2014-05-26 17:10:04 +00:00
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// Copyright 2013-2014 The CGMath Developers. For a full listing of the authors,
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// refer to the AUTHORS file at the top-level directory of this distribution.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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use approx::ApproxEq;
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use std::cmp;
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use std::fmt;
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2015-01-07 22:34:42 +00:00
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use std::num::{Float, Int, NumCast};
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2015-01-03 21:29:26 +00:00
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use std::ops::*;
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2014-05-26 17:10:04 +00:00
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2014-08-16 04:51:09 +00:00
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/// A trait providing a [partial ordering](http://mathworld.wolfram.com/PartialOrder.html).
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2014-05-26 17:10:04 +00:00
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pub trait PartialOrd {
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fn partial_min(self, other: Self) -> Self;
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fn partial_max(self, other: Self) -> Self;
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}
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macro_rules! partial_ord_int (
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($T:ident) => (
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impl PartialOrd for $T {
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fn partial_min(self, other: $T) -> $T { cmp::min(self, other) }
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fn partial_max(self, other: $T) -> $T { cmp::max(self, other) }
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}
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)
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2014-12-19 17:48:59 +00:00
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);
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2015-01-09 23:16:39 +00:00
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partial_ord_int!(isize);
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2014-12-19 17:48:59 +00:00
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partial_ord_int!(i8);
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partial_ord_int!(i16);
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partial_ord_int!(i32);
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partial_ord_int!(i64);
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2015-01-09 23:16:39 +00:00
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partial_ord_int!(usize);
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2014-12-19 17:48:59 +00:00
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partial_ord_int!(u8);
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partial_ord_int!(u16);
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partial_ord_int!(u32);
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partial_ord_int!(u64);
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2014-05-26 17:10:04 +00:00
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macro_rules! partial_ord_float (
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($T:ident) => (
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impl PartialOrd for $T {
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fn partial_min(self, other: $T) -> $T { self.min(other) }
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fn partial_max(self, other: $T) -> $T { self.max(other) }
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}
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)
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2014-12-19 17:48:59 +00:00
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);
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2014-05-26 17:10:04 +00:00
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2014-12-19 17:48:59 +00:00
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partial_ord_float!(f32);
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partial_ord_float!(f64);
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2014-05-26 17:10:04 +00:00
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2014-11-20 15:28:02 +00:00
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/// Additive neutral element
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pub trait Zero {
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fn zero() -> Self;
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fn is_zero(&self) -> bool;
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}
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/// Multiplicative neutral element
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pub trait One {
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fn one() -> Self;
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}
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2014-05-26 17:10:04 +00:00
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/// Base numeric types with partial ordering
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2014-11-20 15:28:02 +00:00
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pub trait BaseNum:
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2015-01-05 01:56:01 +00:00
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Copy + NumCast + Clone + Add<Output=Self> + Sub<Output=Self> +
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Mul<Output=Self> + Div<Output=Self> + Rem<Output=Self> + Neg<Output=Self> + PartialEq
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2015-01-23 23:01:24 +00:00
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+ PartialOrd + cmp::PartialOrd + fmt::Debug + Zero + One
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2014-11-20 15:28:02 +00:00
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{}
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macro_rules! impl_basenum_int (
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($T: ident) => (
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impl BaseNum for $T {}
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impl Zero for $T {
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fn zero() -> $T {
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Int::zero()
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}
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fn is_zero(&self) -> bool {
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*self == Int::zero()
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}
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}
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impl One for $T {
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fn one() -> $T {
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Int::one()
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}
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}
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)
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2014-12-19 17:48:59 +00:00
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);
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2014-11-20 15:28:02 +00:00
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2014-12-19 17:48:59 +00:00
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impl_basenum_int!(i8);
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impl_basenum_int!(i16);
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impl_basenum_int!(i32);
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impl_basenum_int!(i64);
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impl_basenum_int!(u8);
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impl_basenum_int!(u16);
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impl_basenum_int!(u32);
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impl_basenum_int!(u64);
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2015-01-09 23:16:39 +00:00
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impl_basenum_int!(isize);
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impl_basenum_int!(usize);
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2014-11-20 15:28:02 +00:00
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macro_rules! impl_basenum_float (
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($T: ident) => (
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impl BaseNum for $T {}
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impl Zero for $T {
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fn zero() -> $T {
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Float::zero()
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}
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fn is_zero(&self) -> bool {
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*self == Float::zero()
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}
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}
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impl One for $T {
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fn one() -> $T {
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Float::one()
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}
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}
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)
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2014-12-19 17:48:59 +00:00
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);
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2014-11-20 15:28:02 +00:00
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2014-12-19 17:48:59 +00:00
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impl_basenum_float!(f32);
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impl_basenum_float!(f64);
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2014-11-20 15:28:02 +00:00
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pub fn zero<T: Zero>() -> T {
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Zero::zero()
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}
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pub fn one<T: One>() -> T {
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One::one()
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}
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2014-05-26 17:10:04 +00:00
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/// Base integer types
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pub trait BaseInt : BaseNum + Int {}
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impl BaseInt for i8 {}
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impl BaseInt for i16 {}
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impl BaseInt for i32 {}
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impl BaseInt for i64 {}
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2015-01-09 23:16:39 +00:00
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impl BaseInt for isize {}
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2014-05-26 17:10:04 +00:00
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impl BaseInt for u8 {}
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impl BaseInt for u16 {}
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impl BaseInt for u32 {}
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impl BaseInt for u64 {}
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2015-01-09 23:16:39 +00:00
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impl BaseInt for usize {}
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2014-05-26 17:10:04 +00:00
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/// Base floating point types
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2015-01-07 22:34:42 +00:00
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pub trait BaseFloat : BaseNum + Float + ApproxEq<Self> {}
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2014-05-26 17:10:04 +00:00
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impl BaseFloat for f32 {}
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impl BaseFloat for f64 {}
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