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
//! Deterministic computation primitives for CJC.
//!
//! This crate provides the foundational building blocks that guarantee
//! **bit-identical** results across runs, platforms, and thread counts:
//!
//! - [`Rng`] -- a SplitMix64 PRNG with explicit seed threading. Same seed
//! produces the identical sequence on every platform.
//! - [`KahanAccumulatorF64`] / [`KahanAccumulatorF32`] -- incremental
//! compensated-summation accumulators (re-exported from the [`kahan`] module).
//! - [`kahan_sum_f64`] / [`kahan_sum_f32`] -- one-shot compensated summation
//! over slices.
//! - [`pairwise_sum_f64`] -- recursive pairwise summation that falls back to
//! Kahan summation for leaves of 32 elements or fewer.
//! - [`ReproConfig`] -- a lightweight toggle that carries the reproducibility
//! seed through the compiler pipeline.
//!
//! # Determinism contract
//!
//! All primitives in this crate are **serial and deterministic**. When the
//! same inputs are provided in the same order, the output is bit-for-bit
//! identical regardless of the host platform, compiler version, or OS.
//!
//! No `HashMap`, no FMA, no non-deterministic SIMD reductions.
pub use ;
/// Deterministic pseudo-random number generator using the SplitMix64 algorithm.
///
/// Guarantees identical sequences for the same seed across all platforms.
/// SplitMix64 has a period of 2^64 and passes BigCrush statistical tests.
///
/// # Determinism
///
/// Two [`Rng`] instances created with the same seed will always produce the
/// exact same sequence of values, regardless of the host OS or architecture.
/// This is the backbone of CJC's reproducible computation model.
///
/// # Examples
///
/// ```
/// use cjc_repro::Rng;
///
/// let mut rng = Rng::seeded(42);
/// let a = rng.next_f64(); // deterministic value in [0, 1)
/// let b = rng.next_u64(); // deterministic u64
/// ```
/// Computes the sum of a slice of `f64` values using Kahan compensated summation.
///
/// Achieves an error bound of O(epsilon) for *n* summands, compared to O(*n* * epsilon)
/// for naive left-to-right addition. Uses only two scalar registers (sum and
/// compensation) with no heap allocation.
///
/// # Arguments
///
/// * `values` -- The slice of `f64` values to sum.
///
/// # Returns
///
/// The compensated sum as `f64`.
///
/// # Determinism
///
/// The result is deterministic for a given input slice. Different orderings of
/// the same values may yield different (but equally stable) results.
///
/// # Examples
///
/// ```
/// use cjc_repro::kahan_sum_f64;
/// let vals: Vec<f64> = (0..10_000).map(|_| 0.0001).collect();
/// let sum = kahan_sum_f64(&vals);
/// assert!((sum - 1.0).abs() < 1e-10);
/// ```
/// Computes the sum of a slice of `f32` values using Kahan compensated summation.
///
/// This is the single-precision counterpart to [`kahan_sum_f64`]. The error
/// bound is O(epsilon) relative to `f32` machine epsilon, with no heap
/// allocation.
///
/// # Arguments
///
/// * `values` -- The slice of `f32` values to sum.
///
/// # Returns
///
/// The compensated sum as `f32`.
///
/// # Determinism
///
/// Deterministic for a given input slice ordering.
/// Computes the sum of a slice of `f64` values using recursive pairwise summation.
///
/// Recursively splits the slice in half and sums each half independently.
/// Leaves of 32 elements or fewer are reduced with [`kahan_sum_f64`]. This
/// yields an error bound of O(epsilon * log2(*n*)) with good cache locality.
///
/// # Arguments
///
/// * `values` -- The slice of `f64` values to sum.
///
/// # Returns
///
/// The pairwise-compensated sum as `f64`.
///
/// # Determinism
///
/// Deterministic for a given input slice. The recursive split point is always
/// `len / 2`, so the tree structure is fully determined by the length.
///
/// # Examples
///
/// ```
/// use cjc_repro::pairwise_sum_f64;
/// let vals: Vec<f64> = (0..10_000).map(|_| 0.0001).collect();
/// let sum = pairwise_sum_f64(&vals);
/// assert!((sum - 1.0).abs() < 1e-10);
/// ```
/// Configuration that controls whether deterministic reproducibility is active.
///
/// When `enabled` is `true`, the runtime seeds all [`Rng`] instances from
/// [`seed`](ReproConfig::seed) and enforces deterministic reduction ordering.
/// When `enabled` is `false`, the seed field is ignored and the runtime may
/// use a non-deterministic source.
///
/// # Examples
///
/// ```
/// use cjc_repro::ReproConfig;
///
/// let cfg = ReproConfig::enabled(42);
/// assert!(cfg.enabled);
/// assert_eq!(cfg.seed, 42);
///
/// let off = ReproConfig::disabled();
/// assert!(!off.enabled);
/// ```