aprender-core 0.34.0

Next-generation machine learning library in pure Rust
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
423
424
// Bundles two sister contracts in one verdict module:
//
//   `f16-conversion-v1` (FALSIFY-F16-001..004)
//   `dpo-loss-v1` (FALSIFY-DPO-001..005)
//
// F16-001: bit-trick f16→f32 matches Rust's f32::from(f16)
// F16-002: f16→f32→f16 roundtrip is identity for normal values
// F16-003: sign preservation under conversion
// F16-004: SIMD f16 conversion bit-exact equal to scalar
// DPO-001: L_DPO ≥ 0 for all valid log-ratio pairs and beta > 0
// DPO-002: L_DPO == log(2) when log_ratio_w == log_ratio_l == 0
// DPO-003: monotonicity in preferred log-ratio (raising r_w lowers loss)
// DPO-004: finite output for log-ratios in [-100, 100]
// DPO-005: symmetry under preference swap

/// DPO-002 reference value: log(2).
pub const AC_DPO_LOSS_AT_ZERO: f32 = std::f32::consts::LN_2;
/// DPO-002 tolerance for log(2) approximation.
pub const AC_DPO_LOG_2_TOLERANCE: f32 = 1e-3;

#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum F16DpoVerdict {
    Pass,
    Fail,
}

// ----------------------------------------------------------------
// F16-001..004
// ----------------------------------------------------------------

/// F16-001: bit-trick output bit-exact equal to Rust's f32::from(f16).
#[must_use]
pub fn verdict_from_f16_bit_trick(
    bittrick_output: f32,
    rust_canonical: f32,
) -> F16DpoVerdict {
    if !bittrick_output.is_finite() && !rust_canonical.is_finite() {
        // Both NaN/Inf — accept if bit pattern matches.
        if bittrick_output.to_bits() == rust_canonical.to_bits() {
            return F16DpoVerdict::Pass;
        }
        return F16DpoVerdict::Fail;
    }
    if bittrick_output.to_bits() == rust_canonical.to_bits() {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// F16-002: roundtrip identity. `original_f16_bits` and
/// `roundtrip_f16_bits` are u16 representations.
#[must_use]
pub fn verdict_from_f16_roundtrip(
    original_f16_bits: u16,
    roundtrip_f16_bits: u16,
) -> F16DpoVerdict {
    if original_f16_bits == roundtrip_f16_bits {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// F16-003: sign preservation.
#[must_use]
pub fn verdict_from_f16_sign(input_sign: bool, output_sign: bool) -> F16DpoVerdict {
    if input_sign == output_sign {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// F16-004: SIMD f16 conversion bit-exact equal to scalar.
#[must_use]
pub fn verdict_from_f16_simd_parity(
    simd_output: &[f32],
    scalar_output: &[f32],
) -> F16DpoVerdict {
    if simd_output.is_empty() || simd_output.len() != scalar_output.len() {
        return F16DpoVerdict::Fail;
    }
    for (s, sc) in simd_output.iter().zip(scalar_output.iter()) {
        if s.to_bits() != sc.to_bits() {
            return F16DpoVerdict::Fail;
        }
    }
    F16DpoVerdict::Pass
}

// ----------------------------------------------------------------
// DPO-001..005
// ----------------------------------------------------------------

/// Reference DPO loss: -log(sigmoid(beta * (r_w - r_l))).
///
/// Uses log1p(exp(-x)) trick for numerical stability.
#[must_use]
pub fn dpo_loss(log_ratio_w: f32, log_ratio_l: f32, beta: f32) -> f32 {
    if !log_ratio_w.is_finite() || !log_ratio_l.is_finite() || !beta.is_finite() {
        return f32::NAN;
    }
    if beta <= 0.0 {
        return f32::NAN;
    }
    let z = beta * (log_ratio_w - log_ratio_l);
    // -log(sigma(z)) = log(1 + exp(-z))
    // Numerically stable via softplus(-z) = max(0, -z) + ln(1 + exp(-|z|))
    let abs_neg_z = (-z).abs();
    (-z).max(0.0) + (1.0 + (-abs_neg_z).exp()).ln()
}

/// DPO-001: L_DPO ≥ 0 for valid inputs.
#[must_use]
pub fn verdict_from_dpo_nonneg(loss: f32) -> F16DpoVerdict {
    if !loss.is_finite() {
        return F16DpoVerdict::Fail;
    }
    if loss >= 0.0 {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// DPO-002: when r_w == r_l == 0, L_DPO == log(2) within tolerance.
#[must_use]
pub fn verdict_from_dpo_at_reference(observed_loss: f32) -> F16DpoVerdict {
    if !observed_loss.is_finite() {
        return F16DpoVerdict::Fail;
    }
    if (observed_loss - AC_DPO_LOSS_AT_ZERO).abs() <= AC_DPO_LOG_2_TOLERANCE {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// DPO-003: monotonicity — raising r_w lowers loss.
///
/// `loss_low` corresponds to lower r_w; `loss_high` to higher r_w.
/// Pass iff `loss_high < loss_low` AND both finite.
#[must_use]
pub fn verdict_from_dpo_monotone(loss_low_rw: f32, loss_high_rw: f32) -> F16DpoVerdict {
    if !loss_low_rw.is_finite() || !loss_high_rw.is_finite() {
        return F16DpoVerdict::Fail;
    }
    if loss_high_rw < loss_low_rw {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// DPO-004: loss finite for extreme log-ratios.
#[must_use]
pub fn verdict_from_dpo_stability(observed_loss: f32) -> F16DpoVerdict {
    if observed_loss.is_finite() {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

/// DPO-005: symmetry — L(r_w, r_l) + L(r_l, r_w) ≈ |z| + 2*log(1+exp(-|z|))
/// for z = beta*(r_w - r_l). We use a simpler check: the sum equals
/// `|z| + 2 * dpo_loss(0, 0, 1)` adjusted for z, which simplifies to
/// `softplus(z) + softplus(-z)` — the `log(1+exp(-|z|))` is included.
/// Per the YAML, the analytical form is:
///   L(r_w,r_l) + L(r_l,r_w) = z + 2*log(1+exp(-|z|))
#[must_use]
pub fn verdict_from_dpo_symmetry(
    sum_observed: f32,
    z: f32,
    tolerance: f32,
) -> F16DpoVerdict {
    if !sum_observed.is_finite() || !z.is_finite() || !tolerance.is_finite() {
        return F16DpoVerdict::Fail;
    }
    let abs_z = z.abs();
    let expected = abs_z + 2.0 * (1.0 + (-abs_z).exp()).ln();
    if (sum_observed - expected).abs() <= tolerance {
        F16DpoVerdict::Pass
    } else {
        F16DpoVerdict::Fail
    }
}

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

    // -----------------------------------------------------------------
    // Section 1: Provenance pin.
    // -----------------------------------------------------------------
    #[test]
    fn provenance_constants() {
        assert!((AC_DPO_LOSS_AT_ZERO - 0.6931472_f32).abs() < 1e-6);
        assert_eq!(AC_DPO_LOG_2_TOLERANCE, 1e-3);
    }

    // -----------------------------------------------------------------
    // Section 2: F16-001..004.
    // -----------------------------------------------------------------
    #[test]
    fn ff16_001_pass_bit_exact() {
        let v = verdict_from_f16_bit_trick(1.5, 1.5);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn ff16_001_fail_one_ulp_drift() {
        let bumped = f32::from_bits(1.5_f32.to_bits() + 1);
        let v = verdict_from_f16_bit_trick(bumped, 1.5);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn ff16_002_pass_identity() {
        let v = verdict_from_f16_roundtrip(0x3C00, 0x3C00); // 1.0 in f16
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn ff16_002_fail_drift() {
        let v = verdict_from_f16_roundtrip(0x3C00, 0x3C01);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn ff16_003_pass_negative() {
        let v = verdict_from_f16_sign(true, true);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn ff16_003_fail_sign_flip() {
        let v = verdict_from_f16_sign(true, false);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn ff16_004_pass_bit_identical() {
        let simd = vec![1.0_f32, 2.0, 3.0];
        let scalar = simd.clone();
        let v = verdict_from_f16_simd_parity(&simd, &scalar);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn ff16_004_fail_one_ulp() {
        let simd = vec![1.0_f32];
        let bumped = f32::from_bits(1.0_f32.to_bits() + 1);
        let scalar = vec![bumped];
        let v = verdict_from_f16_simd_parity(&simd, &scalar);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    // -----------------------------------------------------------------
    // Section 3: dpo_loss reference.
    // -----------------------------------------------------------------
    #[test]
    fn dpo_loss_at_zero_is_log2() {
        let l = dpo_loss(0.0, 0.0, 1.0);
        assert!((l - std::f32::consts::LN_2).abs() < 1e-3);
    }

    #[test]
    fn dpo_loss_extreme_inputs_finite() {
        let l = dpo_loss(100.0, -100.0, 1.0);
        assert!(l.is_finite());
        let l = dpo_loss(-100.0, 100.0, 1.0);
        assert!(l.is_finite());
    }

    #[test]
    fn dpo_loss_invalid_beta_returns_nan() {
        assert!(dpo_loss(1.0, 0.0, 0.0).is_nan());
        assert!(dpo_loss(1.0, 0.0, -1.0).is_nan());
    }

    // -----------------------------------------------------------------
    // Section 4: DPO-001..005.
    // -----------------------------------------------------------------
    #[test]
    fn fdpo_001_pass_typical() {
        let l = dpo_loss(2.0, 0.0, 1.0);
        let v = verdict_from_dpo_nonneg(l);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn fdpo_001_fail_negative() {
        let v = verdict_from_dpo_nonneg(-0.001);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn fdpo_001_fail_nan() {
        let v = verdict_from_dpo_nonneg(f32::NAN);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn fdpo_002_pass_log2_at_zero() {
        let l = dpo_loss(0.0, 0.0, 1.0);
        let v = verdict_from_dpo_at_reference(l);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn fdpo_002_fail_at_zero_drift() {
        let v = verdict_from_dpo_at_reference(2.0);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn fdpo_003_pass_monotone() {
        let lo = dpo_loss(0.0, 0.0, 1.0);
        let hi = dpo_loss(2.0, 0.0, 1.0);
        let v = verdict_from_dpo_monotone(lo, hi);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn fdpo_003_fail_inverted() {
        let lo = dpo_loss(2.0, 0.0, 1.0);
        let hi = dpo_loss(0.0, 0.0, 1.0); // higher loss at lower rw
        let v = verdict_from_dpo_monotone(lo, hi);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn fdpo_004_pass_extreme_finite() {
        let l = dpo_loss(100.0, -100.0, 1.0);
        let v = verdict_from_dpo_stability(l);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn fdpo_004_fail_overflow() {
        let v = verdict_from_dpo_stability(f32::INFINITY);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    #[test]
    fn fdpo_005_pass_symmetry() {
        let r_w = 1.5_f32;
        let r_l = 0.5;
        let beta = 1.0;
        let z = beta * (r_w - r_l);
        let l_wl = dpo_loss(r_w, r_l, beta);
        let l_lw = dpo_loss(r_l, r_w, beta);
        let v = verdict_from_dpo_symmetry(l_wl + l_lw, z, 1e-3);
        assert_eq!(v, F16DpoVerdict::Pass);
    }

    #[test]
    fn fdpo_005_fail_asymmetric() {
        let v = verdict_from_dpo_symmetry(99.0, 1.0, 1e-3);
        assert_eq!(v, F16DpoVerdict::Fail);
    }

    // -----------------------------------------------------------------
    // Section 5: Mutation surveys.
    // -----------------------------------------------------------------
    #[test]
    fn mutation_survey_dpo_monotonicity_sweep() {
        // Sweep r_w from 0 to 5; loss should be strictly decreasing
        let r_l = 0.0_f32;
        let beta = 1.0_f32;
        let mut prev_loss = f32::INFINITY;
        for i in 0..=10 {
            let r_w = i as f32 * 0.5;
            let loss = dpo_loss(r_w, r_l, beta);
            assert!(loss.is_finite(), "r_w={r_w} produced non-finite");
            assert!(loss < prev_loss, "monotonicity violated: {loss} >= {prev_loss}");
            prev_loss = loss;
        }
    }

    // -----------------------------------------------------------------
    // Section 6: Realistic.
    // -----------------------------------------------------------------
    #[test]
    fn realistic_healthy_passes_all_9() {
        let v1 = verdict_from_f16_bit_trick(1.5, 1.5);
        let v2 = verdict_from_f16_roundtrip(0x3C00, 0x3C00);
        let v3 = verdict_from_f16_sign(false, false);
        let v4 = verdict_from_f16_simd_parity(&[1.0_f32], &[1.0_f32]);
        let v5 = verdict_from_dpo_nonneg(dpo_loss(2.0, 0.0, 1.0));
        let v6 = verdict_from_dpo_at_reference(dpo_loss(0.0, 0.0, 1.0));
        let v7 = verdict_from_dpo_monotone(dpo_loss(0.0, 0.0, 1.0), dpo_loss(2.0, 0.0, 1.0));
        let v8 = verdict_from_dpo_stability(dpo_loss(50.0, -50.0, 1.0));
        let z = 1.0;
        let r_w = 0.5;
        let r_l = -0.5;
        let v9 = verdict_from_dpo_symmetry(dpo_loss(r_w, r_l, 1.0) + dpo_loss(r_l, r_w, 1.0), z, 1e-3);
        for v in [v1, v2, v3, v4, v5, v6, v7, v8, v9] {
            assert_eq!(v, F16DpoVerdict::Pass);
        }
    }

    // -----------------------------------------------------------------
    // Section 7: Pre-fix regressions.
    // -----------------------------------------------------------------
    #[test]
    fn realistic_pre_fix_all_9_failures() {
        let bumped = f32::from_bits(1.5_f32.to_bits() + 1);
        let v1 = verdict_from_f16_bit_trick(bumped, 1.5);
        let v2 = verdict_from_f16_roundtrip(0x3C00, 0x3C01);
        let v3 = verdict_from_f16_sign(true, false);
        let v4 = verdict_from_f16_simd_parity(&[1.0_f32], &[bumped]);
        let v5 = verdict_from_dpo_nonneg(-0.5); // sign error
        let v6 = verdict_from_dpo_at_reference(2.0); // wrong reference value
        let v7 = verdict_from_dpo_monotone(0.5, 1.0); // gradient sign inverted
        let v8 = verdict_from_dpo_stability(f32::NAN);
        let v9 = verdict_from_dpo_symmetry(99.0, 1.0, 1e-3);
        for v in [v1, v2, v3, v4, v5, v6, v7, v8, v9] {
            assert_eq!(v, F16DpoVerdict::Fail);
        }
    }
}