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qubit_codec_misc/
hex_codec.rs

1// =============================================================================
2//    Copyright (c) 2026 Haixing Hu.
3//
4//    SPDX-License-Identifier: Apache-2.0
5//
6//    Licensed under the Apache License, Version 2.0.
7// =============================================================================
8//! Hexadecimal byte codec.
9
10use qubit_codec::ValueDecoder;
11use qubit_codec::ValueEncoder;
12
13use crate::MiscCodecError;
14use crate::MiscCodecResult;
15use crate::hex_codec_config::HexCodecConfig;
16
17const LOWER_HEX_DIGITS: [char; 16] = [
18    '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a', 'b', 'c', 'd', 'e', 'f',
19];
20
21const UPPER_HEX_DIGITS: [char; 16] = [
22    '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F',
23];
24
25/// Encodes and decodes hexadecimal byte strings.
26///
27/// `HexCodec` is an owned facade for whole byte slices. Whole-string prefix,
28/// per-byte prefix, separator, and whitespace handling are part of
29/// [`encode`](Self::encode) and [`decode`](Self::decode). Use
30/// [`crate::HexByteCodec`] when a low-level
31/// [`qubit_codec::Codec<Value = u8, Unit = u8>`] is
32/// required.
33#[must_use]
34#[derive(Debug, Clone, PartialEq, Eq)]
35pub struct HexCodec {
36    config: HexCodecConfig,
37}
38
39impl HexCodec {
40    /// Creates a lowercase codec without prefix or separators.
41    ///
42    /// # Returns
43    /// A hexadecimal codec using lowercase digits.
44    #[inline]
45    pub fn new() -> Self {
46        Self::from_config(HexCodecConfig::new())
47    }
48
49    /// Creates an uppercase codec without prefix or separators.
50    ///
51    /// # Returns
52    /// A hexadecimal codec using uppercase digits.
53    #[inline]
54    pub fn upper() -> Self {
55        Self::from_config(HexCodecConfig::new().with_uppercase(true))
56    }
57
58    /// Creates a codec from an explicit configuration.
59    #[inline]
60    pub fn from_config(config: HexCodecConfig) -> Self {
61        Self { config }
62    }
63
64    /// Returns the configuration used by this codec.
65    #[inline]
66    pub fn config(&self) -> &HexCodecConfig {
67        &self.config
68    }
69
70    /// Sets whether encoded digits should be uppercase.
71    ///
72    /// # Parameters
73    /// - `uppercase`: Whether to use uppercase hexadecimal digits.
74    ///
75    /// # Returns
76    /// The updated codec.
77    #[inline]
78    pub fn with_uppercase(mut self, uppercase: bool) -> Self {
79        self.config = self.config.with_uppercase(uppercase);
80        self
81    }
82
83    /// Sets a whole-output prefix.
84    ///
85    /// The prefix is written once before the encoded bytes and required once
86    /// before decoded input. For example, using prefix `0x` encodes bytes as
87    /// `0x1f8b`.
88    ///
89    /// # Parameters
90    /// - `prefix`: Whole-output prefix text such as `0x`.
91    ///
92    /// # Returns
93    /// The updated codec.
94    #[inline]
95    pub fn with_prefix(mut self, prefix: impl Into<String>) -> Self {
96        self.config = self.config.with_prefix(prefix);
97        self
98    }
99
100    /// Sets a per-byte prefix.
101    ///
102    /// The prefix is written before every encoded byte and required before
103    /// every decoded byte. For example, using byte prefix `0x` and separator
104    /// ` ` encodes bytes as `0x1f 0x8b`.
105    ///
106    /// # Parameters
107    /// - `prefix`: Per-byte prefix text such as `0x`.
108    ///
109    /// # Returns
110    /// The updated codec.
111    #[inline]
112    pub fn with_byte_prefix(mut self, prefix: impl Into<String>) -> Self {
113        self.config = self.config.with_byte_prefix(prefix);
114        self
115    }
116
117    /// Sets a separator written and accepted between encoded bytes.
118    ///
119    /// # Parameters
120    /// - `separator`: Separator text.
121    ///
122    /// # Returns
123    /// The updated codec.
124    #[inline]
125    pub fn with_separator(mut self, separator: impl Into<String>) -> Self {
126        self.config = self.config.with_separator(separator);
127        self
128    }
129
130    /// Sets whether ASCII whitespace is ignored while decoding.
131    ///
132    /// # Parameters
133    /// - `ignore`: Whether to ignore ASCII whitespace.
134    ///
135    /// # Returns
136    /// The updated codec.
137    #[inline]
138    pub fn with_ignored_ascii_whitespace(mut self, ignore: bool) -> Self {
139        self.config = self.config.with_ignored_ascii_whitespace(ignore);
140        self
141    }
142
143    /// Sets whether ASCII case is ignored when decoding configured prefixes.
144    ///
145    /// This option affects whole-output prefixes and per-byte prefixes during
146    /// decoding only. Encoding writes prefixes exactly as configured.
147    ///
148    /// # Parameters
149    /// - `ignore`: Whether to ignore ASCII case while matching prefixes.
150    ///
151    /// # Returns
152    /// The updated codec.
153    #[inline]
154    pub fn with_ignore_prefix_case(mut self, ignore: bool) -> Self {
155        self.config = self.config.with_ignore_prefix_case(ignore);
156        self
157    }
158
159    /// Encodes bytes into a hexadecimal string.
160    ///
161    /// # Parameters
162    /// - `bytes`: Bytes to encode.
163    ///
164    /// # Returns
165    /// Hexadecimal text.
166    #[inline]
167    #[must_use]
168    pub fn encode(&self, bytes: &[u8]) -> String {
169        let separator_len = self.config.separator.as_ref().map_or(0, String::len);
170        let prefix_len = self.config.prefix.as_ref().map_or(0, String::len);
171        let byte_prefix_len = self.config.byte_prefix.as_ref().map_or(0, String::len);
172        let capacity = prefix_len.saturating_add(
173            bytes
174                .len()
175                .saturating_mul(byte_prefix_len.saturating_add(2))
176                .saturating_add(bytes.len().saturating_sub(1).saturating_mul(separator_len)),
177        );
178        let mut output = String::with_capacity(capacity);
179        self.encode_into(bytes, &mut output);
180        output
181    }
182
183    /// Encodes bytes into an existing string.
184    ///
185    /// # Parameters
186    /// - `bytes`: Bytes to encode.
187    /// - `output`: Destination string.
188    #[inline]
189    pub fn encode_into(&self, bytes: &[u8], output: &mut String) {
190        if let Some(prefix) = &self.config.prefix {
191            output.push_str(prefix);
192        }
193        for (index, byte) in bytes.iter().enumerate() {
194            if index > 0
195                && let Some(separator) = &self.config.separator
196            {
197                output.push_str(separator);
198            }
199            if let Some(byte_prefix) = &self.config.byte_prefix {
200                output.push_str(byte_prefix);
201            }
202            push_hex_byte(*byte, self.config.uppercase, output);
203        }
204    }
205
206    /// Decodes hexadecimal text into bytes.
207    ///
208    /// # Parameters
209    /// - `text`: Hexadecimal text.
210    ///
211    /// # Returns
212    /// Decoded bytes.
213    ///
214    /// # Errors
215    /// Returns [`MiscCodecError`] when a configured whole or per-byte prefix is
216    /// missing, when the normalized digit count is odd, or when a non-hex
217    /// digit is found.
218    #[inline]
219    pub fn decode(&self, text: &str) -> MiscCodecResult<Vec<u8>> {
220        self.decode_to_vec(text)
221    }
222
223    /// Decodes hexadecimal text into an existing byte vector.
224    ///
225    /// # Parameters
226    /// - `text`: Hexadecimal text.
227    /// - `output`: Destination byte vector.
228    ///
229    /// # Errors
230    /// Returns [`MiscCodecError`] when the input is malformed.
231    ///
232    /// # TODO
233    /// This method currently decodes into a temporary vector before appending
234    /// so that an error leaves `output` unchanged. A future optimization can
235    /// decode directly into `output` with a checkpoint-and-rollback strategy,
236    /// or validate and reserve in a first pass, to avoid the temporary vector
237    /// while preserving transactional behavior.
238    #[inline]
239    pub fn decode_into(&self, text: &str, output: &mut Vec<u8>) -> MiscCodecResult<()> {
240        let decoded = self.decode_to_vec(text)?;
241        output.reserve(decoded.len());
242        output.extend(decoded);
243        Ok(())
244    }
245
246    /// Decodes text into a new byte vector using a single transactional pass.
247    ///
248    /// # Parameters
249    /// - `text`: Text to decode.
250    ///
251    /// # Returns
252    /// Decoded bytes.
253    ///
254    /// # Errors
255    /// Returns [`MiscCodecError::InvalidDigit`] for unsupported characters.
256    #[inline]
257    fn decode_to_vec(&self, text: &str) -> MiscCodecResult<Vec<u8>> {
258        let start_index = self.consume_prefix(text)?;
259        if let Some(separator) = self
260            .config
261            .separator
262            .as_deref()
263            .filter(|separator| !separator.is_empty())
264        {
265            return self.decode_separated(text, start_index, separator);
266        }
267        if let Some(byte_prefix) = self.config.byte_prefix.as_deref().filter(|prefix| !prefix.is_empty()) {
268            return self.decode_byte_prefixed(text, byte_prefix, start_index);
269        }
270        self.decode_unprefixed(text, start_index)
271    }
272
273    /// Consumes the configured whole-output prefix.
274    ///
275    /// # Parameters
276    /// - `text`: Text to decode.
277    ///
278    /// # Returns
279    /// Byte index where byte parsing should start.
280    ///
281    /// # Errors
282    /// Returns [`MiscCodecError::MissingPrefix`] when a non-empty whole-output
283    /// prefix is configured but absent.
284    #[inline]
285    fn consume_prefix(&self, text: &str) -> MiscCodecResult<usize> {
286        let Some(prefix) = self.config.prefix.as_deref().filter(|prefix| !prefix.is_empty()) else {
287            return Ok(0);
288        };
289        let index = if self.starts_with_prefix(text, prefix) {
290            0
291        } else {
292            self.skip_ascii_whitespace(text, 0)
293        };
294        let rest = &text[index..];
295        if self.starts_with_prefix(rest, prefix) {
296            Ok(index + prefix.len())
297        } else {
298            Err(MiscCodecError::MissingPrefix {
299                prefix: prefix.to_owned(),
300            })
301        }
302    }
303
304    /// Decodes separator-delimited input into bytes.
305    ///
306    /// # Parameters
307    /// - `text`: Text to decode.
308    /// - `index`: Byte index where parsing should start.
309    /// - `separator`: Required separator between complete bytes.
310    ///
311    /// # Returns
312    /// Decoded bytes.
313    ///
314    /// # Errors
315    /// Returns [`MiscCodecError`] when a byte is malformed or the configured
316    /// separator is missing between complete bytes.
317    fn decode_separated(&self, text: &str, mut index: usize, separator: &str) -> MiscCodecResult<Vec<u8>> {
318        let mut output = Vec::with_capacity(text.len() / 2);
319        index = self.skip_ascii_whitespace(text, index);
320        if index >= text.len() {
321            return Ok(output);
322        }
323        loop {
324            index = self.consume_byte_prefix(text, index)?;
325            let (_, high_char, next_index) = read_required_hex_digit(text, index)?;
326            let (_, low_char, next_index) = read_required_hex_digit(text, next_index)?;
327            output.push(decode_hex_pair(high_char, low_char));
328            index = next_index;
329
330            let separator_index = self.next_separator_index(text, index, separator);
331            if separator_index >= text.len() {
332                return Ok(output);
333            }
334            let rest = &text[separator_index..];
335            if !rest.starts_with(separator) {
336                return Err(invalid_hex_input(&format!(
337                    "missing separator '{separator}' between hex bytes"
338                )));
339            }
340            index = self.skip_ascii_whitespace(text, separator_index + separator.len());
341            if index >= text.len() {
342                return Err(invalid_hex_input("separator must be followed by a hex byte"));
343            }
344        }
345    }
346
347    /// Consumes the configured per-byte prefix.
348    ///
349    /// # Parameters
350    /// - `text`: Text to decode.
351    /// - `index`: Current byte index.
352    ///
353    /// # Returns
354    /// Index after the per-byte prefix, or `index` when no non-empty per-byte
355    /// prefix is configured.
356    ///
357    /// # Errors
358    /// Returns [`MiscCodecError::MissingPrefix`] when the configured per-byte
359    /// prefix is absent.
360    #[inline]
361    fn consume_byte_prefix(&self, text: &str, index: usize) -> MiscCodecResult<usize> {
362        let Some(prefix) = self.config.byte_prefix.as_deref().filter(|prefix| !prefix.is_empty()) else {
363            return Ok(index);
364        };
365        let index = if self.starts_with_prefix(&text[index..], prefix) {
366            index
367        } else {
368            self.skip_ignored(text, index)
369        };
370        let rest = &text[index..];
371        if self.starts_with_prefix(rest, prefix) {
372            Ok(index + prefix.len())
373        } else {
374            Err(MiscCodecError::MissingPrefix {
375                prefix: prefix.to_owned(),
376            })
377        }
378    }
379
380    /// Finds the position where the next separator must appear.
381    ///
382    /// # Parameters
383    /// - `text`: Text being decoded.
384    /// - `index`: Current byte index after a complete hex byte.
385    /// - `separator`: Configured separator.
386    ///
387    /// # Returns
388    /// Index where the separator must start, or `text.len()` when only ignored
389    /// trailing whitespace remains.
390    #[inline]
391    fn next_separator_index(&self, text: &str, index: usize, separator: &str) -> usize {
392        if !separator.chars().all(|ch| ch.is_ascii_whitespace())
393            && text.get(index..).is_some_and(|rest| rest.starts_with(separator))
394        {
395            return index;
396        }
397        let whitespace_end = self.skip_ascii_whitespace(text, index);
398        if whitespace_end >= text.len() {
399            return whitespace_end;
400        }
401        if separator.chars().all(|ch| ch.is_ascii_whitespace()) {
402            index
403        } else {
404            whitespace_end
405        }
406    }
407
408    /// Decodes unprefixed input characters into bytes.
409    ///
410    /// # Parameters
411    /// - `text`: Text to decode.
412    ///
413    /// # Returns
414    /// Decoded bytes.
415    ///
416    /// # Errors
417    /// Returns [`MiscCodecError::InvalidDigit`] for unsupported characters.
418    fn decode_unprefixed(&self, text: &str, mut index: usize) -> MiscCodecResult<Vec<u8>> {
419        let mut output = Vec::with_capacity(text.len() / 2);
420        let mut pending = None;
421        let mut digit_count = 0usize;
422        while index < text.len() {
423            let rest = &text[index..];
424            let ch = rest.chars().next().expect("index is below text length");
425            if self.config.ignore_ascii_whitespace && ch.is_ascii_whitespace() {
426                index += ch.len_utf8();
427                continue;
428            }
429            if hex_value(ch).is_some() {
430                digit_count += 1;
431                if let Some(high_char) = pending.take() {
432                    output.push(decode_hex_pair(high_char, ch));
433                } else {
434                    pending = Some(ch);
435                }
436                index += ch.len_utf8();
437                continue;
438            }
439            return Err(invalid_hex_digit(index, ch));
440        }
441        if !digit_count.is_multiple_of(2) {
442            return Err(invalid_hex_length(digit_count));
443        }
444        Ok(output)
445    }
446
447    /// Decodes byte-prefixed input characters into bytes.
448    ///
449    /// # Parameters
450    /// - `text`: Text to decode.
451    /// - `prefix`: Required prefix before each byte.
452    /// - `index`: Byte index where parsing should start.
453    ///
454    /// # Returns
455    /// Decoded bytes.
456    ///
457    /// # Errors
458    /// Returns [`MiscCodecError::MissingPrefix`] when a byte prefix is missing,
459    /// or [`MiscCodecError::InvalidDigit`] for unsupported characters.
460    fn decode_byte_prefixed(&self, text: &str, prefix: &str, mut index: usize) -> MiscCodecResult<Vec<u8>> {
461        let mut output = Vec::with_capacity(text.len() / 2);
462        let mut digit_count = 0usize;
463        while index < text.len() {
464            index = self.skip_ignored(text, index);
465            if index >= text.len() {
466                break;
467            }
468            let rest = &text[index..];
469            if !self.starts_with_prefix(rest, prefix) {
470                return Err(MiscCodecError::MissingPrefix {
471                    prefix: prefix.to_owned(),
472                });
473            }
474            index += prefix.len();
475
476            let mut pair_count = 0;
477            let mut pair = [(0usize, '\0'); 2];
478            while pair_count < 2 && index < text.len() {
479                let rest = &text[index..];
480                let ch = rest.chars().next().expect("index is below text length");
481                if self.config.ignore_ascii_whitespace && ch.is_ascii_whitespace() {
482                    index += ch.len_utf8();
483                    continue;
484                }
485                if hex_value(ch).is_some() {
486                    pair[pair_count] = (index, ch);
487                    index += ch.len_utf8();
488                    pair_count += 1;
489                    digit_count += 1;
490                    continue;
491                }
492                return Err(invalid_hex_digit(index, ch));
493            }
494            if pair_count != 2 {
495                return Err(invalid_hex_input("byte prefix must be followed by two hex digits"));
496            }
497            output.push(decode_hex_pair(pair[0].1, pair[1].1));
498        }
499        if !digit_count.is_multiple_of(2) {
500            return Err(invalid_hex_length(digit_count));
501        }
502        Ok(output)
503    }
504
505    /// Skips ignored ASCII whitespace.
506    ///
507    /// # Parameters
508    /// - `text`: Text being decoded.
509    /// - `index`: Current byte index.
510    ///
511    /// # Returns
512    /// The next byte index that should be parsed.
513    #[inline]
514    fn skip_ignored(&self, text: &str, mut index: usize) -> usize {
515        while index < text.len() {
516            let byte = text.as_bytes()[index];
517            if self.config.ignore_ascii_whitespace && byte.is_ascii_whitespace() {
518                index += 1;
519                continue;
520            }
521            return index;
522        }
523        index
524    }
525
526    /// Skips ignored leading ASCII whitespace.
527    ///
528    /// # Parameters
529    /// - `text`: Text being decoded.
530    /// - `index`: Current byte index.
531    ///
532    /// # Returns
533    /// The next byte index after ignored ASCII whitespace.
534    #[inline]
535    fn skip_ascii_whitespace(&self, text: &str, mut index: usize) -> usize {
536        while self.config.ignore_ascii_whitespace && index < text.len() {
537            if !text.as_bytes()[index].is_ascii_whitespace() {
538                return index;
539            }
540            index += 1;
541        }
542        index
543    }
544
545    /// Tests whether `text` starts with a configured prefix.
546    ///
547    /// # Parameters
548    /// - `text`: Text slice to inspect.
549    /// - `prefix`: Configured prefix.
550    ///
551    /// # Returns
552    /// `true` when `text` starts with `prefix`, honoring the configured
553    /// ASCII case sensitivity for decoding prefixes.
554    #[inline]
555    fn starts_with_prefix(&self, text: &str, prefix: &str) -> bool {
556        if !self.config.ignore_prefix_case {
557            return text.starts_with(prefix);
558        }
559        let Some(candidate) = text.get(..prefix.len()) else {
560            return false;
561        };
562        candidate.eq_ignore_ascii_case(prefix)
563    }
564}
565
566impl Default for HexCodec {
567    /// Creates a lowercase codec without prefix or separators.
568    #[inline]
569    fn default() -> Self {
570        Self::new()
571    }
572}
573
574impl ValueEncoder<[u8]> for HexCodec {
575    type Error = MiscCodecError;
576    type Output = String;
577
578    /// Encodes bytes into hexadecimal text.
579    #[inline]
580    fn encode(&mut self, input: &[u8]) -> Result<Self::Output, Self::Error> {
581        Ok(HexCodec::encode(self, input))
582    }
583}
584
585impl ValueDecoder<str> for HexCodec {
586    type Error = MiscCodecError;
587    type Output = Vec<u8>;
588
589    /// Decodes hexadecimal text into bytes.
590    #[inline]
591    fn decode(&mut self, input: &str) -> Result<Self::Output, Self::Error> {
592        HexCodec::decode(self, input)
593    }
594}
595
596/// Converts one hex digit to its value.
597///
598/// # Parameters
599/// - `ch`: Character to inspect.
600///
601/// # Returns
602/// Nibble value, or `None` when `ch` is not a hex digit.
603#[inline(always)]
604pub(crate) fn hex_value(ch: char) -> Option<u8> {
605    match ch {
606        '0'..='9' => Some(ch as u8 - b'0'),
607        'a'..='f' => Some(ch as u8 - b'a' + 10),
608        'A'..='F' => Some(ch as u8 - b'A' + 10),
609        _ => None,
610    }
611}
612
613/// Builds an invalid hexadecimal digit error.
614///
615/// # Parameters
616/// - `index`: Byte index of the invalid character in the original input.
617/// - `character`: Invalid character.
618///
619/// # Returns
620/// A radix-16 digit error.
621pub(crate) fn invalid_hex_digit(index: usize, character: char) -> MiscCodecError {
622    MiscCodecError::InvalidDigit {
623        radix: 16,
624        index,
625        character,
626    }
627}
628
629/// Builds an invalid hexadecimal length error.
630///
631/// # Parameters
632/// - `actual`: Number of normalized hexadecimal digits.
633///
634/// # Returns
635/// An invalid length error describing the even-digit requirement.
636fn invalid_hex_length(actual: usize) -> MiscCodecError {
637    MiscCodecError::InvalidLength {
638        context: "hex digits",
639        expected: "an even number of digits".to_owned(),
640        actual,
641    }
642}
643
644/// Builds an invalid hexadecimal input error.
645///
646/// # Parameters
647/// - `reason`: Human-readable reason the input was rejected.
648///
649/// # Returns
650/// An invalid input error for the hexadecimal codec.
651fn invalid_hex_input(reason: &str) -> MiscCodecError {
652    MiscCodecError::InvalidInput {
653        codec: "hex",
654        reason: reason.to_owned(),
655    }
656}
657
658/// Reads one required hexadecimal digit at a byte boundary.
659///
660/// # Parameters
661/// - `text`: Text being decoded.
662/// - `index`: Byte index where the digit is expected.
663///
664/// # Returns
665/// Original digit index, digit character, and the next byte index.
666///
667/// # Errors
668/// Returns [`MiscCodecError::InvalidInput`] when input ends before the digit,
669/// or [`MiscCodecError::InvalidDigit`] when the next character is not hex.
670#[inline]
671fn read_required_hex_digit(text: &str, index: usize) -> MiscCodecResult<(usize, char, usize)> {
672    let rest = &text[index..];
673    let Some(character) = rest.chars().next() else {
674        return Err(invalid_hex_input("expected a hexadecimal digit"));
675    };
676    if hex_value(character).is_none() {
677        return Err(invalid_hex_digit(index, character));
678    }
679    Ok((index, character, index + character.len_utf8()))
680}
681
682/// Decodes two hexadecimal characters into one byte.
683///
684/// # Parameters
685/// - `high_index`: Original byte index of the high nibble.
686/// - `high_char`: High-nibble character.
687/// - `low_index`: Original byte index of the low nibble.
688/// - `low_char`: Low-nibble character.
689///
690/// # Returns
691/// The decoded byte.
692///
693/// The callers validate both characters before constructing the pair.
694#[inline]
695fn decode_hex_pair(high_char: char, low_char: char) -> u8 {
696    let high = hex_value(high_char).expect("validated hexadecimal digit");
697    let low = hex_value(low_char).expect("validated hexadecimal digit");
698    (high << 4) | low
699}
700
701/// Appends one encoded byte to `output`.
702///
703/// # Parameters
704/// - `byte`: Byte to encode.
705/// - `uppercase`: Whether to use uppercase digits.
706/// - `output`: Destination string.
707#[inline(always)]
708fn push_hex_byte(byte: u8, uppercase: bool, output: &mut String) {
709    output.push(hex_digit(byte >> 4, uppercase));
710    output.push(hex_digit(byte & 0x0f, uppercase));
711}
712
713/// Converts one nibble to a hexadecimal digit.
714///
715/// # Parameters
716/// - `value`: Nibble value.
717/// - `uppercase`: Whether to use uppercase digits.
718///
719/// # Returns
720/// Hexadecimal digit. Values above `0x0f` are masked to their low nibble.
721#[inline(always)]
722pub(crate) fn hex_digit(value: u8, uppercase: bool) -> char {
723    let digits = if uppercase {
724        &UPPER_HEX_DIGITS
725    } else {
726        &LOWER_HEX_DIGITS
727    };
728    digits[(value & 0x0f) as usize]
729}