i_float 3.0.0

This fixed float math library provides an efficient and deterministic solution for arithmetic and geometric operations.
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164

use crate::int::number::product_uint::{CompositeUIntProduct, UIntProduct, UIntProduct64};
use core::fmt::Display;
use core::ops::{Add, AddAssign, BitAnd, BitOr, BitOrAssign, Div, Mul, Shl, ShlAssign, Shr, Sub};

pub trait UIntNumber:
    Copy
    + Clone
    + Ord
    + Send
    + Sync
    + Display
    + Add<Output = Self>
    + Sub<Output = Self>
    + Mul<Output = Self>
    + Div<Output = Self>
    + BitAnd<Output = Self>
    + BitOr<Output = Self>
    + BitOrAssign
    + Shl<u32, Output = Self>
    + Shr<u32, Output = Self>
    + ShlAssign
    + AddAssign
{
    type Product: UIntProduct<Self>;
    const BITS: u32;
    const HALF_BITS: u32;
    const HALF_MASK: Self;
    const LAST_BIT_INDEX: u32;
    const ZERO: Self;
    const ONE: Self;
    const MAX: Self;
    const LAST_BIT: Self;

    fn overflowing_add(self, rhs: Self) -> (Self, bool);
    fn from_u64(value: u64) -> Self;
    fn wrapping_sub(self, rhs: Self) -> Self;
    fn leading_zeros(self) -> u32;
    fn ilog2(self) -> u32;
    fn to_f64(self) -> f64;
}

impl UIntNumber for u32 {
    type Product = UIntProduct64;
    const BITS: u32 = 32;
    const HALF_BITS: u32 = 16;
    const HALF_MASK: Self = 0xFFFF;
    const LAST_BIT_INDEX: u32 = 31;
    const ZERO: Self = 0;
    const ONE: Self = 1;
    const MAX: Self = Self::MAX;
    const LAST_BIT: Self = Self::ONE << Self::LAST_BIT_INDEX;

    #[inline(always)]
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
    #[inline(always)]
    fn from_u64(value: u64) -> Self {
        value as Self
    }

    #[inline(always)]
    fn wrapping_sub(self, rhs: Self) -> Self {
        self.wrapping_sub(rhs)
    }

    #[inline(always)]
    fn leading_zeros(self) -> u32 {
        self.leading_zeros()
    }

    #[inline(always)]
    fn ilog2(self) -> u32 {
        self.ilog2()
    }

    #[inline(always)]
    fn to_f64(self) -> f64 {
        self as f64
    }
}

impl UIntNumber for u64 {
    type Product = CompositeUIntProduct<Self>;
    const BITS: u32 = 64;
    const HALF_BITS: u32 = 32;
    const HALF_MASK: Self = 0xFFFF_FFFF;
    const LAST_BIT_INDEX: u32 = 63;
    const ZERO: Self = 0;
    const ONE: Self = 1;
    const MAX: Self = Self::MAX;
    const LAST_BIT: Self = Self::ONE << Self::LAST_BIT_INDEX;

    #[inline(always)]
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }

    #[inline(always)]
    fn from_u64(value: u64) -> Self {
        value
    }

    #[inline(always)]
    fn wrapping_sub(self, rhs: Self) -> Self {
        self.wrapping_sub(rhs)
    }

    #[inline(always)]
    fn leading_zeros(self) -> u32 {
        self.leading_zeros()
    }

    #[inline(always)]
    fn ilog2(self) -> u32 {
        self.ilog2()
    }

    #[inline(always)]
    fn to_f64(self) -> f64 {
        self as f64
    }
}

impl UIntNumber for u128 {
    type Product = CompositeUIntProduct<Self>;
    const BITS: u32 = 128;
    const HALF_BITS: u32 = 64;
    const HALF_MASK: Self = 0xFFFF_FFFF_FFFF_FFFF;
    const LAST_BIT_INDEX: u32 = 127;
    const ZERO: Self = 0;
    const ONE: Self = 1;
    const MAX: Self = Self::MAX;
    const LAST_BIT: Self = Self::ONE << Self::LAST_BIT_INDEX;
    #[inline(always)]
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }

    #[inline(always)]
    fn from_u64(value: u64) -> Self {
        value as Self
    }

    #[inline(always)]
    fn wrapping_sub(self, rhs: Self) -> Self {
        self.wrapping_sub(rhs)
    }

    #[inline(always)]
    fn leading_zeros(self) -> u32 {
        self.leading_zeros()
    }

    #[inline(always)]
    fn ilog2(self) -> u32 {
        self.ilog2()
    }

    #[inline(always)]
    fn to_f64(self) -> f64 {
        self as f64
    }
}