Added the Zero and One traits to sigils.

It looks like these may be removed from the standard library soon.

src/integer.rs

@@ -22,7 +22,7 @@ use super::number::Number;
 /// [10]: https://doc.rust-lang.org/std/primitive.i64.html
 /// [11]: https://doc.rust-lang.org/std/primitive.isize.html
 /// [12]: https://doc.rust-lang.org/std/index.html
-pub trait Integer : Number
+pub trait Integer: Number
 {
 }
 

src/lib.rs

@@ -2,11 +2,12 @@
 //! License: Proprietary
 //!
 //!
-#![feature(zero_one)]
 #![feature(float_extras)]
 #![feature(associated_consts)]
 
 
+mod zero;
+mod one;
 mod bounded;
 mod number;
 mod whole;
@@ -20,6 +21,8 @@ pub mod matrix;
 pub mod quaternion;
 
 
+pub use self::zero::Zero;
+pub use self::one::One;
 pub use self::number::Number;
 pub use self::whole::Whole;
 pub use self::integer::Integer;

src/matrix.rs

@@ -1,9 +1,10 @@
 //! This module defines the 2x2, 3x3, and 4x4 Matrix structures.
-use std::num::{Zero, One};
 use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
 
-use super::number::Number;
-use super::vector::{Vector, Vector2, Vector3, Vector4};
+use ::zero::Zero;
+use ::one::One;
+use ::number::Number;
+use ::vector::{Vector, Vector2, Vector3, Vector4};
 
 
 /// A trait that defines the minimum set of

src/number.rs

@@ -1,17 +1,18 @@
 use std::cmp::PartialEq;
 use std::mem::size_of;
-use std::num::{Zero, One};
 use std::ops::{Add, Sub, Mul, Div, Rem};
 use std::str::FromStr;
 
-use super::bounded::Bounded;
+use ::zero::Zero;
+use ::one::One;
+use ::bounded::Bounded;
 
 
 /// A trait that defines what is required to be considered
 /// a number.
-pub trait Number : Zero + One + Add<Output=Self> + Sub<Output=Self> +
-                   Mul<Output=Self> + Div<Output=Self> + Rem<Output=Self> +
-                   PartialEq + Copy + Clone
+pub trait Number: Zero + One + Add<Output=Self> + Sub<Output=Self> +
+                  Mul<Output=Self> + Div<Output=Self> + Rem<Output=Self> +
+                  PartialEq + Copy + Clone
 {
    type StrRadixError;
 

src/one.rs

@@ -0,0 +1,54 @@
+use std::ops::Mul;
+
+/// Defines a multiplicative identity element for `Self`.
+pub trait One: Sized + Mul<Self, Output=Self>
+{
+   /// Returns the multiplicative identity element of `Self`, `1`.
+   ///
+   /// # Laws
+   ///
+   /// ```{.text}
+   /// a * 1 = a       ∀ a ∈ Self
+   /// 1 * a = a       ∀ a ∈ Self
+   /// ```
+   ///
+   /// # Purity
+   ///
+   /// This function should return the same result at all times regardless of
+   /// external mutable state, for example values stored in TLS or in
+   /// `static mut`s.
+   fn one() -> Self;
+}
+
+
+
+macro_rules! one_impl
+{
+   ($varType: ty, $val: expr) =>
+   {
+      impl One for $varType
+      {
+         fn one() -> $varType
+         {
+            $val
+         }
+      }
+   }
+}
+
+
+
+one_impl!(u8, 1u8);
+one_impl!(u16, 1u16);
+one_impl!(u32, 1u32);
+one_impl!(u64, 1u64);
+one_impl!(usize, 1usize);
+
+one_impl!(i8, 1i8);
+one_impl!(i16, 1i16);
+one_impl!(i32, 1i32);
+one_impl!(i64, 1i64);
+one_impl!(isize, 1isize);
+
+one_impl!(f32, 1.0f32);
+one_impl!(f64, 1.0f64);

src/quaternion.rs

@@ -3,11 +3,12 @@
 //!
 //! [1]: https://en.wikipedia.org/wiki/Quaternion
 //! [2]: https://en.wikipedia.org/wiki/Dual_quaternion
-use std::num::{Zero, One};
 use std::ops::{Add, Sub, Mul, Div, Neg};
 
-use super::real::Real;
-use super::vector::{Vector, EuclideanVector, Vector3};
+use ::zero::Zero;
+use ::one::One;
+use ::real::Real;
+use ::vector::{Vector, EuclideanVector, Vector3};
 
 
 /// A Quaternion is a combination of a scalar and a vector

src/vector.rs

@@ -1,12 +1,13 @@
 //! This module defines 2, 3, and 4 component [Vector][1] structures.
 //!
 //! [1]: https://en.wikipedia.org/wiki/Vector_(mathematics_and_physics)
-use std::num::{Zero, One};
 use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
 
-use super::number::Number;
-use super::real::Real;
-use super::trig::{acos, atan2};
+use ::zero::Zero;
+use ::one::One;
+use ::number::Number;
+use ::real::Real;
+use ::trig::{acos, atan2};
 
 
 /// A trait that defines the minimum set of

src/whole.rs

@@ -16,7 +16,7 @@ use super::number::Number;
 /// [5]: https://doc.rust-lang.org/std/primitive.u64.html
 /// [6]: https://doc.rust-lang.org/std/primitive.usize.html
 /// [7]: https://doc.rust-lang.org/std/index.html
-pub trait Whole : Number
+pub trait Whole: Number
 {
 }
 

src/zero.rs

@@ -0,0 +1,54 @@
+use std::ops::Add;
+
+/// Defines an additive identity element for `Self`.
+pub trait Zero: Sized + Add<Self, Output=Self>
+{
+   /// Returns the additive identity element of `Self`, `0`.
+   ///
+   /// # Laws
+   ///
+   /// ```{.text}
+   /// a + 0 = a       ∀ a ∈ Self
+   /// 0 + a = a       ∀ a ∈ Self
+   /// ```
+   ///
+   /// # Purity
+   ///
+   /// This function should return the same result at all times regardless of
+   /// external mutable state, for example values stored in TLS or in
+   /// `static mut`s.
+   fn zero() -> Self;
+}
+
+
+
+macro_rules! zero_impl
+{
+   ($varType: ty, $val: expr) =>
+   {
+      impl Zero for $varType
+      {
+         fn zero() -> $varType
+         {
+            $val
+         }
+      }
+   }
+}
+
+
+
+zero_impl!(u8, 0u8);
+zero_impl!(u16, 0u16);
+zero_impl!(u32, 0u32);
+zero_impl!(u64, 0u64);
+zero_impl!(usize, 0usize);
+
+zero_impl!(i8, 0i8);
+zero_impl!(i16, 0i16);
+zero_impl!(i32, 0i32);
+zero_impl!(i64, 0i64);
+zero_impl!(isize, 0isize);
+
+zero_impl!(f32, 0.0f32);
+zero_impl!(f64, 0.0f64);