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
165
166
167
168
169
170
171
172
173
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//    http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

/// Identifies type which have a _maximum_ value (e.g. `u32`, etc).
pub trait Max {
    const MAX: Self;
}

/// Identifies type which have a _minimum_ value (e.g. `u32`, etc).
pub trait Min {
    const MIN: Self;
}

pub trait OverflowingAdd: Sized {
    fn overflowing_add(self, rhs: Self) -> (Self, bool);
}

pub trait OverflowingSub: Sized {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool);
}

// ==================================================================
// U8
// ==================================================================

impl Max for u8 {
    const MAX: u8 = u8::MAX;
}

impl Min for u8 {
    const MIN: u8 = u8::MIN;
}

impl OverflowingAdd for u8 {
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
}

impl OverflowingSub for u8 {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
        self.overflowing_sub(rhs)
    }
}

// ==================================================================
// U16
// ==================================================================

impl Max for u16 {
    const MAX: u16 = u16::MAX;
}

impl Min for u16 {
    const MIN: u16 = u16::MIN;
}

impl OverflowingAdd for u16 {
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
}

impl OverflowingSub for u16 {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
        self.overflowing_sub(rhs)
    }
}

// ==================================================================
// U32
// ==================================================================

impl Max for u32 {
    const MAX: u32 = u32::MAX;
}

impl Min for u32 {
    const MIN: u32 = u32::MIN;
}

impl OverflowingAdd for u32 {
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
}

impl OverflowingSub for u32 {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
        self.overflowing_sub(rhs)
    }
}

// ==================================================================
// U64
// ==================================================================

impl Max for u64 {
    const MAX: u64 = u64::MAX;
}

impl Min for u64 {
    const MIN: u64 = u64::MIN;
}

impl OverflowingAdd for u64 {
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
}

impl OverflowingSub for u64 {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
        self.overflowing_sub(rhs)
    }
}

// ==================================================================
// U128
// ==================================================================

impl Max for u128 {
    const MAX: u128 = u128::MAX;
}

impl Min for u128 {
    const MIN: u128 = u128::MIN;
}

impl OverflowingAdd for u128 {
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
}

impl OverflowingSub for u128 {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
        self.overflowing_sub(rhs)
    }
}

// ==================================================================
// USIZE
// ==================================================================

impl Max for usize {
    const MAX: usize = usize::MAX;
}

impl Min for usize {
    const MIN: usize = usize::MIN;
}

impl OverflowingAdd for usize {
    fn overflowing_add(self, rhs: Self) -> (Self, bool) {
        self.overflowing_add(rhs)
    }
}

impl OverflowingSub for usize {
    fn overflowing_sub(self, rhs: Self) -> (Self, bool) {
        self.overflowing_sub(rhs)
    }
}