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Comprehensive documentation audit and improvements
Enhanced documentation across all source files for clarity, consistency, and accessibility while maintaining technical accuracy. Changes: - Simplified academic language (Category Theory → Overview) - Added concrete examples with actual byte arrays - Improved consistency across Double, Float, and [UInt8] extensions - Enhanced namespace documentation with usage examples - Added DocC cross-references throughout - Replaced emphatic language with clear technical descriptions - Maintained all technical accuracy and IEEE 754 conformance details All files updated: - IEEE_754.swift: Enhanced module-level docs with performance notes - Double+IEEE_754.swift: Improved all method documentation - Float+IEEE_754.swift: Mirrored Double improvements for consistency - [UInt8]+IEEE_754.swift: Enhanced initializer documentation - IEEE_754.Binary64.swift: Simplified from academic to practical - IEEE_754.Binary32.swift: Consistent with Binary64 improvements All 174 tests pass.
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Sources/IEEE_754/Double+IEEE_754.swift

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Original file line numberDiff line numberDiff line change
@@ -7,15 +7,35 @@ import Standards
77

88
extension Double {
99
/// Access to IEEE 754 binary64 constants and methods
10+
///
11+
/// Provides namespaced access to IEEE 754 serialization functionality.
12+
///
13+
/// Example:
14+
/// ```swift
15+
/// let bytes = value.ieee754.bytes()
16+
/// let pattern = value.ieee754.bitPattern
17+
/// ```
1018
public static var ieee754: IEEE754.Type {
1119
IEEE754.self
1220
}
1321

1422
/// Access to IEEE 754 instance methods for this Double
23+
///
24+
/// Provides namespaced access to IEEE 754 serialization functionality.
25+
///
26+
/// Example:
27+
/// ```swift
28+
/// let bytes = (3.14159).ieee754.bytes()
29+
/// let bytes = (3.14159).ieee754.bytes(endianness: .big)
30+
/// ```
1531
public var ieee754: IEEE754 {
1632
IEEE754(double: self)
1733
}
1834

35+
/// IEEE 754 namespace for Double
36+
///
37+
/// Provides namespaced access to IEEE 754 binary64 serialization methods
38+
/// and properties for Double values.
1939
public struct IEEE754 {
2040
public let double: Double
2141

@@ -30,22 +50,23 @@ extension Double {
3050
extension Double {
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/// Creates Double from IEEE 754 binary64 bytes
3252
///
33-
/// This is the canonical deserialization for Double, following the
34-
/// FixedWidthInteger pattern. IEEE 754 is THE authoritative representation
35-
/// for floating-point values.
36-
///
37-
/// Delegates to `IEEE_754.Binary64.value(from:endianness:)`.
53+
/// Canonical deserialization following the FixedWidthInteger pattern.
54+
/// Converts an 8-byte array in IEEE 754 binary64 format back to a Double.
3855
///
3956
/// - Parameters:
4057
/// - bytes: 8-byte array in IEEE 754 binary64 format
41-
/// - endianness: Byte order of input bytes
58+
/// - endianness: Byte order of input bytes (defaults to little-endian)
4259
/// - Returns: nil if bytes.count ≠ 8
4360
///
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/// Example:
4562
/// ```swift
46-
/// let value = Double(bytes: data)
63+
/// let value = Double(bytes: [0x18, 0x2D, 0x44, 0x54, 0xFB, 0x21, 0x09, 0x40])
64+
/// // 3.141592653589793
65+
///
4766
/// let value = Double(bytes: data, endianness: .big)
4867
/// ```
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///
69+
/// - Note: Delegates to ``IEEE_754/Binary64/value(from:endianness:)``
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@_transparent
5071
public init?(bytes: [UInt8], endianness: [UInt8].Endianness = .little) {
5172
guard let value = IEEE_754.Binary64.value(from: bytes, endianness: endianness) else {
@@ -60,19 +81,21 @@ extension Double {
6081
extension Double {
6182
/// Returns IEEE 754 binary64 byte representation
6283
///
63-
/// Canonical serialization following FixedWidthInteger pattern.
64-
/// IEEE 754 is THE authoritative representation for floating-point values.
84+
/// Canonical serialization following the FixedWidthInteger pattern.
85+
/// Converts the Double to an 8-byte array in IEEE 754 binary64 format.
6586
///
66-
/// Delegates to `IEEE_754.Binary64.bytes(from:endianness:)`.
67-
///
68-
/// - Parameter endianness: Byte order (little or big)
87+
/// - Parameter endianness: Byte order (defaults to little-endian)
6988
/// - Returns: 8-byte array in IEEE 754 binary64 format
7089
///
7190
/// Example:
7291
/// ```swift
73-
/// let bytes = value.bytes()
74-
/// let bytes = value.bytes(endianness: .big)
92+
/// let bytes = (3.14159).bytes()
93+
/// // [0x6E, 0x86, 0x1B, 0xF0, 0xF9, 0x21, 0x09, 0x40]
94+
///
95+
/// let bytes = value.bytes(endianness: .big) // Network byte order
7596
/// ```
97+
///
98+
/// - Note: Delegates to ``IEEE_754/Binary64/bytes(from:endianness:)``
7699
@_transparent
77100
public func bytes(endianness: [UInt8].Endianness = .little) -> [UInt8] {
78101
IEEE_754.Binary64.bytes(from: self, endianness: endianness)
@@ -84,18 +107,21 @@ extension Double {
84107
extension Double {
85108
/// Creates Double from IEEE 754 binary64 bytes
86109
///
87-
/// Delegates to `IEEE_754.Binary64.value(from:endianness:)`.
110+
/// Type-level deserialization method. Converts an 8-byte array in IEEE 754
111+
/// binary64 format to a Double.
88112
///
89113
/// - Parameters:
90114
/// - bytes: 8-byte array in IEEE 754 binary64 format
91-
/// - endianness: Byte order of input bytes
115+
/// - endianness: Byte order of input bytes (defaults to little-endian)
92116
/// - Returns: Double value, or nil if bytes.count ≠ 8
93117
///
94118
/// Example:
95119
/// ```swift
96-
/// let value = Double.ieee754(bytes)
120+
/// let value = Double.ieee754([0x18, 0x2D, 0x44, 0x54, 0xFB, 0x21, 0x09, 0x40])
97121
/// let value = Double.ieee754(bytes, endianness: .big)
98122
/// ```
123+
///
124+
/// - Note: Delegates to ``IEEE_754/Binary64/value(from:endianness:)``
99125
@_transparent
100126
public static func ieee754(
101127
_ bytes: [UInt8],
@@ -110,28 +136,32 @@ extension Double {
110136
extension Double.IEEE754 {
111137
/// Returns IEEE 754 binary64 byte representation
112138
///
113-
/// Convenience that delegates to `IEEE_754.Binary64.bytes(from:endianness:)`.
139+
/// Namespaced serialization method. Converts the Double to an 8-byte array
140+
/// in IEEE 754 binary64 format.
114141
///
115-
/// - Parameter endianness: Byte order (little or big)
142+
/// - Parameter endianness: Byte order (defaults to little-endian)
116143
/// - Returns: 8-byte array in IEEE 754 binary64 format
117144
///
118145
/// Example:
119146
/// ```swift
120147
/// let bytes = (3.14159).ieee754.bytes()
121148
/// let bytes = (3.14159).ieee754.bytes(endianness: .big)
122149
/// ```
150+
///
151+
/// - Note: Delegates to ``IEEE_754/Binary64/bytes(from:endianness:)``
123152
@_transparent
124153
public func bytes(endianness: [UInt8].Endianness = .little) -> [UInt8] {
125154
IEEE_754.Binary64.bytes(from: double, endianness: endianness)
126155
}
127156

128157
/// Returns the IEEE 754 binary64 bit pattern
129158
///
130-
/// Direct access to the underlying bit representation.
159+
/// Direct access to the underlying 64-bit representation of the Double value.
131160
///
132161
/// Example:
133162
/// ```swift
134163
/// let pattern = (3.14159).ieee754.bitPattern
164+
/// // 0x400921FB54442D18
135165
/// ```
136166
@_transparent
137167
public var bitPattern: UInt64 {

Sources/IEEE_754/Float+IEEE_754.swift

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Original file line numberDiff line numberDiff line change
@@ -7,15 +7,35 @@ import Standards
77

88
extension Float {
99
/// Access to IEEE 754 binary32 constants and methods
10+
///
11+
/// Provides namespaced access to IEEE 754 serialization functionality.
12+
///
13+
/// Example:
14+
/// ```swift
15+
/// let bytes = value.ieee754.bytes()
16+
/// let pattern = value.ieee754.bitPattern
17+
/// ```
1018
public static var ieee754: IEEE754.Type {
1119
IEEE754.self
1220
}
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1422
/// Access to IEEE 754 instance methods for this Float
23+
///
24+
/// Provides namespaced access to IEEE 754 serialization functionality.
25+
///
26+
/// Example:
27+
/// ```swift
28+
/// let bytes = Float(3.14).ieee754.bytes()
29+
/// let bytes = Float(3.14).ieee754.bytes(endianness: .big)
30+
/// ```
1531
public var ieee754: IEEE754 {
1632
IEEE754(float: self)
1733
}
1834

35+
/// IEEE 754 namespace for Float
36+
///
37+
/// Provides namespaced access to IEEE 754 binary32 serialization methods
38+
/// and properties for Float values.
1939
public struct IEEE754 {
2040
public let float: Float
2141

@@ -30,22 +50,23 @@ extension Float {
3050
extension Float {
3151
/// Creates Float from IEEE 754 binary32 bytes
3252
///
33-
/// This is the canonical deserialization for Float, following the
34-
/// FixedWidthInteger pattern. IEEE 754 is THE authoritative representation
35-
/// for floating-point values.
36-
///
37-
/// Delegates to `IEEE_754.Binary32.value(from:endianness:)`.
53+
/// Canonical deserialization following the FixedWidthInteger pattern.
54+
/// Converts a 4-byte array in IEEE 754 binary32 format back to a Float.
3855
///
3956
/// - Parameters:
4057
/// - bytes: 4-byte array in IEEE 754 binary32 format
41-
/// - endianness: Byte order of input bytes
58+
/// - endianness: Byte order of input bytes (defaults to little-endian)
4259
/// - Returns: nil if bytes.count ≠ 4
4360
///
4461
/// Example:
4562
/// ```swift
46-
/// let value = Float(bytes: data)
63+
/// let value = Float(bytes: [0xD0, 0x0F, 0x49, 0x40])
64+
/// // 3.14159
65+
///
4766
/// let value = Float(bytes: data, endianness: .big)
4867
/// ```
68+
///
69+
/// - Note: Delegates to ``IEEE_754/Binary32/value(from:endianness:)``
4970
@_transparent
5071
public init?(bytes: [UInt8], endianness: [UInt8].Endianness = .little) {
5172
guard let value = IEEE_754.Binary32.value(from: bytes, endianness: endianness) else {
@@ -60,19 +81,21 @@ extension Float {
6081
extension Float {
6182
/// Returns IEEE 754 binary32 byte representation
6283
///
63-
/// Canonical serialization following FixedWidthInteger pattern.
64-
/// IEEE 754 is THE authoritative representation for floating-point values.
84+
/// Canonical serialization following the FixedWidthInteger pattern.
85+
/// Converts the Float to a 4-byte array in IEEE 754 binary32 format.
6586
///
66-
/// Delegates to `IEEE_754.Binary32.bytes(from:endianness:)`.
67-
///
68-
/// - Parameter endianness: Byte order (little or big)
87+
/// - Parameter endianness: Byte order (defaults to little-endian)
6988
/// - Returns: 4-byte array in IEEE 754 binary32 format
7089
///
7190
/// Example:
7291
/// ```swift
73-
/// let bytes = value.bytes()
74-
/// let bytes = value.bytes(endianness: .big)
92+
/// let bytes = Float(3.14159).bytes()
93+
/// // [0xD0, 0x0F, 0x49, 0x40]
94+
///
95+
/// let bytes = value.bytes(endianness: .big) // Network byte order
7596
/// ```
97+
///
98+
/// - Note: Delegates to ``IEEE_754/Binary32/bytes(from:endianness:)``
7699
@_transparent
77100
public func bytes(endianness: [UInt8].Endianness = .little) -> [UInt8] {
78101
IEEE_754.Binary32.bytes(from: self, endianness: endianness)
@@ -84,18 +107,21 @@ extension Float {
84107
extension Float {
85108
/// Creates Float from IEEE 754 binary32 bytes
86109
///
87-
/// Delegates to `IEEE_754.Binary32.value(from:endianness:)`.
110+
/// Type-level deserialization method. Converts a 4-byte array in IEEE 754
111+
/// binary32 format to a Float.
88112
///
89113
/// - Parameters:
90114
/// - bytes: 4-byte array in IEEE 754 binary32 format
91-
/// - endianness: Byte order of input bytes
115+
/// - endianness: Byte order of input bytes (defaults to little-endian)
92116
/// - Returns: Float value, or nil if bytes.count ≠ 4
93117
///
94118
/// Example:
95119
/// ```swift
96-
/// let value = Float.ieee754(bytes)
120+
/// let value = Float.ieee754([0xD0, 0x0F, 0x49, 0x40])
97121
/// let value = Float.ieee754(bytes, endianness: .big)
98122
/// ```
123+
///
124+
/// - Note: Delegates to ``IEEE_754/Binary32/value(from:endianness:)``
99125
@_transparent
100126
public static func ieee754(
101127
_ bytes: [UInt8],
@@ -110,28 +136,32 @@ extension Float {
110136
extension Float.IEEE754 {
111137
/// Returns IEEE 754 binary32 byte representation
112138
///
113-
/// Convenience that delegates to `IEEE_754.Binary32.bytes(from:endianness:)`.
139+
/// Namespaced serialization method. Converts the Float to a 4-byte array
140+
/// in IEEE 754 binary32 format.
114141
///
115-
/// - Parameter endianness: Byte order (little or big)
142+
/// - Parameter endianness: Byte order (defaults to little-endian)
116143
/// - Returns: 4-byte array in IEEE 754 binary32 format
117144
///
118145
/// Example:
119146
/// ```swift
120147
/// let bytes = Float(3.14).ieee754.bytes()
121148
/// let bytes = Float(3.14).ieee754.bytes(endianness: .big)
122149
/// ```
150+
///
151+
/// - Note: Delegates to ``IEEE_754/Binary32/bytes(from:endianness:)``
123152
@_transparent
124153
public func bytes(endianness: [UInt8].Endianness = .little) -> [UInt8] {
125154
IEEE_754.Binary32.bytes(from: float, endianness: endianness)
126155
}
127156

128157
/// Returns the IEEE 754 binary32 bit pattern
129158
///
130-
/// Direct access to the underlying bit representation.
159+
/// Direct access to the underlying 32-bit representation of the Float value.
131160
///
132161
/// Example:
133162
/// ```swift
134163
/// let pattern = Float(3.14).ieee754.bitPattern
164+
/// // 0x4048F5C3
135165
/// ```
136166
@_transparent
137167
public var bitPattern: UInt32 {

Sources/IEEE_754/IEEE_754.Binary32.swift

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Original file line numberDiff line numberDiff line change
@@ -32,12 +32,12 @@ extension IEEE_754 {
3232
/// - Infinity: exponent = 255, fraction = 0
3333
/// - NaN: exponent = 255, fraction ≠ 0
3434
///
35-
/// ## Category Theory
35+
/// ## Overview
3636
///
37-
/// Binary32 is Swift's `Float` type. This namespace provides the
38-
/// canonical transformation:
37+
/// Binary32 corresponds to Swift's `Float` type. This namespace provides
38+
/// the canonical binary serialization and deserialization:
3939
/// ```
40-
/// Float ←→ [UInt8] (IEEE 754 binary32 bytes)
40+
/// Float [UInt8] (IEEE 754 binary32 bytes)
4141
/// ```
4242
public enum Binary32 {
4343
/// Number of bytes in binary32 format
@@ -66,18 +66,13 @@ extension IEEE_754 {
6666
extension IEEE_754.Binary32 {
6767
/// Serializes Float to IEEE 754 binary32 byte representation
6868
///
69-
/// ## Category Theory
70-
///
71-
/// Natural transformation:
72-
/// ```
73-
/// Float → [UInt8] (binary32)
74-
/// ```
75-
///
76-
/// Lossless, bijective mapping to canonical binary interchange format.
69+
/// Authoritative serialization method. Converts a Float to a 4-byte array
70+
/// in IEEE 754 binary32 format. This is a lossless transformation preserving
71+
/// all bits of the floating-point value.
7772
///
7873
/// - Parameters:
7974
/// - value: Float to serialize
80-
/// - endianness: Byte order (little or big)
75+
/// - endianness: Byte order (defaults to little-endian)
8176
/// - Returns: 4-byte array in IEEE 754 binary32 format
8277
///
8378
/// Example:
@@ -96,16 +91,13 @@ extension IEEE_754.Binary32 {
9691

9792
/// Deserializes IEEE 754 binary32 bytes to Float
9893
///
99-
/// ## Category Theory
100-
///
101-
/// Natural transformation (inverse of serialization):
102-
/// ```
103-
/// [UInt8] (binary32) → Float
104-
/// ```
94+
/// Authoritative deserialization method. Converts a 4-byte array in
95+
/// IEEE 754 binary32 format back to a Float. This is the inverse of
96+
/// the serialization operation, preserving all bits of the original value.
10597
///
10698
/// - Parameters:
10799
/// - bytes: 4-byte array in IEEE 754 binary32 format
108-
/// - endianness: Byte order of input bytes
100+
/// - endianness: Byte order of input bytes (defaults to little-endian)
109101
/// - Returns: Float value, or nil if bytes.count ≠ 4
110102
///
111103
/// Example:

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