Crate aint

Aint is a crate implementing integers of non-standard bit widths between 1 and 127. These integer types are represented by the next largest built-in Rust integer, but are bounded to the range and behaviors of the advertised bit width. That is, T::MIN and T::MAX, are what would be expected for the integer T with N bits, and similarly, wrapping, saturating, and overflow behaviors match what would be expected for a hypothetical built-in integer T with N bits.

Example

fn add(a: i13, b: i13) -> i13 {
    a + b
}

let x = i13!(100);
let y = add(x, i13!(-42));
assert_eq!(y, i13!(58));

The core implementation type is Aint<R, const WIDTH: u32>, which accepts a representation type, R, and a bit width, WIDTH. Aint is intended to primarily be an implementation detail, not to be used directly. Instead, it is preferred to use the type aliases provided by this crate.

If Aint is used directly, it will only permit generic parameters that match one of the existing type aliases provided by this crate. For example, the type i24 is an alias of Aint<i32, 24>. In theory, Aint<i64, 24> would be equivalent in functionality, but will result in a compile time error if instantiated. This prevents the existence multiple Aints that are functionally the same but are incompatible types to the compiler.

Byte Wide Types

Integer types that have an exact byte width provide additional methods and functionality that other integer types do not. These are types whose width is a multiple of 8, such as i24 (3 bytes), u56 (7 bytes), and u120 (15 bytes). Such types provide the byte and endianness manipulation APIs that built-in Rust integers provide, such as T::from_be_bytes, T::swap_bytes, and T::to_le. Other integer types do not implement these methods since their meaning becomes ambiguous or perhaps even nonsensical.

Conversions

All integer types provided by this crate implement traits to convert to and from all built-in Rust integer types. A conversion will be implemented as From when the conversion is infallible, and TryFrom when the conversion can fail. For example, converting from i4 to i8 is implemented as impl From<i4> for i8, but the reverse conversion is implemented as impl TryFrom<i8> for i4.

Unfortunately, this crate does not provide the same conversions between each of the pairs of types provided, such as i4 to i13. Existing blanket implmentations on the standard conversion traits prevent a generic implementation of these traits that would cover all the types provided by this crate, and implementing conversions for each pair of types individually is infeasible due to extreme compiliation times, since each pair would result on the order of 128² trait implementations.

This crate also provides two alternate conversion traits that perform infallible, but potentially lossy, conversions: WrappingFrom/WrappingInto and SaturatingFrom/SaturatingInto. These are implemented for all combinations of built-in integers and integers provided by this crate. See each trait’s documentation for more details.

Concatenation and Splitting

This crate also provides two traits for concatenating and spliting integers bitwise: BitConcat and BitSplit. Any pair of two integer types can be concatenated as long as their combined bit width is at most 128, and any integer can be split bitwise into any two integers whose combined bit width equals the bit width of the original integer.

let x: u16 = 0b0101010100101_101;
let (x1, x2): (i13, u3) = x.bit_split();
let y = u16::bit_concat(x1, x2);

assert_eq!(x, y);
assert_eq!(x1, i13!(0b0101010100101));
assert_eq!(x2, u3!(0b101));

Macros

Each integer type provided by this crate comes with macro for constructing these types from literals. Built-in integers can have typed literals, such as 42u8 or -7i64. The macros provided by this crate perform a similar function. u13!(100) is essentially a u13 literal with the value 100. The values provided to these macros are also checked at compile time to ensure that they are valid for the type. For example, u4!(100), would result in a compile time error, because u4 can only represent values from 0 to 15, inclusive.

Features

This crate has two non-default features, serde and num, which enable compaitbility with the serde and num crates.

Enabling the serde feature will provide implementations of serde::Serialize and serde::Deserialize for each integer type in this crate.

Enabling the num feature will provide implementations of all appropriate traits from the [num_traits] and [num_integer] crates under the num family of crates.

[dependencies]
aint = { version = "0.1", features = [ "serde", "num" ] }

no_std

This crate is also #![no_std]. Unlike some other crates, this crate does not have a std (or no_std) feature - it simply never uses or needs libstd. Additionally, this crate does not use alloc either. libcore is the only required dependency, and the crates pulled in by the serde and num features are also no_std compatible.

Macros

• bit
  Returns a bit checked at compile time.
• i1
  Returns a i1 checked at compile time.
• i2
  Returns a i2 checked at compile time.
• i3
  Returns a i3 checked at compile time.
• i4
  Returns a i4 checked at compile time.
• i5
  Returns a i5 checked at compile time.
• i6
  Returns a i6 checked at compile time.
• i7
  Returns a i7 checked at compile time.
• i8
  Returns a i8 checked at compile time.
• i9
  Returns a i9 checked at compile time.
• i10
  Returns a i10 checked at compile time.
• i11
  Returns a i11 checked at compile time.
• i12
  Returns a i12 checked at compile time.
• i13
  Returns a i13 checked at compile time.
• i14
  Returns a i14 checked at compile time.
• i15
  Returns a i15 checked at compile time.
• i16
  Returns a i16 checked at compile time.
• i17
  Returns a i17 checked at compile time.
• i18
  Returns a i18 checked at compile time.
• i19
  Returns a i19 checked at compile time.
• i20
  Returns a i20 checked at compile time.
• i21
  Returns a i21 checked at compile time.
• i22
  Returns a i22 checked at compile time.
• i23
  Returns a i23 checked at compile time.
• i24
  Returns a i24 checked at compile time.
• i25
  Returns a i25 checked at compile time.
• i26
  Returns a i26 checked at compile time.
• i27
  Returns a i27 checked at compile time.
• i28
  Returns a i28 checked at compile time.
• i29
  Returns a i29 checked at compile time.
• i30
  Returns a i30 checked at compile time.
• i31
  Returns a i31 checked at compile time.
• i32
  Returns a i32 checked at compile time.
• i33
  Returns a i33 checked at compile time.
• i34
  Returns a i34 checked at compile time.
• i35
  Returns a i35 checked at compile time.
• i36
  Returns a i36 checked at compile time.
• i37
  Returns a i37 checked at compile time.
• i38
  Returns a i38 checked at compile time.
• i39
  Returns a i39 checked at compile time.
• i40
  Returns a i40 checked at compile time.
• i41
  Returns a i41 checked at compile time.
• i42
  Returns a i42 checked at compile time.
• i43
  Returns a i43 checked at compile time.
• i44
  Returns a i44 checked at compile time.
• i45
  Returns a i45 checked at compile time.
• i46
  Returns a i46 checked at compile time.
• i47
  Returns a i47 checked at compile time.
• i48
  Returns a i48 checked at compile time.
• i49
  Returns a i49 checked at compile time.
• i50
  Returns a i50 checked at compile time.
• i51
  Returns a i51 checked at compile time.
• i52
  Returns a i52 checked at compile time.
• i53
  Returns a i53 checked at compile time.
• i54
  Returns a i54 checked at compile time.
• i55
  Returns a i55 checked at compile time.
• i56
  Returns a i56 checked at compile time.
• i57
  Returns a i57 checked at compile time.
• i58
  Returns a i58 checked at compile time.
• i59
  Returns a i59 checked at compile time.
• i60
  Returns a i60 checked at compile time.
• i61
  Returns a i61 checked at compile time.
• i62
  Returns a i62 checked at compile time.
• i63
  Returns a i63 checked at compile time.
• i64
  Returns a i64 checked at compile time.
• i65
  Returns a i65 checked at compile time.
• i66
  Returns a i66 checked at compile time.
• i67
  Returns a i67 checked at compile time.
• i68
  Returns a i68 checked at compile time.
• i69
  Returns a i69 checked at compile time.
• i70
  Returns a i70 checked at compile time.
• i71
  Returns a i71 checked at compile time.
• i72
  Returns a i72 checked at compile time.
• i73
  Returns a i73 checked at compile time.
• i74
  Returns a i74 checked at compile time.
• i75
  Returns a i75 checked at compile time.
• i76
  Returns a i76 checked at compile time.
• i77
  Returns a i77 checked at compile time.
• i78
  Returns a i78 checked at compile time.
• i79
  Returns a i79 checked at compile time.
• i80
  Returns a i80 checked at compile time.
• i81
  Returns a i81 checked at compile time.
• i82
  Returns a i82 checked at compile time.
• i83
  Returns a i83 checked at compile time.
• i84
  Returns a i84 checked at compile time.
• i85
  Returns a i85 checked at compile time.
• i86
  Returns a i86 checked at compile time.
• i87
  Returns a i87 checked at compile time.
• i88
  Returns a i88 checked at compile time.
• i89
  Returns a i89 checked at compile time.
• i90
  Returns a i90 checked at compile time.
• i91
  Returns a i91 checked at compile time.
• i92
  Returns a i92 checked at compile time.
• i93
  Returns a i93 checked at compile time.
• i94
  Returns a i94 checked at compile time.
• i95
  Returns a i95 checked at compile time.
• i96
  Returns a i96 checked at compile time.
• i97
  Returns a i97 checked at compile time.
• i98
  Returns a i98 checked at compile time.
• i99
  Returns a i99 checked at compile time.
• i100
  Returns a i100 checked at compile time.
• i101
  Returns a i101 checked at compile time.
• i102
  Returns a i102 checked at compile time.
• i103
  Returns a i103 checked at compile time.
• i104
  Returns a i104 checked at compile time.
• i105
  Returns a i105 checked at compile time.
• i106
  Returns a i106 checked at compile time.
• i107
  Returns a i107 checked at compile time.
• i108
  Returns a i108 checked at compile time.
• i109
  Returns a i109 checked at compile time.
• i110
  Returns a i110 checked at compile time.
• i111
  Returns a i111 checked at compile time.
• i112
  Returns a i112 checked at compile time.
• i113
  Returns a i113 checked at compile time.
• i114
  Returns a i114 checked at compile time.
• i115
  Returns a i115 checked at compile time.
• i116
  Returns a i116 checked at compile time.
• i117
  Returns a i117 checked at compile time.
• i118
  Returns a i118 checked at compile time.
• i119
  Returns a i119 checked at compile time.
• i120
  Returns a i120 checked at compile time.
• i121
  Returns a i121 checked at compile time.
• i122
  Returns a i122 checked at compile time.
• i123
  Returns a i123 checked at compile time.
• i124
  Returns a i124 checked at compile time.
• i125
  Returns a i125 checked at compile time.
• i126
  Returns a i126 checked at compile time.
• i127
  Returns a i127 checked at compile time.
• i128
  Returns a i128 checked at compile time.
• u1
  Returns a u1 checked at compile time.
• u2
  Returns a u2 checked at compile time.
• u3
  Returns a u3 checked at compile time.
• u4
  Returns a u4 checked at compile time.
• u5
  Returns a u5 checked at compile time.
• u6
  Returns a u6 checked at compile time.
• u7
  Returns a u7 checked at compile time.
• u8
  Returns a u8 checked at compile time.
• u9
  Returns a u9 checked at compile time.
• u10
  Returns a u10 checked at compile time.
• u11
  Returns a u11 checked at compile time.
• u12
  Returns a u12 checked at compile time.
• u13
  Returns a u13 checked at compile time.
• u14
  Returns a u14 checked at compile time.
• u15
  Returns a u15 checked at compile time.
• u16
  Returns a u16 checked at compile time.
• u17
  Returns a u17 checked at compile time.
• u18
  Returns a u18 checked at compile time.
• u19
  Returns a u19 checked at compile time.
• u20
  Returns a u20 checked at compile time.
• u21
  Returns a u21 checked at compile time.
• u22
  Returns a u22 checked at compile time.
• u23
  Returns a u23 checked at compile time.
• u24
  Returns a u24 checked at compile time.
• u25
  Returns a u25 checked at compile time.
• u26
  Returns a u26 checked at compile time.
• u27
  Returns a u27 checked at compile time.
• u28
  Returns a u28 checked at compile time.
• u29
  Returns a u29 checked at compile time.
• u30
  Returns a u30 checked at compile time.
• u31
  Returns a u31 checked at compile time.
• u32
  Returns a u32 checked at compile time.
• u33
  Returns a u33 checked at compile time.
• u34
  Returns a u34 checked at compile time.
• u35
  Returns a u35 checked at compile time.
• u36
  Returns a u36 checked at compile time.
• u37
  Returns a u37 checked at compile time.
• u38
  Returns a u38 checked at compile time.
• u39
  Returns a u39 checked at compile time.
• u40
  Returns a u40 checked at compile time.
• u41
  Returns a u41 checked at compile time.
• u42
  Returns a u42 checked at compile time.
• u43
  Returns a u43 checked at compile time.
• u44
  Returns a u44 checked at compile time.
• u45
  Returns a u45 checked at compile time.
• u46
  Returns a u46 checked at compile time.
• u47
  Returns a u47 checked at compile time.
• u48
  Returns a u48 checked at compile time.
• u49
  Returns a u49 checked at compile time.
• u50
  Returns a u50 checked at compile time.
• u51
  Returns a u51 checked at compile time.
• u52
  Returns a u52 checked at compile time.
• u53
  Returns a u53 checked at compile time.
• u54
  Returns a u54 checked at compile time.
• u55
  Returns a u55 checked at compile time.
• u56
  Returns a u56 checked at compile time.
• u57
  Returns a u57 checked at compile time.
• u58
  Returns a u58 checked at compile time.
• u59
  Returns a u59 checked at compile time.
• u60
  Returns a u60 checked at compile time.
• u61
  Returns a u61 checked at compile time.
• u62
  Returns a u62 checked at compile time.
• u63
  Returns a u63 checked at compile time.
• u64
  Returns a u64 checked at compile time.
• u65
  Returns a u65 checked at compile time.
• u66
  Returns a u66 checked at compile time.
• u67
  Returns a u67 checked at compile time.
• u68
  Returns a u68 checked at compile time.
• u69
  Returns a u69 checked at compile time.
• u70
  Returns a u70 checked at compile time.
• u71
  Returns a u71 checked at compile time.
• u72
  Returns a u72 checked at compile time.
• u73
  Returns a u73 checked at compile time.
• u74
  Returns a u74 checked at compile time.
• u75
  Returns a u75 checked at compile time.
• u76
  Returns a u76 checked at compile time.
• u77
  Returns a u77 checked at compile time.
• u78
  Returns a u78 checked at compile time.
• u79
  Returns a u79 checked at compile time.
• u80
  Returns a u80 checked at compile time.
• u81
  Returns a u81 checked at compile time.
• u82
  Returns a u82 checked at compile time.
• u83
  Returns a u83 checked at compile time.
• u84
  Returns a u84 checked at compile time.
• u85
  Returns a u85 checked at compile time.
• u86
  Returns a u86 checked at compile time.
• u87
  Returns a u87 checked at compile time.
• u88
  Returns a u88 checked at compile time.
• u89
  Returns a u89 checked at compile time.
• u90
  Returns a u90 checked at compile time.
• u91
  Returns a u91 checked at compile time.
• u92
  Returns a u92 checked at compile time.
• u93
  Returns a u93 checked at compile time.
• u94
  Returns a u94 checked at compile time.
• u95
  Returns a u95 checked at compile time.
• u96
  Returns a u96 checked at compile time.
• u97
  Returns a u97 checked at compile time.
• u98
  Returns a u98 checked at compile time.
• u99
  Returns a u99 checked at compile time.
• u100
  Returns a u100 checked at compile time.
• u101
  Returns a u101 checked at compile time.
• u102
  Returns a u102 checked at compile time.
• u103
  Returns a u103 checked at compile time.
• u104
  Returns a u104 checked at compile time.
• u105
  Returns a u105 checked at compile time.
• u106
  Returns a u106 checked at compile time.
• u107
  Returns a u107 checked at compile time.
• u108
  Returns a u108 checked at compile time.
• u109
  Returns a u109 checked at compile time.
• u110
  Returns a u110 checked at compile time.
• u111
  Returns a u111 checked at compile time.
• u112
  Returns a u112 checked at compile time.
• u113
  Returns a u113 checked at compile time.
• u114
  Returns a u114 checked at compile time.
• u115
  Returns a u115 checked at compile time.
• u116
  Returns a u116 checked at compile time.
• u117
  Returns a u117 checked at compile time.
• u118
  Returns a u118 checked at compile time.
• u119
  Returns a u119 checked at compile time.
• u120
  Returns a u120 checked at compile time.
• u121
  Returns a u121 checked at compile time.
• u122
  Returns a u122 checked at compile time.
• u123
  Returns a u123 checked at compile time.
• u124
  Returns a u124 checked at compile time.
• u125
  Returns a u125 checked at compile time.
• u126
  Returns a u126 checked at compile time.
• u127
  Returns a u127 checked at compile time.
• u128
  Returns a u128 checked at compile time.

Structs

• Aint
  An integer with a given representation, R, and bit width, WIDTH.

Traits

• BitConcat
  Concatenate two integral types bitwise into a larger integral type.
• BitSplit
  Split an integral type bitwise into two smaller integral types.
• SaturatingFrom
  Saturating conversion from one type into another.
• SaturatingInto
  Saturating conversion from one type into another.
• WrappingFrom
  Wrapping conversion from one type into another.
• WrappingInto
  Wrapping conversion from one type into another.

Type Aliases

• bit
  A single bit, unsigned integer
• i1
  A 1-bit signed integer
• i2
  A 2-bit signed integer
• i3
  A 3-bit signed integer
• i4
  A 4-bit signed integer
• i5
  A 5-bit signed integer
• i6
  A 6-bit signed integer
• i7
  A 7-bit signed integer
• i8
  A 8-bit signed integer
• i9
  A 9-bit signed integer
• i10
  A 10-bit signed integer
• i11
  A 11-bit signed integer
• i12
  A 12-bit signed integer
• i13
  A 13-bit signed integer
• i14
  A 14-bit signed integer
• i15
  A 15-bit signed integer
• i16
  A 16-bit signed integer
• i17
  A 17-bit signed integer
• i18
  A 18-bit signed integer
• i19
  A 19-bit signed integer
• i20
  A 20-bit signed integer
• i21
  A 21-bit signed integer
• i22
  A 22-bit signed integer
• i23
  A 23-bit signed integer
• i24
  A 24-bit signed integer
• i25
  A 25-bit signed integer
• i26
  A 26-bit signed integer
• i27
  A 27-bit signed integer
• i28
  A 28-bit signed integer
• i29
  A 29-bit signed integer
• i30
  A 30-bit signed integer
• i31
  A 31-bit signed integer
• i32
  A 32-bit signed integer
• i33
  A 33-bit signed integer
• i34
  A 34-bit signed integer
• i35
  A 35-bit signed integer
• i36
  A 36-bit signed integer
• i37
  A 37-bit signed integer
• i38
  A 38-bit signed integer
• i39
  A 39-bit signed integer
• i40
  A 40-bit signed integer
• i41
  A 41-bit signed integer
• i42
  A 42-bit signed integer
• i43
  A 43-bit signed integer
• i44
  A 44-bit signed integer
• i45
  A 45-bit signed integer
• i46
  A 46-bit signed integer
• i47
  A 47-bit signed integer
• i48
  A 48-bit signed integer
• i49
  A 49-bit signed integer
• i50
  A 50-bit signed integer
• i51
  A 51-bit signed integer
• i52
  A 52-bit signed integer
• i53
  A 53-bit signed integer
• i54
  A 54-bit signed integer
• i55
  A 55-bit signed integer
• i56
  A 56-bit signed integer
• i57
  A 57-bit signed integer
• i58
  A 58-bit signed integer
• i59
  A 59-bit signed integer
• i60
  A 60-bit signed integer
• i61
  A 61-bit signed integer
• i62
  A 62-bit signed integer
• i63
  A 63-bit signed integer
• i64
  A 64-bit signed integer
• i65
  A 65-bit signed integer
• i66
  A 66-bit signed integer
• i67
  A 67-bit signed integer
• i68
  A 68-bit signed integer
• i69
  A 69-bit signed integer
• i70
  A 70-bit signed integer
• i71
  A 71-bit signed integer
• i72
  A 72-bit signed integer
• i73
  A 73-bit signed integer
• i74
  A 74-bit signed integer
• i75
  A 75-bit signed integer
• i76
  A 76-bit signed integer
• i77
  A 77-bit signed integer
• i78
  A 78-bit signed integer
• i79
  A 79-bit signed integer
• i80
  A 80-bit signed integer
• i81
  A 81-bit signed integer
• i82
  A 82-bit signed integer
• i83
  A 83-bit signed integer
• i84
  A 84-bit signed integer
• i85
  A 85-bit signed integer
• i86
  A 86-bit signed integer
• i87
  A 87-bit signed integer
• i88
  A 88-bit signed integer
• i89
  A 89-bit signed integer
• i90
  A 90-bit signed integer
• i91
  A 91-bit signed integer
• i92
  A 92-bit signed integer
• i93
  A 93-bit signed integer
• i94
  A 94-bit signed integer
• i95
  A 95-bit signed integer
• i96
  A 96-bit signed integer
• i97
  A 97-bit signed integer
• i98
  A 98-bit signed integer
• i99
  A 99-bit signed integer
• i100
  A 100-bit signed integer
• i101
  A 101-bit signed integer
• i102
  A 102-bit signed integer
• i103
  A 103-bit signed integer
• i104
  A 104-bit signed integer
• i105
  A 105-bit signed integer
• i106
  A 106-bit signed integer
• i107
  A 107-bit signed integer
• i108
  A 108-bit signed integer
• i109
  A 109-bit signed integer
• i110
  A 110-bit signed integer
• i111
  A 111-bit signed integer
• i112
  A 112-bit signed integer
• i113
  A 113-bit signed integer
• i114
  A 114-bit signed integer
• i115
  A 115-bit signed integer
• i116
  A 116-bit signed integer
• i117
  A 117-bit signed integer
• i118
  A 118-bit signed integer
• i119
  A 119-bit signed integer
• i120
  A 120-bit signed integer
• i121
  A 121-bit signed integer
• i122
  A 122-bit signed integer
• i123
  A 123-bit signed integer
• i124
  A 124-bit signed integer
• i125
  A 125-bit signed integer
• i126
  A 126-bit signed integer
• i127
  A 127-bit signed integer
• i128
  A 128-bit signed integer
• u1
  A 1-bit unsigned integer
• u2
  A 2-bit unsigned integer
• u3
  A 3-bit unsigned integer
• u4
  A 4-bit unsigned integer
• u5
  A 5-bit unsigned integer
• u6
  A 6-bit unsigned integer
• u7
  A 7-bit unsigned integer
• u8
  A 8-bit unsigned integer
• u9
  A 9-bit unsigned integer
• u10
  A 10-bit unsigned integer
• u11
  A 11-bit unsigned integer
• u12
  A 12-bit unsigned integer
• u13
  A 13-bit unsigned integer
• u14
  A 14-bit unsigned integer
• u15
  A 15-bit unsigned integer
• u16
  A 16-bit unsigned integer
• u17
  A 17-bit unsigned integer
• u18
  A 18-bit unsigned integer
• u19
  A 19-bit unsigned integer
• u20
  A 20-bit unsigned integer
• u21
  A 21-bit unsigned integer
• u22
  A 22-bit unsigned integer
• u23
  A 23-bit unsigned integer
• u24
  A 24-bit unsigned integer
• u25
  A 25-bit unsigned integer
• u26
  A 26-bit unsigned integer
• u27
  A 27-bit unsigned integer
• u28
  A 28-bit unsigned integer
• u29
  A 29-bit unsigned integer
• u30
  A 30-bit unsigned integer
• u31
  A 31-bit unsigned integer
• u32
  A 32-bit unsigned integer
• u33
  A 33-bit unsigned integer
• u34
  A 34-bit unsigned integer
• u35
  A 35-bit unsigned integer
• u36
  A 36-bit unsigned integer
• u37
  A 37-bit unsigned integer
• u38
  A 38-bit unsigned integer
• u39
  A 39-bit unsigned integer
• u40
  A 40-bit unsigned integer
• u41
  A 41-bit unsigned integer
• u42
  A 42-bit unsigned integer
• u43
  A 43-bit unsigned integer
• u44
  A 44-bit unsigned integer
• u45
  A 45-bit unsigned integer
• u46
  A 46-bit unsigned integer
• u47
  A 47-bit unsigned integer
• u48
  A 48-bit unsigned integer
• u49
  A 49-bit unsigned integer
• u50
  A 50-bit unsigned integer
• u51
  A 51-bit unsigned integer
• u52
  A 52-bit unsigned integer
• u53
  A 53-bit unsigned integer
• u54
  A 54-bit unsigned integer
• u55
  A 55-bit unsigned integer
• u56
  A 56-bit unsigned integer
• u57
  A 57-bit unsigned integer
• u58
  A 58-bit unsigned integer
• u59
  A 59-bit unsigned integer
• u60
  A 60-bit unsigned integer
• u61
  A 61-bit unsigned integer
• u62
  A 62-bit unsigned integer
• u63
  A 63-bit unsigned integer
• u64
  A 64-bit unsigned integer
• u65
  A 65-bit unsigned integer
• u66
  A 66-bit unsigned integer
• u67
  A 67-bit unsigned integer
• u68
  A 68-bit unsigned integer
• u69
  A 69-bit unsigned integer
• u70
  A 70-bit unsigned integer
• u71
  A 71-bit unsigned integer
• u72
  A 72-bit unsigned integer
• u73
  A 73-bit unsigned integer
• u74
  A 74-bit unsigned integer
• u75
  A 75-bit unsigned integer
• u76
  A 76-bit unsigned integer
• u77
  A 77-bit unsigned integer
• u78
  A 78-bit unsigned integer
• u79
  A 79-bit unsigned integer
• u80
  A 80-bit unsigned integer
• u81
  A 81-bit unsigned integer
• u82
  A 82-bit unsigned integer
• u83
  A 83-bit unsigned integer
• u84
  A 84-bit unsigned integer
• u85
  A 85-bit unsigned integer
• u86
  A 86-bit unsigned integer
• u87
  A 87-bit unsigned integer
• u88
  A 88-bit unsigned integer
• u89
  A 89-bit unsigned integer
• u90
  A 90-bit unsigned integer
• u91
  A 91-bit unsigned integer
• u92
  A 92-bit unsigned integer
• u93
  A 93-bit unsigned integer
• u94
  A 94-bit unsigned integer
• u95
  A 95-bit unsigned integer
• u96
  A 96-bit unsigned integer
• u97
  A 97-bit unsigned integer
• u98
  A 98-bit unsigned integer
• u99
  A 99-bit unsigned integer
• u100
  A 100-bit unsigned integer
• u101
  A 101-bit unsigned integer
• u102
  A 102-bit unsigned integer
• u103
  A 103-bit unsigned integer
• u104
  A 104-bit unsigned integer
• u105
  A 105-bit unsigned integer
• u106
  A 106-bit unsigned integer
• u107
  A 107-bit unsigned integer
• u108
  A 108-bit unsigned integer
• u109
  A 109-bit unsigned integer
• u110
  A 110-bit unsigned integer
• u111
  A 111-bit unsigned integer
• u112
  A 112-bit unsigned integer
• u113
  A 113-bit unsigned integer
• u114
  A 114-bit unsigned integer
• u115
  A 115-bit unsigned integer
• u116
  A 116-bit unsigned integer
• u117
  A 117-bit unsigned integer
• u118
  A 118-bit unsigned integer
• u119
  A 119-bit unsigned integer
• u120
  A 120-bit unsigned integer
• u121
  A 121-bit unsigned integer
• u122
  A 122-bit unsigned integer
• u123
  A 123-bit unsigned integer
• u124
  A 124-bit unsigned integer
• u125
  A 125-bit unsigned integer
• u126
  A 126-bit unsigned integer
• u127
  A 127-bit unsigned integer
• u128
  A 128-bit unsigned integer