trit-core 0.8.0

三值逻辑核心:Kleene / Łukasiewicz / Bochvar 语义、AST、解析器、位并行表示与二进制互操作
Documentation
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
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
//! 位切片三值向量:与二进制位平面零拷贝互操作。
//!
//! 三值是双导轨 `(ones, unknowns)`:`(0,0)=False`、`(1,0)=True`、`(0,1)=Unknown`。
//! 二进制数据就是 `unknowns` 缺失(`None`)的 `TriVec`:
//!
//! ```
//! use trit_core::{TriVec, Ternary};
//! let words = vec![0b1010u64];
//! let v = TriVec::from_binary(words, 4);
//! assert_eq!(v.unknowns(), None);
//! assert_eq!(v.get(1), Ternary::True);
//! assert_eq!(v.get(0), Ternary::False);
//! assert_eq!(v.to_bools().unwrap(), vec![false, true, false, true]);
//! ```
//!
//! `from_binary` 直接接管 `Vec<u64>`,不复制、不分配 unknown 平面;
//! 只有显式写入 `Unknown` 时才分配第二个平面。

use crate::algebra::Algebra;
use crate::bits::TriBit;
use crate::value::Ternary;

/// `TriVec` 形状错误。
#[derive(Debug, thiserror::Error)]
#[error("TriVec 长度不匹配:{left} vs {right}")]
pub struct ShapeError {
    /// 左操作数长度。
    pub left: usize,
    /// 右操作数长度。
    pub right: usize,
}

/// 位切片的三值向量。
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct TriVec {
    len: usize,
    ones: Vec<u64>,
    unknowns: Option<Vec<u64>>,
}

impl TriVec {
    /// 零拷贝接管二进制位平面:`ones` 的位为 1 表示 `True`,0 表示 `False`。
    ///
    /// `ones` 必须至少覆盖 `len` 位;多余字会被截断,末尾多余位会被清零。
    pub fn from_binary(mut ones: Vec<u64>, len: usize) -> Self {
        assert!(
            ones.len() * 64 >= len,
            "位平面不足以覆盖 {len} 位:{} words",
            ones.len()
        );
        let words = len.div_ceil(64);
        ones.truncate(words);
        if let Some(last) = ones.last_mut() {
            *last &= last_mask(len);
        }
        Self {
            len,
            ones,
            unknowns: None,
        }
    }

    /// 从 `bool` 切片打包。
    pub fn from_bools(bits: &[bool]) -> Self {
        let mut ones = vec![0u64; bits.len().div_ceil(64)];
        for (i, &bit) in bits.iter().enumerate() {
            if bit {
                ones[i / 64] |= 1u64 << (i % 64);
            }
        }
        Self {
            len: bits.len(),
            ones,
            unknowns: None,
        }
    }

    /// 从标量三值切片打包。
    pub fn from_ternary(values: &[Ternary]) -> Self {
        let mut ones = vec![0u64; values.len().div_ceil(64)];
        let mut unknowns: Option<Vec<u64>> = None;
        for (i, &value) in values.iter().enumerate() {
            match value {
                Ternary::False => {}
                Ternary::True => ones[i / 64] |= 1u64 << (i % 64),
                Ternary::Unknown => {
                    let planes = unknowns.get_or_insert_with(|| vec![0u64; ones.len()]);
                    planes[i / 64] |= 1u64 << (i % 64);
                }
            }
        }
        Self {
            len: values.len(),
            ones,
            unknowns,
        }
    }

    /// 若全部是二值,解包成 `bool`;含 `Unknown` 时返回 `None`。
    pub fn to_bools(&self) -> Option<Vec<bool>> {
        if !self.is_binary() {
            return None;
        }
        let mut out = Vec::with_capacity(self.len);
        for i in 0..self.len {
            out.push(self.get(i).is_true());
        }
        Some(out)
    }

    /// 长度。
    pub fn len(&self) -> usize {
        self.len
    }

    /// 是否为空。
    pub fn is_empty(&self) -> bool {
        self.len == 0
    }

    /// 位平面字数。
    pub fn words(&self) -> usize {
        self.ones.len()
    }

    /// 是否为纯二值(没有 `Unknown`)。
    pub fn is_binary(&self) -> bool {
        self.unknowns
            .as_ref()
            .is_none_or(|planes| planes.iter().all(|&w| w == 0))
    }

    /// `ones` 位平面(只读)。
    pub fn ones(&self) -> &[u64] {
        &self.ones
    }

    /// `unknowns` 位平面;`None` 表示纯二值。
    pub fn unknowns(&self) -> Option<&[u64]> {
        self.unknowns.as_deref()
    }

    /// 取第 `i` 个三值。
    pub fn get(&self, i: usize) -> Ternary {
        assert!(i < self.len, "索引 {i} 越界(len={})", self.len);
        let ones = (self.ones[i / 64] >> (i % 64)) & 1;
        let unknowns = self
            .unknowns
            .as_ref()
            .map_or(0, |planes| (planes[i / 64] >> (i % 64)) & 1);
        match (ones, unknowns) {
            (1, 0) => Ternary::True,
            (0, 1) => Ternary::Unknown,
            _ => Ternary::False,
        }
    }

    /// 写第 `i` 个三值;首次写 `Unknown` 时分配 unknown 平面。
    pub fn set(&mut self, i: usize, value: Ternary) {
        assert!(i < self.len, "索引 {i} 越界(len={})", self.len);
        let word = i / 64;
        let bit = 1u64 << (i % 64);
        match value {
            Ternary::False => {
                self.ones[word] &= !bit;
                if let Some(planes) = &mut self.unknowns {
                    planes[word] &= !bit;
                }
            }
            Ternary::True => {
                self.ones[word] |= bit;
                if let Some(planes) = &mut self.unknowns {
                    planes[word] &= !bit;
                }
            }
            Ternary::Unknown => {
                let planes = self
                    .unknowns
                    .get_or_insert_with(|| vec![0u64; self.ones.len()]);
                planes[word] |= bit;
                self.ones[word] &= !bit;
            }
        }
    }

    /// `Unknown` 的个数。
    pub fn count_unknowns(&self) -> usize {
        self.unknowns.as_ref().map_or(0, |planes| {
            planes.iter().map(|w| w.count_ones() as usize).sum()
        })
    }

    /// 取整个字(64 路)的位并行表示。
    pub fn word(&self, word: usize) -> TriBit {
        assert!(word < self.ones.len(), "字索引越界");
        TriBit {
            ones: crate::bits::BitPlane(self.ones[word]),
            unknowns: crate::bits::BitPlane(
                self.unknowns.as_ref().map_or(0, |planes| planes[word]),
            ),
        }
    }

    /// 原地取反:`True`/`False` 互换,`Unknown` 不变。
    pub fn not(&mut self) {
        let mask = last_mask(self.len);
        for (w, ones) in self.ones.iter_mut().enumerate() {
            let x = self.unknowns.as_ref().map_or(0, |planes| planes[w]);
            *ones = !(*ones | x) & mask_of(w, self.len, mask);
        }
    }

    /// 原地与。K3/Ł3 用格序,B3 用毒值。
    pub fn and_assign(&mut self, other: &Self, alg: Algebra) -> Result<(), ShapeError> {
        self.check_shape(other)?;
        let mask = last_mask(self.len);
        let both_binary = self.unknowns.is_none() && other.unknowns.is_none();
        let mut new_unknowns = if both_binary {
            None
        } else {
            Some(Vec::with_capacity(self.ones.len()))
        };
        for w in 0..self.ones.len() {
            let o1 = self.ones[w];
            let o2 = other.ones[w];
            let x1 = self.unknowns.as_ref().map_or(0, |p| p[w]);
            let x2 = other.unknowns.as_ref().map_or(0, |p| p[w]);
            let m = mask_of(w, self.len, mask);
            let (o, x) = match alg {
                Algebra::Bochvar => {
                    let x_out = (x1 | x2) & m;
                    ((o1 & o2) & !x_out & m, x_out)
                }
                Algebra::Kleene | Algebra::Lukasiewicz => {
                    let f1 = !o1 & !x1;
                    let f2 = !o2 & !x2;
                    let o_out = (o1 & o2) & m;
                    let f_out = (f1 | f2) & m;
                    (o_out, !(o_out | f_out) & m)
                }
            };
            self.ones[w] = o;
            if let Some(planes) = &mut new_unknowns {
                planes.push(x);
            }
        }
        match new_unknowns {
            Some(planes) => self.replace_unknowns(planes),
            None => self.unknowns = None,
        }
        Ok(())
    }

    /// 原地或。K3/Ł3 用格序,B3 用毒值。
    pub fn or_assign(&mut self, other: &Self, alg: Algebra) -> Result<(), ShapeError> {
        self.check_shape(other)?;
        let mask = last_mask(self.len);
        let both_binary = self.unknowns.is_none() && other.unknowns.is_none();
        let mut new_unknowns = if both_binary {
            None
        } else {
            Some(Vec::with_capacity(self.ones.len()))
        };
        for w in 0..self.ones.len() {
            let o1 = self.ones[w];
            let o2 = other.ones[w];
            let x1 = self.unknowns.as_ref().map_or(0, |p| p[w]);
            let x2 = other.unknowns.as_ref().map_or(0, |p| p[w]);
            let m = mask_of(w, self.len, mask);
            let (o, x) = match alg {
                Algebra::Bochvar => {
                    let x_out = (x1 | x2) & m;
                    ((o1 | o2) & !x_out & m, x_out)
                }
                Algebra::Kleene | Algebra::Lukasiewicz => {
                    let f1 = !o1 & !x1;
                    let f2 = !o2 & !x2;
                    let o_out = (o1 | o2) & m;
                    let f_out = (f1 & f2) & m;
                    (o_out, !(o_out | f_out) & m)
                }
            };
            self.ones[w] = o;
            if let Some(planes) = &mut new_unknowns {
                planes.push(x);
            }
        }
        match new_unknowns {
            Some(planes) => self.replace_unknowns(planes),
            None => self.unknowns = None,
        }
        Ok(())
    }

    fn replace_unknowns(&mut self, planes: Vec<u64>) {
        if planes.iter().all(|&w| w == 0) {
            self.unknowns = None;
        } else {
            self.unknowns = Some(planes);
        }
    }

    fn check_shape(&self, other: &Self) -> Result<(), ShapeError> {
        if self.len == other.len {
            Ok(())
        } else {
            Err(ShapeError {
                left: self.len,
                right: other.len,
            })
        }
    }
}

fn last_mask(len: usize) -> u64 {
    match len % 64 {
        0 => u64::MAX,
        r => (1u64 << r) - 1,
    }
}

fn mask_of(word: usize, len: usize, last: u64) -> u64 {
    let words = len.div_ceil(64);
    if word + 1 == words { last } else { u64::MAX }
}

#[cfg(test)]
mod tests {
    use super::*;

    fn sample(len: usize, seed: u64) -> Vec<Ternary> {
        let mut x = seed;
        (0..len)
            .map(|_| {
                x = x.wrapping_mul(6364136223846793005).wrapping_add(1);
                match (x >> 32) % 3 {
                    0 => Ternary::False,
                    1 => Ternary::True,
                    _ => Ternary::Unknown,
                }
            })
            .collect()
    }

    #[test]
    fn binary_view_is_zero_copy_and_roundtrips() {
        for len in [0usize, 1, 63, 64, 65, 130] {
            let bits: Vec<bool> = (0..len).map(|i| i % 3 == 0).collect();
            let v = TriVec::from_bools(&bits);
            assert_eq!(v.unknowns(), None);
            assert!(v.is_binary());
            assert_eq!(v.to_bools().unwrap(), bits);
            let words = v.ones().to_vec();
            let moved = TriVec::from_binary(words, len);
            assert_eq!(moved.to_bools().unwrap(), bits);
        }
    }

    #[test]
    fn from_binary_normalizes_oversized_planes() {
        let normalized = TriVec::from_binary(vec![0, 0], 1);
        assert_eq!(normalized.words(), 1);
        assert_eq!(normalized, TriVec::from_binary(vec![0], 1));

        // 尾部 padding 必须被清零
        let masked = TriVec::from_binary(vec![u64::MAX], 3);
        assert_eq!(masked.to_bools().unwrap(), vec![true, true, true]);

        // 物理字数不同的两个向量可以安全运算
        let mut left = TriVec::from_binary(vec![1, 0], 1);
        let right = TriVec::from_binary(vec![1], 1);
        left.and_assign(&right, Algebra::Kleene).unwrap();
        assert_eq!(left.to_bools().unwrap(), vec![true]);
    }

    #[test]
    fn unknown_allocates_lazily() {
        let mut v = TriVec::from_bools(&[true, false]);
        assert_eq!(v.unknowns(), None);
        v.set(1, Ternary::Unknown);
        assert!(v.unknowns().is_some());
        assert_eq!(v.get(1), Ternary::Unknown);
        assert_eq!(v.to_bools(), None);
        assert_eq!(v.count_unknowns(), 1);
    }

    #[test]
    fn bit_ops_match_scalar() {
        for alg in Algebra::ALL {
            let a = sample(130, 7);
            let b = sample(130, 11);
            let mut va = TriVec::from_ternary(&a);
            let vb = TriVec::from_ternary(&b);
            va.and_assign(&vb, alg).unwrap();
            for i in 0..a.len() {
                assert_eq!(va.get(i), alg.and(a[i], b[i]), "{alg:?} and at {i}");
            }
            let mut va = TriVec::from_ternary(&a);
            va.or_assign(&vb, alg).unwrap();
            for i in 0..a.len() {
                assert_eq!(va.get(i), alg.or(a[i], b[i]), "{alg:?} or at {i}");
            }
        }
    }

    #[test]
    fn not_matches_scalar() {
        let a = sample(96, 3);
        let mut v = TriVec::from_ternary(&a);
        v.not();
        for (i, &value) in a.iter().enumerate() {
            assert_eq!(v.get(i), Algebra::Kleene.not(value), "not at {i}");
        }
    }

    #[test]
    fn shape_mismatch_is_an_error() {
        let mut a = TriVec::from_bools(&[true, false]);
        let b = TriVec::from_bools(&[true]);
        assert!(a.and_assign(&b, Algebra::Kleene).is_err());
    }
}