmp::Eq {}
impl<T, $($phantom),+> ::std::cmp::PartialEq for $name<T, $($phantom),+>
where T: ::std::cmp::PartialEq
{
fn eq(&self, other: &Self) -> bool {
true $(&& self.$field == other.$field)+
}
}
impl<T, $($phantom),+> ::std::hash::Hash for $name<T, $($phantom),+>
where T: ::std::hash::Hash
{
fn hash<H: ::std::hash::Hasher>(&self, h: &mut H) {
$(self.$field.hash(h);)+
}
}
)
}

77
third_party/rust/euclid-0.16.0/src/num.rs поставляемый
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@ -1,77 +0,0 @@
// Copyright 2014 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.
//! A one-dimensional length, tagged with its units.
use num_traits;
pub trait Zero {
fn zero() -> Self;
}
impl<T: num_traits::Zero> Zero for T {
fn zero() -> T { num_traits::Zero::zero() }
}
pub trait One {
fn one() -> Self;
}
impl<T: num_traits::One> One for T {
fn one() -> T { num_traits::One::one() }
}
pub trait Round : Copy { fn round(self) -> Self; }
pub trait Floor : Copy { fn floor(self) -> Self; }
pub trait Ceil : Copy { fn ceil(self) -> Self; }
macro_rules! num_int {
($ty:ty) => (
impl Round for $ty {
#[inline]
fn round(self) -> $ty { self }
}
impl Floor for $ty {
#[inline]
fn floor(self) -> $ty { self }
}
impl Ceil for $ty {
#[inline]
fn ceil(self) -> $ty { self }
}
)
}
macro_rules! num_float {
($ty:ty) => (
impl Round for $ty {
#[inline]
fn round(self) -> $ty { self.round() }
}
impl Floor for $ty {
#[inline]
fn floor(self) -> $ty { self.floor() }
}
impl Ceil for $ty {
#[inline]
fn ceil(self) -> $ty { self.ceil() }
}
)
}
num_int!(i16);
num_int!(u16);
num_int!(i32);
num_int!(u32);
num_int!(i64);
num_int!(u64);
num_int!(isize);
num_int!(usize);
num_float!(f32);
num_float!(f64);

846
third_party/rust/euclid-0.16.0/src/point.rs поставляемый
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@ -1,846 +0,0 @@
// 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::TypedScale;
use size::TypedSize2D;
use num::*;
use num_traits::{Float, NumCast};
use vector::{TypedVector2D, TypedVector3D, vec2, vec3};
use std::fmt;
use std::ops::{Add, Mul, Sub, Div, AddAssign, SubAssign, MulAssign, DivAssign};
use std::marker::PhantomData;
define_matrix! {
/// A 2d Point tagged with a unit.
pub struct TypedPoint2D<T, U> {
pub x: T,
pub y: T,
}
}
/// Default 2d point type with no unit.
///
/// `Point2D` provides the same methods as `TypedPoint2D`.
pub type Point2D<T> = TypedPoint2D<T, UnknownUnit>;
impl<T: Copy + Zero, U> TypedPoint2D<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) -> TypedPoint3D<T, U> {
point3(self.x, self.y, Zero::zero())
}
}
impl<T: fmt::Debug, U> fmt::Debug for TypedPoint2D<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 TypedPoint2D<T, U> {
fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
write!(formatter, "({},{})", self.x, self.y)
}
}
impl<T: Copy, U> TypedPoint2D<T, U> {
/// Constructor taking scalar values directly.
#[inline]
pub fn new(x: T, y: T) -> Self {
TypedPoint2D { x: x, y: y, _unit: PhantomData }
}
/// Constructor taking properly typed 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) -> TypedPoint3D<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) -> TypedVector2D<T, U> {
vec2(self.x, self.y)
}
/// Swap x and y.
#[inline]
pub fn yx(&self) -> Self {
point2(self.y, self.x)
}
/// Returns self.x as a Length carrying the unit.
#[inline]
pub fn x_typed(&self) -> Length<T, U> { Length::new(self.x) }
/// Returns self.y as a Length carrying the unit.
#[inline]
pub fn y_typed(&self) -> Length<T, U> { Length::new(self.y) }
/// Drop the units, preserving only the numeric value.
#[inline]
pub fn to_untyped(&self) -> Point2D<T> {
point2(self.x, self.y)
}
/// Tag a unitless value with units.
#[inline]
pub fn from_untyped(p: &Point2D<T>) -> Self {
point2(p.x, p.y)
}
#[inline]
pub fn to_array(&self) -> [T; 2] {
[self.x, self.y]
}
}
impl<T: Copy + Add<T, Output=T>, U> TypedPoint2D<T, U> {
#[inline]
pub fn add_size(&self, other: &TypedSize2D<T, U>) -> Self {
point2(self.x + other.width, self.y + other.height)
}
}
impl<T: Copy + Add<T, Output=T>, U> Add<TypedSize2D<T, U>> for TypedPoint2D<T, U> {
type Output = Self;
#[inline]
fn add(self, other: TypedSize2D<T, U>) -> Self {
point2(self.x + other.width, self.y + other.height)
}
}
impl<T: Copy + Add<T, Output=T>, U> AddAssign<TypedVector2D<T, U>> for TypedPoint2D<T, U> {
#[inline]
fn add_assign(&mut self, other: TypedVector2D<T, U>) {
*self = *self + other
}
}
impl<T: Copy + Sub<T, Output=T>, U> SubAssign<TypedVector2D<T, U>> for TypedPoint2D<T, U> {
#[inline]
fn sub_assign(&mut self, other: TypedVector2D<T, U>) {
*self = *self - other
}
}
impl<T: Copy + Add<T, Output=T>, U> Add<TypedVector2D<T, U>> for TypedPoint2D<T, U> {
type Output = Self;
#[inline]
fn add(self, other: TypedVector2D<T, U>) -> Self {
point2(self.x + other.x, self.y + other.y)
}
}
impl<T: Copy + Sub<T, Output=T>, U> Sub for TypedPoint2D<T, U> {
type Output = TypedVector2D<T, U>;
#[inline]
fn sub(self, other: Self) -> TypedVector2D<T, U> {
vec2(self.x - other.x, self.y - other.y)
}
}
impl<T: Copy + Sub<T, Output=T>, U> Sub<TypedVector2D<T, U>> for TypedPoint2D<T, U> {
type Output = Self;
#[inline]
fn sub(self, other: TypedVector2D<T, U>) -> Self {
point2(self.x - other.x, self.y - other.y)
}
}
impl<T: Float, U> TypedPoint2D<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))
}
}
impl<T: Copy + Mul<T, Output=T>, U> Mul<T> for TypedPoint2D<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 TypedPoint2D<T, U> {
#[inline]
fn mul_assign(&mut self, scale: T) {
*self = *self * scale
}
}
impl<T: Copy + Div<T, Output=T>, U> Div<T> for TypedPoint2D<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 TypedPoint2D<T, U> {
#[inline]
fn div_assign(&mut self, scale: T) {
*self = *self / scale
}
}
impl<T: Copy + Mul<T, Output=T>, U1, U2> Mul<TypedScale<T, U1, U2>> for TypedPoint2D<T, U1> {
type Output = TypedPoint2D<T, U2>;
#[inline]
fn mul(self, scale: TypedScale<T, U1, U2>) -> TypedPoint2D<T, U2> {
point2(self.x * scale.get(), self.y * scale.get())
}
}
impl<T: Copy + Div<T, Output=T>, U1, U2> Div<TypedScale<T, U1, U2>> for TypedPoint2D<T, U2> {
type Output = TypedPoint2D<T, U1>;
#[inline]
fn div(self, scale: TypedScale<T, U1, U2>) -> TypedPoint2D<T, U1> {
point2(self.x / scale.get(), self.y / scale.get())
}
}
impl<T: Round, U> TypedPoint2D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn round(&self) -> Self {
point2(self.x.round(), self.y.round())
}
}
impl<T: Ceil, U> TypedPoint2D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn ceil(&self) -> Self {
point2(self.x.ceil(), self.y.ceil())
}
}
impl<T: Floor, U> TypedPoint2D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn floor(&self) -> Self {
point2(self.x.floor(), self.y.floor())
}
}
impl<T: NumCast + Copy, U> TypedPoint2D<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) -> Option<TypedPoint2D<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) -> TypedPoint2D<f32, U> {
self.cast().unwrap()
}
/// Cast into an `f64` point.
#[inline]
pub fn to_f64(&self) -> TypedPoint2D<f64, U> {
self.cast().unwrap()
}
/// 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) -> TypedPoint2D<usize, U> {
self.cast().unwrap()
}
/// 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) -> TypedPoint2D<i32, U> {
self.cast().unwrap()
}
/// 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) -> TypedPoint2D<i64, U> {
self.cast().unwrap()
}
}
impl<T, U> TypedPoint2D<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<TypedPoint2D<T, U>> for TypedPoint2D<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 TypedPoint2D<T, U> {
fn into(self) -> [T; 2] {
self.to_array()
}
}
impl<T: Copy, U> From<[T; 2]> for TypedPoint2D<T, U> {
fn from(array: [T; 2]) -> Self {
point2(array[0], array[1])
}
}
define_matrix! {
/// A 3d Point tagged with a unit.
pub struct TypedPoint3D<T, U> {
pub x: T,
pub y: T,
pub z: T,
}
}
/// Default 3d point type with no unit.
///
/// `Point3D` provides the same methods as `TypedPoint3D`.
pub type Point3D<T> = TypedPoint3D<T, UnknownUnit>;
impl<T: Copy + Zero, U> TypedPoint3D<T, U> {
/// Constructor, setting all copmonents to zero.
#[inline]
pub fn origin() -> Self {
point3(Zero::zero(), Zero::zero(), Zero::zero())
}
}
impl<T: Copy + One, U> TypedPoint3D<T, U> {
#[inline]
pub fn to_array_4d(&self) -> [T; 4] {
[self.x, self.y, self.z, One::one()]
}
}
impl<T, U> TypedPoint3D<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 TypedPoint3D<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 TypedPoint3D<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "({},{},{})", self.x, self.y, self.z)
}
}
impl<T: Copy, U> TypedPoint3D<T, U> {
/// Constructor taking scalar values directly.
#[inline]
pub fn new(x: T, y: T, z: T) -> Self {
TypedPoint3D { x: x, y: y, z: z, _unit: PhantomData }
}
/// Constructor taking properly typed 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 substracting the origin to this point.
#[inline]
pub fn to_vector(&self) -> TypedVector3D<T, U> {
vec3(self.x, self.y, self.z)
}
/// Returns a 2d point using this point's x and y coordinates
#[inline]
pub fn xy(&self) -> TypedPoint2D<T, U> {
point2(self.x, self.y)
}
/// Returns a 2d point using this point's x and z coordinates
#[inline]
pub fn xz(&self) -> TypedPoint2D<T, U> {
point2(self.x, self.z)
}
/// Returns a 2d point using this point's x and z coordinates
#[inline]
pub fn yz(&self) -> TypedPoint2D<T, U> {
point2(self.y, self.z)
}
/// Returns self.x as a Length carrying the unit.
#[inline]
pub fn x_typed(&self) -> Length<T, U> { Length::new(self.x) }
/// Returns self.y as a Length carrying the unit.
#[inline]
pub fn y_typed(&self) -> Length<T, U> { Length::new(self.y) }
/// Returns self.z as a Length carrying the unit.
#[inline]
pub fn z_typed(&self) -> Length<T, U> { Length::new(self.z) }
#[inline]
pub fn to_array(&self) -> [T; 3] { [self.x, self.y, self.z] }
/// Drop the units, preserving only the numeric value.
#[inline]
pub fn to_untyped(&self) -> Point3D<T> {
point3(self.x, self.y, self.z)
}
/// Tag a unitless value with units.
#[inline]
pub fn from_untyped(p: &Point3D<T>) -> Self {
point3(p.x, p.y, p.z)
}
/// Convert into a 2d point.
#[inline]
pub fn to_2d(&self) -> TypedPoint2D<T, U> {
self.xy()
}
}
impl<T: Copy + Add<T, Output=T>, U> AddAssign<TypedVector3D<T, U>> for TypedPoint3D<T, U> {
#[inline]
fn add_assign(&mut self, other: TypedVector3D<T, U>) {
*self = *self + other
}
}
impl<T: Copy + Sub<T, Output=T>, U> SubAssign<TypedVector3D<T, U>> for TypedPoint3D<T, U> {
#[inline]
fn sub_assign(&mut self, other: TypedVector3D<T, U>) {
*self = *self - other
}
}
impl<T: Copy + Add<T, Output=T>, U> Add<TypedVector3D<T, U>> for TypedPoint3D<T, U> {
type Output = Self;
#[inline]
fn add(self, other: TypedVector3D<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 TypedPoint3D<T, U> {
type Output = TypedVector3D<T, U>;
#[inline]
fn sub(self, other: Self) -> TypedVector3D<T, U> {
vec3(self.x - other.x, self.y - other.y, self.z - other.z)
}
}
impl<T: Copy + Sub<T, Output=T>, U> Sub<TypedVector3D<T, U>> for TypedPoint3D<T, U> {
type Output = Self;
#[inline]
fn sub(self, other: TypedVector3D<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 TypedPoint3D<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 + Div<T, Output=T>, U> Div<T> for TypedPoint3D<T, U> {
type Output = Self;
#[inline]
fn div(self, scale: T) -> Self {
point3(self.x / scale, self.y / scale, self.z / scale)
}
}
impl<T: Float, U> TypedPoint3D<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))
}
}
impl<T: Round, U> TypedPoint3D<T, U> {
/// Rounds each component to the nearest integer value.
///
/// This behavior is preserved for negative values (unlike the basic cast).
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn round(&self) -> Self {
point3(self.x.round(), self.y.round(), self.z.round())
}
}
impl<T: Ceil, U> TypedPoint3D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn ceil(&self) -> Self {
point3(self.x.ceil(), self.y.ceil(), self.z.ceil())
}
}
impl<T: Floor, U> TypedPoint3D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn floor(&self) -> Self {
point3(self.x.floor(), self.y.floor(), self.z.floor())
}
}
impl<T: NumCast + Copy, U> TypedPoint3D<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) -> Option<TypedPoint3D<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) -> TypedPoint3D<f32, U> {
self.cast().unwrap()
}
/// Cast into an `f64` point.
#[inline]
pub fn to_f64(&self) -> TypedPoint3D<f64, U> {
self.cast().unwrap()
}
/// 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) -> TypedPoint3D<usize, U> {
self.cast().unwrap()
}
/// 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) -> TypedPoint3D<i32, U> {
self.cast().unwrap()
}
/// 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) -> TypedPoint3D<i64, U> {
self.cast().unwrap()
}
}
impl<T: Copy+ApproxEq<T>, U> ApproxEq<TypedPoint3D<T, U>> for TypedPoint3D<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 TypedPoint3D<T, U> {
fn into(self) -> [T; 3] {
self.to_array()
}
}
impl<T: Copy, U> From<[T; 3]> for TypedPoint3D<T, U> {
fn from(array: [T; 3]) -> Self {
point3(array[0], array[1], array[2])
}
}
pub fn point2<T: Copy, U>(x: T, y: T) -> TypedPoint2D<T, U> {
TypedPoint2D::new(x, y)
}
pub fn point3<T: Copy, U>(x: T, y: T, z: T) -> TypedPoint3D<T, U> {
TypedPoint3D::new(x, y, z)
}
#[cfg(test)]
mod point2d {
use super::Point2D;
#[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(test)]
mod typedpoint2d {
use super::{TypedPoint2D, Point2D, point2};
use scale::TypedScale;
use vector::vec2;
pub enum Mm {}
pub enum Cm {}
pub type Point2DMm<T> = TypedPoint2D<T, Mm>;
pub type Point2DCm<T> = TypedPoint2D<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_scalar_mul() {
let p1 = Point2DMm::new(1.0, 2.0);
let cm_per_mm: TypedScale<f32, Mm, Cm> = TypedScale::new(0.1);
let result = p1 * cm_per_mm;
assert_eq!(result, Point2DCm::new(0.1, 0.2));
}
#[test]
pub fn test_conv_vector() {
use {Point2D, point2};
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 super::{Point3D, point2, point3};
#[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: 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));
}
}

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third_party/rust/euclid-0.16.0/src/rect.rs поставляемый
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@ -1,699 +0,0 @@
// 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 length::Length;
use scale::TypedScale;
use num::*;
use point::TypedPoint2D;
use vector::TypedVector2D;
use size::TypedSize2D;
use num_traits::NumCast;
use serde::{Deserialize, Deserializer, Serialize, Serializer};
use std::cmp::PartialOrd;
use std::fmt;
use std::hash::{Hash, Hasher};
use std::ops::{Add, Sub, Mul, Div};
/// A 2d Rectangle optionally tagged with a unit.
#[repr(C)]
pub struct TypedRect<T, U = UnknownUnit> {
pub origin: TypedPoint2D<T, U>,
pub size: TypedSize2D<T, U>,
}
/// The default rectangle type with no unit.
pub type Rect<T> = TypedRect<T, UnknownUnit>;
impl<'de, T: Copy + Deserialize<'de>, U> Deserialize<'de> for TypedRect<T, U> {
fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where D: Deserializer<'de>
{
let (origin, size) = try!(Deserialize::deserialize(deserializer));
Ok(TypedRect::new(origin, size))
}
}
impl<T: Serialize, U> Serialize for TypedRect<T, U> {
fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
where S: Serializer
{
(&self.origin, &self.size).serialize(serializer)
}
}
impl<T: Hash, U> Hash for TypedRect<T, U>
{
fn hash<H: Hasher>(&self, h: &mut H) {
self.origin.hash(h);
self.size.hash(h);
}
}
impl<T: Copy, U> Copy for TypedRect<T, U> {}
impl<T: Copy, U> Clone for TypedRect<T, U> {
fn clone(&self) -> Self { *self }
}
impl<T: PartialEq, U> PartialEq<TypedRect<T, U>> for TypedRect<T, U> {
fn eq(&self, other: &Self) -> bool {
self.origin.eq(&other.origin) && self.size.eq(&other.size)
}
}
impl<T: Eq, U> Eq for TypedRect<T, U> {}
impl<T: fmt::Debug, U> fmt::Debug for TypedRect<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "TypedRect({:?} at {:?})", self.size, self.origin)
}
}
impl<T: fmt::Display, U> fmt::Display for TypedRect<T, U> {
fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
write!(formatter, "Rect({} at {})", self.size, self.origin)
}
}
impl<T, U> TypedRect<T, U> {
/// Constructor.
pub fn new(origin: TypedPoint2D<T, U>, size: TypedSize2D<T, U>) -> Self {
TypedRect {
origin: origin,
size: size,
}
}
}
impl<T, U> TypedRect<T, U>
where T: Copy + Clone + Zero + PartialOrd + PartialEq + Add<T, Output=T> + Sub<T, Output=T> {
#[inline]
pub fn intersects(&self, other: &Self) -> bool {
self.origin.x < other.origin.x + other.size.width &&
other.origin.x < self.origin.x + self.size.width &&
self.origin.y < other.origin.y + other.size.height &&
other.origin.y < self.origin.y + self.size.height
}
#[inline]
pub fn max_x(&self) -> T {
self.origin.x + self.size.width
}
#[inline]
pub fn min_x(&self) -> T {
self.origin.x
}
#[inline]
pub fn max_y(&self) -> T {
self.origin.y + self.size.height
}
#[inline]
pub fn min_y(&self) -> T {
self.origin.y
}
#[inline]
pub fn max_x_typed(&self) -> Length<T, U> {
Length::new(self.max_x())
}
#[inline]
pub fn min_x_typed(&self) -> Length<T, U> {
Length::new(self.min_x())
}
#[inline]
pub fn max_y_typed(&self) -> Length<T, U> {
Length::new(self.max_y())
}
#[inline]
pub fn min_y_typed(&self) -> Length<T, U> {
Length::new(self.min_y())
}
#[inline]
pub fn intersection(&self, other: &Self) -> Option<Self> {
if !self.intersects(other) {
return None;
}
let upper_left = TypedPoint2D::new(max(self.min_x(), other.min_x()),
max(self.min_y(), other.min_y()));
let lower_right_x = min(self.max_x(), other.max_x());
let lower_right_y = min(self.max_y(), other.max_y());
Some(TypedRect::new(upper_left, TypedSize2D::new(lower_right_x - upper_left.x,
lower_right_y - upper_left.y)))
}
/// Returns the same rectangle, translated by a vector.
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn translate(&self, by: &TypedVector2D<T, U>) -> Self {
Self::new(self.origin + *by, self.size)
}
/// Returns true if this rectangle contains the point. Points are considered
/// in the rectangle if they are on the left or top edge, but outside if they
/// are on the right or bottom edge.
#[inline]
pub fn contains(&self, other: &TypedPoint2D<T, U>) -> bool {
self.origin.x <= other.x && other.x < self.origin.x + self.size.width &&
self.origin.y <= other.y && other.y < self.origin.y + self.size.height
}
/// Returns true if this rectangle contains the interior of rect. Always
/// returns true if rect is empty, and always returns false if rect is
/// nonempty but this rectangle is empty.
#[inline]
pub fn contains_rect(&self, rect: &Self) -> bool {
rect.is_empty() ||
(self.min_x() <= rect.min_x() && rect.max_x() <= self.max_x() &&
self.min_y() <= rect.min_y() && rect.max_y() <= self.max_y())
}
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn inflate(&self, width: T, height: T) -> Self {
TypedRect::new(
TypedPoint2D::new(self.origin.x - width, self.origin.y - height),
TypedSize2D::new(self.size.width + width + width, self.size.height + height + height),
)
}
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn inflate_typed(&self, width: Length<T, U>, height: Length<T, U>) -> Self {
self.inflate(width.get(), height.get())
}
#[inline]
pub fn top_right(&self) -> TypedPoint2D<T, U> {
TypedPoint2D::new(self.max_x(), self.origin.y)
}
#[inline]
pub fn bottom_left(&self) -> TypedPoint2D<T, U> {
TypedPoint2D::new(self.origin.x, self.max_y())
}
#[inline]
pub fn bottom_right(&self) -> TypedPoint2D<T, U> {
TypedPoint2D::new(self.max_x(), self.max_y())
}
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn translate_by_size(&self, size: &TypedSize2D<T, U>) -> Self {
self.translate(&size.to_vector())
}
/// Returns the smallest rectangle containing the four points.
pub fn from_points(points: &[TypedPoint2D<T, U>]) -> Self {
if points.len() == 0 {
return TypedRect::zero();
}
let (mut min_x, mut min_y) = (points[0].x, points[0].y);
let (mut max_x, mut max_y) = (min_x, min_y);
for point in &points[1..] {
if point.x < min_x {
min_x = point.x
}
if point.x > max_x {
max_x = point.x
}
if point.y < min_y {
min_y = point.y
}
if point.y > max_y {
max_y = point.y
}
}
TypedRect::new(TypedPoint2D::new(min_x, min_y),
TypedSize2D::new(max_x - min_x, max_y - min_y))
}
}
impl<T, U> TypedRect<T, U>
where T: Copy + One + Add<Output=T> + Sub<Output=T> + Mul<Output=T> {
/// Linearly interpolate between this rectangle and another rectange.
///
/// `t` is expected to be between zero and one.
#[inline]
pub fn lerp(&self, other: Self, t: T) -> Self {
Self::new(
self.origin.lerp(other.origin, t),
self.size.lerp(other.size, t),
)
}
}
impl<T, U> TypedRect<T, U>
where T: Copy + Clone + PartialOrd + Add<T, Output=T> + Sub<T, Output=T> + Zero {
#[inline]
pub fn union(&self, other: &Self) -> Self {
if self.size == Zero::zero() {
return *other;
}
if other.size == Zero::zero() {
return *self;
}
let upper_left = TypedPoint2D::new(min(self.min_x(), other.min_x()),
min(self.min_y(), other.min_y()));
let lower_right_x = max(self.max_x(), other.max_x());
let lower_right_y = max(self.max_y(), other.max_y());
TypedRect::new(
upper_left,
TypedSize2D::new(lower_right_x - upper_left.x, lower_right_y - upper_left.y)
)
}
}
impl<T, U> TypedRect<T, U> {
#[inline]
pub fn scale<S: Copy>(&self, x: S, y: S) -> Self
where T: Copy + Clone + Mul<S, Output=T>
{
TypedRect::new(
TypedPoint2D::new(self.origin.x * x, self.origin.y * y),
TypedSize2D::new(self.size.width * x, self.size.height * y)
)
}
}
impl<T: Copy + PartialEq + Zero, U> TypedRect<T, U> {
/// Constructor, setting all sides to zero.
pub fn zero() -> Self {
TypedRect::new(
TypedPoint2D::origin(),
TypedSize2D::zero(),
)
}
/// Returns true if the size is zero, regardless of the origin's value.
pub fn is_empty(&self) -> bool {
self.size.width == Zero::zero() || self.size.height == Zero::zero()
}
}
pub fn min<T: Clone + PartialOrd>(x: T, y: T) -> T {
if x <= y { x } else { y }
}
pub fn max<T: Clone + PartialOrd>(x: T, y: T) -> T {
if x >= y { x } else { y }
}
impl<T: Copy + Mul<T, Output=T>, U> Mul<T> for TypedRect<T, U> {
type Output = Self;
#[inline]
fn mul(self, scale: T) -> Self {
TypedRect::new(self.origin * scale, self.size * scale)
}
}
impl<T: Copy + Div<T, Output=T>, U> Div<T> for TypedRect<T, U> {
type Output = Self;
#[inline]
fn div(self, scale: T) -> Self {
TypedRect::new(self.origin / scale, self.size / scale)
}
}
impl<T: Copy + Mul<T, Output=T>, U1, U2> Mul<TypedScale<T, U1, U2>> for TypedRect<T, U1> {
type Output = TypedRect<T, U2>;
#[inline]
fn mul(self, scale: TypedScale<T, U1, U2>) -> TypedRect<T, U2> {
TypedRect::new(self.origin * scale, self.size * scale)
}
}
impl<T: Copy + Div<T, Output=T>, U1, U2> Div<TypedScale<T, U1, U2>> for TypedRect<T, U2> {
type Output = TypedRect<T, U1>;
#[inline]
fn div(self, scale: TypedScale<T, U1, U2>) -> TypedRect<T, U1> {
TypedRect::new(self.origin / scale, self.size / scale)
}
}
impl<T: Copy, Unit> TypedRect<T, Unit> {
/// Drop the units, preserving only the numeric value.
pub fn to_untyped(&self) -> Rect<T> {
TypedRect::new(self.origin.to_untyped(), self.size.to_untyped())
}
/// Tag a unitless value with units.
pub fn from_untyped(r: &Rect<T>) -> TypedRect<T, Unit> {
TypedRect::new(TypedPoint2D::from_untyped(&r.origin), TypedSize2D::from_untyped(&r.size))
}
}
impl<T0: NumCast + Copy, Unit> TypedRect<T0, Unit> {
/// 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(), round_in or round_out() before casting.
pub fn cast<T1: NumCast + Copy>(&self) -> Option<TypedRect<T1, Unit>> {
match (self.origin.cast(), self.size.cast()) {
(Some(origin), Some(size)) => Some(TypedRect::new(origin, size)),
_ => None
}
}
}
impl<T: Floor + Ceil + Round + Add<T, Output=T> + Sub<T, Output=T>, U> TypedRect<T, U> {
/// Return a rectangle with edges rounded to integer coordinates, such that
/// the returned rectangle has the same set of pixel centers as the original
/// one.
/// Edges at offset 0.5 round up.
/// Suitable for most places where integral device coordinates
/// are needed, but note that any translation should be applied first to
/// avoid pixel rounding errors.
/// Note that this is *not* rounding to nearest integer if the values are negative.
/// They are always rounding as floor(n + 0.5).
#[cfg_attr(feature = "unstable", must_use)]
pub fn round(&self) -> Self {
let origin = self.origin.round();
let size = self.origin.add_size(&self.size).round() - origin;
TypedRect::new(origin, TypedSize2D::new(size.x, size.y))
}
/// Return a rectangle with edges rounded to integer coordinates, such that
/// the original rectangle contains the resulting rectangle.
#[cfg_attr(feature = "unstable", must_use)]
pub fn round_in(&self) -> Self {
let origin = self.origin.ceil();
let size = self.origin.add_size(&self.size).floor() - origin;
TypedRect::new(origin, TypedSize2D::new(size.x, size.y))
}
/// Return a rectangle with edges rounded to integer coordinates, such that
/// the original rectangle is contained in the resulting rectangle.
#[cfg_attr(feature = "unstable", must_use)]
pub fn round_out(&self) -> Self {
let origin = self.origin.floor();
let size = self.origin.add_size(&self.size).ceil() - origin;
TypedRect::new(origin, TypedSize2D::new(size.x, size.y))
}
}
// Convenience functions for common casts
impl<T: NumCast + Copy, Unit> TypedRect<T, Unit> {
/// Cast into an `f32` rectangle.
pub fn to_f32(&self) -> TypedRect<f32, Unit> {
self.cast().unwrap()
}
/// Cast into an `f64` rectangle.
pub fn to_f64(&self) -> TypedRect<f64, Unit> {
self.cast().unwrap()
}
/// Cast into an `usize` rectangle, truncating decimals if any.
///
/// When casting from floating point rectangles, it is worth considering whether
/// to `round()`, `round_in()` or `round_out()` before the cast in order to
/// obtain the desired conversion behavior.
pub fn to_usize(&self) -> TypedRect<usize, Unit> {
self.cast().unwrap()
}
/// Cast into an `i32` rectangle, truncating decimals if any.
///
/// When casting from floating point rectangles, it is worth considering whether
/// to `round()`, `round_in()` or `round_out()` before the cast in order to
/// obtain the desired conversion behavior.
pub fn to_i32(&self) -> TypedRect<i32, Unit> {
self.cast().unwrap()
}
/// Cast into an `i64` rectangle, truncating decimals if any.
///
/// When casting from floating point rectangles, it is worth considering whether
/// to `round()`, `round_in()` or `round_out()` before the cast in order to
/// obtain the desired conversion behavior.
pub fn to_i64(&self) -> TypedRect<i64, Unit> {
self.cast().unwrap()
}
}
/// Shorthand for `TypedRect::new(TypedPoint2D::new(x, y), TypedSize2D::new(w, h))`.
pub fn rect<T: Copy, U>(x: T, y: T, w: T, h: T) -> TypedRect<T, U> {
TypedRect::new(TypedPoint2D::new(x, y), TypedSize2D::new(w, h))
}
#[cfg(test)]
mod tests {
use point::Point2D;
use vector::vec2;
use size::Size2D;
use super::*;
#[test]
fn test_min_max() {
assert!(min(0u32, 1u32) == 0u32);
assert!(min(-1.0f32, 0.0f32) == -1.0f32);
assert!(max(0u32, 1u32) == 1u32);
assert!(max(-1.0f32, 0.0f32) == 0.0f32);
}
#[test]
fn test_translate() {
let p = Rect::new(Point2D::new(0u32, 0u32), Size2D::new(50u32, 40u32));
let pp = p.translate(&vec2(10,15));
assert!(pp.size.width == 50);
assert!(pp.size.height == 40);
assert!(pp.origin.x == 10);
assert!(pp.origin.y == 15);
let r = Rect::new(Point2D::new(-10, -5), Size2D::new(50, 40));
let rr = r.translate(&vec2(0,-10));
assert!(rr.size.width == 50);
assert!(rr.size.height == 40);
assert!(rr.origin.x == -10);
assert!(rr.origin.y == -15);
}
#[test]
fn test_translate_by_size() {
let p = Rect::new(Point2D::new(0u32, 0u32), Size2D::new(50u32, 40u32));
let pp = p.translate_by_size(&Size2D::new(10,15));
assert!(pp.size.width == 50);
assert!(pp.size.height == 40);
assert!(pp.origin.x == 10);
assert!(pp.origin.y == 15);
let r = Rect::new(Point2D::new(-10, -5), Size2D::new(50, 40));
let rr = r.translate_by_size(&Size2D::new(0,-10));
assert!(rr.size.width == 50);
assert!(rr.size.height == 40);
assert!(rr.origin.x == -10);
assert!(rr.origin.y == -15);
}
#[test]
fn test_union() {
let p = Rect::new(Point2D::new(0, 0), Size2D::new(50, 40));
let q = Rect::new(Point2D::new(20,20), Size2D::new(5, 5));
let r = Rect::new(Point2D::new(-15, -30), Size2D::new(200, 15));
let s = Rect::new(Point2D::new(20, -15), Size2D::new(250, 200));
let pq = p.union(&q);
assert!(pq.origin == Point2D::new(0, 0));
assert!(pq.size == Size2D::new(50, 40));
let pr = p.union(&r);
assert!(pr.origin == Point2D::new(-15, -30));
assert!(pr.size == Size2D::new(200, 70));
let ps = p.union(&s);
assert!(ps.origin == Point2D::new(0, -15));
assert!(ps.size == Size2D::new(270, 200));
}
#[test]
fn test_intersection() {
let p = Rect::new(Point2D::new(0, 0), Size2D::new(10, 20));
let q = Rect::new(Point2D::new(5, 15), Size2D::new(10, 10));
let r = Rect::new(Point2D::new(-5, -5), Size2D::new(8, 8));
let pq = p.intersection(&q);
assert!(pq.is_some());
let pq = pq.unwrap();
assert!(pq.origin == Point2D::new(5, 15));
assert!(pq.size == Size2D::new(5, 5));
let pr = p.intersection(&r);
assert!(pr.is_some());
let pr = pr.unwrap();
assert!(pr.origin == Point2D::new(0, 0));
assert!(pr.size == Size2D::new(3, 3));
let qr = q.intersection(&r);
assert!(qr.is_none());
}
#[test]
fn test_contains() {
let r = Rect::new(Point2D::new(-20, 15), Size2D::new(100, 200));
assert!(r.contains(&Point2D::new(0, 50)));
assert!(r.contains(&Point2D::new(-10, 200)));
// The `contains` method is inclusive of the top/left edges, but not the
// bottom/right edges.
assert!(r.contains(&Point2D::new(-20, 15)));
assert!(!r.contains(&Point2D::new(80, 15)));
assert!(!r.contains(&Point2D::new(80, 215)));
assert!(!r.contains(&Point2D::new(-20, 215)));
// Points beyond the top-left corner.
assert!(!r.contains(&Point2D::new(-25, 15)));
assert!(!r.contains(&Point2D::new(-15, 10)));
// Points beyond the top-right corner.
assert!(!r.contains(&Point2D::new(85, 20)));
assert!(!r.contains(&Point2D::new(75, 10)));
// Points beyond the bottom-right corner.
assert!(!r.contains(&Point2D::new(85, 210)));
assert!(!r.contains(&Point2D::new(75, 220)));
// Points beyond the bottom-left corner.
assert!(!r.contains(&Point2D::new(-25, 210)));
assert!(!r.contains(&Point2D::new(-15, 220)));
let r = Rect::new(Point2D::new(-20.0, 15.0), Size2D::new(100.0, 200.0));
assert!(r.contains_rect(&r));
assert!(!r.contains_rect(&r.translate(&vec2( 0.1, 0.0))));
assert!(!r.contains_rect(&r.translate(&vec2(-0.1, 0.0))));
assert!(!r.contains_rect(&r.translate(&vec2( 0.0, 0.1))));
assert!(!r.contains_rect(&r.translate(&vec2( 0.0, -0.1))));
// Empty rectangles are always considered as contained in other rectangles,
// even if their origin is not.
let p = Point2D::new(1.0, 1.0);
assert!(!r.contains(&p));
assert!(r.contains_rect(&Rect::new(p, Size2D::zero())));
}
#[test]
fn test_scale() {
let p = Rect::new(Point2D::new(0u32, 0u32), Size2D::new(50u32, 40u32));
let pp = p.scale(10, 15);
assert!(pp.size.width == 500);
assert!(pp.size.height == 600);
assert!(pp.origin.x == 0);
assert!(pp.origin.y == 0);
let r = Rect::new(Point2D::new(-10, -5), Size2D::new(50, 40));
let rr = r.scale(1, 20);
assert!(rr.size.width == 50);
assert!(rr.size.height == 800);
assert!(rr.origin.x == -10);
assert!(rr.origin.y == -100);
}
#[test]
fn test_inflate() {
let p = Rect::new(Point2D::new(0, 0), Size2D::new(10, 10));
let pp = p.inflate(10, 20);
assert!(pp.size.width == 30);
assert!(pp.size.height == 50);
assert!(pp.origin.x == -10);
assert!(pp.origin.y == -20);
let r = Rect::new(Point2D::new(0, 0), Size2D::new(10, 20));
let rr = r.inflate(-2, -5);
assert!(rr.size.width == 6);
assert!(rr.size.height == 10);
assert!(rr.origin.x == 2);
assert!(rr.origin.y == 5);
}
#[test]
fn test_min_max_x_y() {
let p = Rect::new(Point2D::new(0u32, 0u32), Size2D::new(50u32, 40u32));
assert!(p.max_y() == 40);
assert!(p.min_y() == 0);
assert!(p.max_x() == 50);
assert!(p.min_x() == 0);
let r = Rect::new(Point2D::new(-10, -5), Size2D::new(50, 40));
assert!(r.max_y() == 35);
assert!(r.min_y() == -5);
assert!(r.max_x() == 40);
assert!(r.min_x() == -10);
}
#[test]
fn test_is_empty() {
assert!(Rect::new(Point2D::new(0u32, 0u32), Size2D::new(0u32, 0u32)).is_empty());
assert!(Rect::new(Point2D::new(0u32, 0u32), Size2D::new(10u32, 0u32)).is_empty());
assert!(Rect::new(Point2D::new(0u32, 0u32), Size2D::new(0u32, 10u32)).is_empty());
assert!(!Rect::new(Point2D::new(0u32, 0u32), Size2D::new(1u32, 1u32)).is_empty());
assert!(Rect::new(Point2D::new(10u32, 10u32), Size2D::new(0u32, 0u32)).is_empty());
assert!(Rect::new(Point2D::new(10u32, 10u32), Size2D::new(10u32, 0u32)).is_empty());
assert!(Rect::new(Point2D::new(10u32, 10u32), Size2D::new(0u32, 10u32)).is_empty());
assert!(!Rect::new(Point2D::new(10u32, 10u32), Size2D::new(1u32, 1u32)).is_empty());
}
#[test]
fn test_round() {
let mut x = -2.0;
let mut y = -2.0;
let mut w = -2.0;
let mut h = -2.0;
while x < 2.0 {
while y < 2.0 {
while w < 2.0 {
while h < 2.0 {
let rect = Rect::new(Point2D::new(x, y), Size2D::new(w, h));
assert!(rect.contains_rect(&rect.round_in()));
assert!(rect.round_in().inflate(1.0, 1.0).contains_rect(&rect));
assert!(rect.round_out().contains_rect(&rect));
assert!(rect.inflate(1.0, 1.0).contains_rect(&rect.round_out()));
assert!(rect.inflate(1.0, 1.0).contains_rect(&rect.round()));
assert!(rect.round().inflate(1.0, 1.0).contains_rect(&rect));
h += 0.1;
}
w += 0.1;
}
y += 0.1;
}
x += 0.1
}
}
}

790
third_party/rust/euclid-0.16.0/src/rotation.rs поставляемый
Просмотреть файл

@ -1,790 +0,0 @@
// 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 approxeq::ApproxEq;
use num_traits::{Float, One, Zero};
use std::fmt;
use std::ops::{Add, Neg, Mul, Sub, Div, AddAssign, SubAssign, MulAssign, DivAssign};
use std::marker::PhantomData;
use trig::Trig;
use {TypedPoint2D, TypedPoint3D, TypedVector2D, TypedVector3D, Vector3D, point2, point3, vec3};
use {TypedTransform3D, TypedTransform2D, UnknownUnit};
/// An angle in radians
#[derive(Copy, Clone, Debug, PartialEq, Eq, PartialOrd, Hash)]
pub struct Angle<T> {
pub radians: T,
}
impl<T> Angle<T> {
#[inline]
pub fn radians(radians: T) -> Self {
Angle { radians }
}
#[inline]
pub fn get(self) -> T {
self.radians
}
}
impl<T> Angle<T>
where T: Trig
{
#[inline]
pub fn degrees(deg: T) -> Self {
Angle { radians: T::degrees_to_radians(deg) }
}
#[inline]
pub fn to_degrees(self) -> T {
T::radians_to_degrees(self.radians)
}
}
impl<T: Clone + Add<T, Output=T>> Add for Angle<T> {
type Output = Angle<T>;
fn add(self, other: Angle<T>) -> Angle<T> {
Angle::radians(self.radians + other.radians)
}
}
impl<T: Clone + AddAssign<T>> AddAssign for Angle<T> {
fn add_assign(&mut self, other: Angle<T>) {
self.radians += other.radians;
}
}
impl<T: Clone + Sub<T, Output=T>> Sub<Angle<T>> for Angle<T> {
type Output = Angle<T>;
fn sub(self, other: Angle<T>) -> <Self as Sub>::Output {
Angle::radians(self.radians - other.radians)
}
}
impl<T: Clone + SubAssign<T>> SubAssign for Angle<T> {
fn sub_assign(&mut self, other: Angle<T>) {
self.radians -= other.radians;
}
}
impl<T: Clone + Div<T, Output=T>> Div<Angle<T>> for Angle<T> {
type Output = T;
#[inline]
fn div(self, other: Angle<T>) -> T {
self.radians / other.radians
}
}
impl<T: Clone + Div<T, Output=T>> Div<T> for Angle<T> {
type Output = Angle<T>;
#[inline]
fn div(self, factor: T) -> Angle<T> {
Angle::radians(self.radians / factor)
}
}
impl<T: Clone + DivAssign<T>> DivAssign<T> for Angle<T> {
fn div_assign(&mut self, factor: T) {
self.radians /= factor;
}
}
impl<T: Clone + Mul<T, Output=T>> Mul<T> for Angle<T> {
type Output = Angle<T>;
#[inline]
fn mul(self, factor: T) -> Angle<T> {
Angle::radians(self.radians * factor)
}
}
impl<T: Clone + MulAssign<T>> MulAssign<T> for Angle<T> {
fn mul_assign(&mut self, factor: T) {
self.radians *= factor;
}
}
define_matrix! {
/// A transform that can represent rotations in 2d, represented as an angle in radians.
pub struct TypedRotation2D<T, Src, Dst> {
pub angle : T,
}
}
/// The default 2d rotation type with no units.
pub type Rotation2D<T> = TypedRotation2D<T, UnknownUnit, UnknownUnit>;
impl<T, Src, Dst> TypedRotation2D<T, Src, Dst> {
#[inline]
/// Creates a rotation from an angle in radians.
pub fn new(angle: Angle<T>) -> Self {
TypedRotation2D {
angle: angle.radians,
_unit: PhantomData,
}
}
pub fn radians(angle: T) -> Self {
Self::new(Angle::radians(angle))
}
/// Creates the identity rotation.
#[inline]
pub fn identity() -> Self where T: Zero {
Self::radians(T::zero())
}
}
impl<T, Src, Dst> TypedRotation2D<T, Src, Dst> where T: Clone
{
/// Returns self.angle as a strongly typed `Angle<T>`.
pub fn get_angle(&self) -> Angle<T> {
Angle::radians(self.angle.clone())
}
}
impl<T, Src, Dst> TypedRotation2D<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> +
ApproxEq<T> +
PartialOrd +
Float +
One + Zero
{
/// Creates a 3d rotation (around the z axis) from this 2d rotation.
#[inline]
pub fn to_3d(&self) -> TypedRotation3D<T, Src, Dst> {
TypedRotation3D::around_z(self.get_angle())
}
/// Returns the inverse of this rotation.
#[inline]
pub fn inverse(&self) -> TypedRotation2D<T, Dst, Src> {
TypedRotation2D::radians(-self.angle)
}
/// Returns a rotation representing the other rotation followed by this rotation.
#[inline]
pub fn pre_rotate<NewSrc>(&self, other: &TypedRotation2D<T, NewSrc, Src>) -> TypedRotation2D<T, NewSrc, Dst> {
TypedRotation2D::radians(self.angle + other.angle)
}
/// Returns a rotation representing this rotation followed by the other rotation.
#[inline]
pub fn post_rotate<NewDst>(&self, other: &TypedRotation2D<T, Dst, NewDst>) -> TypedRotation2D<T, Src, NewDst> {
other.pre_rotate(self)
}
/// Returns the given 2d point transformed by this rotation.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn transform_point(&self, point: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> {
let (sin, cos) = Float::sin_cos(self.angle);
point2(
point.x * cos - point.y * sin,
point.y * cos + point.x * sin,
)
}
/// Returns the given 2d vector transformed by this rotation.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn transform_vector(&self, vector: &TypedVector2D<T, Src>) -> TypedVector2D<T, Dst> {
self.transform_point(&vector.to_point()).to_vector()
}
}
impl<T, Src, Dst> TypedRotation2D<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 rotation.
#[inline]
pub fn to_transform(&self) -> TypedTransform2D<T, Src, Dst> {
TypedTransform2D::create_rotation(self.get_angle())
}
}
define_matrix! {
/// A transform that can represent rotations in 3d, represented as a quaternion.
///
/// Most methods expect the quaternion to be normalized.
/// When in doubt, use `unit_quaternion` instead of `quaternion` to create
/// a rotation as the former will ensure that its result is normalized.
///
/// Some people use the `x, y, z, w` (or `w, x, y, z`) notations. The equivalence is
/// as follows: `x -> i`, `y -> j`, `z -> k`, `w -> r`.
/// The memory layout of this type corresponds to the `x, y, z, w` notation
pub struct TypedRotation3D<T, Src, Dst> {
// Component multiplied by the imaginary number `i`.
pub i: T,
// Component multiplied by the imaginary number `j`.
pub j: T,
// Component multiplied by the imaginary number `k`.
pub k: T,
// The real part.
pub r: T,
}
}
/// The default 3d rotation type with no units.
pub type Rotation3D<T> = TypedRotation3D<T, UnknownUnit, UnknownUnit>;
impl<T, Src, Dst> TypedRotation3D<T, Src, Dst> {
/// Creates a rotation around from a quaternion representation.
///
/// The parameters are a, b, c and r compose the quaternion `a*i + b*j + c*k + r`
/// where `a`, `b` and `c` describe the vector part and the last parameter `r` is
/// the real part.
///
/// The resulting quaternion is not necessarily normalized. See `unit_quaternion`.
#[inline]
pub fn quaternion(a: T, b: T, c: T, r: T) -> Self {
TypedRotation3D { i: a, j: b, k: c, r, _unit: PhantomData }
}
}
impl<T, Src, Dst> TypedRotation3D<T, Src, Dst> where T: Copy {
/// Returns the vector part (i, j, k) of this quaternion.
#[inline]
pub fn vector_part(&self) -> Vector3D<T> { vec3(self.i, self.j, self.k) }
}
impl<T, Src, Dst> TypedRotation3D<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> +
ApproxEq<T> +
PartialOrd +
Float +
One + Zero
{
/// Creates the identity rotation.
#[inline]
pub fn identity() -> Self {
let zero = T::zero();
let one = T::one();
Self::quaternion(zero, zero, zero, one)
}
/// Creates a rotation around from a quaternion representation and normalizes it.
///
/// The parameters are a, b, c and r compose the quaternion `a*i + b*j + c*k + r`
/// before normalization, where `a`, `b` and `c` describe the vector part and the
/// last parameter `r` is the real part.
#[inline]
pub fn unit_quaternion(i: T, j: T, k: T, r: T) -> Self {
Self::quaternion(i, j, k, r).normalize()
}
/// Creates a rotation around a given axis.
pub fn around_axis(axis: TypedVector3D<T, Src>, angle: Angle<T>) -> Self {
let axis = axis.normalize();
let two = T::one() + T::one();
let (sin, cos) = Float::sin_cos(angle.radians / two);
Self::quaternion(axis.x * sin, axis.y * sin, axis.z * sin, cos)
}
/// Creates a rotation around the x axis.
pub fn around_x(angle: Angle<T>) -> Self {
let zero = Zero::zero();
let two = T::one() + T::one();
let (sin, cos) = Float::sin_cos(angle.radians / two);
Self::quaternion(sin, zero, zero, cos)
}
/// Creates a rotation around the y axis.
pub fn around_y(angle: Angle<T>) -> Self {
let zero = Zero::zero();
let two = T::one() + T::one();
let (sin, cos) = Float::sin_cos(angle.radians / two);
Self::quaternion(zero, sin, zero, cos)
}
/// Creates a rotation around the z axis.
pub fn around_z(angle: Angle<T>) -> Self {
let zero = Zero::zero();
let two = T::one() + T::one();
let (sin, cos) = Float::sin_cos(angle.radians / two);
Self::quaternion(zero, zero, sin, cos)
}
/// Creates a rotation from euler angles.
///
/// The rotations are applied in roll then pitch then yaw order.
///
/// - Roll (also calld bank) is a rotation around the x axis.
/// - Pitch (also calld bearing) is a rotation around the y axis.
/// - Yaw (also calld heading) is a rotation around the z axis.
pub fn euler(roll: Angle<T>, pitch: Angle<T>, yaw: Angle<T>) -> Self {
let half = T::one() / (T::one() + T::one());
let (sy, cy) = Float::sin_cos(half * yaw.get());
let (sp, cp) = Float::sin_cos(half * pitch.get());
let (sr, cr) = Float::sin_cos(half * roll.get());
Self::quaternion(
cy * sr * cp - sy * cr * sp,
cy * cr * sp + sy * sr * cp,
sy * cr * cp - cy * sr * sp,
cy * cr * cp + sy * sr * sp,
)
}
/// Returns the inverse of this rotation.
#[inline]
pub fn inverse(&self) -> TypedRotation3D<T, Dst, Src> {
TypedRotation3D::quaternion(-self.i, -self.j, -self.k, self.r)
}
/// Computes the norm of this quaternion
#[inline]
pub fn norm(&self) -> T {
self.square_norm().sqrt()
}
#[inline]
pub fn square_norm(&self) -> T {
(self.i * self.i + self.j * self.j + self.k * self.k + self.r *self.r)
}
/// Returns a unit quaternion from this one.
#[inline]
pub fn normalize(&self) -> Self {
self.mul(T::one() / self.norm())
}
#[inline]
pub fn is_normalized(&self) -> bool {
// TODO: we might need to relax the threshold here, because of floating point imprecision.
self.square_norm().approx_eq(&T::one())
}
/// Spherical linear interpolation between this rotation and another rotation.
///
/// `t` is expected to be between zero and one.
pub fn slerp(&self, other: &Self, t: T) -> Self {
debug_assert!(self.is_normalized());
debug_assert!(other.is_normalized());
let r1 = *self;
let mut r2 = *other;
let mut dot = r1.i * r2.i + r1.j * r2.j + r1.k * r2.k + r1.r * r2.r;
let one = T::one();
if dot.approx_eq(&T::one()) {
// If the inputs are too close, linearly interpolate to avoid precision issues.
return r1.lerp(&r2, t);
}
// If the dot product is negative, the quaternions
// have opposite handed-ness and slerp won't take
// the shorter path. Fix by reversing one quaternion.
if dot < T::zero() {
r2 = r2.mul(-T::one());
dot = -dot;
}
// For robustness, stay within the domain of acos.
dot = Float::min(dot, one);
// Angle between r1 and the result.
let theta = Float::acos(dot) * t;
// r1 and r3 form an orthonormal basis.
let r3 = r2.sub(r1.mul(dot)).normalize();
let (sin, cos) = Float::sin_cos(theta);
r1.mul(cos).add(r3.mul(sin))
}
/// Basic Linear interpolation between this rotation and another rotation.
///
/// `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;
return self.mul(one_t).add(other.mul(t)).normalize();
}
/// Returns the given 3d point transformed by this rotation.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
pub fn rotate_point3d(&self, point: &TypedPoint3D<T, Src>) -> TypedPoint3D<T, Dst> {
debug_assert!(self.is_normalized());
let two = T::one() + T::one();
let cross = self.vector_part().cross(point.to_vector().to_untyped()) * two;
point3(
point.x + self.r * cross.x + self.j * cross.z - self.k * cross.y,
point.y + self.r * cross.y + self.k * cross.x - self.i * cross.z,
point.z + self.r * cross.z + self.i * cross.y - self.j * cross.x,
)
}
/// Returns the given 2d point transformed by this rotation then projected on the xy plane.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn rotate_point2d(&self, point: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> {
self.rotate_point3d(&point.to_3d()).xy()
}
/// Returns the given 3d vector transformed by this rotation then projected on the xy plane.
///
/// The input vector must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn rotate_vector3d(&self, vector: &TypedVector3D<T, Src>) -> TypedVector3D<T, Dst> {
self.rotate_point3d(&vector.to_point()).to_vector()
}
/// Returns the given 2d vector transformed by this rotation then projected on the xy plane.
///
/// The input vector must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn rotate_vector2d(&self, vector: &TypedVector2D<T, Src>) -> TypedVector2D<T, Dst> {
self.rotate_vector3d(&vector.to_3d()).xy()
}
/// Returns the matrix representation of this rotation.
#[inline]
pub fn to_transform(&self) -> TypedTransform3D<T, Src, Dst> {
debug_assert!(self.is_normalized());
let i2 = self.i + self.i;
let j2 = self.j + self.j;
let k2 = self.k + self.k;
let ii = self.i * i2;
let ij = self.i * j2;
let ik = self.i * k2;
let jj = self.j * j2;
let jk = self.j * k2;
let kk = self.k * k2;
let ri = self.r * i2;
let rj = self.r * j2;
let rk = self.r * k2;
let one = T::one();
let zero = T::zero();
let m11 = one - (jj + kk);
let m12 = ij + rk;
let m13 = ik - rj;
let m21 = ij - rk;
let m22 = one - (ii + kk);
let m23 = jk + ri;
let m31 = ik + rj;
let m32 = jk - ri;
let m33 = one - (ii + jj);
TypedTransform3D::row_major(
m11, m12, m13, zero,
m21, m22, m23, zero,
m31, m32, m33, zero,
zero, zero, zero, one,
)
}
/// Returns a rotation representing the other rotation followed by this rotation.
pub fn pre_rotate<NewSrc>(&self, other: &TypedRotation3D<T, NewSrc, Src>) -> TypedRotation3D<T, NewSrc, Dst> {
debug_assert!(self.is_normalized());
TypedRotation3D::quaternion(
self.i * other.r + self.r * other.i + self.j * other.k - self.k * other.j,
self.j * other.r + self.r * other.j + self.k * other.i - self.i * other.k,
self.k * other.r + self.r * other.k + self.i * other.j - self.j * other.i,
self.r * other.r - self.i * other.i - self.j * other.j - self.k * other.k,
)
}
/// Returns a rotation representing this rotation followed by the other rotation.
#[inline]
pub fn post_rotate<NewDst>(&self, other: &TypedRotation3D<T, Dst, NewDst>) -> TypedRotation3D<T, Src, NewDst> {
other.pre_rotate(self)
}
// add, sub and mul are used internally for intermediate computation but aren't public
// because they don't carry real semantic meanings (I think?).
#[inline]
fn add(&self, other: Self) -> Self {
Self::quaternion(
self.i + other.i,
self.j + other.j,
self.k + other.k,
self.r + other.r,
)
}
#[inline]
fn sub(&self, other: Self) -> Self {
Self::quaternion(
self.i - other.i,
self.j - other.j,
self.k - other.k,
self.r - other.r,
)
}
#[inline]
fn mul(&self, factor: T) -> Self {
Self::quaternion(
self.i * factor,
self.j * factor,
self.k * factor,
self.r * factor,
)
}
}
impl<T: fmt::Debug, Src, Dst> fmt::Debug for TypedRotation3D<T, Src, Dst> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "Quat({:?}*i + {:?}*j + {:?}*k + {:?})", self.i, self.j, self.k, self.r)
}
}
impl<T: fmt::Display, Src, Dst> fmt::Display for TypedRotation3D<T, Src, Dst> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "Quat({}*i + {}*j + {}*k + {})", self.i, self.j, self.k, self.r)
}
}
impl<T, Src, Dst> ApproxEq<T> for TypedRotation3D<T, Src, Dst>
where
T: Copy + Neg<Output=T> + ApproxEq<T>
{
fn approx_epsilon() -> T {
T::approx_epsilon()
}
fn approx_eq(&self, other: &Self) -> bool {
self.approx_eq_eps(other, &Self::approx_epsilon())
}
fn approx_eq_eps(&self, other: &Self, eps: &T) -> bool {
(
self.i.approx_eq_eps(&other.i, eps)
&& self.j.approx_eq_eps(&other.j, eps)
&& self.k.approx_eq_eps(&other.k, eps)
&& self.r.approx_eq_eps(&other.r, eps)
) || (
self.i.approx_eq_eps(&-other.i, eps)
&& self.j.approx_eq_eps(&-other.j, eps)
&& self.k.approx_eq_eps(&-other.k, eps)
&& self.r.approx_eq_eps(&-other.r, eps)
)
}
}
#[test]
fn simple_rotation_2d() {
use std::f32::consts::{PI, FRAC_PI_2};
let ri = Rotation2D::identity();
let r90 = Rotation2D::radians(FRAC_PI_2);
let rm90 = Rotation2D::radians(-FRAC_PI_2);
let r180 = Rotation2D::radians(PI);
assert!(ri.transform_point(&point2(1.0, 2.0)).approx_eq(&point2(1.0, 2.0)));
assert!(r90.transform_point(&point2(1.0, 2.0)).approx_eq(&point2(-2.0, 1.0)));
assert!(rm90.transform_point(&point2(1.0, 2.0)).approx_eq(&point2(2.0, -1.0)));
assert!(r180.transform_point(&point2(1.0, 2.0)).approx_eq(&point2(-1.0, -2.0)));
assert!(
r90.inverse().inverse().transform_point(&point2(1.0, 2.0)).approx_eq(
&r90.transform_point(&point2(1.0, 2.0))
)
);
}
#[test]
fn simple_rotation_3d_in_2d() {
use std::f32::consts::{PI, FRAC_PI_2};
let ri = Rotation3D::identity();
let r90 = Rotation3D::around_z(Angle::radians(FRAC_PI_2));
let rm90 = Rotation3D::around_z(Angle::radians(-FRAC_PI_2));
let r180 = Rotation3D::around_z(Angle::radians(PI));
assert!(ri.rotate_point2d(&point2(1.0, 2.0)).approx_eq(&point2(1.0, 2.0)));
assert!(r90.rotate_point2d(&point2(1.0, 2.0)).approx_eq(&point2(-2.0, 1.0)));
assert!(rm90.rotate_point2d(&point2(1.0, 2.0)).approx_eq(&point2(2.0, -1.0)));
assert!(r180.rotate_point2d(&point2(1.0, 2.0)).approx_eq(&point2(-1.0, -2.0)));
assert!(
r90.inverse().inverse().rotate_point2d(&point2(1.0, 2.0)).approx_eq(
&r90.rotate_point2d(&point2(1.0, 2.0))
)
);
}
#[test]
fn pre_post() {
use std::f32::consts::{FRAC_PI_2};
let r1 = Rotation3D::around_x(Angle::radians(FRAC_PI_2));
let r2 = Rotation3D::around_y(Angle::radians(FRAC_PI_2));
let r3 = Rotation3D::around_z(Angle::radians(FRAC_PI_2));
let t1 = r1.to_transform();
let t2 = r2.to_transform();
let t3 = r3.to_transform();
let p = point3(1.0, 2.0, 3.0);
// Check that the order of transformations is correct (corresponds to what
// we do in Transfor3D).
let p1 = r1.post_rotate(&r2).post_rotate(&r3).rotate_point3d(&p);
let p2 = t1.post_mul(&t2).post_mul(&t3).transform_point3d(&p);
assert!(p1.approx_eq(&p2));
// Check that changing the order indeed matters.
let p3 = t3.post_mul(&t1).post_mul(&t2).transform_point3d(&p);
assert!(!p1.approx_eq(&p3));
}
#[test]
fn to_transform3d() {
use std::f32::consts::{PI, FRAC_PI_2};
let rotations = [
Rotation3D::identity(),
Rotation3D::around_x(Angle::radians(FRAC_PI_2)),
Rotation3D::around_x(Angle::radians(-FRAC_PI_2)),
Rotation3D::around_x(Angle::radians(PI)),
Rotation3D::around_y(Angle::radians(FRAC_PI_2)),
Rotation3D::around_y(Angle::radians(-FRAC_PI_2)),
Rotation3D::around_y(Angle::radians(PI)),
Rotation3D::around_z(Angle::radians(FRAC_PI_2)),
Rotation3D::around_z(Angle::radians(-FRAC_PI_2)),
Rotation3D::around_z(Angle::radians(PI)),
];
let points = [
point3(0.0, 0.0, 0.0),
point3(1.0, 2.0, 3.0),
point3(-5.0, 3.0, -1.0),
point3(-0.5, -1.0, 1.5),
];
for rotation in &rotations {
for point in &points {
let p1 = rotation.rotate_point3d(point);
let p2 = rotation.to_transform().transform_point3d(point);
assert!(p1.approx_eq(&p2));
}
}
}
#[test]
fn slerp() {
let q1 = Rotation3D::quaternion(1.0, 0.0, 0.0, 0.0);
let q2 = Rotation3D::quaternion(0.0, 1.0, 0.0, 0.0);
let q3 = Rotation3D::quaternion(0.0, 0.0, -1.0, 0.0);
// The values below can be obtained with a python program:
// import numpy
// import quaternion
// q1 = numpy.quaternion(1, 0, 0, 0)
// q2 = numpy.quaternion(0, 1, 0, 0)
// quaternion.slerp_evaluate(q1, q2, 0.2)
assert!(q1.slerp(&q2, 0.0).approx_eq(&q1));
assert!(q1.slerp(&q2, 0.2).approx_eq(&Rotation3D::quaternion(0.951056516295154, 0.309016994374947, 0.0, 0.0)));
assert!(q1.slerp(&q2, 0.4).approx_eq(&Rotation3D::quaternion(0.809016994374947, 0.587785252292473, 0.0, 0.0)));
assert!(q1.slerp(&q2, 0.6).approx_eq(&Rotation3D::quaternion(0.587785252292473, 0.809016994374947, 0.0, 0.0)));
assert!(q1.slerp(&q2, 0.8).approx_eq(&Rotation3D::quaternion(0.309016994374947, 0.951056516295154, 0.0, 0.0)));
assert!(q1.slerp(&q2, 1.0).approx_eq(&q2));
assert!(q1.slerp(&q3, 0.0).approx_eq(&q1));
assert!(q1.slerp(&q3, 0.2).approx_eq(&Rotation3D::quaternion(0.951056516295154, 0.0, -0.309016994374947, 0.0)));
assert!(q1.slerp(&q3, 0.4).approx_eq(&Rotation3D::quaternion(0.809016994374947, 0.0, -0.587785252292473, 0.0)));
assert!(q1.slerp(&q3, 0.6).approx_eq(&Rotation3D::quaternion(0.587785252292473, 0.0, -0.809016994374947, 0.0)));
assert!(q1.slerp(&q3, 0.8).approx_eq(&Rotation3D::quaternion(0.309016994374947, 0.0, -0.951056516295154, 0.0)));
assert!(q1.slerp(&q3, 1.0).approx_eq(&q3));
}
#[test]
fn around_axis() {
use std::f32::consts::{PI, FRAC_PI_2};
// Two sort of trivial cases:
let r1 = Rotation3D::around_axis(vec3(1.0, 1.0, 0.0), Angle::radians(PI));
let r2 = Rotation3D::around_axis(vec3(1.0, 1.0, 0.0), Angle::radians(FRAC_PI_2));
assert!(r1.rotate_point3d(&point3(1.0, 2.0, 0.0)).approx_eq(&point3(2.0, 1.0, 0.0)));
assert!(r2.rotate_point3d(&point3(1.0, 0.0, 0.0)).approx_eq(&point3(0.5, 0.5, -0.5.sqrt())));
// A more arbitray test (made up with numpy):
let r3 = Rotation3D::around_axis(vec3(0.5, 1.0, 2.0), Angle::radians(2.291288));
assert!(r3.rotate_point3d(&point3(1.0, 0.0, 0.0)).approx_eq(&point3(-0.58071821, 0.81401868, -0.01182979)));
}
#[test]
fn from_euler() {
use std::f32::consts::FRAC_PI_2;
// First test simple separate yaw pitch and roll rotations, because it is easy to come
// up with the corresponding quaternion.
// Since several quaternions can represent the same transformation we compare the result
// of transforming a point rather than the values of each qauetrnions.
let p = point3(1.0, 2.0, 3.0);
let angle = Angle::radians(FRAC_PI_2);
let zero = Angle::radians(0.0);
// roll
let roll_re = Rotation3D::euler(angle, zero, zero);
let roll_rq = Rotation3D::around_x(angle);
let roll_pe = roll_re.rotate_point3d(&p);
let roll_pq = roll_rq.rotate_point3d(&p);
// pitch
let pitch_re = Rotation3D::euler(zero, angle, zero);
let pitch_rq = Rotation3D::around_y(angle);
let pitch_pe = pitch_re.rotate_point3d(&p);
let pitch_pq = pitch_rq.rotate_point3d(&p);
// yaw
let yaw_re = Rotation3D::euler(zero, zero, angle);
let yaw_rq = Rotation3D::around_z(angle);
let yaw_pe = yaw_re.rotate_point3d(&p);
let yaw_pq = yaw_rq.rotate_point3d(&p);
assert!(roll_pe.approx_eq(&roll_pq));
assert!(pitch_pe.approx_eq(&pitch_pq));
assert!(yaw_pe.approx_eq(&yaw_pq));
// Now check that the yaw pitch and roll transformations when compined are applied in
// the proper order: roll -> pitch -> yaw.
let ypr_e = Rotation3D::euler(angle, angle, angle);
let ypr_q = roll_rq.post_rotate(&pitch_rq).post_rotate(&yaw_rq);
let ypr_pe = ypr_e.rotate_point3d(&p);
let ypr_pq = ypr_q.rotate_point3d(&p);
assert!(ypr_pe.approx_eq(&ypr_pq));
}

212
third_party/rust/euclid-0.16.0/src/scale.rs поставляемый
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@ -1,212 +0,0 @@
// Copyright 2014 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.
//! A type-checked scaling factor between units.
use num::One;
use num_traits::NumCast;
use serde::{Deserialize, Deserializer, Serialize, Serializer};
use std::fmt;
use std::ops::{Add, Mul, Sub, Div, Neg};
use std::marker::PhantomData;
use {TypedRect, TypedSize2D, TypedPoint2D, TypedVector2D};
/// A scaling factor between two different units of measurement.
///
/// This is effectively a type-safe float, intended to be used in combination with other types like
/// `length::Length` to enforce conversion between systems of measurement at compile time.
///
/// `Src` and `Dst` represent the units before and after multiplying a value by a `TypedScale`. They
/// may be types without values, such as empty enums. For example:
///
/// ```rust
/// use euclid::TypedScale;
/// use euclid::Length;
/// enum Mm {};
/// enum Inch {};
///
/// let mm_per_inch: TypedScale<f32, Inch, Mm> = TypedScale::new(25.4);
///
/// let one_foot: Length<f32, Inch> = Length::new(12.0);
/// let one_foot_in_mm: Length<f32, Mm> = one_foot * mm_per_inch;
/// ```
#[repr(C)]
pub struct TypedScale<T, Src, Dst>(pub T, PhantomData<(Src, Dst)>);
impl<'de, T, Src, Dst> Deserialize<'de> for TypedScale<T, Src, Dst> where T: Deserialize<'de> {
fn deserialize<D>(deserializer: D) -> Result<TypedScale<T, Src, Dst>, D::Error>
where D: Deserializer<'de> {
Ok(TypedScale(try!(Deserialize::deserialize(deserializer)), PhantomData))
}
}
impl<T, Src, Dst> Serialize for TypedScale<T, Src, Dst> where T: Serialize {
fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error> where S: Serializer {
self.0.serialize(serializer)
}
}
impl<T, Src, Dst> TypedScale<T, Src, Dst> {
pub fn new(x: T) -> TypedScale<T, Src, Dst> {
TypedScale(x, PhantomData)
}
}
impl<T: Clone, Src, Dst> TypedScale<T, Src, Dst> {
pub fn get(&self) -> T {
self.0.clone()
}
}
impl<T: Clone + One + Div<T, Output=T>, Src, Dst> TypedScale<T, Src, Dst> {
/// The inverse TypedScale (1.0 / self).
pub fn inv(&self) -> TypedScale<T, Dst, Src> {
let one: T = One::one();
TypedScale::new(one / self.get())
}
}
// scale0 * scale1
impl<T: Clone + Mul<T, Output=T>, A, B, C>
Mul<TypedScale<T, B, C>> for TypedScale<T, A, B> {
type Output = TypedScale<T, A, C>;
#[inline]
fn mul(self, other: TypedScale<T, B, C>) -> TypedScale<T, A, C> {
TypedScale::new(self.get() * other.get())
}
}
// scale0 + scale1
impl<T: Clone + Add<T, Output=T>, Src, Dst> Add for TypedScale<T, Src, Dst> {
type Output = TypedScale<T, Src, Dst>;
#[inline]
fn add(self, other: TypedScale<T, Src, Dst>) -> TypedScale<T, Src, Dst> {
TypedScale::new(self.get() + other.get())
}
}
// scale0 - scale1
impl<T: Clone + Sub<T, Output=T>, Src, Dst> Sub for TypedScale<T, Src, Dst> {
type Output = TypedScale<T, Src, Dst>;
#[inline]
fn sub(self, other: TypedScale<T, Src, Dst>) -> TypedScale<T, Src, Dst> {
TypedScale::new(self.get() - other.get())
}
}
impl<T: NumCast + Clone, Src, Dst0> TypedScale<T, Src, Dst0> {
/// Cast from one numeric representation to another, preserving the units.
pub fn cast<T1: NumCast + Clone>(&self) -> Option<TypedScale<T1, Src, Dst0>> {
NumCast::from(self.get()).map(TypedScale::new)
}
}
impl<T, Src, Dst> TypedScale<T, Src, Dst>
where T: Copy + Clone +
Mul<T, Output=T> +
Neg<Output=T> +
PartialEq +
One
{
/// Returns the given point transformed by this scale.
#[inline]
pub fn transform_point(&self, point: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> {
TypedPoint2D::new(point.x * self.get(), point.y * self.get())
}
/// Returns the given vector transformed by this scale.
#[inline]
pub fn transform_vector(&self, vec: &TypedVector2D<T, Src>) -> TypedVector2D<T, Dst> {
TypedVector2D::new(vec.x * self.get(), vec.y * self.get())
}
/// Returns the given vector transformed by this scale.
#[inline]
pub fn transform_size(&self, size: &TypedSize2D<T, Src>) -> TypedSize2D<T, Dst> {
TypedSize2D::new(size.width * self.get(), size.height * self.get())
}
/// Returns the given rect transformed by this scale.
#[inline]
pub fn transform_rect(&self, rect: &TypedRect<T, Src>) -> TypedRect<T, Dst> {
TypedRect::new(
self.transform_point(&rect.origin),
self.transform_size(&rect.size),
)
}
/// Returns the inverse of this scale.
#[inline]
pub fn inverse(&self) -> TypedScale<T, Dst, Src> {
TypedScale::new(-self.get())
}
/// Returns true if this scale has no effect.
#[inline]
pub fn is_identity(&self) -> bool {
self.get() == T::one()
}
}
// FIXME: Switch to `derive(PartialEq, Clone)` after this Rust issue is fixed:
// https://github.com/mozilla/rust/issues/7671
impl<T: PartialEq, Src, Dst> PartialEq for TypedScale<T, Src, Dst> {
fn eq(&self, other: &TypedScale<T, Src, Dst>) -> bool {
self.0 == other.0
}
}
impl<T: Clone, Src, Dst> Clone for TypedScale<T, Src, Dst> {
fn clone(&self) -> TypedScale<T, Src, Dst> {
TypedScale::new(self.get())
}
}
impl<T: Copy, Src, Dst> Copy for TypedScale<T, Src, Dst> {}
impl<T: fmt::Debug, Src, Dst> fmt::Debug for TypedScale<T, Src, Dst> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
self.0.fmt(f)
}
}
impl<T: fmt::Display, Src, Dst> fmt::Display for TypedScale<T, Src, Dst> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
self.0.fmt(f)
}
}
#[cfg(test)]
mod tests {
use super::TypedScale;
enum Inch {}
enum Cm {}
enum Mm {}
#[test]
fn test_scale() {
let mm_per_inch: TypedScale<f32, Inch, Mm> = TypedScale::new(25.4);
let cm_per_mm: TypedScale<f32, Mm, Cm> = TypedScale::new(0.1);
let mm_per_cm: TypedScale<f32, Cm, Mm> = cm_per_mm.inv();
assert_eq!(mm_per_cm.get(), 10.0);
let cm_per_inch: TypedScale<f32, Inch, Cm> = mm_per_inch * cm_per_mm;
assert_eq!(cm_per_inch, TypedScale::new(2.54));
let a: TypedScale<isize, Inch, Inch> = TypedScale::new(2);
let b: TypedScale<isize, Inch, Inch> = TypedScale::new(3);
assert!(a != b);
assert_eq!(a, a.clone());
assert_eq!(a.clone() + b.clone(), TypedScale::new(5));
assert_eq!(a - b, TypedScale::new(-1));
}
}

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@ -1,275 +0,0 @@
// 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.
//! A group of side offsets, which correspond to top/left/bottom/right for borders, padding,
//! and margins in CSS.
use super::UnknownUnit;
use length::Length;
use num::Zero;
use std::fmt;
use std::ops::Add;
use std::marker::PhantomData;
/// A group of side offsets, which correspond to top/left/bottom/right for borders, padding,
/// and margins in CSS, optionally tagged with a unit.
define_matrix! {
pub struct TypedSideOffsets2D<T, U> {
pub top: T,
pub right: T,
pub bottom: T,
pub left: T,
}
}
impl<T: fmt::Debug, U> fmt::Debug for TypedSideOffsets2D<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "({:?},{:?},{:?},{:?})",
self.top, self.right, self.bottom, self.left)
}
}
/// The default side offset type with no unit.
pub type SideOffsets2D<T> = TypedSideOffsets2D<T, UnknownUnit>;
impl<T: Copy, U> TypedSideOffsets2D<T, U> {
/// Constructor taking a scalar for each side.
pub fn new(top: T, right: T, bottom: T, left: T) -> Self {
TypedSideOffsets2D {
top: top,
right: right,
bottom: bottom,
left: left,
_unit: PhantomData,
}
}
/// Constructor taking a typed Length for each side.
pub fn from_lengths(top: Length<T, U>,
right: Length<T, U>,
bottom: Length<T, U>,
left: Length<T, U>) -> Self {
TypedSideOffsets2D::new(top.0, right.0, bottom.0, left.0)
}
/// Access self.top as a typed Length instead of a scalar value.
pub fn top_typed(&self) -> Length<T, U> { Length::new(self.top) }
/// Access self.right as a typed Length instead of a scalar value.
pub fn right_typed(&self) -> Length<T, U> { Length::new(self.right) }
/// Access self.bottom as a typed Length instead of a scalar value.
pub fn bottom_typed(&self) -> Length<T, U> { Length::new(self.bottom) }
/// Access self.left as a typed Length instead of a scalar value.
pub fn left_typed(&self) -> Length<T, U> { Length::new(self.left) }
/// Constructor setting the same value to all sides, taking a scalar value directly.
pub fn new_all_same(all: T) -> Self {
TypedSideOffsets2D::new(all, all, all, all)
}
/// Constructor setting the same value to all sides, taking a typed Length.
pub fn from_length_all_same(all: Length<T, U>) -> Self {
TypedSideOffsets2D::new_all_same(all.0)
}
}
impl<T, U> TypedSideOffsets2D<T, U> where T: Add<T, Output=T> + Copy {
pub fn horizontal(&self) -> T {
self.left + self.right
}
pub fn vertical(&self) -> T {
self.top + self.bottom
}
pub fn horizontal_typed(&self) -> Length<T, U> {
Length::new(self.horizontal())
}
pub fn vertical_typed(&self) -> Length<T, U> {
Length::new(self.vertical())
}
}
impl<T, U> Add for TypedSideOffsets2D<T, U> where T : Copy + Add<T, Output=T> {
type Output = Self;
fn add(self, other: Self) -> Self {
TypedSideOffsets2D::new(
self.top + other.top,
self.right + other.right,
self.bottom + other.bottom,
self.left + other.left,
)
}
}
impl<T: Copy + Zero, U> TypedSideOffsets2D<T, U> {
/// Constructor, setting all sides to zero.
pub fn zero() -> Self {
TypedSideOffsets2D::new(
Zero::zero(),
Zero::zero(),
Zero::zero(),
Zero::zero(),
)
}
}
/// A SIMD enabled version of TypedSideOffsets2D specialized for i32.
#[cfg(feature = "unstable")]
#[derive(Clone, Copy, PartialEq)]
#[repr(simd)]
pub struct SideOffsets2DSimdI32 {
pub top: i32,
pub bottom: i32,
pub right: i32,
pub left: i32,
}
#[cfg(feature = "unstable")]
impl SideOffsets2DSimdI32 {
#[inline]
pub fn new(top: i32, right: i32, bottom: i32, left: i32) -> SideOffsets2DSimdI32 {
SideOffsets2DSimdI32 {
top: top,
bottom: bottom,
right: right,
left: left,
}
}
}
#[cfg(feature = "unstable")]
impl SideOffsets2DSimdI32 {
#[inline]
pub fn new_all_same(all: i32) -> SideOffsets2DSimdI32 {
SideOffsets2DSimdI32::new(all.clone(), all.clone(), all.clone(), all.clone())
}
}
#[cfg(feature = "unstable")]
impl SideOffsets2DSimdI32 {
#[inline]
pub fn horizontal(&self) -> i32 {
self.left + self.right
}
#[inline]
pub fn vertical(&self) -> i32 {
self.top + self.bottom
}
}
/*impl Add for SideOffsets2DSimdI32 {
type Output = SideOffsets2DSimdI32;
#[inline]
fn add(self, other: SideOffsets2DSimdI32) -> SideOffsets2DSimdI32 {
self + other // Use SIMD addition
}
}*/
#[cfg(feature = "unstable")]
impl SideOffsets2DSimdI32 {
#[inline]
pub fn zero() -> SideOffsets2DSimdI32 {
SideOffsets2DSimdI32 {
top: 0,
bottom: 0,
right: 0,
left: 0,
}
}
#[cfg(not(target_arch = "x86_64"))]
#[inline]
pub fn is_zero(&self) -> bool {
self.top == 0 && self.right == 0 && self.bottom == 0 && self.left == 0
}
#[cfg(target_arch = "x86_64")]
#[inline]
pub fn is_zero(&self) -> bool {
let is_zero: bool;
unsafe {
asm! {
"ptest $1, $1
setz $0"
: "=r"(is_zero)
: "x"(*self)
:
: "intel"
};
}
is_zero
}
}
#[cfg(feature = "unstable")]
#[cfg(test)]
mod tests {
use super::SideOffsets2DSimdI32;
#[test]
fn test_is_zero() {
assert!(SideOffsets2DSimdI32::new_all_same(0).is_zero());
assert!(!SideOffsets2DSimdI32::new_all_same(1).is_zero());
assert!(!SideOffsets2DSimdI32::new(1, 0, 0, 0).is_zero());
assert!(!SideOffsets2DSimdI32::new(0, 1, 0, 0).is_zero());
assert!(!SideOffsets2DSimdI32::new(0, 0, 1, 0).is_zero());
assert!(!SideOffsets2DSimdI32::new(0, 0, 0, 1).is_zero());
}
}
#[cfg(feature = "unstable")]
#[cfg(bench)]
mod bench {
use test::BenchHarness;
use std::num::Zero;
use rand::{XorShiftRng, Rng};
use super::SideOffsets2DSimdI32;
#[cfg(target_arch = "x86")]
#[cfg(target_arch = "x86_64")]
#[bench]
fn bench_naive_is_zero(bh: &mut BenchHarness) {
fn is_zero(x: &SideOffsets2DSimdI32) -> bool {
x.top.is_zero() && x.right.is_zero() && x.bottom.is_zero() && x.left.is_zero()
}
let mut rng = XorShiftRng::new().unwrap();
bh.iter(|| is_zero(&rng.gen::<SideOffsets2DSimdI32>()))
}
#[bench]
fn bench_is_zero(bh: &mut BenchHarness) {
let mut rng = XorShiftRng::new().unwrap();
bh.iter(|| rng.gen::<SideOffsets2DSimdI32>().is_zero())
}
#[bench]
fn bench_naive_add(bh: &mut BenchHarness) {
fn add(x: &SideOffsets2DSimdI32, y: &SideOffsets2DSimdI32) -> SideOffsets2DSimdI32 {
SideOffsets2DSimdI32 {
top: x.top + y.top,
right: x.right + y.right,
bottom: x.bottom + y.bottom,
left: x.left + y.left,
}
}
let mut rng = XorShiftRng::new().unwrap();
bh.iter(|| add(&rng.gen::<SideOffsets2DSimdI32>(), &rng.gen::<SideOffsets2DSimdI32>()))
}
#[bench]
fn bench_add(bh: &mut BenchHarness) {
let mut rng = XorShiftRng::new().unwrap();
bh.iter(|| rng.gen::<SideOffsets2DSimdI32>() + rng.gen::<SideOffsets2DSimdI32>())
}
}

316
third_party/rust/euclid-0.16.0/src/size.rs поставляемый
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// 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 length::Length;
use scale::TypedScale;
use vector::{TypedVector2D, vec2};
use num::*;
use num_traits::{NumCast, Signed};
use std::fmt;
use std::ops::{Add, Div, Mul, Sub};
use std::marker::PhantomData;
/// A 2d size tagged with a unit.
define_matrix! {
pub struct TypedSize2D<T, U> {
pub width: T,
pub height: T,
}
}
/// Default 2d size type with no unit.
///
/// `Size2D` provides the same methods as `TypedSize2D`.
pub type Size2D<T> = TypedSize2D<T, UnknownUnit>;
impl<T: fmt::Debug, U> fmt::Debug for TypedSize2D<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "{:?}×{:?}", self.width, self.height)
}
}
impl<T: fmt::Display, U> fmt::Display for TypedSize2D<T, U> {
fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
write!(formatter, "({}x{})", self.width, self.height)
}
}
impl<T, U> TypedSize2D<T, U> {
/// Constructor taking scalar values.
pub fn new(width: T, height: T) -> Self {
TypedSize2D {
width: width,
height: height,
_unit: PhantomData,
}
}
}
impl<T: Clone, U> TypedSize2D<T, U> {
/// Constructor taking scalar strongly typed lengths.
pub fn from_lengths(width: Length<T, U>, height: Length<T, U>) -> Self {
TypedSize2D::new(width.get(), height.get())
}
}
impl<T: Round, U> TypedSize2D<T, U> {
/// Rounds each component to the nearest integer value.
///
/// This behavior is preserved for negative values (unlike the basic cast).
pub fn round(&self) -> Self {
TypedSize2D::new(self.width.round(), self.height.round())
}
}
impl<T: Ceil, U> TypedSize2D<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).
pub fn ceil(&self) -> Self {
TypedSize2D::new(self.width.ceil(), self.height.ceil())
}
}
impl<T: Floor, U> TypedSize2D<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).
pub fn floor(&self) -> Self {
TypedSize2D::new(self.width.floor(), self.height.floor())
}
}
impl<T: Copy + Add<T, Output=T>, U> Add for TypedSize2D<T, U> {
type Output = Self;
fn add(self, other: Self) -> Self {
TypedSize2D::new(self.width + other.width, self.height + other.height)
}
}
impl<T: Copy + Sub<T, Output=T>, U> Sub for TypedSize2D<T, U> {
type Output = Self;
fn sub(self, other: Self) -> Self {
TypedSize2D::new(self.width - other.width, self.height - other.height)
}
}
impl<T: Copy + Clone + Mul<T>, U> TypedSize2D<T, U> {
pub fn area(&self) -> T::Output { self.width * self.height }
}
impl<T, U> TypedSize2D<T, U>
where T: Copy + One + Add<Output=T> + Sub<Output=T> + Mul<Output=T> {
/// Linearly interpolate between this size and another size.
///
/// `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;
size2(
one_t * self.width + t * other.width,
one_t * self.height + t * other.height,
)
}
}
impl<T: Zero, U> TypedSize2D<T, U> {
pub fn zero() -> Self {
TypedSize2D::new(
Zero::zero(),
Zero::zero(),
)
}
}
impl<T: Zero, U> Zero for TypedSize2D<T, U> {
fn zero() -> Self {
TypedSize2D::new(
Zero::zero(),
Zero::zero(),
)
}
}
impl<T: Copy + Mul<T, Output=T>, U> Mul<T> for TypedSize2D<T, U> {
type Output = Self;
#[inline]
fn mul(self, scale: T) -> Self {
TypedSize2D::new(self.width * scale, self.height * scale)
}
}
impl<T: Copy + Div<T, Output=T>, U> Div<T> for TypedSize2D<T, U> {
type Output = Self;
#[inline]
fn div(self, scale: T) -> Self {
TypedSize2D::new(self.width / scale, self.height / scale)
}
}
impl<T: Copy + Mul<T, Output=T>, U1, U2> Mul<TypedScale<T, U1, U2>> for TypedSize2D<T, U1> {
type Output = TypedSize2D<T, U2>;
#[inline]
fn mul(self, scale: TypedScale<T, U1, U2>) -> TypedSize2D<T, U2> {
TypedSize2D::new(self.width * scale.get(), self.height * scale.get())
}
}
impl<T: Copy + Div<T, Output=T>, U1, U2> Div<TypedScale<T, U1, U2>> for TypedSize2D<T, U2> {
type Output = TypedSize2D<T, U1>;
#[inline]
fn div(self, scale: TypedScale<T, U1, U2>) -> TypedSize2D<T, U1> {
TypedSize2D::new(self.width / scale.get(), self.height / scale.get())
}
}
impl<T: Copy, U> TypedSize2D<T, U> {
/// Returns self.width as a Length carrying the unit.
#[inline]
pub fn width_typed(&self) -> Length<T, U> { Length::new(self.width) }
/// Returns self.height as a Length carrying the unit.
#[inline]
pub fn height_typed(&self) -> Length<T, U> { Length::new(self.height) }
#[inline]
pub fn to_array(&self) -> [T; 2] { [self.width, self.height] }
#[inline]
pub fn to_vector(&self) -> TypedVector2D<T, U> { vec2(self.width, self.height) }
/// Drop the units, preserving only the numeric value.
pub fn to_untyped(&self) -> Size2D<T> {
TypedSize2D::new(self.width, self.height)
}
/// Tag a unitless value with units.
pub fn from_untyped(p: &Size2D<T>) -> Self {
TypedSize2D::new(p.width, p.height)
}
}
impl<T: NumCast + Copy, Unit> TypedSize2D<T, Unit> {
/// 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 cast<NewT: NumCast + Copy>(&self) -> Option<TypedSize2D<NewT, Unit>> {
match (NumCast::from(self.width), NumCast::from(self.height)) {
(Some(w), Some(h)) => Some(TypedSize2D::new(w, h)),
_ => None
}
}
// Convenience functions for common casts
/// Cast into an `f32` size.
pub fn to_f32(&self) -> TypedSize2D<f32, Unit> {
self.cast().unwrap()
}
/// Cast into an `f64` size.
pub fn to_f64(&self) -> TypedSize2D<f64, Unit> {
self.cast().unwrap()
}
/// Cast into an `uint` size, truncating decimals if any.
///
/// When casting from floating point sizes, it is worth considering whether
/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain
/// the desired conversion behavior.
pub fn to_usize(&self) -> TypedSize2D<usize, Unit> {
self.cast().unwrap()
}
/// Cast into an `i32` size, truncating decimals if any.
///
/// When casting from floating point sizes, it is worth considering whether
/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain
/// the desired conversion behavior.
pub fn to_i32(&self) -> TypedSize2D<i32, Unit> {
self.cast().unwrap()
}
/// Cast into an `i64` size, truncating decimals if any.
///
/// When casting from floating point sizes, it is worth considering whether
/// to `round()`, `ceil()` or `floor()` before the cast in order to obtain
/// the desired conversion behavior.
pub fn to_i64(&self) -> TypedSize2D<i64, Unit> {
self.cast().unwrap()
}
}
impl<T, U> TypedSize2D<T, U>
where T: Signed {
pub fn abs(&self) -> Self {
size2(self.width.abs(), self.height.abs())
}
pub fn is_positive(&self) -> bool {
self.width.is_positive() && self.height.is_positive()
}
}
/// Shorthand for `TypedSize2D::new(w, h)`.
pub fn size2<T, U>(w: T, h: T) -> TypedSize2D<T, U> {
TypedSize2D::new(w, h)
}
#[cfg(test)]
mod size2d {
use super::Size2D;
#[test]
pub fn test_add() {
let p1 = Size2D::new(1.0, 2.0);
let p2 = Size2D::new(3.0, 4.0);
assert_eq!(p1 + p2, Size2D::new(4.0, 6.0));
let p1 = Size2D::new(1.0, 2.0);
let p2 = Size2D::new(0.0, 0.0);
assert_eq!(p1 + p2, Size2D::new(1.0, 2.0));
let p1 = Size2D::new(1.0, 2.0);
let p2 = Size2D::new(-3.0, -4.0);
assert_eq!(p1 + p2, Size2D::new(-2.0, -2.0));
let p1 = Size2D::new(0.0, 0.0);
let p2 = Size2D::new(0.0, 0.0);
assert_eq!(p1 + p2, Size2D::new(0.0, 0.0));
}
#[test]
pub fn test_sub() {
let p1 = Size2D::new(1.0, 2.0);
let p2 = Size2D::new(3.0, 4.0);
assert_eq!(p1 - p2, Size2D::new(-2.0, -2.0));
let p1 = Size2D::new(1.0, 2.0);
let p2 = Size2D::new(0.0, 0.0);
assert_eq!(p1 - p2, Size2D::new(1.0, 2.0));
let p1 = Size2D::new(1.0, 2.0);
let p2 = Size2D::new(-3.0, -4.0);
assert_eq!(p1 - p2, Size2D::new(4.0, 6.0));
let p1 = Size2D::new(0.0, 0.0);
let p2 = Size2D::new(0.0, 0.0);
assert_eq!(p1 - p2, Size2D::new(0.0, 0.0));
}
#[test]
pub fn test_area() {
let p = Size2D::new(1.5, 2.0);
assert_eq!(p.area(), 3.0);
}
}

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// 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, Angle};
use num::{One, Zero};
use point::TypedPoint2D;
use vector::{TypedVector2D, vec2};
use rect::TypedRect;
use transform3d::TypedTransform3D;
use std::ops::{Add, Mul, Div, Sub, Neg};
use std::marker::PhantomData;
use approxeq::ApproxEq;
use trig::Trig;
use std::fmt;
use num_traits::NumCast;
define_matrix! {
/// A 2d transform stored as a 2 by 3 matrix in row-major order in memory.
///
/// Transforms can be parametrized over the source and destination units, to describe a
/// transformation from a space to another.
/// For example, `TypedTransform2D<f32, WordSpace, ScreenSpace>::transform_point4d`
/// takes a `TypedPoint2D<f32, WordSpace>` and returns a `TypedPoint2D<f32, ScreenSpace>`.
///
/// Transforms expose a set of convenience methods for pre- and post-transformations.
/// A pre-transformation corresponds to adding an operation that is applied before
/// the rest of the transformation, while a post-transformation adds an operation
/// that is applied after.
pub struct TypedTransform2D<T, Src, Dst> {
pub m11: T, pub m12: T,
pub m21: T, pub m22: T,
pub m31: T, pub m32: T,
}
}
/// The default 2d transform type with no units.
pub type Transform2D<T> = TypedTransform2D<T, UnknownUnit, UnknownUnit>;
impl<T: Copy, Src, Dst> TypedTransform2D<T, Src, Dst> {
/// Create a transform specifying its matrix elements in row-major order.
pub fn row_major(m11: T, m12: T, m21: T, m22: T, m31: T, m32: T) -> Self {
TypedTransform2D {
m11: m11, m12: m12,
m21: m21, m22: m22,
m31: m31, m32: m32,
_unit: PhantomData,
}
}
/// Create a transform specifying its matrix elements in column-major order.
pub fn column_major(m11: T, m21: T, m31: T, m12: T, m22: T, m32: T) -> Self {
TypedTransform2D {
m11: m11, m12: m12,
m21: m21, m22: m22,
m31: m31, m32: m32,
_unit: PhantomData,
}
}
/// Returns an array containing this transform's terms in row-major order (the order
/// in which the transform is actually laid out in memory).
pub fn to_row_major_array(&self) -> [T; 6] {
[
self.m11, self.m12,
self.m21, self.m22,
self.m31, self.m32
]
}
/// Returns an array containing this transform's terms in column-major order.
pub fn to_column_major_array(&self) -> [T; 6] {
[
self.m11, self.m21, self.m31,
self.m12, self.m22, self.m32
]
}
/// Returns an array containing this transform's 3 rows in (in row-major order)
/// as arrays.
///
/// This is a convenience method to interface with other libraries like glium.
pub fn to_row_arrays(&self) -> [[T; 2]; 3] {
[
[self.m11, self.m12],
[self.m21, self.m22],
[self.m31, self.m32],
]
}
/// Creates a transform from an array of 6 elements in row-major order.
pub fn from_row_major_array(array: [T; 6]) -> Self {
Self::row_major(
array[0], array[1],
array[2], array[3],
array[4], array[5],
)
}
/// Creates a transform from 3 rows of 2 elements (row-major order).
pub fn from_row_arrays(array: [[T; 2]; 3]) -> Self {
Self::row_major(
array[0][0], array[0][1],
array[1][0], array[1][1],
array[2][0], array[2][1],
)
}
/// Drop the units, preserving only the numeric value.
pub fn to_untyped(&self) -> Transform2D<T> {
Transform2D::row_major(
self.m11, self.m12,
self.m21, self.m22,
self.m31, self.m32
)
}
/// Tag a unitless value with units.
pub fn from_untyped(p: &Transform2D<T>) -> Self {
TypedTransform2D::row_major(
p.m11, p.m12,
p.m21, p.m22,
p.m31, p.m32
)
}
}
impl<T0: NumCast + Copy, Src, Dst> TypedTransform2D<T0, Src, Dst> {
/// Cast from one numeric representation to another, preserving the units.
pub fn cast<T1: NumCast + Copy>(&self) -> Option<TypedTransform2D<T1, Src, Dst>> {
match (NumCast::from(self.m11), NumCast::from(self.m12),
NumCast::from(self.m21), NumCast::from(self.m22),
NumCast::from(self.m31), NumCast::from(self.m32)) {
(Some(m11), Some(m12),
Some(m21), Some(m22),
Some(m31), Some(m32)) => {
Some(TypedTransform2D::row_major(m11, m12,
m21, m22,
m31, m32))
},
_ => None
}
}
}
impl<T, Src, Dst> TypedTransform2D<T, Src, Dst>
where T: Copy +
PartialEq +
One + Zero {
pub fn identity() -> Self {
let (_0, _1) = (Zero::zero(), One::one());
TypedTransform2D::row_major(
_1, _0,
_0, _1,
_0, _0
)
}
// Intentional not public, because it checks for exact equivalence
// while most consumers will probably want some sort of approximate
// equivalence to deal with floating-point errors.
fn is_identity(&self) -> bool {
*self == TypedTransform2D::identity()
}
}
impl<T, Src, Dst> TypedTransform2D<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 multiplication of the two matrices such that mat's transformation
/// applies after self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_mul<NewDst>(&self, mat: &TypedTransform2D<T, Dst, NewDst>) -> TypedTransform2D<T, Src, NewDst> {
TypedTransform2D::row_major(
self.m11 * mat.m11 + self.m12 * mat.m21,
self.m11 * mat.m12 + self.m12 * mat.m22,
self.m21 * mat.m11 + self.m22 * mat.m21,
self.m21 * mat.m12 + self.m22 * mat.m22,
self.m31 * mat.m11 + self.m32 * mat.m21 + mat.m31,
self.m31 * mat.m12 + self.m32 * mat.m22 + mat.m32,
)
}
/// Returns the multiplication of the two matrices such that mat's transformation
/// applies before self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_mul<NewSrc>(&self, mat: &TypedTransform2D<T, NewSrc, Src>) -> TypedTransform2D<T, NewSrc, Dst> {
mat.post_mul(self)
}
/// Returns a translation transform.
pub fn create_translation(x: T, y: T) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
TypedTransform2D::row_major(
_1, _0,
_0, _1,
x, y
)
}
/// Applies a translation after self's transformation and returns the resulting transform.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_translate(&self, v: TypedVector2D<T, Dst>) -> Self {
self.post_mul(&TypedTransform2D::create_translation(v.x, v.y))
}
/// Applies a translation before self's transformation and returns the resulting transform.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_translate(&self, v: TypedVector2D<T, Src>) -> Self {
self.pre_mul(&TypedTransform2D::create_translation(v.x, v.y))
}
/// Returns a scale transform.
pub fn create_scale(x: T, y: T) -> Self {
let _0 = Zero::zero();
TypedTransform2D::row_major(
x, _0,
_0, y,
_0, _0
)
}
/// Applies a scale after self's transformation and returns the resulting transform.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_scale(&self, x: T, y: T) -> Self {
self.post_mul(&TypedTransform2D::create_scale(x, y))
}
/// Applies a scale before self's transformation and returns the resulting transform.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_scale(&self, x: T, y: T) -> Self {
TypedTransform2D::row_major(
self.m11 * x, self.m12,
self.m21, self.m22 * y,
self.m31, self.m32
)
}
/// Returns a rotation transform.
pub fn create_rotation(theta: Angle<T>) -> Self {
let _0 = Zero::zero();
let cos = theta.get().cos();
let sin = theta.get().sin();
TypedTransform2D::row_major(
cos, _0 - sin,
sin, cos,
_0, _0
)
}
/// Applies a rotation after self's transformation and returns the resulting transform.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_rotate(&self, theta: Angle<T>) -> Self {
self.post_mul(&TypedTransform2D::create_rotation(theta))
}
/// Applies a rotation after self's transformation and returns the resulting transform.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_rotate(&self, theta: Angle<T>) -> Self {
self.pre_mul(&TypedTransform2D::create_rotation(theta))
}
/// Returns the given point transformed by this transform.
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn transform_point(&self, point: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> {
TypedPoint2D::new(point.x * self.m11 + point.y * self.m21 + self.m31,
point.x * self.m12 + point.y * self.m22 + self.m32)
}
/// Returns the given vector transformed by this matrix.
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn transform_vector(&self, vec: &TypedVector2D<T, Src>) -> TypedVector2D<T, Dst> {
vec2(vec.x * self.m11 + vec.y * self.m21,
vec.x * self.m12 + vec.y * self.m22)
}
/// Returns a rectangle that encompasses the result of transforming the given rectangle by this
/// transform.
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn transform_rect(&self, rect: &TypedRect<T, Src>) -> TypedRect<T, Dst> {
TypedRect::from_points(&[
self.transform_point(&rect.origin),
self.transform_point(&rect.top_right()),
self.transform_point(&rect.bottom_left()),
self.transform_point(&rect.bottom_right()),
])
}
/// Computes and returns the determinant of this transform.
pub fn determinant(&self) -> T {
self.m11 * self.m22 - self.m12 * self.m21
}
/// Returns the inverse transform if possible.
#[cfg_attr(feature = "unstable", must_use)]
pub fn inverse(&self) -> Option<TypedTransform2D<T, Dst, Src>> {
let det = self.determinant();
let _0: T = Zero::zero();
let _1: T = One::one();
if det == _0 {
return None;
}
let inv_det = _1 / det;
Some(TypedTransform2D::row_major(
inv_det * self.m22,
inv_det * (_0 - self.m12),
inv_det * (_0 - self.m21),
inv_det * self.m11,
inv_det * (self.m21 * self.m32 - self.m22 * self.m31),
inv_det * (self.m31 * self.m12 - self.m11 * self.m32),
))
}
/// Returns the same transform with a different destination unit.
#[inline]
pub fn with_destination<NewDst>(&self) -> TypedTransform2D<T, Src, NewDst> {
TypedTransform2D::row_major(
self.m11, self.m12,
self.m21, self.m22,
self.m31, self.m32,
)
}
/// Returns the same transform with a different source unit.
#[inline]
pub fn with_source<NewSrc>(&self) -> TypedTransform2D<T, NewSrc, Dst> {
TypedTransform2D::row_major(
self.m11, self.m12,
self.m21, self.m22,
self.m31, self.m32,
)
}
}
impl <T, Src, Dst> TypedTransform2D<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> +
ApproxEq<T> +
PartialOrd +
Trig +
One + Zero {
/// Create a 3D transform from the current transform
pub fn to_3d(&self) -> TypedTransform3D<T, Src, Dst> {
TypedTransform3D::row_major_2d(self.m11, self.m12, self.m21, self.m22, self.m31, self.m32)
}
}
impl<T: ApproxEq<T>, Src, Dst> TypedTransform2D<T, Src, Dst> {
pub fn approx_eq(&self, other: &Self) -> bool {
self.m11.approx_eq(&other.m11) && self.m12.approx_eq(&other.m12) &&
self.m21.approx_eq(&other.m21) && self.m22.approx_eq(&other.m22) &&
self.m31.approx_eq(&other.m31) && self.m32.approx_eq(&other.m32)
}
}
impl<T: Copy + fmt::Debug, Src, Dst> fmt::Debug for TypedTransform2D<T, Src, Dst>
where T: Copy + fmt::Debug +
PartialEq +
One + Zero {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
if self.is_identity() {
write!(f, "[I]")
} else {
self.to_row_major_array().fmt(f)
}
}
}
#[cfg(test)]
mod test {
use super::*;
use approxeq::ApproxEq;
use point::Point2D;
use Angle;
use std::f32::consts::FRAC_PI_2;
type Mat = Transform2D<f32>;
fn rad(v: f32) -> Angle<f32> { Angle::radians(v) }
#[test]
pub fn test_translation() {
let t1 = Mat::create_translation(1.0, 2.0);
let t2 = Mat::identity().pre_translate(vec2(1.0, 2.0));
let t3 = Mat::identity().post_translate(vec2(1.0, 2.0));
assert_eq!(t1, t2);
assert_eq!(t1, t3);
assert_eq!(t1.transform_point(&Point2D::new(1.0, 1.0)), Point2D::new(2.0, 3.0));
assert_eq!(t1.post_mul(&t1), Mat::create_translation(2.0, 4.0));
}
#[test]
pub fn test_rotation() {
let r1 = Mat::create_rotation(rad(FRAC_PI_2));
let r2 = Mat::identity().pre_rotate(rad(FRAC_PI_2));
let r3 = Mat::identity().post_rotate(rad(FRAC_PI_2));
assert_eq!(r1, r2);
assert_eq!(r1, r3);
assert!(r1.transform_point(&Point2D::new(1.0, 2.0)).approx_eq(&Point2D::new(2.0, -1.0)));
assert!(r1.post_mul(&r1).approx_eq(&Mat::create_rotation(rad(FRAC_PI_2*2.0))));
}
#[test]
pub fn test_scale() {
let s1 = Mat::create_scale(2.0, 3.0);
let s2 = Mat::identity().pre_scale(2.0, 3.0);
let s3 = Mat::identity().post_scale(2.0, 3.0);
assert_eq!(s1, s2);
assert_eq!(s1, s3);
assert!(s1.transform_point(&Point2D::new(2.0, 2.0)).approx_eq(&Point2D::new(4.0, 6.0)));
}
#[test]
fn test_column_major() {
assert_eq!(
Mat::row_major(
1.0, 2.0,
3.0, 4.0,
5.0, 6.0
),
Mat::column_major(
1.0, 3.0, 5.0,
2.0, 4.0, 6.0,
)
);
}
#[test]
pub fn test_inverse_simple() {
let m1 = Mat::identity();
let m2 = m1.inverse().unwrap();
assert!(m1.approx_eq(&m2));
}
#[test]
pub fn test_inverse_scale() {
let m1 = Mat::create_scale(1.5, 0.3);
let m2 = m1.inverse().unwrap();
assert!(m1.pre_mul(&m2).approx_eq(&Mat::identity()));
}
#[test]
pub fn test_inverse_translate() {
let m1 = Mat::create_translation(-132.0, 0.3);
let m2 = m1.inverse().unwrap();
assert!(m1.pre_mul(&m2).approx_eq(&Mat::identity()));
}
#[test]
fn test_inverse_none() {
assert!(Mat::create_scale(2.0, 0.0).inverse().is_none());
assert!(Mat::create_scale(2.0, 2.0).inverse().is_some());
}
#[test]
pub fn test_pre_post() {
let m1 = Transform2D::identity().post_scale(1.0, 2.0).post_translate(vec2(1.0, 2.0));
let m2 = Transform2D::identity().pre_translate(vec2(1.0, 2.0)).pre_scale(1.0, 2.0);
assert!(m1.approx_eq(&m2));
let r = Mat::create_rotation(rad(FRAC_PI_2));
let t = Mat::create_translation(2.0, 3.0);
let a = Point2D::new(1.0, 1.0);
assert!(r.post_mul(&t).transform_point(&a).approx_eq(&Point2D::new(3.0, 2.0)));
assert!(t.post_mul(&r).transform_point(&a).approx_eq(&Point2D::new(4.0, -3.0)));
assert!(t.post_mul(&r).transform_point(&a).approx_eq(&r.transform_point(&t.transform_point(&a))));
assert!(r.pre_mul(&t).transform_point(&a).approx_eq(&Point2D::new(4.0, -3.0)));
assert!(t.pre_mul(&r).transform_point(&a).approx_eq(&Point2D::new(3.0, 2.0)));
assert!(t.pre_mul(&r).transform_point(&a).approx_eq(&t.transform_point(&r.transform_point(&a))));
}
#[test]
fn test_size_of() {
use std::mem::size_of;
assert_eq!(size_of::<Transform2D<f32>>(), 6*size_of::<f32>());
assert_eq!(size_of::<Transform2D<f64>>(), 6*size_of::<f64>());
}
#[test]
pub fn test_is_identity() {
let m1 = Transform2D::identity();
assert!(m1.is_identity());
let m2 = m1.post_translate(vec2(0.1, 0.0));
assert!(!m2.is_identity());
}
#[test]
pub fn test_transform_vector() {
// Translation does not apply to vectors.
let m1 = Mat::create_translation(1.0, 1.0);
let v1 = vec2(10.0, -10.0);
assert_eq!(v1, m1.transform_vector(&v1));
}
}

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// 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, Angle};
use approxeq::ApproxEq;
use trig::Trig;
use point::{TypedPoint2D, TypedPoint3D, point2, point3};
use vector::{TypedVector2D, TypedVector3D, vec2, vec3};
use rect::TypedRect;
use transform2d::TypedTransform2D;
use scale::TypedScale;
use num::{One, Zero};
use std::ops::{Add, Mul, Sub, Div, Neg};
use std::marker::PhantomData;
use std::fmt;
use num_traits::NumCast;
define_matrix! {
/// A 3d transform stored as a 4 by 4 matrix in row-major order in memory.
///
/// Transforms can be parametrized over the source and destination units, to describe a
/// transformation from a space to another.
/// For example, `TypedTransform3D<f32, WordSpace, ScreenSpace>::transform_point3d`
/// takes a `TypedPoint3D<f32, WordSpace>` and returns a `TypedPoint3D<f32, ScreenSpace>`.
///
/// Transforms expose a set of convenience methods for pre- and post-transformations.
/// A pre-transformation corresponds to adding an operation that is applied before
/// the rest of the transformation, while a post-transformation adds an operation
/// that is applied after.
pub struct TypedTransform3D<T, Src, Dst> {
pub m11: T, pub m12: T, pub m13: T, pub m14: T,
pub m21: T, pub m22: T, pub m23: T, pub m24: T,
pub m31: T, pub m32: T, pub m33: T, pub m34: T,
pub m41: T, pub m42: T, pub m43: T, pub m44: T,
}
}
/// The default 4d transform type with no units.
pub type Transform3D<T> = TypedTransform3D<T, UnknownUnit, UnknownUnit>;
impl<T, Src, Dst> TypedTransform3D<T, Src, Dst> {
/// Create a transform specifying its components in row-major order.
///
/// For example, the translation terms m41, m42, m43 on the last row with the
/// row-major convention) are the 13rd, 14th and 15th parameters.
#[inline]
pub fn row_major(
m11: T, m12: T, m13: T, m14: T,
m21: T, m22: T, m23: T, m24: T,
m31: T, m32: T, m33: T, m34: T,
m41: T, m42: T, m43: T, m44: T)
-> Self {
TypedTransform3D {
m11: m11, m12: m12, m13: m13, m14: m14,
m21: m21, m22: m22, m23: m23, m24: m24,
m31: m31, m32: m32, m33: m33, m34: m34,
m41: m41, m42: m42, m43: m43, m44: m44,
_unit: PhantomData,
}
}
/// Create a transform specifying its components in column-major order.
///
/// For example, the translation terms m41, m42, m43 on the last column with the
/// column-major convention) are the 4th, 8th and 12nd parameters.
#[inline]
pub fn column_major(
m11: T, m21: T, m31: T, m41: T,
m12: T, m22: T, m32: T, m42: T,
m13: T, m23: T, m33: T, m43: T,
m14: T, m24: T, m34: T, m44: T)
-> Self {
TypedTransform3D {
m11: m11, m12: m12, m13: m13, m14: m14,
m21: m21, m22: m22, m23: m23, m24: m24,
m31: m31, m32: m32, m33: m33, m34: m34,
m41: m41, m42: m42, m43: m43, m44: m44,
_unit: PhantomData,
}
}
}
impl <T, Src, Dst> TypedTransform3D<T, Src, Dst>
where T: Copy + Clone +
PartialEq +
One + Zero {
#[inline]
pub fn identity() -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
TypedTransform3D::row_major(
_1, _0, _0, _0,
_0, _1, _0, _0,
_0, _0, _1, _0,
_0, _0, _0, _1
)
}
// Intentional not public, because it checks for exact equivalence
// while most consumers will probably want some sort of approximate
// equivalence to deal with floating-point errors.
#[inline]
fn is_identity(&self) -> bool {
*self == TypedTransform3D::identity()
}
}
impl <T, Src, Dst> TypedTransform3D<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> +
ApproxEq<T> +
PartialOrd +
Trig +
One + Zero {
/// Create a 4 by 4 transform representing a 2d transformation, specifying its components
/// in row-major order.
#[inline]
pub fn row_major_2d(m11: T, m12: T, m21: T, m22: T, m41: T, m42: T) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
TypedTransform3D::row_major(
m11, m12, _0, _0,
m21, m22, _0, _0,
_0, _0, _1, _0,
m41, m42, _0, _1
)
}
/// Create an orthogonal projection transform.
pub fn ortho(left: T, right: T,
bottom: T, top: T,
near: T, far: T) -> Self {
let tx = -((right + left) / (right - left));
let ty = -((top + bottom) / (top - bottom));
let tz = -((far + near) / (far - near));
let (_0, _1): (T, T) = (Zero::zero(), One::one());
let _2 = _1 + _1;
TypedTransform3D::row_major(
_2 / (right - left), _0 , _0 , _0,
_0 , _2 / (top - bottom), _0 , _0,
_0 , _0 , -_2 / (far - near), _0,
tx , ty , tz , _1
)
}
/// Returns true if this transform can be represented with a TypedTransform2D.
///
/// See https://drafts.csswg.org/css-transforms/#2d-transform
#[inline]
pub fn is_2d(&self) -> bool {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
self.m31 == _0 && self.m32 == _0 &&
self.m13 == _0 && self.m23 == _0 &&
self.m43 == _0 && self.m14 == _0 &&
self.m24 == _0 && self.m34 == _0 &&
self.m33 == _1 && self.m44 == _1
}
/// Create a 2D transform picking the relevent terms from this transform.
///
/// This method assumes that self represents a 2d transformation, callers
/// should check that self.is_2d() returns true beforehand.
pub fn to_2d(&self) -> TypedTransform2D<T, Src, Dst> {
TypedTransform2D::row_major(
self.m11, self.m12,
self.m21, self.m22,
self.m41, self.m42
)
}
/// Check whether shapes on the XY plane with Z pointing towards the
/// screen transformed by this matrix would be facing back.
pub fn is_backface_visible(&self) -> bool {
// inverse().m33 < 0;
let det = self.determinant();
let m33 = self.m12 * self.m24 * self.m41 - self.m14 * self.m22 * self.m41 +
self.m14 * self.m21 * self.m42 - self.m11 * self.m24 * self.m42 -
self.m12 * self.m21 * self.m44 + self.m11 * self.m22 * self.m44;
let _0: T = Zero::zero();
(m33 * det) < _0
}
pub fn approx_eq(&self, other: &Self) -> bool {
self.m11.approx_eq(&other.m11) && self.m12.approx_eq(&other.m12) &&
self.m13.approx_eq(&other.m13) && self.m14.approx_eq(&other.m14) &&
self.m21.approx_eq(&other.m21) && self.m22.approx_eq(&other.m22) &&
self.m23.approx_eq(&other.m23) && self.m24.approx_eq(&other.m24) &&
self.m31.approx_eq(&other.m31) && self.m32.approx_eq(&other.m32) &&
self.m33.approx_eq(&other.m33) && self.m34.approx_eq(&other.m34) &&
self.m41.approx_eq(&other.m41) && self.m42.approx_eq(&other.m42) &&
self.m43.approx_eq(&other.m43) && self.m44.approx_eq(&other.m44)
}
/// Returns the same transform with a different destination unit.
#[inline]
pub fn with_destination<NewDst>(&self) -> TypedTransform3D<T, Src, NewDst> {
TypedTransform3D::row_major(
self.m11, self.m12, self.m13, self.m14,
self.m21, self.m22, self.m23, self.m24,
self.m31, self.m32, self.m33, self.m34,
self.m41, self.m42, self.m43, self.m44,
)
}
/// Returns the same transform with a different source unit.
#[inline]
pub fn with_source<NewSrc>(&self) -> TypedTransform3D<T, NewSrc, Dst> {
TypedTransform3D::row_major(
self.m11, self.m12, self.m13, self.m14,
self.m21, self.m22, self.m23, self.m24,
self.m31, self.m32, self.m33, self.m34,
self.m41, self.m42, self.m43, self.m44,
)
}
/// Drop the units, preserving only the numeric value.
#[inline]
pub fn to_untyped(&self) -> Transform3D<T> {
Transform3D::row_major(
self.m11, self.m12, self.m13, self.m14,
self.m21, self.m22, self.m23, self.m24,
self.m31, self.m32, self.m33, self.m34,
self.m41, self.m42, self.m43, self.m44,
)
}
/// Tag a unitless value with units.
#[inline]
pub fn from_untyped(m: &Transform3D<T>) -> Self {
TypedTransform3D::row_major(
m.m11, m.m12, m.m13, m.m14,
m.m21, m.m22, m.m23, m.m24,
m.m31, m.m32, m.m33, m.m34,
m.m41, m.m42, m.m43, m.m44,
)
}
/// Returns the multiplication of the two matrices such that mat's transformation
/// applies after self's transformation.
pub fn post_mul<NewDst>(&self, mat: &TypedTransform3D<T, Dst, NewDst>) -> TypedTransform3D<T, Src, NewDst> {
TypedTransform3D::row_major(
self.m11 * mat.m11 + self.m12 * mat.m21 + self.m13 * mat.m31 + self.m14 * mat.m41,
self.m11 * mat.m12 + self.m12 * mat.m22 + self.m13 * mat.m32 + self.m14 * mat.m42,
self.m11 * mat.m13 + self.m12 * mat.m23 + self.m13 * mat.m33 + self.m14 * mat.m43,
self.m11 * mat.m14 + self.m12 * mat.m24 + self.m13 * mat.m34 + self.m14 * mat.m44,
self.m21 * mat.m11 + self.m22 * mat.m21 + self.m23 * mat.m31 + self.m24 * mat.m41,
self.m21 * mat.m12 + self.m22 * mat.m22 + self.m23 * mat.m32 + self.m24 * mat.m42,
self.m21 * mat.m13 + self.m22 * mat.m23 + self.m23 * mat.m33 + self.m24 * mat.m43,
self.m21 * mat.m14 + self.m22 * mat.m24 + self.m23 * mat.m34 + self.m24 * mat.m44,
self.m31 * mat.m11 + self.m32 * mat.m21 + self.m33 * mat.m31 + self.m34 * mat.m41,
self.m31 * mat.m12 + self.m32 * mat.m22 + self.m33 * mat.m32 + self.m34 * mat.m42,
self.m31 * mat.m13 + self.m32 * mat.m23 + self.m33 * mat.m33 + self.m34 * mat.m43,
self.m31 * mat.m14 + self.m32 * mat.m24 + self.m33 * mat.m34 + self.m34 * mat.m44,
self.m41 * mat.m11 + self.m42 * mat.m21 + self.m43 * mat.m31 + self.m44 * mat.m41,
self.m41 * mat.m12 + self.m42 * mat.m22 + self.m43 * mat.m32 + self.m44 * mat.m42,
self.m41 * mat.m13 + self.m42 * mat.m23 + self.m43 * mat.m33 + self.m44 * mat.m43,
self.m41 * mat.m14 + self.m42 * mat.m24 + self.m43 * mat.m34 + self.m44 * mat.m44,
)
}
/// Returns the multiplication of the two matrices such that mat's transformation
/// applies before self's transformation.
pub fn pre_mul<NewSrc>(&self, mat: &TypedTransform3D<T, NewSrc, Src>) -> TypedTransform3D<T, NewSrc, Dst> {
mat.post_mul(self)
}
/// Returns the inverse transform if possible.
pub fn inverse(&self) -> Option<TypedTransform3D<T, Dst, Src>> {
let det = self.determinant();
if det == Zero::zero() {
return None;
}
// todo(gw): this could be made faster by special casing
// for simpler transform types.
let m = TypedTransform3D::row_major(
self.m23*self.m34*self.m42 - self.m24*self.m33*self.m42 +
self.m24*self.m32*self.m43 - self.m22*self.m34*self.m43 -
self.m23*self.m32*self.m44 + self.m22*self.m33*self.m44,
self.m14*self.m33*self.m42 - self.m13*self.m34*self.m42 -
self.m14*self.m32*self.m43 + self.m12*self.m34*self.m43 +
self.m13*self.m32*self.m44 - self.m12*self.m33*self.m44,
self.m13*self.m24*self.m42 - self.m14*self.m23*self.m42 +
self.m14*self.m22*self.m43 - self.m12*self.m24*self.m43 -
self.m13*self.m22*self.m44 + self.m12*self.m23*self.m44,
self.m14*self.m23*self.m32 - self.m13*self.m24*self.m32 -
self.m14*self.m22*self.m33 + self.m12*self.m24*self.m33 +
self.m13*self.m22*self.m34 - self.m12*self.m23*self.m34,
self.m24*self.m33*self.m41 - self.m23*self.m34*self.m41 -
self.m24*self.m31*self.m43 + self.m21*self.m34*self.m43 +
self.m23*self.m31*self.m44 - self.m21*self.m33*self.m44,
self.m13*self.m34*self.m41 - self.m14*self.m33*self.m41 +
self.m14*self.m31*self.m43 - self.m11*self.m34*self.m43 -
self.m13*self.m31*self.m44 + self.m11*self.m33*self.m44,
self.m14*self.m23*self.m41 - self.m13*self.m24*self.m41 -
self.m14*self.m21*self.m43 + self.m11*self.m24*self.m43 +
self.m13*self.m21*self.m44 - self.m11*self.m23*self.m44,
self.m13*self.m24*self.m31 - self.m14*self.m23*self.m31 +
self.m14*self.m21*self.m33 - self.m11*self.m24*self.m33 -
self.m13*self.m21*self.m34 + self.m11*self.m23*self.m34,
self.m22*self.m34*self.m41 - self.m24*self.m32*self.m41 +
self.m24*self.m31*self.m42 - self.m21*self.m34*self.m42 -
self.m22*self.m31*self.m44 + self.m21*self.m32*self.m44,
self.m14*self.m32*self.m41 - self.m12*self.m34*self.m41 -
self.m14*self.m31*self.m42 + self.m11*self.m34*self.m42 +
self.m12*self.m31*self.m44 - self.m11*self.m32*self.m44,
self.m12*self.m24*self.m41 - self.m14*self.m22*self.m41 +
self.m14*self.m21*self.m42 - self.m11*self.m24*self.m42 -
self.m12*self.m21*self.m44 + self.m11*self.m22*self.m44,
self.m14*self.m22*self.m31 - self.m12*self.m24*self.m31 -
self.m14*self.m21*self.m32 + self.m11*self.m24*self.m32 +
self.m12*self.m21*self.m34 - self.m11*self.m22*self.m34,
self.m23*self.m32*self.m41 - self.m22*self.m33*self.m41 -
self.m23*self.m31*self.m42 + self.m21*self.m33*self.m42 +
self.m22*self.m31*self.m43 - self.m21*self.m32*self.m43,
self.m12*self.m33*self.m41 - self.m13*self.m32*self.m41 +
self.m13*self.m31*self.m42 - self.m11*self.m33*self.m42 -
self.m12*self.m31*self.m43 + self.m11*self.m32*self.m43,
self.m13*self.m22*self.m41 - self.m12*self.m23*self.m41 -
self.m13*self.m21*self.m42 + self.m11*self.m23*self.m42 +
self.m12*self.m21*self.m43 - self.m11*self.m22*self.m43,
self.m12*self.m23*self.m31 - self.m13*self.m22*self.m31 +
self.m13*self.m21*self.m32 - self.m11*self.m23*self.m32 -
self.m12*self.m21*self.m33 + self.m11*self.m22*self.m33
);
let _1: T = One::one();
Some(m.mul_s(_1 / det))
}
/// Compute the determinant of the transform.
pub fn determinant(&self) -> T {
self.m14 * self.m23 * self.m32 * self.m41 -
self.m13 * self.m24 * self.m32 * self.m41 -
self.m14 * self.m22 * self.m33 * self.m41 +
self.m12 * self.m24 * self.m33 * self.m41 +
self.m13 * self.m22 * self.m34 * self.m41 -
self.m12 * self.m23 * self.m34 * self.m41 -
self.m14 * self.m23 * self.m31 * self.m42 +
self.m13 * self.m24 * self.m31 * self.m42 +
self.m14 * self.m21 * self.m33 * self.m42 -
self.m11 * self.m24 * self.m33 * self.m42 -
self.m13 * self.m21 * self.m34 * self.m42 +
self.m11 * self.m23 * self.m34 * self.m42 +
self.m14 * self.m22 * self.m31 * self.m43 -
self.m12 * self.m24 * self.m31 * self.m43 -
self.m14 * self.m21 * self.m32 * self.m43 +
self.m11 * self.m24 * self.m32 * self.m43 +
self.m12 * self.m21 * self.m34 * self.m43 -
self.m11 * self.m22 * self.m34 * self.m43 -
self.m13 * self.m22 * self.m31 * self.m44 +
self.m12 * self.m23 * self.m31 * self.m44 +
self.m13 * self.m21 * self.m32 * self.m44 -
self.m11 * self.m23 * self.m32 * self.m44 -
self.m12 * self.m21 * self.m33 * self.m44 +
self.m11 * self.m22 * self.m33 * self.m44
}
/// Multiplies all of the transform's component by a scalar and returns the result.
#[cfg_attr(feature = "unstable", must_use)]
pub fn mul_s(&self, x: T) -> Self {
TypedTransform3D::row_major(
self.m11 * x, self.m12 * x, self.m13 * x, self.m14 * x,
self.m21 * x, self.m22 * x, self.m23 * x, self.m24 * x,
self.m31 * x, self.m32 * x, self.m33 * x, self.m34 * x,
self.m41 * x, self.m42 * x, self.m43 * x, self.m44 * x
)
}
/// Convenience function to create a scale transform from a TypedScale.
pub fn from_scale(scale: TypedScale<T, Src, Dst>) -> Self {
TypedTransform3D::create_scale(scale.get(), scale.get(), scale.get())
}
/// Returns the given 2d point transformed by this transform.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn transform_point2d(&self, p: &TypedPoint2D<T, Src>) -> TypedPoint2D<T, Dst> {
let x = p.x * self.m11 + p.y * self.m21 + self.m41;
let y = p.x * self.m12 + p.y * self.m22 + self.m42;
let w = p.x * self.m14 + p.y * self.m24 + self.m44;
point2(x/w, y/w)
}
/// Returns the given 2d vector transformed by this matrix.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn transform_vector2d(&self, v: &TypedVector2D<T, Src>) -> TypedVector2D<T, Dst> {
vec2(
v.x * self.m11 + v.y * self.m21,
v.x * self.m12 + v.y * self.m22,
)
}
/// Returns the given 3d point transformed by this transform.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn transform_point3d(&self, p: &TypedPoint3D<T, Src>) -> TypedPoint3D<T, Dst> {
let x = p.x * self.m11 + p.y * self.m21 + p.z * self.m31 + self.m41;
let y = p.x * self.m12 + p.y * self.m22 + p.z * self.m32 + self.m42;
let z = p.x * self.m13 + p.y * self.m23 + p.z * self.m33 + self.m43;
let w = p.x * self.m14 + p.y * self.m24 + p.z * self.m34 + self.m44;
point3(x/w, y/w, z/w)
}
/// Returns the given 3d vector transformed by this matrix.
///
/// The input point must be use the unit Src, and the returned point has the unit Dst.
#[inline]
pub fn transform_vector3d(&self, v: &TypedVector3D<T, Src>) -> TypedVector3D<T, Dst> {
vec3(
v.x * self.m11 + v.y * self.m21 + v.z * self.m31,
v.x * self.m12 + v.y * self.m22 + v.z * self.m32,
v.x * self.m13 + v.y * self.m23 + v.z * self.m33,
)
}
/// Returns a rectangle that encompasses the result of transforming the given rectangle by this
/// transform.
pub fn transform_rect(&self, rect: &TypedRect<T, Src>) -> TypedRect<T, Dst> {
TypedRect::from_points(&[
self.transform_point2d(&rect.origin),
self.transform_point2d(&rect.top_right()),
self.transform_point2d(&rect.bottom_left()),
self.transform_point2d(&rect.bottom_right()),
])
}
/// Create a 3d translation transform
pub fn create_translation(x: T, y: T, z: T) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
TypedTransform3D::row_major(
_1, _0, _0, _0,
_0, _1, _0, _0,
_0, _0, _1, _0,
x, y, z, _1
)
}
/// Returns a transform with a translation applied before self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_translate(&self, v: TypedVector3D<T, Src>) -> Self {
self.pre_mul(&TypedTransform3D::create_translation(v.x, v.y, v.z))
}
/// Returns a transform with a translation applied after self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_translate(&self, v: TypedVector3D<T, Dst>) -> Self {
self.post_mul(&TypedTransform3D::create_translation(v.x, v.y, v.z))
}
/// Create a 3d scale transform
pub fn create_scale(x: T, y: T, z: T) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
TypedTransform3D::row_major(
x, _0, _0, _0,
_0, y, _0, _0,
_0, _0, z, _0,
_0, _0, _0, _1
)
}
/// Returns a transform with a scale applied before self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_scale(&self, x: T, y: T, z: T) -> Self {
TypedTransform3D::row_major(
self.m11 * x, self.m12, self.m13, self.m14,
self.m21 , self.m22 * y, self.m23, self.m24,
self.m31 , self.m32, self.m33 * z, self.m34,
self.m41 , self.m42, self.m43, self.m44
)
}
/// Returns a transform with a scale applied after self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_scale(&self, x: T, y: T, z: T) -> Self {
self.post_mul(&TypedTransform3D::create_scale(x, y, z))
}
/// Create a 3d rotation transform from an angle / axis.
/// The supplied axis must be normalized.
pub fn create_rotation(x: T, y: T, z: T, theta: Angle<T>) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
let _2 = _1 + _1;
let xx = x * x;
let yy = y * y;
let zz = z * z;
let half_theta = theta.get() / _2;
let sc = half_theta.sin() * half_theta.cos();
let sq = half_theta.sin() * half_theta.sin();
TypedTransform3D::row_major(
_1 - _2 * (yy + zz) * sq,
_2 * (x * y * sq - z * sc),
_2 * (x * z * sq + y * sc),
_0,
_2 * (x * y * sq + z * sc),
_1 - _2 * (xx + zz) * sq,
_2 * (y * z * sq - x * sc),
_0,
_2 * (x * z * sq - y * sc),
_2 * (y * z * sq + x * sc),
_1 - _2 * (xx + yy) * sq,
_0,
_0,
_0,
_0,
_1
)
}
/// Returns a transform with a rotation applied after self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn post_rotate(&self, x: T, y: T, z: T, theta: Angle<T>) -> Self {
self.post_mul(&TypedTransform3D::create_rotation(x, y, z, theta))
}
/// Returns a transform with a rotation applied before self's transformation.
#[cfg_attr(feature = "unstable", must_use)]
pub fn pre_rotate(&self, x: T, y: T, z: T, theta: Angle<T>) -> Self {
self.pre_mul(&TypedTransform3D::create_rotation(x, y, z, theta))
}
/// Create a 2d skew transform.
///
/// See https://drafts.csswg.org/css-transforms/#funcdef-skew
pub fn create_skew(alpha: Angle<T>, beta: Angle<T>) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
let (sx, sy) = (beta.get().tan(), alpha.get().tan());
TypedTransform3D::row_major(
_1, sx, _0, _0,
sy, _1, _0, _0,
_0, _0, _1, _0,
_0, _0, _0, _1
)
}
/// Create a simple perspective projection transform
pub fn create_perspective(d: T) -> Self {
let (_0, _1): (T, T) = (Zero::zero(), One::one());
TypedTransform3D::row_major(
_1, _0, _0, _0,
_0, _1, _0, _0,
_0, _0, _1, -_1 / d,
_0, _0, _0, _1
)
}
}
impl<T: Copy, Src, Dst> TypedTransform3D<T, Src, Dst> {
/// Returns an array containing this transform's terms in row-major order (the order
/// in which the transform is actually laid out in memory).
pub fn to_row_major_array(&self) -> [T; 16] {
[
self.m11, self.m12, self.m13, self.m14,
self.m21, self.m22, self.m23, self.m24,
self.m31, self.m32, self.m33, self.m34,
self.m41, self.m42, self.m43, self.m44
]
}
/// Returns an array containing this transform's terms in column-major order.
pub fn to_column_major_array(&self) -> [T; 16] {
[
self.m11, self.m21, self.m31, self.m41,
self.m12, self.m22, self.m32, self.m42,
self.m13, self.m23, self.m33, self.m43,
self.m14, self.m24, self.m34, self.m44
]
}
/// Returns an array containing this transform's 4 rows in (in row-major order)
/// as arrays.
///
/// This is a convenience method to interface with other libraries like glium.
pub fn to_row_arrays(&self) -> [[T; 4]; 4] {
[
[self.m11, self.m12, self.m13, self.m14],
[self.m21, self.m22, self.m23, self.m24],
[self.m31, self.m32, self.m33, self.m34],
[self.m41, self.m42, self.m43, self.m44]
]
}
/// Returns an array containing this transform's 4 columns in (in row-major order,
/// or 4 rows in column-major order) as arrays.
///
/// This is a convenience method to interface with other libraries like glium.
pub fn to_column_arrays(&self) -> [[T; 4]; 4] {
[
[self.m11, self.m21, self.m31, self.m41],
[self.m12, self.m22, self.m32, self.m42],
[self.m13, self.m23, self.m33, self.m43],
[self.m14, self.m24, self.m34, self.m44]
]
}
/// Creates a transform from an array of 16 elements in row-major order.
pub fn from_array(array: [T; 16]) -> Self {
Self::row_major(
array[0], array[1], array[2], array[3],
array[4], array[5], array[6], array[7],
array[8], array[9], array[10], array[11],
array[12], array[13], array[14], array[15],
)
}
/// Creates a transform from 4 rows of 4 elements (row-major order).
pub fn from_row_arrays(array: [[T; 4]; 4]) -> Self {
Self::row_major(
array[0][0], array[0][1], array[0][2], array[0][3],
array[1][0], array[1][1], array[1][2], array[1][3],
array[2][0], array[2][1], array[2][2], array[2][3],
array[3][0], array[3][1], array[3][2], array[3][3],
)
}
}
impl<T0: NumCast + Copy, Src, Dst> TypedTransform3D<T0, Src, Dst> {
/// Cast from one numeric representation to another, preserving the units.
pub fn cast<T1: NumCast + Copy>(&self) -> Option<TypedTransform3D<T1, Src, Dst>> {
match (NumCast::from(self.m11), NumCast::from(self.m12),
NumCast::from(self.m13), NumCast::from(self.m14),
NumCast::from(self.m21), NumCast::from(self.m22),
NumCast::from(self.m23), NumCast::from(self.m24),
NumCast::from(self.m31), NumCast::from(self.m32),
NumCast::from(self.m33), NumCast::from(self.m34),
NumCast::from(self.m41), NumCast::from(self.m42),
NumCast::from(self.m43), NumCast::from(self.m44)) {
(Some(m11), Some(m12), Some(m13), Some(m14),
Some(m21), Some(m22), Some(m23), Some(m24),
Some(m31), Some(m32), Some(m33), Some(m34),
Some(m41), Some(m42), Some(m43), Some(m44)) => {
Some(TypedTransform3D::row_major(m11, m12, m13, m14,
m21, m22, m23, m24,
m31, m32, m33, m34,
m41, m42, m43, m44))
},
_ => None
}
}
}
impl<T, Src, Dst> fmt::Debug for TypedTransform3D<T, Src, Dst>
where T: Copy + fmt::Debug +
PartialEq +
One + Zero {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
if self.is_identity() {
write!(f, "[I]")
} else {
self.to_row_major_array().fmt(f)
}
}
}
#[cfg(test)]
mod tests {
use approxeq::ApproxEq;
use transform2d::Transform2D;
use point::{Point2D, Point3D};
use Angle;
use super::*;
use std::f32::consts::{FRAC_PI_2, PI};
type Mf32 = Transform3D<f32>;
// For convenience.
fn rad(v: f32) -> Angle<f32> { Angle::radians(v) }
#[test]
pub fn test_translation() {
let t1 = Mf32::create_translation(1.0, 2.0, 3.0);
let t2 = Mf32::identity().pre_translate(vec3(1.0, 2.0, 3.0));
let t3 = Mf32::identity().post_translate(vec3(1.0, 2.0, 3.0));
assert_eq!(t1, t2);
assert_eq!(t1, t3);
assert_eq!(t1.transform_point3d(&Point3D::new(1.0, 1.0, 1.0)), Point3D::new(2.0, 3.0, 4.0));
assert_eq!(t1.transform_point2d(&Point2D::new(1.0, 1.0)), Point2D::new(2.0, 3.0));
assert_eq!(t1.post_mul(&t1), Mf32::create_translation(2.0, 4.0, 6.0));
assert!(!t1.is_2d());
assert_eq!(Mf32::create_translation(1.0, 2.0, 3.0).to_2d(), Transform2D::create_translation(1.0, 2.0));
}
#[test]
pub fn test_rotation() {
let r1 = Mf32::create_rotation(0.0, 0.0, 1.0, rad(FRAC_PI_2));
let r2 = Mf32::identity().pre_rotate(0.0, 0.0, 1.0, rad(FRAC_PI_2));
let r3 = Mf32::identity().post_rotate(0.0, 0.0, 1.0, rad(FRAC_PI_2));
assert_eq!(r1, r2);
assert_eq!(r1, r3);
assert!(r1.transform_point3d(&Point3D::new(1.0, 2.0, 3.0)).approx_eq(&Point3D::new(2.0, -1.0, 3.0)));
assert!(r1.transform_point2d(&Point2D::new(1.0, 2.0)).approx_eq(&Point2D::new(2.0, -1.0)));
assert!(r1.post_mul(&r1).approx_eq(&Mf32::create_rotation(0.0, 0.0, 1.0, rad(FRAC_PI_2*2.0))));
assert!(r1.is_2d());
assert!(r1.to_2d().approx_eq(&Transform2D::create_rotation(rad(FRAC_PI_2))));
}
#[test]
pub fn test_scale() {
let s1 = Mf32::create_scale(2.0, 3.0, 4.0);
let s2 = Mf32::identity().pre_scale(2.0, 3.0, 4.0);
let s3 = Mf32::identity().post_scale(2.0, 3.0, 4.0);
assert_eq!(s1, s2);
assert_eq!(s1, s3);
assert!(s1.transform_point3d(&Point3D::new(2.0, 2.0, 2.0)).approx_eq(&Point3D::new(4.0, 6.0, 8.0)));
assert!(s1.transform_point2d(&Point2D::new(2.0, 2.0)).approx_eq(&Point2D::new(4.0, 6.0)));
assert_eq!(s1.post_mul(&s1), Mf32::create_scale(4.0, 9.0, 16.0));
assert!(!s1.is_2d());
assert_eq!(Mf32::create_scale(2.0, 3.0, 0.0).to_2d(), Transform2D::create_scale(2.0, 3.0));
}
#[test]
pub fn test_ortho() {
let (left, right, bottom, top) = (0.0f32, 1.0f32, 0.1f32, 1.0f32);
let (near, far) = (-1.0f32, 1.0f32);
let result = Mf32::ortho(left, right, bottom, top, near, far);
let expected = Mf32::row_major(
2.0, 0.0, 0.0, 0.0,
0.0, 2.22222222, 0.0, 0.0,
0.0, 0.0, -1.0, 0.0,
-1.0, -1.22222222, -0.0, 1.0
);
debug!("result={:?} expected={:?}", result, expected);
assert!(result.approx_eq(&expected));
}
#[test]
pub fn test_is_2d() {
assert!(Mf32::identity().is_2d());
assert!(Mf32::create_rotation(0.0, 0.0, 1.0, rad(0.7854)).is_2d());
assert!(!Mf32::create_rotation(0.0, 1.0, 0.0, rad(0.7854)).is_2d());
}
#[test]
pub fn test_row_major_2d() {
let m1 = Mf32::row_major_2d(1.0, 2.0, 3.0, 4.0, 5.0, 6.0);
let m2 = Mf32::row_major(
1.0, 2.0, 0.0, 0.0,
3.0, 4.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
5.0, 6.0, 0.0, 1.0
);
assert_eq!(m1, m2);
}
#[test]
fn test_column_major() {
assert_eq!(
Mf32::row_major(
1.0, 2.0, 3.0, 4.0,
5.0, 6.0, 7.0, 8.0,
9.0, 10.0, 11.0, 12.0,
13.0, 14.0, 15.0, 16.0,
),
Mf32::column_major(
1.0, 5.0, 9.0, 13.0,
2.0, 6.0, 10.0, 14.0,
3.0, 7.0, 11.0, 15.0,
4.0, 8.0, 12.0, 16.0,
)
);
}
#[test]
pub fn test_inverse_simple() {
let m1 = Mf32::identity();
let m2 = m1.inverse().unwrap();
assert!(m1.approx_eq(&m2));
}
#[test]
pub fn test_inverse_scale() {
let m1 = Mf32::create_scale(1.5, 0.3, 2.1);
let m2 = m1.inverse().unwrap();
assert!(m1.pre_mul(&m2).approx_eq(&Mf32::identity()));
}
#[test]
pub fn test_inverse_translate() {
let m1 = Mf32::create_translation(-132.0, 0.3, 493.0);
let m2 = m1.inverse().unwrap();
assert!(m1.pre_mul(&m2).approx_eq(&Mf32::identity()));
}
#[test]
pub fn test_inverse_rotate() {
let m1 = Mf32::create_rotation(0.0, 1.0, 0.0, rad(1.57));
let m2 = m1.inverse().unwrap();
assert!(m1.pre_mul(&m2).approx_eq(&Mf32::identity()));
}
#[test]
pub fn test_inverse_transform_point_2d() {
let m1 = Mf32::create_translation(100.0, 200.0, 0.0);
let m2 = m1.inverse().unwrap();
assert!(m1.pre_mul(&m2).approx_eq(&Mf32::identity()));
let p1 = Point2D::new(1000.0, 2000.0);
let p2 = m1.transform_point2d(&p1);
assert!(p2.eq(&Point2D::new(1100.0, 2200.0)));
let p3 = m2.transform_point2d(&p2);
assert!(p3.eq(&p1));
}
#[test]
fn test_inverse_none() {
assert!(Mf32::create_scale(2.0, 0.0, 2.0).inverse().is_none());
assert!(Mf32::create_scale(2.0, 2.0, 2.0).inverse().is_some());
}
#[test]
pub fn test_pre_post() {
let m1 = Transform3D::identity().post_scale(1.0, 2.0, 3.0).post_translate(vec3(1.0, 2.0, 3.0));
let m2 = Transform3D::identity().pre_translate(vec3(1.0, 2.0, 3.0)).pre_scale(1.0, 2.0, 3.0);
assert!(m1.approx_eq(&m2));
let r = Mf32::create_rotation(0.0, 0.0, 1.0, rad(FRAC_PI_2));
let t = Mf32::create_translation(2.0, 3.0, 0.0);
let a = Point3D::new(1.0, 1.0, 1.0);
assert!(r.post_mul(&t).transform_point3d(&a).approx_eq(&Point3D::new(3.0, 2.0, 1.0)));
assert!(t.post_mul(&r).transform_point3d(&a).approx_eq(&Point3D::new(4.0, -3.0, 1.0)));
assert!(t.post_mul(&r).transform_point3d(&a).approx_eq(&r.transform_point3d(&t.transform_point3d(&a))));
assert!(r.pre_mul(&t).transform_point3d(&a).approx_eq(&Point3D::new(4.0, -3.0, 1.0)));
assert!(t.pre_mul(&r).transform_point3d(&a).approx_eq(&Point3D::new(3.0, 2.0, 1.0)));
assert!(t.pre_mul(&r).transform_point3d(&a).approx_eq(&t.transform_point3d(&r.transform_point3d(&a))));
}
#[test]
fn test_size_of() {
use std::mem::size_of;
assert_eq!(size_of::<Transform3D<f32>>(), 16*size_of::<f32>());
assert_eq!(size_of::<Transform3D<f64>>(), 16*size_of::<f64>());
}
#[test]
pub fn test_transform_associativity() {
let m1 = Mf32::row_major(3.0, 2.0, 1.5, 1.0,
0.0, 4.5, -1.0, -4.0,
0.0, 3.5, 2.5, 40.0,
0.0, 3.0, 0.0, 1.0);
let m2 = Mf32::row_major(1.0, -1.0, 3.0, 0.0,
-1.0, 0.5, 0.0, 2.0,
1.5, -2.0, 6.0, 0.0,
-2.5, 6.0, 1.0, 1.0);
let p = Point3D::new(1.0, 3.0, 5.0);
let p1 = m2.pre_mul(&m1).transform_point3d(&p);
let p2 = m2.transform_point3d(&m1.transform_point3d(&p));
assert!(p1.approx_eq(&p2));
}
#[test]
pub fn test_is_identity() {
let m1 = Transform3D::identity();
assert!(m1.is_identity());
let m2 = m1.post_translate(vec3(0.1, 0.0, 0.0));
assert!(!m2.is_identity());
}
#[test]
pub fn test_transform_vector() {
// Translation does not apply to vectors.
let m = Mf32::create_translation(1.0, 2.0, 3.0);
let v1 = vec3(10.0, -10.0, 3.0);
assert_eq!(v1, m.transform_vector3d(&v1));
// While it does apply to points.
assert!(v1.to_point() != m.transform_point3d(&v1.to_point()));
// same thing with 2d vectors/points
let v2 = vec2(10.0, -5.0);
assert_eq!(v2, m.transform_vector2d(&v2));
assert!(v2.to_point() != m.transform_point2d(&v2.to_point()));
}
#[test]
pub fn test_is_backface_visible() {
// backface is not visible for rotate-x 0 degree.
let r1 = Mf32::create_rotation(1.0, 0.0, 0.0, rad(0.0));
assert!(!r1.is_backface_visible());
// backface is not visible for rotate-x 45 degree.
let r1 = Mf32::create_rotation(1.0, 0.0, 0.0, rad(PI * 0.25));
assert!(!r1.is_backface_visible());
// backface is visible for rotate-x 180 degree.
let r1 = Mf32::create_rotation(1.0, 0.0, 0.0, rad(PI));
assert!(r1.is_backface_visible());
// backface is visible for rotate-x 225 degree.
let r1 = Mf32::create_rotation(1.0, 0.0, 0.0, rad(PI * 1.25));
assert!(r1.is_backface_visible());
// backface is not visible for non-inverseable matrix
let r1 = Mf32::create_scale(2.0, 0.0, 2.0);
assert!(!r1.is_backface_visible());
}
}

71
third_party/rust/euclid-0.16.0/src/trig.rs поставляемый
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@ -1,71 +0,0 @@
// 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.
/// Trait for basic trigonometry functions, so they can be used on generic numeric types
pub trait Trig {
fn sin(self) -> Self;
fn cos(self) -> Self;
fn tan(self) -> Self;
fn fast_atan2(y: Self, x: Self) -> Self;
fn degrees_to_radians(deg: Self) -> Self;
fn radians_to_degrees(rad: Self) -> Self;
}
macro_rules! trig {
($ty:ident) => (
impl Trig for $ty {
#[inline]
fn sin(self) -> $ty { self.sin() }
#[inline]
fn cos(self) -> $ty { self.cos() }
#[inline]
fn tan(self) -> $ty { self.tan() }
/// A slightly faster approximation of atan2.
///
/// Note that it does not deal with the case where both x and y are 0.
#[inline]
fn fast_atan2(y: $ty, x: $ty) -> $ty {
// See https://math.stackexchange.com/questions/1098487/atan2-faster-approximation#1105038
use std::$ty::consts;
let x_abs = x.abs();
let y_abs = y.abs();
let a = x_abs.min(y_abs) / x_abs.max(y_abs);
let s = a * a;
let mut result = ((-0.0464964749 * s + 0.15931422) * s - 0.327622764) * s * a + a;
if y_abs > x_abs {
result = consts::FRAC_PI_2 - result;
}
if x < 0.0 {
result = consts::PI - result
}
if y < 0.0 {
result = -result
}
result
}
#[inline]
fn degrees_to_radians(deg: Self) -> Self {
deg.to_radians()
}
#[inline]
fn radians_to_degrees(rad: Self) -> Self {
rad.to_degrees()
}
}
)
}
trig!(f32);
trig!(f64);

985
third_party/rust/euclid-0.16.0/src/vector.rs поставляемый
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@ -1,985 +0,0 @@
// 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 point::{TypedPoint2D, TypedPoint3D, point2, point3};
use size::{TypedSize2D, size2};
use scale::TypedScale;
use trig::Trig;
use Angle;
use num::*;
use num_traits::{Float, NumCast, Signed};
use std::fmt;
use std::ops::{Add, Neg, Mul, Sub, Div, AddAssign, SubAssign, MulAssign, DivAssign};
use std::marker::PhantomData;
define_matrix! {
/// A 2d Vector tagged with a unit.
pub struct TypedVector2D<T, U> {
pub x: T,
pub y: T,
}
}
/// Default 2d vector type with no unit.
///
/// `Vector2D` provides the same methods as `TypedVector2D`.
pub type Vector2D<T> = TypedVector2D<T, UnknownUnit>;
impl<T: Copy + Zero, U> TypedVector2D<T, U> {
/// Constructor, setting all components to zero.
#[inline]
pub fn zero() -> Self {
TypedVector2D::new(Zero::zero(), Zero::zero())
}
/// Convert into a 3d vector.
#[inline]
pub fn to_3d(&self) -> TypedVector3D<T, U> {
vec3(self.x, self.y, Zero::zero())
}
}
impl<T: fmt::Debug, U> fmt::Debug for TypedVector2D<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 TypedVector2D<T, U> {
fn fmt(&self, formatter: &mut fmt::Formatter) -> fmt::Result {
write!(formatter, "({},{})", self.x, self.y)
}
}
impl<T, U> TypedVector2D<T, U> {
/// Constructor taking scalar values directly.
#[inline]
pub fn new(x: T, y: T) -> Self {
TypedVector2D { x: x, y: y, _unit: PhantomData }
}
}
impl<T: Copy, U> TypedVector2D<T, U> {
/// Constructor taking properly typed Lengths instead of scalar values.
#[inline]
pub fn from_lengths(x: Length<T, U>, y: Length<T, U>) -> Self {
vec2(x.0, y.0)
}
/// Create a 3d vector from this one, using the specified z value.
#[inline]
pub fn extend(&self, z: T) -> TypedVector3D<T, U> {
vec3(self.x, self.y, z)
}
/// Cast this vector into a point.
///
/// Equivalent to adding this vector to the origin.
#[inline]
pub fn to_point(&self) -> TypedPoint2D<T, U> {
point2(self.x, self.y)
}
/// Swap x and y.
#[inline]
pub fn yx(&self) -> Self {
vec2(self.y, self.x)
}
/// Cast this vector into a size.
#[inline]
pub fn to_size(&self) -> TypedSize2D<T, U> {
size2(self.x, self.y)
}
/// Returns self.x as a Length carrying the unit.
#[inline]
pub fn x_typed(&self) -> Length<T, U> { Length::new(self.x) }
/// Returns self.y as a Length carrying the unit.
#[inline]
pub fn y_typed(&self) -> Length<T, U> { Length::new(self.y) }
/// Drop the units, preserving only the numeric value.
#[inline]
pub fn to_untyped(&self) -> Vector2D<T> {
vec2(self.x, self.y)
}
/// Tag a unitless value with units.
#[inline]
pub fn from_untyped(p: &Vector2D<T>) -> Self {
vec2(p.x, p.y)
}
#[inline]
pub fn to_array(&self) -> [T; 2] {
[self.x, self.y]
}
}
impl<T, U> TypedVector2D<T, U>
where T: Trig + Copy + Sub<T, Output = T> {
/// Returns the angle between this vector and the x axis between -PI and PI.
pub fn angle_from_x_axis(&self) -> Angle<T> {
Angle::radians(Trig::fast_atan2(self.y, self.x))
}
}
impl<T, U> TypedVector2D<T, U>
where T: Copy + Mul<T, Output=T> + Add<T, Output=T> + Sub<T, Output=T> {
/// Dot product.
#[inline]
pub fn dot(self, other: Self) -> T {
self.x * other.x + self.y * other.y
}
/// Returns the norm of the cross product [self.x, self.y, 0] x [other.x, other.y, 0]..
#[inline]
pub fn cross(self, other: Self) -> T {
self.x * other.y - self.y * other.x
}
#[inline]
pub fn normalize(self) -> Self where T: Float + ApproxEq<T> {
let dot = self.dot(self);
if dot.approx_eq(&T::zero()) {
self
} else {
self / dot.sqrt()
}
}
#[inline]
pub fn square_length(&self) -> T {
self.x * self.x + self.y * self.y
}
#[inline]
pub fn length(&self) -> T where T: Float + ApproxEq<T> {
self.square_length().sqrt()
}
}
impl<T, U> TypedVector2D<T, U>
where T: Copy + One + Add<Output=T> + Sub<Output=T> + Mul<Output=T> {
/// Linearly interpolate between this vector and another vector.
///
/// `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;
(*self) * one_t + other * t
}
}
impl<T: Copy + Add<T, Output=T>, U> Add for TypedVector2D<T, U> {
type Output = Self;
fn add(self, other: Self) -> Self {
TypedVector2D::new(self.x + other.x, self.y + other.y)
}
}
impl<T: Copy + Add<T, Output=T>, U> AddAssign for TypedVector2D<T, U> {
#[inline]
fn add_assign(&mut self, other: Self) {
*self = *self + other
}
}
impl<T: Copy + Sub<T, Output=T>, U> SubAssign<TypedVector2D<T, U>> for TypedVector2D<T, U> {
#[inline]
fn sub_assign(&mut self, other: Self) {
*self = *self - other
}
}
impl<T: Copy + Sub<T, Output=T>, U> Sub for TypedVector2D<T, U> {
type Output = Self;
#[inline]
fn sub(self, other: Self) -> Self {
vec2(self.x - other.x, self.y - other.y)
}
}
impl <T: Copy + Neg<Output=T>, U> Neg for TypedVector2D<T, U> {
type Output = Self;
#[inline]
fn neg(self) -> Self {
vec2(-self.x, -self.y)
}
}
impl<T: Float, U> TypedVector2D<T, U> {
#[inline]
pub fn min(self, other: Self) -> Self {
vec2(self.x.min(other.x), self.y.min(other.y))
}
#[inline]
pub fn max(self, other: Self) -> Self {
vec2(self.x.max(other.x), self.y.max(other.y))
}
}
impl<T: Copy + Mul<T, Output=T>, U> Mul<T> for TypedVector2D<T, U> {
type Output = Self;
#[inline]
fn mul(self, scale: T) -> Self {
vec2(self.x * scale, self.y * scale)
}
}
impl<T: Copy + Div<T, Output=T>, U> Div<T> for TypedVector2D<T, U> {
type Output = Self;
#[inline]
fn div(self, scale: T) -> Self {
vec2(self.x / scale, self.y / scale)
}
}
impl<T: Copy + Mul<T, Output=T>, U> MulAssign<T> for TypedVector2D<T, U> {
#[inline]
fn mul_assign(&mut self, scale: T) {
*self = *self * scale
}
}
impl<T: Copy + Div<T, Output=T>, U> DivAssign<T> for TypedVector2D<T, U> {
#[inline]
fn div_assign(&mut self, scale: T) {
*self = *self / scale
}
}
impl<T: Copy + Mul<T, Output=T>, U1, U2> Mul<TypedScale<T, U1, U2>> for TypedVector2D<T, U1> {
type Output = TypedVector2D<T, U2>;
#[inline]
fn mul(self, scale: TypedScale<T, U1, U2>) -> TypedVector2D<T, U2> {
vec2(self.x * scale.get(), self.y * scale.get())
}
}
impl<T: Copy + Div<T, Output=T>, U1, U2> Div<TypedScale<T, U1, U2>> for TypedVector2D<T, U2> {
type Output = TypedVector2D<T, U1>;
#[inline]
fn div(self, scale: TypedScale<T, U1, U2>) -> TypedVector2D<T, U1> {
vec2(self.x / scale.get(), self.y / scale.get())
}
}
impl<T: Round, U> TypedVector2D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn round(&self) -> Self {
vec2(self.x.round(), self.y.round())
}
}
impl<T: Ceil, U> TypedVector2D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn ceil(&self) -> Self {
vec2(self.x.ceil(), self.y.ceil())
}
}
impl<T: Floor, U> TypedVector2D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn floor(&self) -> Self {
vec2(self.x.floor(), self.y.floor())
}
}
impl<T: NumCast + Copy, U> TypedVector2D<T, U> {
/// Cast from one numeric representation to another, preserving the units.
///
/// When casting from floating vector 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) -> Option<TypedVector2D<NewT, U>> {
match (NumCast::from(self.x), NumCast::from(self.y)) {
(Some(x), Some(y)) => Some(TypedVector2D::new(x, y)),
_ => None
}
}
// Convenience functions for common casts
/// Cast into an `f32` vector.
#[inline]
pub fn to_f32(&self) -> TypedVector2D<f32, U> {
self.cast().unwrap()
}
/// Cast into an `f64` vector.
#[inline]
pub fn to_f64(&self) -> TypedVector2D<f64, U> {
self.cast().unwrap()
}
/// Cast into an `usize` vector, truncating decimals if any.
///
/// When casting from floating vector vectors, 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) -> TypedVector2D<usize, U> {
self.cast().unwrap()
}
/// Cast into an i32 vector, truncating decimals if any.
///
/// When casting from floating vector vectors, 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) -> TypedVector2D<i32, U> {
self.cast().unwrap()
}
/// Cast into an i64 vector, truncating decimals if any.
///
/// When casting from floating vector vectors, 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) -> TypedVector2D<i64, U> {
self.cast().unwrap()
}
}
impl<T: Copy+ApproxEq<T>, U> ApproxEq<TypedVector2D<T, U>> for TypedVector2D<T, U> {
#[inline]
fn approx_epsilon() -> Self {
vec2(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 TypedVector2D<T, U> {
fn into(self) -> [T; 2] {
self.to_array()
}
}
impl<T: Copy, U> From<[T; 2]> for TypedVector2D<T, U> {
fn from(array: [T; 2]) -> Self {
vec2(array[0], array[1])
}
}
impl<T, U> TypedVector2D<T, U>
where T: Signed {
pub fn abs(&self) -> Self {
vec2(self.x.abs(), self.y.abs())
}
}
define_matrix! {
/// A 3d Vector tagged with a unit.
pub struct TypedVector3D<T, U> {
pub x: T,
pub y: T,
pub z: T,
}
}
/// Default 3d vector type with no unit.
///
/// `Vector3D` provides the same methods as `TypedVector3D`.
pub type Vector3D<T> = TypedVector3D<T, UnknownUnit>;
impl<T: Copy + Zero, U> TypedVector3D<T, U> {
/// Constructor, setting all copmonents to zero.
#[inline]
pub fn zero() -> Self {
vec3(Zero::zero(), Zero::zero(), Zero::zero())
}
#[inline]
pub fn to_array_4d(&self) -> [T; 4] {
[self.x, self.y, self.z, Zero::zero()]
}
}
impl<T: fmt::Debug, U> fmt::Debug for TypedVector3D<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 TypedVector3D<T, U> {
fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
write!(f, "({},{},{})", self.x, self.y, self.z)
}
}
impl<T, U> TypedVector3D<T, U> {
/// Constructor taking scalar values directly.
#[inline]
pub fn new(x: T, y: T, z: T) -> Self {
TypedVector3D { x: x, y: y, z: z, _unit: PhantomData }
}
}
impl<T: Copy, U> TypedVector3D<T, U> {
/// Constructor taking properly typed Lengths instead of scalar values.
#[inline]
pub fn from_lengths(x: Length<T, U>, y: Length<T, U>, z: Length<T, U>) -> TypedVector3D<T, U> {
vec3(x.0, y.0, z.0)
}
/// Cast this vector into a point.
///
/// Equivalent to adding this vector to the origin.
#[inline]
pub fn to_point(&self) -> TypedPoint3D<T, U> {
point3(self.x, self.y, self.z)
}
/// Returns a 2d vector using this vector's x and y coordinates
#[inline]
pub fn xy(&self) -> TypedVector2D<T, U> {
vec2(self.x, self.y)
}
/// Returns a 2d vector using this vector's x and z coordinates
#[inline]
pub fn xz(&self) -> TypedVector2D<T, U> {
vec2(self.x, self.z)
}
/// Returns a 2d vector using this vector's x and z coordinates
#[inline]
pub fn yz(&self) -> TypedVector2D<T, U> {
vec2(self.y, self.z)
}
/// Returns self.x as a Length carrying the unit.
#[inline]
pub fn x_typed(&self) -> Length<T, U> { Length::new(self.x) }
/// Returns self.y as a Length carrying the unit.
#[inline]
pub fn y_typed(&self) -> Length<T, U> { Length::new(self.y) }
/// Returns self.z as a Length carrying the unit.
#[inline]
pub fn z_typed(&self) -> Length<T, U> { Length::new(self.z) }
#[inline]
pub fn to_array(&self) -> [T; 3] { [self.x, self.y, self.z] }
/// Drop the units, preserving only the numeric value.
#[inline]
pub fn to_untyped(&self) -> Vector3D<T> {
vec3(self.x, self.y, self.z)
}
/// Tag a unitless value with units.
#[inline]
pub fn from_untyped(p: &Vector3D<T>) -> Self {
vec3(p.x, p.y, p.z)
}
/// Convert into a 2d vector.
#[inline]
pub fn to_2d(&self) -> TypedVector2D<T, U> {
self.xy()
}
}
impl<T: Mul<T, Output=T> +
Add<T, Output=T> +
Sub<T, Output=T> +
Copy, U> TypedVector3D<T, U> {
// Dot product.
#[inline]
pub fn dot(self, other: Self) -> T {
self.x * other.x +
self.y * other.y +
self.z * other.z
}
// Cross product.
#[inline]
pub fn cross(self, other: Self) -> Self {
vec3(
self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x
)
}
#[inline]
pub fn normalize(self) -> Self where T: Float + ApproxEq<T> {
let dot = self.dot(self);
if dot.approx_eq(&T::zero()) {
self
} else {
self / dot.sqrt()
}
}
#[inline]
pub fn square_length(&self) -> T {
self.x * self.x + self.y * self.y + self.z * self.z
}
#[inline]
pub fn length(&self) -> T where T: Float + ApproxEq<T> {
self.square_length().sqrt()
}
}
impl<T, U> TypedVector3D<T, U>
where T: Copy + One + Add<Output=T> + Sub<Output=T> + Mul<Output=T> {
/// Linearly interpolate between this vector and another vector.
///
/// `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;
(*self) * one_t + other * t
}
}
impl<T: Copy + Add<T, Output=T>, U> Add for TypedVector3D<T, U> {
type Output = Self;
#[inline]
fn add(self, other: Self) -> Self {
vec3(self.x + other.x, self.y + other.y, self.z + other.z)
}
}
impl<T: Copy + Sub<T, Output=T>, U> Sub for TypedVector3D<T, U> {
type Output = Self;
#[inline]
fn sub(self, other: Self) -> Self {
vec3(self.x - other.x, self.y - other.y, self.z - other.z)
}
}
impl<T: Copy + Add<T, Output=T>, U> AddAssign for TypedVector3D<T, U> {
#[inline]
fn add_assign(&mut self, other: Self) {
*self = *self + other
}
}
impl<T: Copy + Sub<T, Output=T>, U> SubAssign<TypedVector3D<T, U>> for TypedVector3D<T, U> {
#[inline]
fn sub_assign(&mut self, other: Self) {
*self = *self - other
}
}
impl <T: Copy + Neg<Output=T>, U> Neg for TypedVector3D<T, U> {
type Output = Self;
#[inline]
fn neg(self) -> Self {
vec3(-self.x, -self.y, -self.z)
}
}
impl<T: Copy + Mul<T, Output=T>, U> Mul<T> for TypedVector3D<T, U> {
type Output = Self;
#[inline]
fn mul(self, scale: T) -> Self {
Self::new(self.x * scale, self.y * scale, self.z * scale)
}
}
impl<T: Copy + Div<T, Output=T>, U> Div<T> for TypedVector3D<T, U> {
type Output = Self;
#[inline]
fn div(self, scale: T) -> Self {
Self::new(self.x / scale, self.y / scale, self.z / scale)
}
}
impl<T: Copy + Mul<T, Output=T>, U> MulAssign<T> for TypedVector3D<T, U> {
#[inline]
fn mul_assign(&mut self, scale: T) {
*self = *self * scale
}
}
impl<T: Copy + Div<T, Output=T>, U> DivAssign<T> for TypedVector3D<T, U> {
#[inline]
fn div_assign(&mut self, scale: T) {
*self = *self / scale
}
}
impl<T: Float, U> TypedVector3D<T, U> {
#[inline]
pub fn min(self, other: Self) -> Self {
vec3(self.x.min(other.x), self.y.min(other.y), self.z.min(other.z))
}
#[inline]
pub fn max(self, other: Self) -> Self {
vec3(self.x.max(other.x), self.y.max(other.y), self.z.max(other.z))
}
}
impl<T: Round, U> TypedVector3D<T, U> {
/// Rounds each component to the nearest integer value.
///
/// This behavior is preserved for negative values (unlike the basic cast).
#[inline]
#[cfg_attr(feature = "unstable", must_use)]
pub fn round(&self) -> Self {
vec3(self.x.round(), self.y.round(), self.z.round())
}
}
impl<T: Ceil, U> TypedVector3D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn ceil(&self) -> Self {
vec3(self.x.ceil(), self.y.ceil(), self.z.ceil())
}
}
impl<T: Floor, U> TypedVector3D<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]
#[cfg_attr(feature = "unstable", must_use)]
pub fn floor(&self) -> Self {
vec3(self.x.floor(), self.y.floor(), self.z.floor())
}
}
impl<T: NumCast + Copy, U> TypedVector3D<T, U> {
/// Cast from one numeric representation to another, preserving the units.
///
/// When casting from floating vector 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) -> Option<TypedVector3D<NewT, U>> {
match (NumCast::from(self.x),
NumCast::from(self.y),
NumCast::from(self.z)) {
(Some(x), Some(y), Some(z)) => Some(vec3(x, y, z)),
_ => None
}
}
// Convenience functions for common casts
/// Cast into an `f32` vector.
#[inline]
pub fn to_f32(&self) -> TypedVector3D<f32, U> {
self.cast().unwrap()
}
/// Cast into an `f64` vector.
#[inline]
pub fn to_f64(&self) -> TypedVector3D<f64, U> {
self.cast().unwrap()
}
/// Cast into an `usize` vector, truncating decimals if any.
///
/// When casting from floating vector vectors, 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) -> TypedVector3D<usize, U> {
self.cast().unwrap()
}
/// Cast into an `i32` vector, truncating decimals if any.
///
/// When casting from floating vector vectors, 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) -> TypedVector3D<i32, U> {
self.cast().unwrap()
}
/// Cast into an `i64` vector, truncating decimals if any.
///
/// When casting from floating vector vectors, 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) -> TypedVector3D<i64, U> {
self.cast().unwrap()
}
}
impl<T: Copy+ApproxEq<T>, U> ApproxEq<TypedVector3D<T, U>> for TypedVector3D<T, U> {
#[inline]
fn approx_epsilon() -> Self {
vec3(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 TypedVector3D<T, U> {
fn into(self) -> [T; 3] {
self.to_array()
}
}
impl<T: Copy, U> From<[T; 3]> for TypedVector3D<T, U> {
fn from(array: [T; 3]) -> Self {
vec3(array[0], array[1], array[2])
}
}
impl<T, U> TypedVector3D<T, U>
where T: Signed {
pub fn abs(&self) -> Self {
vec3(self.x.abs(), self.y.abs(), self.z.abs())
}
}
/// Convenience constructor.
#[inline]
pub fn vec2<T, U>(x: T, y: T) -> TypedVector2D<T, U> {
TypedVector2D::new(x, y)
}
/// Convenience constructor.
#[inline]
pub fn vec3<T, U>(x: T, y: T, z: T) -> TypedVector3D<T, U> {
TypedVector3D::new(x, y, z)
}
#[cfg(test)]
mod vector2d {
use super::{Vector2D, vec2};
type Vec2 = Vector2D<f32>;
#[test]
pub fn test_scalar_mul() {
let p1: Vec2 = vec2(3.0, 5.0);
let result = p1 * 5.0;
assert_eq!(result, Vector2D::new(15.0, 25.0));
}
#[test]
pub fn test_dot() {
let p1: Vec2 = vec2(2.0, 7.0);
let p2: Vec2 = vec2(13.0, 11.0);
assert_eq!(p1.dot(p2), 103.0);
}
#[test]
pub fn test_cross() {
let p1: Vec2 = vec2(4.0, 7.0);
let p2: Vec2 = vec2(13.0, 8.0);
let r = p1.cross(p2);
assert_eq!(r, -59.0);
}
#[test]
pub fn test_normalize() {
let p0: Vec2 = Vec2::zero();
let p1: Vec2 = vec2(4.0, 0.0);
let p2: Vec2 = vec2(3.0, -4.0);
assert_eq!(p0.normalize(), p0);
assert_eq!(p1.normalize(), vec2(1.0, 0.0));
assert_eq!(p2.normalize(), vec2(0.6, -0.8));
}
#[test]
pub fn test_min() {
let p1: Vec2 = vec2(1.0, 3.0);
let p2: Vec2 = vec2(2.0, 2.0);
let result = p1.min(p2);
assert_eq!(result, vec2(1.0, 2.0));
}
#[test]
pub fn test_max() {
let p1: Vec2 = vec2(1.0, 3.0);
let p2: Vec2 = vec2(2.0, 2.0);
let result = p1.max(p2);
assert_eq!(result, vec2(2.0, 3.0));
}
#[test]
pub fn test_angle_from_x_axis() {
use std::f32::consts::FRAC_PI_2;
use approxeq::ApproxEq;
let right: Vec2 = vec2(10.0, 0.0);
let down: Vec2 = vec2(0.0, 4.0);
let up: Vec2 = vec2(0.0, -1.0);
assert!(right.angle_from_x_axis().get().approx_eq(&0.0));
assert!(down.angle_from_x_axis().get().approx_eq(&FRAC_PI_2));
assert!(up.angle_from_x_axis().get().approx_eq(&-FRAC_PI_2));
}
}
#[cfg(test)]
mod typedvector2d {
use super::{TypedVector2D, Vector2D, vec2};
use scale::TypedScale;
pub enum Mm {}
pub enum Cm {}
pub type Vector2DMm<T> = TypedVector2D<T, Mm>;
pub type Vector2DCm<T> = TypedVector2D<T, Cm>;
#[test]
pub fn test_add() {
let p1 = Vector2DMm::new(1.0, 2.0);
let p2 = Vector2DMm::new(3.0, 4.0);
let result = p1 + p2;
assert_eq!(result, vec2(4.0, 6.0));
}
#[test]
pub fn test_add_assign() {
let mut p1 = Vector2DMm::new(1.0, 2.0);
p1 += vec2(3.0, 4.0);
assert_eq!(p1, vec2(4.0, 6.0));
}
#[test]
pub fn test_scalar_mul() {
let p1 = Vector2DMm::new(1.0, 2.0);
let cm_per_mm: TypedScale<f32, Mm, Cm> = TypedScale::new(0.1);
let result: Vector2DCm<f32> = p1 * cm_per_mm;
assert_eq!(result, vec2(0.1, 0.2));
}
#[test]
pub fn test_swizzling() {
let p: Vector2D<i32> = vec2(1, 2);
assert_eq!(p.yx(), vec2(2, 1));
}
}
#[cfg(test)]
mod vector3d {
use super::{Vector3D, vec2, vec3};
type Vec3 = Vector3D<f32>;
#[test]
pub fn test_dot() {
let p1: Vec3 = vec3(7.0, 21.0, 32.0);
let p2: Vec3 = vec3(43.0, 5.0, 16.0);
assert_eq!(p1.dot(p2), 918.0);
}
#[test]
pub fn test_cross() {
let p1: Vec3 = vec3(4.0, 7.0, 9.0);
let p2: Vec3 = vec3(13.0, 8.0, 3.0);
let p3 = p1.cross(p2);
assert_eq!(p3, vec3(-51.0, 105.0, -59.0));
}
#[test]
pub fn test_normalize() {
let p0: Vec3 = Vec3::zero();
let p1: Vec3 = vec3(0.0, -6.0, 0.0);
let p2: Vec3 = vec3(1.0, 2.0, -2.0);
assert_eq!(p0.normalize(), p0);
assert_eq!(p1.normalize(), vec3(0.0, -1.0, 0.0));
assert_eq!(p2.normalize(), vec3(1.0/3.0, 2.0/3.0, -2.0/3.0));
}
#[test]
pub fn test_min() {
let p1: Vec3 = vec3(1.0, 3.0, 5.0);
let p2: Vec3 = vec3(2.0, 2.0, -1.0);
let result = p1.min(p2);
assert_eq!(result, vec3(1.0, 2.0, -1.0));
}
#[test]
pub fn test_max() {
let p1: Vec3 = vec3(1.0, 3.0, 5.0);
let p2: Vec3 = vec3(2.0, 2.0, -1.0);
let result = p1.max(p2);
assert_eq!(result, vec3(2.0, 3.0, 5.0));
}
#[test]
pub fn test_swizzling() {
let p: Vector3D<i32> = vec3(1, 2, 3);
assert_eq!(p.xy(), vec2(1, 2));
assert_eq!(p.xz(), vec2(1, 3));
assert_eq!(p.yz(), vec2(2, 3));
}
}

Просмотреть файл

@ -1 +1 @@
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{"files":{".travis.yml":"b76d49f66f842c652d40825c67791352364a6b6bbb7d8d1009f2ac79eb413e66","Cargo.toml":"a1d9fe24aa91d8a565216328d62ead47b5ab7d89815ee2c855a1bb890f42226b","LICENSE":"b946744aeda89b467929585fe8eeb5461847695220c1b168fb375d8abd4ea3d0","README.md":"70be33f99512c1b3a87d8b52fc37a0f2817280d654938ecc8856cb466e5b3bd2","benches/split.rs":"dfe01759652e2098f20547e0ddcc1b2937e88c6d6ddb025353c037a46b7ef85d","src/bsp.rs":"66e1690aa8540f744ee013ac0e550ecdee84633727cb3a2d8239db3597ad25d6","src/lib.rs":"21d6135c10dd820c2b9ac484cc018e1149f2bf44c315d27134edd3ecb8a7f3d2","src/naive.rs":"444d3298224009209ae329458fe8df953193b15a04da29cdd6f498572a6471bf","tests/main.rs":"54104b672128ae623e1ef6000c30110c2b713482b81bc5f18ac1f86088813cb1","tests/split.rs":"67259be206c2e9eb77b0ff285dc5c5d912f7e539c15fc9e278e5ec9959bc24af"},"package":"69c557e11e3a1533bc969fa596e5011e1d9f76dd61cd102ef942c9f8654b17a2"}

8
third_party/rust/plane-split/Cargo.toml поставляемый
Просмотреть файл

@ -12,21 +12,21 @@
[package]
name = "plane-split"
version = "0.7.0"
version = "0.8.0"
authors = ["Dzmitry Malyshau <kvark@mozilla.com>"]
description = "Plane splitting"
documentation = "https://docs.rs/plane-split"
keywords = ["geometry", "math"]
license = "MPL-2.0"
repository = "https://github.com/kvark/plane-split"
repository = "https://github.com/servo/plane-split"
[dependencies.binary-space-partition]
version = "0.1.2"
[dependencies.euclid]
version = "0.16"
version = "0.17"
[dependencies.log]
version = "0.3"
version = "0.4"
[dependencies.num-traits]
version = "0.1.37"

4
third_party/rust/plane-split/README.md поставляемый
Просмотреть файл

@ -1,4 +1,6 @@
# plane-split
[![Build Status](https://travis-ci.org/kvark/plane-split.svg)](https://travis-ci.org/kvark/plane-split) [![](http://meritbadge.herokuapp.com/plane-split)](https://crates.io/crates/plane-split) [![Documentation](https://docs.rs/plane-split/badge.svg)](https://docs.rs/plane-split)
[![Build Status](https://travis-ci.org/servo/plane-split.svg)](https://travis-ci.org/servo/plane-split)
[![](http://meritbadge.herokuapp.com/plane-split)](https://crates.io/crates/plane-split)
[![Documentation](https://docs.rs/plane-split/badge.svg)](https://docs.rs/plane-split)
Plane splitting with [euclid](https://crates.io/crates/euclid).

28
toolkit/library/gtest/rust/Cargo.lock сгенерированный
Просмотреть файл

@ -515,22 +515,13 @@ name = "error-chain"
version = "0.11.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "euclid"
version = "0.16.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"log 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)",
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
name = "euclid"
version = "0.17.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
@ -1109,12 +1100,12 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "plane-split"
version = "0.7.0"
version = "0.8.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"binary-space-partition 0.1.2 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
]
@ -1674,14 +1665,14 @@ dependencies = [
"core-graphics 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
"core-text 9.2.0 (registry+https://github.com/rust-lang/crates.io-index)",
"dwrote 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"freetype 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
"fxhash 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
"gleam 0.4.20 (registry+https://github.com/rust-lang/crates.io-index)",
"lazy_static 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
"plane-split 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)",
"plane-split 0.8.0 (registry+https://github.com/rust-lang/crates.io-index)",
"rayon 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
"ron 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
@ -1702,7 +1693,7 @@ dependencies = [
"core-foundation 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
"core-graphics 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
"dwrote 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
"serde_derive 1.0.27 (git+https://github.com/gankro/serde?branch=deserialize_from_enums4)",
"time 0.1.38 (registry+https://github.com/rust-lang/crates.io-index)",
@ -1716,7 +1707,7 @@ dependencies = [
"core-foundation 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
"core-graphics 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
"dwrote 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"foreign-types 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
"gleam 0.4.20 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
@ -1841,7 +1832,6 @@ dependencies = [
"checksum encoding_rs 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)" = "98fd0f24d1fb71a4a6b9330c8ca04cbd4e7cc5d846b54ca74ff376bc7c9f798d"
"checksum env_logger 0.4.3 (registry+https://github.com/rust-lang/crates.io-index)" = "3ddf21e73e016298f5cb37d6ef8e8da8e39f91f9ec8b0df44b7deb16a9f8cd5b"
"checksum error-chain 0.11.0 (registry+https://github.com/rust-lang/crates.io-index)" = "ff511d5dc435d703f4971bc399647c9bc38e20cb41452e3b9feb4765419ed3f3"
"checksum euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "926c639bfdff1f3063f76bb66245f6d2b691aa20fdbaabecc38b2947a13a4eba"
"checksum euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)" = "b2744c002882c67d0f6d6e8cfdf16eae729dc27744d312745132e62218b7de5c"
"checksum fnv 1.0.5 (registry+https://github.com/rust-lang/crates.io-index)" = "6cc484842f1e2884faf56f529f960cc12ad8c71ce96cc7abba0a067c98fee344"
"checksum foreign-types 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "5ebc04f19019fff1f2d627b5581574ead502f80c48c88900575a46e0840fe5d0"
@ -1899,7 +1889,7 @@ dependencies = [
"checksum phf_generator 0.7.21 (registry+https://github.com/rust-lang/crates.io-index)" = "6b07ffcc532ccc85e3afc45865469bf5d9e4ef5bfcf9622e3cfe80c2d275ec03"
"checksum phf_shared 0.7.21 (registry+https://github.com/rust-lang/crates.io-index)" = "07e24b0ca9643bdecd0632f2b3da6b1b89bbb0030e0b992afc1113b23a7bc2f2"
"checksum pkg-config 0.3.9 (registry+https://github.com/rust-lang/crates.io-index)" = "3a8b4c6b8165cd1a1cd4b9b120978131389f64bdaf456435caa41e630edba903"
"checksum plane-split 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)" = "d2adb8d1523b2ddcd98275613e9bc04eef75b47a39e252e63733a3218ae3c1b7"
"checksum plane-split 0.8.0 (registry+https://github.com/rust-lang/crates.io-index)" = "69c557e11e3a1533bc969fa596e5011e1d9f76dd61cd102ef942c9f8654b17a2"
"checksum precomputed-hash 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "925383efa346730478fb4838dbe9137d2a47675ad789c546d150a6e1dd4ab31c"
"checksum proc-macro2 0.2.2 (registry+https://github.com/rust-lang/crates.io-index)" = "d1cb7aaaa4bf022ec2b14ff2f2ba1643a22f3cee88df014a85e14b392282c61d"
"checksum procedural-masquerade 0.1.1 (registry+https://github.com/rust-lang/crates.io-index)" = "9f566249236c6ca4340f7ca78968271f0ed2b0f234007a61b66f9ecd0af09260"

28
toolkit/library/rust/Cargo.lock сгенерированный
Просмотреть файл

@ -515,22 +515,13 @@ name = "error-chain"
version = "0.11.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "euclid"
version = "0.16.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"log 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)",
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
name = "euclid"
version = "0.17.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
]
[[package]]
@ -1096,12 +1087,12 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
[[package]]
name = "plane-split"
version = "0.7.0"
version = "0.8.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
dependencies = [
"binary-space-partition 0.1.2 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.3.8 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
]
@ -1686,14 +1677,14 @@ dependencies = [
"core-graphics 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
"core-text 9.2.0 (registry+https://github.com/rust-lang/crates.io-index)",
"dwrote 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"freetype 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
"fxhash 0.2.1 (registry+https://github.com/rust-lang/crates.io-index)",
"gleam 0.4.20 (registry+https://github.com/rust-lang/crates.io-index)",
"lazy_static 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"num-traits 0.1.41 (registry+https://github.com/rust-lang/crates.io-index)",
"plane-split 0.7.0 (registry+https://github.com/rust-lang/crates.io-index)",
"plane-split 0.8.0 (registry+https://github.com/rust-lang/crates.io-index)",
"rayon 1.0.0 (registry+https://github.com/rust-lang/crates.io-index)",
"ron 0.1.7 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
@ -1714,7 +1705,7 @@ dependencies = [
"core-foundation 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
"core-graphics 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
"dwrote 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"serde 1.0.27 (registry+https://github.com/rust-lang/crates.io-index)",
"serde_derive 1.0.27 (git+https://github.com/gankro/serde?branch=deserialize_from_enums4)",
"time 0.1.38 (registry+https://github.com/rust-lang/crates.io-index)",
@ -1728,7 +1719,7 @@ dependencies = [
"core-foundation 0.5.1 (registry+https://github.com/rust-lang/crates.io-index)",
"core-graphics 0.13.0 (registry+https://github.com/rust-lang/crates.io-index)",
"dwrote 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)",
"euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)",
"foreign-types 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)",
"gleam 0.4.20 (registry+https://github.com/rust-lang/crates.io-index)",
"log 0.4.1 (registry+https://github.com/rust-lang/crates.io-index)",
@ -1844,7 +1835,6 @@ dependencies = [
"checksum encoding_rs 0.7.2 (registry+https://github.com/rust-lang/crates.io-index)" = "98fd0f24d1fb71a4a6b9330c8ca04cbd4e7cc5d846b54ca74ff376bc7c9f798d"
"checksum env_logger 0.4.3 (registry+https://github.com/rust-lang/crates.io-index)" = "3ddf21e73e016298f5cb37d6ef8e8da8e39f91f9ec8b0df44b7deb16a9f8cd5b"
"checksum error-chain 0.11.0 (registry+https://github.com/rust-lang/crates.io-index)" = "ff511d5dc435d703f4971bc399647c9bc38e20cb41452e3b9feb4765419ed3f3"
"checksum euclid 0.16.0 (registry+https://github.com/rust-lang/crates.io-index)" = "926c639bfdff1f3063f76bb66245f6d2b691aa20fdbaabecc38b2947a13a4eba"
"checksum euclid 0.17.0 (registry+https://github.com/rust-lang/crates.io-index)" = "b2744c002882c67d0f6d6e8cfdf16eae729dc27744d312745132e62218b7de5c"
"checksum fnv 1.0.5 (registry+https://github.com/rust-lang/crates.io-index)" = "6cc484842f1e2884faf56f529f960cc12ad8c71ce96cc7abba0a067c98fee344"
"checksum foreign-types 0.3.0 (registry+https://github.com/rust-lang/crates.io-index)" = "5ebc04f19019fff1f2d627b5581574ead502f80c48c88900575a46e0840fe5d0"
@ -1902,7 +1892,7 @@ dependencies = [
"checksum phf_generator 0.7.21 (registry+https://github.com/rust-lang/crates.io-index)" = "6b07ffcc532ccc85e3afc45865469bf5d9e4ef5bfcf9622e3cfe80c2d275ec03"
"checksum phf_shared 0.7.21 (registry+https://github.com/rust-lang/crates.io-index)" = "07e24b0ca9643bdecd0632f2b3da6b1b89bbb0030e0b992afc1113b23a7bc2f2"
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