2012-11-15 02:23:39 +00:00
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use core::cmp::{Eq, Ord};
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2012-12-03 01:10:14 +00:00
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use std::cmp::FuzzyEq;
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2012-11-15 02:23:39 +00:00
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2012-12-03 01:10:14 +00:00
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use num::cast::NumCast;
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use num::default_eq::DefaultEq;
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2012-11-15 02:23:39 +00:00
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2012-12-03 01:10:14 +00:00
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pub trait Number: DefaultEq, Eq, Num, NumCast, Ord {
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2012-12-02 06:59:03 +00:00
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static pure fn zero() -> self;
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static pure fn one() -> self;
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}
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2012-12-03 01:10:14 +00:00
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pub impl u8: Number {
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#[inline(always)] static pure fn zero() -> u8 { 0u8 }
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#[inline(always)] static pure fn one() -> u8 { 1u8 }
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}
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pub impl u16: Number {
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#[inline(always)] static pure fn zero() -> u16 { 0u16 }
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#[inline(always)] static pure fn one() -> u16 { 1u16 }
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}
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pub impl u32: Number {
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#[inline(always)] static pure fn zero() -> u32 { 0u32 }
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#[inline(always)] static pure fn one() -> u32 { 1u32 }
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}
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pub impl u64: Number {
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#[inline(always)] static pure fn zero() -> u64 { 0u64 }
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#[inline(always)] static pure fn one() -> u64 { 1u64 }
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}
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pub impl uint: Number {
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#[inline(always)] static pure fn zero() -> uint { 0u }
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#[inline(always)] static pure fn one() -> uint { 1u }
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}
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pub impl i8: Number {
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#[inline(always)] static pure fn zero() -> i8 { 0i8 }
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#[inline(always)] static pure fn one() -> i8 { 1i8 }
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}
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pub impl i16: Number {
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#[inline(always)] static pure fn zero() -> i16 { 0i16 }
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#[inline(always)] static pure fn one() -> i16 { 1i16 }
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}
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pub impl i32: Number {
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#[inline(always)] static pure fn zero() -> i32 { 0i32 }
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#[inline(always)] static pure fn one() -> i32 { 1i32 }
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}
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pub impl i64: Number {
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#[inline(always)] static pure fn zero() -> i64 { 0i64 }
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#[inline(always)] static pure fn one() -> i64 { 1i64 }
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}
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pub impl int: Number {
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#[inline(always)] static pure fn zero() -> int { 0 }
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#[inline(always)] static pure fn one() -> int { 1 }
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}
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pub impl f32: Number {
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#[inline(always)] static pure fn zero() -> f32 { 0f32 }
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#[inline(always)] static pure fn one() -> f32 { 1f32 }
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}
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pub impl f64: Number {
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#[inline(always)] static pure fn zero() -> f64 { 0f64 }
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#[inline(always)] static pure fn one() -> f64 { 1f64 }
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}
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pub impl float: Number {
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#[inline(always)] static pure fn zero() -> float { 0f }
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#[inline(always)] static pure fn one() -> float { 1f }
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}
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2012-12-02 06:59:03 +00:00
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2012-12-03 01:10:14 +00:00
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pub trait UnSigned: Number {}
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2012-12-02 06:59:03 +00:00
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pub impl u8: UnSigned {}
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pub impl u16: UnSigned {}
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pub impl u32: UnSigned {}
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pub impl u64: UnSigned {}
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pub impl uint: UnSigned {}
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2012-12-03 01:10:14 +00:00
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pub trait Signed: Number {}
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2012-12-02 06:59:03 +00:00
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pub impl i8: Signed {}
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pub impl i16: Signed {}
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pub impl i32: Signed {}
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pub impl i64: Signed {}
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pub impl int: Signed {}
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pub impl f32: Signed {}
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pub impl f64: Signed {}
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pub impl float: Signed {}
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2012-12-03 01:10:14 +00:00
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pub trait Integer: Number {}
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2012-12-02 06:59:03 +00:00
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pub impl u8: Integer {}
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pub impl u16: Integer {}
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pub impl u32: Integer {}
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pub impl u64: Integer {}
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pub impl uint: Integer {}
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pub impl i8: Integer {}
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pub impl i16: Integer {}
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pub impl i32: Integer {}
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pub impl i64: Integer {}
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pub impl int: Integer {}
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2012-12-03 01:10:14 +00:00
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pub trait Float: Number, FuzzyEq {
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2012-12-02 06:59:03 +00:00
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pure fn to_float() -> float;
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static pure fn from_float(n: float) -> self;
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static pure fn two_pi() -> self; /// 2 * π
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static pure fn pi() -> self; /// π
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static pure fn pi_2() -> self; /// π / 2
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static pure fn pi_3() -> self; /// π / 3
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static pure fn pi_4() -> self; /// π / 4
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static pure fn pi_6() -> self; /// π / 6
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static pure fn pi_8() -> self; /// π / 8
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static pure fn frac_pi_2() -> self;
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static pure fn frac_pi_4() -> self;
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static pure fn frac_1_pi() -> self;
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static pure fn frac_2_pi() -> self;
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static pure fn frac_2_sqrtpi() -> self;
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static pure fn sqrt2() -> self;
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static pure fn frac_1_sqrt2() -> self;
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static pure fn e() -> self;
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static pure fn log2_e() -> self;
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static pure fn log10_e() -> self;
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static pure fn ln_2() -> self;
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static pure fn ln_10() -> self;
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}
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pub impl f32: Float {
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#[inline(always)] pure fn to_float() -> float { self as float }
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#[inline(always)] static pure fn from_float(n: float) -> f32 { n as f32 }
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#[inline(always)] static pure fn two_pi() -> f32 { 6.28318530717958647692528676655900576_f32 }
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#[inline(always)] static pure fn pi() -> f32 { 3.14159265358979323846264338327950288_f32 }
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#[inline(always)] static pure fn pi_2() -> f32 { 1.57079632679489661923132169163975144_f32 }
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#[inline(always)] static pure fn pi_3() -> f32 { 1.04719755119659774615421446109316763_f32 }
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#[inline(always)] static pure fn pi_4() -> f32 { 0.78539816339744830961566084581987572_f32 }
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#[inline(always)] static pure fn pi_6() -> f32 { 0.52359877559829887307710723054658381_f32 }
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#[inline(always)] static pure fn pi_8() -> f32 { 0.39269908169872415480783042290993786_f32 }
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#[inline(always)] static pure fn frac_pi_2() -> f32 { 1.57079632679489661923132169163975144_f32 }
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#[inline(always)] static pure fn frac_pi_4() -> f32 { 0.785398163397448309615660845819875721_f32 }
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#[inline(always)] static pure fn frac_1_pi() -> f32 { 0.318309886183790671537767526745028724_f32 }
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#[inline(always)] static pure fn frac_2_pi() -> f32 { 0.636619772367581343075535053490057448_f32 }
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#[inline(always)] static pure fn frac_2_sqrtpi() -> f32 { 1.12837916709551257389615890312154517_f32 }
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#[inline(always)] static pure fn sqrt2() -> f32 { 1.41421356237309504880168872420969808_f32 }
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#[inline(always)] static pure fn frac_1_sqrt2() -> f32 { 0.707106781186547524400844362104849039_f32 }
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#[inline(always)] static pure fn e() -> f32 { 2.71828182845904523536028747135266250_f32 }
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#[inline(always)] static pure fn log2_e() -> f32 { 1.44269504088896340735992468100189214_f32 }
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#[inline(always)] static pure fn log10_e() -> f32 { 0.434294481903251827651128918916605082_f32 }
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#[inline(always)] static pure fn ln_2() -> f32 { 0.693147180559945309417232121458176568_f32 }
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#[inline(always)] static pure fn ln_10() -> f32 { 2.30258509299404568401799145468436421_f32 }
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}
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pub impl f64: Float {
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#[inline(always)] pure fn to_float() -> float { self as float }
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#[inline(always)] static pure fn from_float(n: float) -> f64 { n as f64 }
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#[inline(always)] static pure fn two_pi() -> f64 { 6.28318530717958647692528676655900576_f64 }
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#[inline(always)] static pure fn pi() -> f64 { 3.14159265358979323846264338327950288_f64 }
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#[inline(always)] static pure fn pi_2() -> f64 { 1.57079632679489661923132169163975144_f64 }
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#[inline(always)] static pure fn pi_3() -> f64 { 1.04719755119659774615421446109316763_f64 }
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#[inline(always)] static pure fn pi_4() -> f64 { 0.78539816339744830961566084581987572_f64 }
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#[inline(always)] static pure fn pi_6() -> f64 { 0.52359877559829887307710723054658381_f64 }
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#[inline(always)] static pure fn pi_8() -> f64 { 0.39269908169872415480783042290993786_f64 }
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#[inline(always)] static pure fn frac_pi_2() -> f64 { 1.57079632679489661923132169163975144_f64 }
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#[inline(always)] static pure fn frac_pi_4() -> f64 { 0.785398163397448309615660845819875721_f64 }
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#[inline(always)] static pure fn frac_1_pi() -> f64 { 0.318309886183790671537767526745028724_f64 }
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#[inline(always)] static pure fn frac_2_pi() -> f64 { 0.636619772367581343075535053490057448_f64 }
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#[inline(always)] static pure fn frac_2_sqrtpi() -> f64 { 1.12837916709551257389615890312154517_f64 }
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#[inline(always)] static pure fn sqrt2() -> f64 { 1.41421356237309504880168872420969808_f64 }
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#[inline(always)] static pure fn frac_1_sqrt2() -> f64 { 0.707106781186547524400844362104849039_f64 }
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#[inline(always)] static pure fn e() -> f64 { 2.71828182845904523536028747135266250_f64 }
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#[inline(always)] static pure fn log2_e() -> f64 { 1.44269504088896340735992468100189214_f64 }
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#[inline(always)] static pure fn log10_e() -> f64 { 0.434294481903251827651128918916605082_f64 }
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#[inline(always)] static pure fn ln_2() -> f64 { 0.693147180559945309417232121458176568_f64 }
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#[inline(always)] static pure fn ln_10() -> f64 { 2.30258509299404568401799145468436421_f64 }
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}
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pub impl float: Float {
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#[inline(always)] pure fn to_float() -> float { self }
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#[inline(always)] static pure fn from_float(n: float) -> float { n }
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#[inline(always)] static pure fn two_pi() -> float { 6.28318530717958647692528676655900576 }
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#[inline(always)] static pure fn pi() -> float { 3.14159265358979323846264338327950288 }
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#[inline(always)] static pure fn pi_2() -> float { 1.57079632679489661923132169163975144 }
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#[inline(always)] static pure fn pi_3() -> float { 1.04719755119659774615421446109316763 }
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#[inline(always)] static pure fn pi_4() -> float { 0.78539816339744830961566084581987572 }
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#[inline(always)] static pure fn pi_6() -> float { 0.52359877559829887307710723054658381 }
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#[inline(always)] static pure fn pi_8() -> float { 0.39269908169872415480783042290993786 }
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#[inline(always)] static pure fn frac_pi_2() -> float { 1.57079632679489661923132169163975144 }
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#[inline(always)] static pure fn frac_pi_4() -> float { 0.785398163397448309615660845819875721 }
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#[inline(always)] static pure fn frac_1_pi() -> float { 0.318309886183790671537767526745028724 }
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#[inline(always)] static pure fn frac_2_pi() -> float { 0.636619772367581343075535053490057448 }
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#[inline(always)] static pure fn frac_2_sqrtpi() -> float { 1.12837916709551257389615890312154517 }
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#[inline(always)] static pure fn sqrt2() -> float { 1.41421356237309504880168872420969808 }
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#[inline(always)] static pure fn frac_1_sqrt2() -> float { 0.707106781186547524400844362104849039 }
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#[inline(always)] static pure fn e() -> float { 2.71828182845904523536028747135266250 }
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#[inline(always)] static pure fn log2_e() -> float { 1.44269504088896340735992468100189214 }
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#[inline(always)] static pure fn log10_e() -> float { 0.434294481903251827651128918916605082 }
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#[inline(always)] static pure fn ln_2() -> float { 0.693147180559945309417232121458176568 }
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#[inline(always)] static pure fn ln_10() -> float { 2.30258509299404568401799145468436421 }
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}
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