oxedyne/fe2o3/fe2o3_text/src/unicode/norm.rs
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| 1 | //! Normalisation, following UAX #15. |
| 2 | //! |
| 3 | //! The four normalisation forms differ along two axes: whether the decomposition is canonical or |
| 4 | //! compatibility, and whether the result is left decomposed or recomposed. Each form decomposes |
| 5 | //! the text, puts the combining marks into canonical order, and, for the composed forms, recombines |
| 6 | //! what it can. |
| 7 | //! |
| 8 | //! ``` |
| 9 | //! use oxedyne_fe2o3_text::unicode::norm::{ |
| 10 | //! self, |
| 11 | //! Form, |
| 12 | //! }; |
| 13 | //! |
| 14 | //! // The same text, spelled two ways. |
| 15 | //! assert_eq!(norm::nfc("A\u{030A}"), "\u{00C5}"); |
| 16 | //! assert_eq!(norm::nfd("\u{00C5}"), "A\u{030A}"); |
| 17 | //! |
| 18 | //! // A compatibility form folds away a presentation difference. |
| 19 | //! assert_eq!(norm::normalise("\u{FB01}", Form::Nfkc), "fi"); |
| 20 | //! ``` |
| 21 | |
| 22 | use crate::unicode::{ |
| 23 | lookup, |
| 24 | tables::norm::{ |
| 25 | CANON_KEYS, |
| 26 | CANON_OFFS, |
| 27 | CANON_POOL, |
| 28 | CCC_STARTS, |
| 29 | CCC_VALS, |
| 30 | COMPAT_KEYS, |
| 31 | COMPAT_OFFS, |
| 32 | COMPAT_POOL, |
| 33 | COMPOSE_FIRST, |
| 34 | COMPOSE_SECOND, |
| 35 | COMPOSE_VALS, |
| 36 | }, |
| 37 | }; |
| 38 | |
| 39 | use oxedyne_fe2o3_core::prelude::*; |
| 40 | |
| 41 | /// The first Hangul syllable. |
| 42 | const S_BASE: u32 = 0xAC00; |
| 43 | /// The first Hangul leading jamo. |
| 44 | const L_BASE: u32 = 0x1100; |
| 45 | /// The first Hangul vowel jamo. |
| 46 | const V_BASE: u32 = 0x1161; |
| 47 | /// One before the first Hangul trailing jamo, which is why a trailing jamo index of zero means |
| 48 | /// there is none. |
| 49 | const T_BASE: u32 = 0x11A7; |
| 50 | /// The number of Hangul leading jamo. |
| 51 | const L_COUNT: u32 = 19; |
| 52 | /// The number of Hangul vowel jamo. |
| 53 | const V_COUNT: u32 = 21; |
| 54 | /// The number of Hangul trailing jamo, counting the absent one. |
| 55 | const T_COUNT: u32 = 28; |
| 56 | /// The number of Hangul syllables per leading jamo. |
| 57 | const N_COUNT: u32 = V_COUNT * T_COUNT; |
| 58 | /// The number of Hangul syllables. |
| 59 | const S_COUNT: u32 = L_COUNT * N_COUNT; |
| 60 | |
| 61 | /// A Unicode normalisation form. |
| 62 | #[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)] |
| 63 | pub enum Form { |
| 64 | /// Canonical decomposition followed by canonical composition. |
| 65 | Nfc, |
| 66 | /// Canonical decomposition. |
| 67 | Nfd, |
| 68 | /// Compatibility decomposition followed by canonical composition. |
| 69 | Nfkc, |
| 70 | /// Compatibility decomposition. |
| 71 | Nfkd, |
| 72 | } |
| 73 | |
| 74 | impl Form { |
| 75 | |
| 76 | /// Whether the form decomposes compatibility as well as canonical equivalents. |
| 77 | pub fn is_compat(&self) -> bool { |
| 78 | matches!(self, Self::Nfkc | Self::Nfkd) |
| 79 | } |
| 80 | |
| 81 | /// Whether the form recomposes after decomposing. |
| 82 | pub fn is_composed(&self) -> bool { |
| 83 | matches!(self, Self::Nfc | Self::Nfkc) |
| 84 | } |
| 85 | } |
| 86 | |
| 87 | /// Returns the canonical combining class of `c`. |
| 88 | pub fn combining_class(c: char) -> u8 { |
| 89 | lookup::flags(&CCC_STARTS, &CCC_VALS, c) |
| 90 | } |
| 91 | |
| 92 | /// Returns `s` in the given normalisation form. |
| 93 | pub fn normalise(s: &str, form: Form) -> String { |
| 94 | |
| 95 | // Text that is entirely ASCII is already in every form, since no ASCII character decomposes, |
| 96 | // composes or carries a combining class. |
| 97 | if s.is_ascii() { |
| 98 | return s.to_string(); |
| 99 | } |
| 100 | |
| 101 | let mut buf = Vec::with_capacity(s.len()); |
| 102 | for c in s.chars() { |
| 103 | decompose(c, form.is_compat(), &mut buf); |
| 104 | } |
| 105 | order(&mut buf); |
| 106 | if form.is_composed() { |
| 107 | buf = compose(&buf); |
| 108 | } |
| 109 | buf.into_iter().collect() |
| 110 | } |
| 111 | |
| 112 | /// Returns `s` in normalisation form C. |
| 113 | pub fn nfc(s: &str) -> String { |
| 114 | normalise(s, Form::Nfc) |
| 115 | } |
| 116 | |
| 117 | /// Returns `s` in normalisation form D. |
| 118 | pub fn nfd(s: &str) -> String { |
| 119 | normalise(s, Form::Nfd) |
| 120 | } |
| 121 | |
| 122 | /// Returns `s` in normalisation form KC. |
| 123 | pub fn nfkc(s: &str) -> String { |
| 124 | normalise(s, Form::Nfkc) |
| 125 | } |
| 126 | |
| 127 | /// Returns `s` in normalisation form KD. |
| 128 | pub fn nfkd(s: &str) -> String { |
| 129 | normalise(s, Form::Nfkd) |
| 130 | } |
| 131 | |
| 132 | /// Whether `s` is already in the given form. |
| 133 | pub fn is_normalised(s: &str, form: Form) -> bool { |
| 134 | normalise(s, form) == s |
| 135 | } |
| 136 | |
| 137 | /// Whether `a` and `b` are canonically equivalent, that is, whether they are the same text spelled |
| 138 | /// differently. |
| 139 | pub fn eq_canonical(a: &str, b: &str) -> bool { |
| 140 | nfd(a) == nfd(b) |
| 141 | } |
| 142 | |
| 143 | /// Whether `a` and `b` are compatibility equivalent. |
| 144 | pub fn eq_compat(a: &str, b: &str) -> bool { |
| 145 | nfkd(a) == nfkd(b) |
| 146 | } |
| 147 | |
| 148 | /// Appends the full decomposition of `c` to `out`, recursing until nothing decomposes further. |
| 149 | fn decompose(c: char, compat: bool, out: &mut Vec<char>) { |
| 150 | |
| 151 | let cp = c as u32; |
| 152 | |
| 153 | // A Hangul syllable decomposes arithmetically rather than by table. |
| 154 | if cp >= S_BASE && cp < S_BASE + S_COUNT { |
| 155 | let i = cp - S_BASE; |
| 156 | let l = L_BASE + i / N_COUNT; |
| 157 | let v = V_BASE + (i % N_COUNT) / T_COUNT; |
| 158 | let t = T_BASE + i % T_COUNT; |
| 159 | push(out, l); |
| 160 | push(out, v); |
| 161 | if i % T_COUNT != 0 { |
| 162 | push(out, t); |
| 163 | } |
| 164 | return; |
| 165 | } |
| 166 | |
| 167 | if compat { |
| 168 | if let Some(seq) = mapping(&COMPAT_KEYS, &COMPAT_OFFS, &COMPAT_POOL, c) { |
| 169 | for d in seq { |
| 170 | decompose(*d, compat, out); |
| 171 | } |
| 172 | return; |
| 173 | } |
| 174 | } |
| 175 | |
| 176 | if let Some(seq) = mapping(&CANON_KEYS, &CANON_OFFS, &CANON_POOL, c) { |
| 177 | for d in seq { |
| 178 | decompose(*d, compat, out); |
| 179 | } |
| 180 | return; |
| 181 | } |
| 182 | |
| 183 | out.push(c); |
| 184 | } |
| 185 | |
| 186 | /// Returns the decomposition of `c` in one of the mapping tables. |
| 187 | fn mapping<'a>( |
| 188 | keys: &[u32], |
| 189 | offs: &[u32], |
| 190 | pool: &'a [char], |
| 191 | c: char, |
| 192 | ) |
| 193 | -> Option<&'a [char]> |
| 194 | { |
| 195 | let i = match lookup::find(keys, c) { |
| 196 | Some(i) => i, |
| 197 | None => return None, |
| 198 | }; |
| 199 | let a = lookup::get(offs, i, 0) as usize; |
| 200 | let b = lookup::get(offs, i + 1, 0) as usize; |
| 201 | Some(lookup::pool(pool, a, b)) |
| 202 | } |
| 203 | |
| 204 | /// Puts the combining marks of `buf` into canonical order, which is a stable sort of each run of |
| 205 | /// non-starters by combining class. |
| 206 | fn order(buf: &mut [char]) { |
| 207 | let n = buf.len(); |
| 208 | if n < 2 { |
| 209 | return; |
| 210 | } |
| 211 | // An insertion sort, which is stable, and which touches nothing outside a run of marks because |
| 212 | // a starter has class zero and so never moves. |
| 213 | for i in 1..n { |
| 214 | let c = buf[i]; |
| 215 | let cc = combining_class(c); |
| 216 | if cc == 0 { |
| 217 | continue; |
| 218 | } |
| 219 | let mut j = i; |
| 220 | while j > 0 { |
| 221 | let prev = combining_class(buf[j - 1]); |
| 222 | if prev <= cc { |
| 223 | break; |
| 224 | } |
| 225 | buf[j] = buf[j - 1]; |
| 226 | j -= 1; |
| 227 | } |
| 228 | buf[j] = c; |
| 229 | } |
| 230 | } |
| 231 | |
| 232 | /// Recombines a decomposed, canonically ordered sequence. |
| 233 | fn compose(buf: &[char]) -> Vec<char> { |
| 234 | |
| 235 | let mut out: Vec<char> = Vec::with_capacity(buf.len()); |
| 236 | let mut starter = None; // Index in `out` of the last starter |
| 237 | let mut prev_ccc = 0u8; // Class of the character last appended |
| 238 | |
| 239 | for c in buf { |
| 240 | let cc = combining_class(*c); |
| 241 | if let Some(li) = starter { |
| 242 | // The character is blocked from the starter if anything between them has a class that |
| 243 | // is zero, or is not lower than its own. The sequence is canonically ordered, so the |
| 244 | // character immediately before it carries the highest class of the run. |
| 245 | let adjacent = out.len() == li + 1; |
| 246 | let blocked = !adjacent && prev_ccc >= cc; |
| 247 | if !blocked { |
| 248 | if let Some(comp) = primary_composite(lookup::get(&out, li, *c), *c) { |
| 249 | if let Some(slot) = out.get_mut(li) { |
| 250 | *slot = comp; |
| 251 | continue; |
| 252 | } |
| 253 | } |
| 254 | } |
| 255 | } |
| 256 | if cc == 0 { |
| 257 | starter = Some(out.len()); |
| 258 | } |
| 259 | prev_ccc = cc; |
| 260 | out.push(*c); |
| 261 | } |
| 262 | |
| 263 | out |
| 264 | } |
| 265 | |
| 266 | /// Returns the primary composite of `a` and `b`, if the pair has one. |
| 267 | fn primary_composite(a: char, b: char) -> Option<char> { |
| 268 | |
| 269 | let (x, y) = (a as u32, b as u32); |
| 270 | |
| 271 | // Hangul composes arithmetically: a leading and a vowel jamo make an LV syllable, and an LV |
| 272 | // syllable and a trailing jamo make an LVT syllable. |
| 273 | if x >= L_BASE && x < L_BASE + L_COUNT && y >= V_BASE && y < V_BASE + V_COUNT { |
| 274 | let li = x - L_BASE; |
| 275 | let vi = y - V_BASE; |
| 276 | return char::from_u32(S_BASE + (li * V_COUNT + vi) * T_COUNT); |
| 277 | } |
| 278 | if x >= S_BASE && x < S_BASE + S_COUNT && (x - S_BASE) % T_COUNT == 0 |
| 279 | && y > T_BASE && y < T_BASE + T_COUNT |
| 280 | { |
| 281 | return char::from_u32(x + (y - T_BASE)); |
| 282 | } |
| 283 | |
| 284 | // The remaining composites are a sorted table of pairs. |
| 285 | let mut lo = 0usize; |
| 286 | let mut hi = COMPOSE_FIRST.len(); |
| 287 | while lo < hi { |
| 288 | let mid = lo + (hi - lo) / 2; |
| 289 | let fa = lookup::get(&COMPOSE_FIRST, mid, 0); |
| 290 | let fb = lookup::get(&COMPOSE_SECOND, mid, 0); |
| 291 | if (fa, fb) < (x, y) { |
| 292 | lo = mid + 1; |
| 293 | } else if (fa, fb) > (x, y) { |
| 294 | hi = mid; |
| 295 | } else { |
| 296 | return COMPOSE_VALS.get(mid).copied(); |
| 297 | } |
| 298 | } |
| 299 | |
| 300 | None |
| 301 | } |
| 302 | |
| 303 | /// Pushes a code point that a Hangul index has produced, which is always a valid character. |
| 304 | fn push(out: &mut Vec<char>, cp: u32) { |
| 305 | if let Some(c) = char::from_u32(cp) { |
| 306 | out.push(c); |
| 307 | } |
| 308 | } |
| 309 | |
| 310 | /// Returns an error if a generated normalisation table has lost an invariant the lookups rely on. |
| 311 | /// The `tables_are_consistent` test calls it. |
| 312 | pub fn check_tables() -> Outcome<()> { |
| 313 | |
| 314 | if CANON_OFFS.len() != CANON_KEYS.len() + 1 { |
| 315 | return Err(err!( |
| 316 | "CANON_OFFS has {} entries, expected {} for {} keys.", |
| 317 | CANON_OFFS.len(), CANON_KEYS.len() + 1, CANON_KEYS.len(); Bug, Mismatch, Size)); |
| 318 | } |
| 319 | if COMPAT_OFFS.len() != COMPAT_KEYS.len() + 1 { |
| 320 | return Err(err!( |
| 321 | "COMPAT_OFFS has {} entries, expected {} for {} keys.", |
| 322 | COMPAT_OFFS.len(), COMPAT_KEYS.len() + 1, COMPAT_KEYS.len(); Bug, Mismatch, Size)); |
| 323 | } |
| 324 | if lookup::get(&CANON_OFFS, CANON_KEYS.len(), 0) as usize != CANON_POOL.len() { |
| 325 | return Err(err!("The last CANON_OFFS entry does not end the pool."; Bug, Mismatch)); |
| 326 | } |
| 327 | if lookup::get(&COMPAT_OFFS, COMPAT_KEYS.len(), 0) as usize != COMPAT_POOL.len() { |
| 328 | return Err(err!("The last COMPAT_OFFS entry does not end the pool."; Bug, Mismatch)); |
| 329 | } |
| 330 | if COMPOSE_FIRST.len() != COMPOSE_SECOND.len() || COMPOSE_FIRST.len() != COMPOSE_VALS.len() { |
| 331 | return Err(err!( |
| 332 | "The composition tables are {}, {} and {} long, and must agree.", |
| 333 | COMPOSE_FIRST.len(), COMPOSE_SECOND.len(), COMPOSE_VALS.len(); Bug, Mismatch, Size)); |
| 334 | } |
| 335 | for i in 1..COMPOSE_FIRST.len() { |
| 336 | let a = (lookup::get(&COMPOSE_FIRST, i - 1, 0), lookup::get(&COMPOSE_SECOND, i - 1, 0)); |
| 337 | let b = (lookup::get(&COMPOSE_FIRST, i, 0), lookup::get(&COMPOSE_SECOND, i, 0)); |
| 338 | if a >= b { |
| 339 | return Err(err!( |
| 340 | "The composition table is not sorted at entry {}.", i; Bug, Order)); |
| 341 | } |
| 342 | } |
| 343 | for i in 1..CCC_STARTS.len() { |
| 344 | if lookup::get(&CCC_STARTS, i - 1, 0) >= lookup::get(&CCC_STARTS, i, 0) { |
| 345 | return Err(err!( |
| 346 | "The combining class table is not sorted at entry {}.", i; Bug, Order)); |
| 347 | } |
| 348 | } |
| 349 | |
| 350 | // Every partition table must begin at U+0000, or a lookup below its first run start would fall |
| 351 | // off the front. |
| 352 | if lookup::get(&CCC_STARTS, 0, 1) != 0 { |
| 353 | return Err(err!("The combining class table does not begin at U+0000."; Bug, Invalid)); |
| 354 | } |
| 355 | |
| 356 | Ok(()) |
| 357 | } |