src/types.rs

Tue, 06 Dec 2022 08:58:49 +0200

author
Tuomo Valkonen <tuomov@iki.fi>
date
Tue, 06 Dec 2022 08:58:49 +0200
changeset 16
703482dffd87
parent 13
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README improvements

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1 /*!
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2 Some useful (numerical) types and traits.
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3
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4 The traits are based on corresponding ones in [`num_traits`], but try to fill some gaps in the
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5 super-traits and available constants.
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6
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7 As [`nalgebra`] unnecessarily provides many of the same methods as [`num_traits`], to avoid having
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8 to refer to the methods with the full path, it is often necesary to use [`ToNalgebraRealField`][crate::nalgebra_support::ToNalgebraRealField] to hide the nalgebra implementations until
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9 absolutely necessary to use nalgebra.
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10 */
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11
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12 //use trait_set::trait_set;
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13 pub use num_traits::Float as NumTraitsFloat; // needed to re-export functions.
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14 pub use num_traits::cast::AsPrimitive;
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15
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16 /// Typical integer type
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17 #[allow(non_camel_case_types)]
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18 pub type int = i64;
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19
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20 /// Typical unsigned integer type
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21 #[allow(non_camel_case_types)]
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22 pub type uint = u64;
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23
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24 /// Typical floating point number type
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25 #[allow(non_camel_case_types)]
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26 pub type float = f64;
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27
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28 /// Casts of abstract numerical types to others via the standard `as` keyword.
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29 pub trait CastFrom<T : 'static + Copy> : num_traits::cast::AsPrimitive<T> {
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30 fn cast_from(other : T) -> Self;
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31 }
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32
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33 macro_rules! impl_casts {
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34 ($($type:ty)*) => { $(
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35 impl_casts!(@phase2, $type,
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36 u8 u16 u32 u64 u128 usize
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37 i8 i16 i32 i64 i128 isize
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38 f32 f64);
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39 )* };
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40 (@phase2, $type:ty, $($type2:ty)*) => { $(
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41 impl CastFrom<$type2> for $type {
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42 #[inline]
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43 fn cast_from(other : $type2) -> Self { other as $type }
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44 }
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45 )* };
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46 }
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47
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48 impl_casts!(u8 u16 u32 u64 u128 usize
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49 i8 i16 i32 i64 i128 isize
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50 f32 f64);
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51
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52 /// Trait for general numeric types
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53 pub trait Num : 'static + Copy + Sync + Send + num::Num + num_traits::NumAssign
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54 + std::iter::Sum + std::iter::Product
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55 + std::fmt::Debug + std::fmt::Display + serde::Serialize
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56 + CastFrom<u8> + CastFrom<u16> + CastFrom<u32> + CastFrom<u64>
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57 + CastFrom<u128> + CastFrom<usize>
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58 + CastFrom<i8> + CastFrom<i16> + CastFrom<i32> + CastFrom<i64>
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59 + CastFrom<i128> + CastFrom<isize>
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60 + CastFrom<f32> + CastFrom<f64> {
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61
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62 const ZERO : Self;
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63 const ONE : Self;
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64 const TWO : Self;
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65 /// Generic version of `Self::MAX`
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66 const RANGE_MAX : Self;
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67 /// Generic version of `Self::MIN`
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68 const RANGE_MIN : Self;
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69 }
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70
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71 /// Trait for signed numeric types
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72 pub trait SignedNum : Num + num::Signed + std::ops::Neg<Output=Self> {}
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73 impl<U : Num + num::Signed + std::ops::Neg<Output=Self>> SignedNum for U { }
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74
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75 /// Trait for floating point numbers
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76 pub trait Float : SignedNum + num::Float /*+ From<Self::CompatibleSize>*/ {
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77 // An unsigned integer that can be used for indexing operations and
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78 // converted to F without loss.
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79 //type CompatibleSize : CompatibleUnsigned<Self>;
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80
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81 const PI : Self;
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82 const E : Self;
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83 const EPSILON : Self;
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84 const SQRT_2 : Self;
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85 const INFINITY : Self;
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86 const NEG_INFINITY : Self;
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87 const FRAC_2_SQRT_PI : Self;
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88 }
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89
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90 /// Trait for integers
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91 pub trait Integer : Num + num::Integer {}
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92
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93 /// Trait for unsigned integers
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94 pub trait Unsigned : Num + Integer + num::Unsigned {}
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95
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96 /// Trait for signed integers
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97 pub trait Signed : SignedNum + Integer {}
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98
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99 macro_rules! impl_num_consts {
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100 ($($type:ty)*) => { $(
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101 impl Num for $type {
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102 const ZERO : Self = 0 as $type;
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103 const ONE : Self = 1 as $type;
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104 const TWO : Self = 2 as $type;
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105 const RANGE_MAX : Self = <$type>::MAX;
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106 const RANGE_MIN : Self = <$type>::MIN;
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107 }
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108 )* }
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109 }
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110
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111 macro_rules! impl_integers {
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112 ($signed:ty : $($type:ty)*) => { $(
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113 impl_num_consts!($type);
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114 impl Integer for $type {}
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115 impl $signed for $type {}
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116 )* }
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117 }
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118
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119 impl_integers!(Signed: i8 i16 i32 i64 i128 isize);
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120 impl_integers!(Unsigned: u8 u16 u32 u64 u128 usize);
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121
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122 impl_num_consts!(f32 f64);
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123
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124 impl Float for f64 {
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125 /*#[cfg(any(target_pointer_width = "128", target_pointer_width = "64"))]
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126 type CompatibleSize = u32;
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127 #[cfg(any(target_pointer_width = "32", target_pointer_width = "16"))]
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128 type CompatibleSize = usize;*/
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129
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130 const PI : Self = std::f64::consts::PI;
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131 const E : Self = std::f64::consts::E;
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132 const EPSILON : Self = std::f64::EPSILON;
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133 const SQRT_2 : Self = std::f64::consts::SQRT_2;
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134 const INFINITY : Self = std::f64::INFINITY;
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135 const NEG_INFINITY : Self = std::f64::NEG_INFINITY;
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136 const FRAC_2_SQRT_PI : Self = std::f64::consts::FRAC_2_SQRT_PI;
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137 }
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138
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139 impl Float for f32 {
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140 /*
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141 #[cfg(any(target_pointer_width = "128", target_pointer_width = "64", target_pointer_width = "32"))]
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142 type CompatibleSize = u16;
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143 #[cfg(any(target_pointer_width = "16"))]
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144 type CompatibleSize = usize;
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145 */
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146
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147 const PI : Self = std::f32::consts::PI;
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148 const E : Self = std::f32::consts::E;
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149 const EPSILON : Self = std::f32::EPSILON;
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150 const SQRT_2 : Self = std::f32::consts::SQRT_2;
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151 const INFINITY : Self = std::f32::INFINITY;
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152 const NEG_INFINITY : Self = std::f32::NEG_INFINITY;
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153 const FRAC_2_SQRT_PI : Self = std::f32::consts::FRAC_2_SQRT_PI;
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154 }
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155
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156 /*
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157 trait_set! {
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158 pub trait CompatibleUnsigned<F : Float> = Unsigned + Into<F>;
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159 pub trait CompatibleSigned<F : Float> = Signed + Into<F>;
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160 }
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59dc4c5883f4 Improve documentation
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161 */
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465fa2121ccb Better Linear and Mapping structure that can provide consuming and reference `apply`.
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162

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