chronix-encoding 0.4.0

Column-oriented encoding and compression for the Chronix time-series database
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
//! Frame-of-Reference (FOR) encoding for integer columns.
//!
//! FOR encoding stores each value as a small, fixed-width offset from
//! a per-block reference value (the minimum). This is optimal for columns
//! where all values fall within a **narrow range** — e.g. HTTP status codes,
//! sensor readings that hover around a baseline, or enum-style identifiers.
//!
//! Unlike delta encoding (which stores differences between *consecutive*
//! values), FOR stores differences from a *global* reference (the block
//! minimum). This makes FOR ideal for data with a tight value range but
//! no predictable ordering, while delta encoding excels at monotonic or
//! slowly-changing sequences.
//!
//! ## Wire format
//!
//! ```text
//! [count: u32 LE][reference: i64 LE][bit_width: u8][packed offsets…]
//! ```
//!
//! - **count** — number of values (max `u32::MAX`).
//! - **reference** — the minimum value in the block.
//! - **bit_width** — bits needed to represent the largest offset from
//!   reference (0–64). When 0, all values equal the reference.
//! - **packed offsets** — each offset packed at `bit_width` bits, MSB-first.

use crate::coding::{bits_needed, checked_count, checked_decode_count, pack_bits, unpack_bits};
use crate::error::{EncodingError, Result};

/// Header size: `count(4) + reference(8) + bit_width(1)` = 13 bytes.
const HEADER_SIZE: usize = 13;

/// Frame-of-Reference encoder for integer columns.
///
/// Stores each value as `value - reference` using the minimum number of
/// bits. Values must fit in `i64`.
#[derive(Debug, Clone, Copy)]
pub struct ForEncoder;

/// Frame-of-Reference decoder.
#[derive(Debug, Clone, Copy)]
pub struct ForDecoder;

impl ForEncoder {
    /// Encode a sequence of `i64` values using FOR.
    ///
    /// # Errors
    ///
    /// Returns [`EncodingError::EmptyInput`] if `values` is empty.
    pub fn encode_i64(values: &[i64]) -> Result<Vec<u8>> {
        if values.is_empty() {
            return Err(EncodingError::EmptyInput {
                context: "FOR encoder (i64)",
            });
        }

        let count = checked_count(values.len())?;

        // Find the minimum value to use as reference.
        let reference = values.iter().copied().min().unwrap_or(0);

        // Compute offsets and max offset for bit-width calculation.
        // Subtracting the minimum from any value in the range gives a
        // non-negative result, but we use wrapping_sub to avoid panic
        // and reinterpret as u64 (safe because min ≤ v for all v).
        let offsets: Vec<u64> = values
            .iter()
            .map(|&v| v.wrapping_sub(reference) as u64)
            .collect();
        let max_offset = offsets.iter().copied().max().unwrap_or(0);
        let bit_width = bits_needed(max_offset);

        // Pre-allocate: header + packed bits
        let data_bits = offsets.len() as u64 * u64::from(bit_width);
        let data_bytes = data_bits.div_ceil(8) as usize;
        let mut buf = Vec::with_capacity(HEADER_SIZE + data_bytes);

        // Header
        buf.extend_from_slice(&count.to_le_bytes());
        buf.extend_from_slice(&reference.to_le_bytes());
        buf.push(bit_width);

        if bit_width == 0 {
            // All values equal — no data section needed.
            return Ok(buf);
        }

        // Pack offsets at bit_width bits each
        pack_bits(&offsets, bit_width, &mut buf);

        Ok(buf)
    }

    /// Encode a sequence of `u64` values using FOR.
    ///
    /// Uses native u64 arithmetic to avoid bit-width inflation at the
    /// i64 sign boundary (values near `i64::MAX` / `i64::MIN`).
    ///
    /// # Errors
    ///
    /// Returns [`EncodingError::EmptyInput`] if `values` is empty.
    pub fn encode_u64(values: &[u64]) -> Result<Vec<u8>> {
        if values.is_empty() {
            return Err(EncodingError::EmptyInput {
                context: "FOR encoder (u64)",
            });
        }

        let count = checked_count(values.len())?;

        let reference = values.iter().copied().min().unwrap_or(0);

        let offsets: Vec<u64> = values.iter().map(|&v| v - reference).collect();
        let max_offset = offsets.iter().copied().max().unwrap_or(0);
        let bit_width = bits_needed(max_offset);

        let data_bits = offsets.len() as u64 * u64::from(bit_width);
        let data_bytes = data_bits.div_ceil(8) as usize;
        let mut buf = Vec::with_capacity(HEADER_SIZE + data_bytes);

        // Store reference as i64 (reinterpret-cast preserves bits).
        buf.extend_from_slice(&count.to_le_bytes());
        buf.extend_from_slice(&(reference as i64).to_le_bytes());
        buf.push(bit_width);

        if bit_width == 0 {
            return Ok(buf);
        }

        pack_bits(&offsets, bit_width, &mut buf);

        Ok(buf)
    }
}

impl ForDecoder {
    /// Decode a FOR-encoded byte buffer back to `i64` values.
    ///
    /// # Errors
    ///
    /// Returns [`EncodingError::CorruptData`] if the data is malformed.
    pub fn decode_i64(data: &[u8]) -> Result<Vec<i64>> {
        if data.len() < HEADER_SIZE {
            return Err(EncodingError::CorruptData {
                detail: "FOR data too short for header".to_string(),
            });
        }

        let count = checked_decode_count(
            u32::from_le_bytes([data[0], data[1], data[2], data[3]]) as usize,
            "FOR",
        )?;
        let reference = i64::from_le_bytes([
            data[4], data[5], data[6], data[7], data[8], data[9], data[10], data[11],
        ]);
        let bit_width = data[12];

        if bit_width > 64 {
            return Err(EncodingError::CorruptData {
                detail: format!("invalid FOR bit_width {bit_width}, max is 64"),
            });
        }

        if count == 0 {
            return Ok(Vec::new());
        }

        // bit_width == 0 → all values equal the reference
        if bit_width == 0 {
            return Ok(vec![reference; count]);
        }

        // Unpack offsets
        let packed_data = &data[HEADER_SIZE..];
        let offsets = unpack_bits(packed_data, count, bit_width)?;

        // SIMD-friendly batch add scalar
        let mut values = Vec::new();
        crate::simd::batch_add_scalar_i64(reference, &offsets, &mut values);

        Ok(values)
    }

    /// Decode a FOR-encoded byte buffer back to `u64` values.
    ///
    /// Uses native u64 arithmetic, matching the encoder's native u64 path.
    ///
    /// # Errors
    ///
    /// Returns [`EncodingError::CorruptData`] if the data is malformed.
    pub fn decode_u64(data: &[u8]) -> Result<Vec<u64>> {
        if data.len() < HEADER_SIZE {
            return Err(EncodingError::CorruptData {
                detail: "FOR data too short for header".to_string(),
            });
        }

        let count = checked_decode_count(
            u32::from_le_bytes([data[0], data[1], data[2], data[3]]) as usize,
            "FOR",
        )?;
        let reference_i64 = i64::from_le_bytes([
            data[4], data[5], data[6], data[7], data[8], data[9], data[10], data[11],
        ]);
        let reference = reference_i64 as u64;
        let bit_width = data[12];

        if bit_width > 64 {
            return Err(EncodingError::CorruptData {
                detail: format!("invalid FOR bit_width {bit_width}, max is 64"),
            });
        }

        if count == 0 {
            return Ok(Vec::new());
        }

        if bit_width == 0 {
            return Ok(vec![reference; count]);
        }

        let packed_data = &data[HEADER_SIZE..];
        let offsets = unpack_bits(packed_data, count, bit_width)?;

        // SIMD-friendly batch add scalar
        let mut values = Vec::new();
        crate::simd::batch_add_scalar_u64(reference, &offsets, &mut values);

        Ok(values)
    }
}

// ---------------------------------------------------------------------------
// Tests
// ---------------------------------------------------------------------------

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

    #[test]
    fn roundtrip_monotonic() {
        let values: Vec<i64> = (100..200).collect();
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn roundtrip_constant() {
        let values = vec![42_i64; 1000];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        // Constant → bit_width == 0, so payload is just the header.
        assert_eq!(encoded.len(), 13);
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn roundtrip_narrow_range() {
        // HTTP status codes: 200, 201, 204, 301, 302, 400, 404, 500, 502, 503
        let values = vec![200, 201, 204, 301, 302, 400, 404, 500, 502, 503];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);

        // range = 503 - 200 = 303 → 9 bits needed
        // 13 header + ceil(10 * 9 / 8) = 13 + 12 = 25 bytes
        // vs plain: 80 bytes → 3.2× compression
        assert!(encoded.len() < 80);
    }

    #[test]
    fn roundtrip_single_value() {
        let values = vec![i64::MAX];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn roundtrip_negative_values() {
        let values = vec![-100, -50, -10, -5, -1, 0, 5, 10, 50, 100];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn roundtrip_u64() {
        let values: Vec<u64> = (1000..1100).collect();
        let encoded = ForEncoder::encode_u64(&values).unwrap();
        let decoded = ForDecoder::decode_u64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn empty_input_error() {
        assert!(ForEncoder::encode_i64(&[]).is_err());
        assert!(ForEncoder::encode_u64(&[]).is_err());
    }

    #[test]
    fn corrupt_data_too_short() {
        assert!(ForDecoder::decode_i64(&[0; 5]).is_err());
    }

    #[test]
    fn corrupt_bit_width_too_large() {
        let mut data = vec![0u8; 13];
        // count = 1
        data[0] = 1;
        // bit_width = 65 (invalid)
        data[12] = 65;
        assert!(ForDecoder::decode_i64(&data).is_err());
    }

    #[test]
    fn compression_vs_plain_narrow_range() {
        // 1000 values in range [1000, 1015] → 4 bits each
        let values: Vec<i64> = (0..1000).map(|i| 1000 + (i % 16)).collect();
        let raw_size = values.len() * 8; // 8000 bytes
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        // Expected: 13 + ceil(1000 * 4 / 8) = 13 + 500 = 513 bytes
        assert!(
            encoded.len() < raw_size / 10,
            "FOR should achieve >10× for 4-bit range"
        );
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn compression_worse_for_wide_range() {
        // Values spanning the full i64 range — FOR cannot help
        let values = vec![i64::MIN, 0, i64::MAX];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        // 3 values × 64 bits each = 24 bytes data + 13 header = 37 bytes
        // vs plain: 24 bytes
        // FOR is worse here, which is correct — the adaptive selector
        // should not choose FOR for wide-range data.
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn roundtrip_two_values() {
        let values = vec![10_i64, 20];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn roundtrip_all_same_negative() {
        let values = vec![-999_i64; 500];
        let encoded = ForEncoder::encode_i64(&values).unwrap();
        assert_eq!(encoded.len(), 13); // header only, bit_width = 0
        let decoded = ForDecoder::decode_i64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }

    #[test]
    fn u64_sign_boundary_narrow_range() {
        // Values near the i64 sign boundary — reinterpret-as-i64 would
        // see min = i64::MAX and max = i64::MIN, inflating bit_width to 64.
        // Native u64 FOR correctly computes range = 2 → 2 bits.
        let mid = (1u64 << 63) - 1; // i64::MAX as u64
        let values = vec![mid, mid + 1, mid + 2];
        let encoded = ForEncoder::encode_u64(&values).unwrap();
        let decoded = ForDecoder::decode_u64(&encoded).unwrap();
        assert_eq!(values, decoded);

        // Range is 2 → 2 bits per value → 13 + ceil(3*2/8) = 14 bytes.
        assert!(
            encoded.len() <= 14,
            "expected ≤14 bytes, got {}",
            encoded.len()
        );
    }

    #[test]
    fn u64_large_values() {
        let values = vec![u64::MAX - 10, u64::MAX - 5, u64::MAX];
        let encoded = ForEncoder::encode_u64(&values).unwrap();
        let decoded = ForDecoder::decode_u64(&encoded).unwrap();
        assert_eq!(values, decoded);
    }
}

#[cfg(test)]
mod proptests {
    use super::*;
    use proptest::prelude::*;

    proptest! {
        #[test]
        fn roundtrip_i64(values in proptest::collection::vec(any::<i64>(), 1..500)) {
            let encoded = ForEncoder::encode_i64(&values).unwrap();
            let decoded = ForDecoder::decode_i64(&encoded).unwrap();
            prop_assert_eq!(&values, &decoded);
        }

        #[test]
        fn roundtrip_u64(values in proptest::collection::vec(any::<u64>(), 1..500)) {
            let encoded = ForEncoder::encode_u64(&values).unwrap();
            let decoded = ForDecoder::decode_u64(&encoded).unwrap();
            prop_assert_eq!(&values, &decoded);
        }
    }
}