File size: 36,545 Bytes
976eb45
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
"""
test_physics_dynamics.py
========================
Comprehensive test suite for physics_dynamics.py.

Coverage
--------
ZoneStateTensor
  - Shape contracts for all three tensors
  - from_numpy: batch dim injection (2D and 3D inputs)
  - from_numpy: dtype coercion to float32
  - Properties: batch_size, n_zones, horizon_days
  - flat() output shape and content
  - flat_dim consistency with flat() output
  - to() device round-trip (CPU only)

PhysicsResidualLoss
  - Output is a non-negative scalar tensor
  - Output has gradient attached (learnable parameters)
  - Residual is zero for exact linear advection (analytical check)
  - Learnable parameters v, D are strictly positive (log-space parameterisation)
  - weight=0 produces zero loss
  - H <= 2 edge case does not raise

TemporalDynamicsModel
  - Output shapes match input for all supported (n_zones, horizon_days)
  - precip output is non-negative (Softplus)
  - uncertainty output is in [0, 1] (Sigmoid)
  - belief output is in [0, 1] (Sigmoid)
  - return_physics_loss=False returns None physics loss
  - return_physics_loss=True returns scalar tensor
  - physics loss is non-negative
  - physics loss has gradient
  - Batch size > 1 produces correct output shapes
  - n_zones=1 edge case
  - horizon_days=1 edge case
  - horizon_days=2 edge case (boundary of finite-difference guard)
  - save() / load() round-trip: weights identical after reload
  - save() creates parent directories
  - load() restores n_zones and horizon_days correctly
  - forward() is deterministic (eval mode, same input β†’ same output)

TemporalDynamicsModel.rollout()
  - Returns steps+1 states (including initial)
  - All returned states have correct shapes
  - All precip values >= 0 throughout rollout
  - All uncertainty values in [0, 1] throughout rollout
  - All belief values in [0, 1] throughout rollout
  - No gradient tracking during rollout (inference mode)
  - states[0] IS the initial state (identity, not a copy through forward)

DynamicsTrainer
  - train() returns history dict with correct keys
  - train_loss list has length == epochs
  - val_loss list has length == epochs
  - physics_loss list has length == epochs
  - Loss decreases over training (not just random noise)
  - train() raises on empty sequence_pairs
  - save() delegates to TemporalDynamicsModel.save()
  - Single-pair dataset (n=1) does not crash
  - val_split=0.0 edge case (all training, 1 val sample minimum)

EnsembleDynamics
  - predict() returns ZoneStateTensor with correct shapes
  - predict() returns scalar epistemic uncertainty tensor
  - epistemic uncertainty is non-negative
  - With n_models=1, uncertainty is zero (single model, no variance)
  - With n_models > 1 and random weights, uncertainty > 0
  - to() moves all models to device without error

DynaRolloutBuffer
  - compute_surprise_bonus() returns scalar in [0, uncertainty_weight]
  - Identical current and next β†’ near-zero bonus
  - Very different current and next β†’ higher bonus than identical inputs
  - generate_rollout() returns n_synthetic_steps+1 states
  - No gradient tracking in compute_surprise_bonus (inference)

Run with:  pytest test_physics_dynamics.py -v
"""

from __future__ import annotations

import sys
import os
import tempfile
from pathlib import Path
from typing import Tuple

import numpy as np
import pytest
import torch
import torch.nn as nn

sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))

from physics_dynamics import (
    DynamicsTrainer,
    DynaRolloutBuffer,
    EnsembleDynamics,
    PhysicsResidualLoss,
    TemporalDynamicsModel,
    ZoneStateTensor,
)


# ---------------------------------------------------------------------------
# Shared fixtures
# ---------------------------------------------------------------------------

@pytest.fixture
def n_zones() -> int:
    return 4


@pytest.fixture
def horizon_days() -> int:
    return 14


@pytest.fixture
def batch_size() -> int:
    return 3


@pytest.fixture
def state(n_zones, horizon_days, batch_size) -> ZoneStateTensor:
    """Standard random state tensor for use across tests."""
    torch.manual_seed(0)
    return ZoneStateTensor(
        precip=torch.rand(batch_size, n_zones, horizon_days) * 20.0,
        uncertainty=torch.rand(batch_size, n_zones),
        belief=torch.rand(batch_size, n_zones),
    )


@pytest.fixture
def model(n_zones, horizon_days) -> TemporalDynamicsModel:
    torch.manual_seed(42)
    m = TemporalDynamicsModel(n_zones=n_zones, horizon_days=horizon_days)
    m.eval()
    return m


@pytest.fixture
def tiny_pairs(n_zones, horizon_days) -> list:
    """Small set of (current, next) pairs for trainer tests."""
    torch.manual_seed(7)
    pairs = []
    for _ in range(20):
        curr = ZoneStateTensor(
            precip=torch.rand(1, n_zones, horizon_days) * 15.0,
            uncertainty=torch.rand(1, n_zones),
            belief=torch.rand(1, n_zones),
        )
        nxt = ZoneStateTensor(
            precip=torch.rand(1, n_zones, horizon_days) * 15.0,
            uncertainty=torch.rand(1, n_zones),
            belief=torch.rand(1, n_zones),
        )
        pairs.append((curr, nxt))
    return pairs


# ---------------------------------------------------------------------------
# ZoneStateTensor
# ---------------------------------------------------------------------------

class TestZoneStateTensor:

    def test_properties_match_tensor_shapes(self, state, n_zones, horizon_days, batch_size):
        assert state.batch_size == batch_size
        assert state.n_zones == n_zones
        assert state.horizon_days == horizon_days

    def test_precip_shape(self, state, batch_size, n_zones, horizon_days):
        assert state.precip.shape == (batch_size, n_zones, horizon_days)

    def test_uncertainty_shape(self, state, batch_size, n_zones):
        assert state.uncertainty.shape == (batch_size, n_zones)

    def test_belief_shape(self, state, batch_size, n_zones):
        assert state.belief.shape == (batch_size, n_zones)

    def test_all_tensors_are_float32(self, state):
        assert state.precip.dtype == torch.float32
        assert state.uncertainty.dtype == torch.float32
        assert state.belief.dtype == torch.float32

    def test_flat_shape(self, state, batch_size, n_zones, horizon_days):
        flat = state.flat()
        expected_dim = n_zones * (horizon_days + 2)
        assert flat.shape == (batch_size, expected_dim)

    def test_flat_dim_property_matches_flat_output(self, state):
        assert state.flat_dim == state.flat().shape[1]

    def test_flat_content_concatenation(self, state):
        flat = state.flat()
        B, Z, H = state.precip.shape
        # First Z*H elements should be flattened precip
        precip_flat = state.precip.reshape(B, Z * H)
        assert torch.allclose(flat[:, :Z * H], precip_flat)
        # Next Z elements: uncertainty
        assert torch.allclose(flat[:, Z * H : Z * H + Z], state.uncertainty)
        # Last Z elements: belief
        assert torch.allclose(flat[:, Z * H + Z :], state.belief)

    def test_from_numpy_2d_precip_adds_batch_dim(self, n_zones, horizon_days):
        precip = np.random.rand(n_zones, horizon_days).astype(np.float32)
        uncert = np.random.rand(n_zones).astype(np.float32)
        belief = np.random.rand(n_zones).astype(np.float32)
        s = ZoneStateTensor.from_numpy(precip, uncert, belief)
        assert s.precip.shape == (1, n_zones, horizon_days)
        assert s.uncertainty.shape == (1, n_zones)
        assert s.belief.shape == (1, n_zones)

    def test_from_numpy_3d_precip_preserved(self, batch_size, n_zones, horizon_days):
        precip = np.random.rand(batch_size, n_zones, horizon_days).astype(np.float32)
        uncert = np.random.rand(batch_size, n_zones).astype(np.float32)
        belief = np.random.rand(batch_size, n_zones).astype(np.float32)
        s = ZoneStateTensor.from_numpy(precip, uncert, belief)
        assert s.precip.shape == (batch_size, n_zones, horizon_days)

    def test_from_numpy_dtype_coercion_float64(self, n_zones, horizon_days):
        precip = np.random.rand(n_zones, horizon_days)  # float64
        uncert = np.random.rand(n_zones)
        belief = np.random.rand(n_zones)
        s = ZoneStateTensor.from_numpy(precip, uncert, belief)
        assert s.precip.dtype == torch.float32
        assert s.uncertainty.dtype == torch.float32
        assert s.belief.dtype == torch.float32

    def test_from_numpy_values_preserved(self, n_zones, horizon_days):
        precip = np.ones((n_zones, horizon_days), dtype=np.float32) * 7.5
        uncert = np.full(n_zones, 0.3, dtype=np.float32)
        belief = np.full(n_zones, 0.6, dtype=np.float32)
        s = ZoneStateTensor.from_numpy(precip, uncert, belief)
        assert torch.allclose(s.precip, torch.full((1, n_zones, horizon_days), 7.5))
        assert torch.allclose(s.uncertainty, torch.full((1, n_zones), 0.3))
        assert torch.allclose(s.belief, torch.full((1, n_zones), 0.6))

    def test_to_cpu_returns_new_instance(self, state):
        moved = state.to(torch.device("cpu"))
        assert moved is not state
        assert moved.precip.device.type == "cpu"

    def test_to_cpu_values_unchanged(self, state):
        moved = state.to(torch.device("cpu"))
        assert torch.allclose(state.precip, moved.precip)
        assert torch.allclose(state.uncertainty, moved.uncertainty)
        assert torch.allclose(state.belief, moved.belief)


# ---------------------------------------------------------------------------
# PhysicsResidualLoss
# ---------------------------------------------------------------------------

class TestPhysicsResidualLoss:

    def test_output_is_scalar_tensor(self):
        loss_fn = PhysicsResidualLoss(weight=0.01)
        u = torch.rand(2, 3, 10)
        v = torch.rand(2, 3, 10)
        out = loss_fn(u, v)
        assert out.shape == torch.Size([])

    def test_output_is_non_negative(self):
        torch.manual_seed(0)
        loss_fn = PhysicsResidualLoss(weight=0.01)
        for _ in range(10):
            u = torch.rand(2, 4, 14) * 20
            v = torch.rand(2, 4, 14) * 20
            assert loss_fn(u, v).item() >= 0.0

    def test_output_has_gradient(self):
        loss_fn = PhysicsResidualLoss(weight=0.01)
        u = torch.rand(2, 3, 10, requires_grad=True)
        v = torch.rand(2, 3, 10, requires_grad=True)
        out = loss_fn(u, v)
        out.backward()
        assert u.grad is not None
        assert v.grad is not None

    def test_learnable_v_is_positive(self):
        loss_fn = PhysicsResidualLoss()
        assert loss_fn.v.item() > 0.0

    def test_learnable_D_is_positive(self):
        loss_fn = PhysicsResidualLoss()
        assert loss_fn.D.item() > 0.0

    def test_log_v_is_parameter(self):
        loss_fn = PhysicsResidualLoss()
        param_names = [n for n, _ in loss_fn.named_parameters()]
        assert "log_v" in param_names
        assert "log_D" in param_names

    def test_weight_zero_produces_zero_loss(self):
        loss_fn = PhysicsResidualLoss(weight=0.0)
        u = torch.rand(2, 3, 10)
        v = torch.rand(2, 3, 10)
        assert loss_fn(u, v).item() == pytest.approx(0.0)

    def test_exact_linear_advection_has_low_residual(self):
        """
        If u_next is u shifted by exactly v steps along the horizon axis,
        the advection term v*βˆ‚u/βˆ‚Ο„ should largely cancel βˆ‚u/βˆ‚t,
        producing a small residual (not exactly zero due to diffusion term
        and boundary approximations, but significantly lower than random).
        """
        loss_fn = PhysicsResidualLoss(weight=1.0)
        # Fix v to a known value for this test
        with torch.no_grad():
            loss_fn.log_v.fill_(0.0)   # v = 1.0
            loss_fn.log_D.fill_(-10.0) # D β‰ˆ 0 (nearly pure advection)

        B, Z, H = 1, 1, 20
        tau = torch.arange(H, dtype=torch.float32)
        # Linear ramp: u = a * tau + b (βˆ‚u/βˆ‚Ο„ = a, βˆ‚Β²u/βˆ‚Ο„Β² = 0)
        # Exact solution after dt=1: u_next = a*(tau+1) + b = u + a
        a = 2.0
        u = a * tau.unsqueeze(0).unsqueeze(0).expand(B, Z, H)
        u_next = u + a  # shift by a (= v * βˆ‚u/βˆ‚Ο„ = 1.0 * a)

        residual_advection = loss_fn(u, u_next)

        # For comparison: random u_next should have a larger residual than
        # the analytically correct solution.
        torch.manual_seed(0)
        u_random = torch.rand_like(u) * 40.0  # unrelated to u
        residual_random = loss_fn(u, u_random)

        # The analytically correct solution should produce a strictly lower
        # residual than a completely unrelated random prediction.
        assert residual_advection.item() < residual_random.item(), (
            f"Expected advection residual ({residual_advection.item():.4f}) < "
            f"random residual ({residual_random.item():.4f})"
        )

    def test_h_equals_1_does_not_raise(self):
        loss_fn = PhysicsResidualLoss(weight=0.01)
        u = torch.rand(2, 3, 1)
        v = torch.rand(2, 3, 1)
        out = loss_fn(u, v)  # H=1: finite differences are skipped
        assert out.shape == torch.Size([])

    def test_h_equals_2_does_not_raise(self):
        loss_fn = PhysicsResidualLoss(weight=0.01)
        u = torch.rand(2, 3, 2)
        v = torch.rand(2, 3, 2)
        out = loss_fn(u, v)  # H=2: boundary branch, no interior differences
        assert out.shape == torch.Size([])


# ---------------------------------------------------------------------------
# TemporalDynamicsModel β€” output shapes and value ranges
# ---------------------------------------------------------------------------

class TestTemporalDynamicsModelShapes:

    def test_precip_output_shape(self, model, state, batch_size, n_zones, horizon_days):
        next_s, _ = model(state)
        assert next_s.precip.shape == (batch_size, n_zones, horizon_days)

    def test_uncertainty_output_shape(self, model, state, batch_size, n_zones):
        next_s, _ = model(state)
        assert next_s.uncertainty.shape == (batch_size, n_zones)

    def test_belief_output_shape(self, model, state, batch_size, n_zones):
        next_s, _ = model(state)
        assert next_s.belief.shape == (batch_size, n_zones)

    def test_precip_non_negative(self, model, state):
        next_s, _ = model(state)
        assert (next_s.precip >= 0).all(), "Softplus decoder produced negative precip"

    def test_uncertainty_in_unit_interval(self, model, state):
        next_s, _ = model(state)
        assert (next_s.uncertainty >= 0).all() and (next_s.uncertainty <= 1).all()

    def test_belief_in_unit_interval(self, model, state):
        next_s, _ = model(state)
        assert (next_s.belief >= 0).all() and (next_s.belief <= 1).all()

    def test_return_physics_loss_false_gives_none(self, model, state):
        _, phys = model(state, return_physics_loss=False)
        assert phys is None

    def test_return_physics_loss_true_gives_tensor(self, model, state):
        _, phys = model(state, return_physics_loss=True)
        assert phys is not None
        assert phys.shape == torch.Size([])

    def test_physics_loss_non_negative(self, model, state):
        _, phys = model(state)
        assert phys.item() >= 0.0

    def test_physics_loss_has_gradient(self, n_zones, horizon_days):
        m = TemporalDynamicsModel(n_zones=n_zones, horizon_days=horizon_days)
        m.train()
        s = ZoneStateTensor(
            precip=torch.rand(2, n_zones, horizon_days) * 10,
            uncertainty=torch.rand(2, n_zones),
            belief=torch.rand(2, n_zones),
        )
        _, phys = m(s, return_physics_loss=True)
        phys.backward()
        grads = [p.grad for p in m.parameters() if p.grad is not None]
        assert len(grads) > 0, "No gradients flowed through physics loss"

    @pytest.mark.parametrize("batch", [1, 4, 8])
    def test_batch_size_variants(self, n_zones, horizon_days, batch):
        torch.manual_seed(0)
        m = TemporalDynamicsModel(n_zones=n_zones, horizon_days=horizon_days)
        m.eval()
        s = ZoneStateTensor(
            precip=torch.rand(batch, n_zones, horizon_days),
            uncertainty=torch.rand(batch, n_zones),
            belief=torch.rand(batch, n_zones),
        )
        next_s, _ = m(s)
        assert next_s.precip.shape == (batch, n_zones, horizon_days)

    @pytest.mark.parametrize("nz,hd", [(1, 14), (2, 7), (4, 30), (3, 1), (2, 2)])
    def test_shape_combinations(self, nz, hd):
        torch.manual_seed(0)
        m = TemporalDynamicsModel(n_zones=nz, horizon_days=hd)
        m.eval()
        s = ZoneStateTensor(
            precip=torch.rand(2, nz, hd) * 10,
            uncertainty=torch.rand(2, nz),
            belief=torch.rand(2, nz),
        )
        next_s, phys = m(s)
        assert next_s.precip.shape == (2, nz, hd)
        assert next_s.uncertainty.shape == (2, nz)
        assert next_s.belief.shape == (2, nz)
        assert phys is not None and phys.shape == torch.Size([])

    def test_deterministic_in_eval_mode(self, model, state):
        with torch.no_grad():
            out1, _ = model(state)
            out2, _ = model(state)
        assert torch.allclose(out1.precip, out2.precip)
        assert torch.allclose(out1.uncertainty, out2.uncertainty)
        assert torch.allclose(out1.belief, out2.belief)

    def test_output_is_finite(self, model, state):
        next_s, phys = model(state)
        assert torch.isfinite(next_s.precip).all()
        assert torch.isfinite(next_s.uncertainty).all()
        assert torch.isfinite(next_s.belief).all()
        assert torch.isfinite(phys)


# ---------------------------------------------------------------------------
# TemporalDynamicsModel β€” save / load
# ---------------------------------------------------------------------------

class TestTemporalDynamicsModelSaveLoad:

    def test_save_creates_file(self, model):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "model.pt"
            model.save(str(path))
            assert path.exists()

    def test_save_creates_parent_directories(self, model):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "nested" / "dir" / "model.pt"
            model.save(str(path))
            assert path.exists()

    def test_load_restores_n_zones(self, model, n_zones):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "m.pt"
            model.save(str(path))
            loaded = TemporalDynamicsModel.load(str(path))
            assert loaded.n_zones == n_zones

    def test_load_restores_horizon_days(self, model, horizon_days):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "m.pt"
            model.save(str(path))
            loaded = TemporalDynamicsModel.load(str(path))
            assert loaded.horizon_days == horizon_days

    def test_load_restores_weights_exactly(self, model, state):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "m.pt"
            model.save(str(path))
            loaded = TemporalDynamicsModel.load(str(path))
            loaded.eval()
            with torch.no_grad():
                out_orig, _ = model(state)
                out_load, _ = loaded(state)
            assert torch.allclose(out_orig.precip, out_load.precip, atol=1e-6)
            assert torch.allclose(out_orig.uncertainty, out_load.uncertainty, atol=1e-6)
            assert torch.allclose(out_orig.belief, out_load.belief, atol=1e-6)

    def test_load_restores_physics_parameters(self, model):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "m.pt"
            # Modify physics params to non-default values
            with torch.no_grad():
                model.physics_loss.log_v.fill_(0.5)
                model.physics_loss.log_D.fill_(-1.0)
            model.save(str(path))
            loaded = TemporalDynamicsModel.load(str(path))
            assert loaded.physics_loss.log_v.item() == pytest.approx(0.5, abs=1e-5)
            assert loaded.physics_loss.log_D.item() == pytest.approx(-1.0, abs=1e-5)

    def test_path_object_accepted(self, model):
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "m.pt"
            model.save(path)         # Path object, not str
            loaded = TemporalDynamicsModel.load(path)
            assert loaded.n_zones == model.n_zones


# ---------------------------------------------------------------------------
# TemporalDynamicsModel.rollout()
# ---------------------------------------------------------------------------

class TestTemporalDynamicsModelRollout:

    def test_returns_steps_plus_one_states(self, model, state):
        steps = 5
        result = model.rollout(state, steps=steps)
        assert len(result) == steps + 1

    def test_first_state_is_initial(self, model, state):
        result = model.rollout(state, steps=3)
        assert result[0] is state  # identity, not a copy

    def test_all_states_have_correct_shapes(self, model, state, batch_size, n_zones, horizon_days):
        result = model.rollout(state, steps=4)
        for s in result:
            assert s.precip.shape == (batch_size, n_zones, horizon_days)
            assert s.uncertainty.shape == (batch_size, n_zones)
            assert s.belief.shape == (batch_size, n_zones)

    def test_all_precip_non_negative(self, model, state):
        result = model.rollout(state, steps=5)
        for i, s in enumerate(result[1:], 1):  # skip initial
            assert (s.precip >= 0).all(), f"Negative precip at step {i}"

    def test_all_uncertainty_in_unit_interval(self, model, state):
        result = model.rollout(state, steps=5)
        for i, s in enumerate(result[1:], 1):
            assert (s.uncertainty >= 0).all() and (s.uncertainty <= 1).all(), \
                f"Uncertainty out of [0,1] at step {i}"

    def test_all_belief_in_unit_interval(self, model, state):
        result = model.rollout(state, steps=5)
        for i, s in enumerate(result[1:], 1):
            assert (s.belief >= 0).all() and (s.belief <= 1).all(), \
                f"Belief out of [0,1] at step {i}"

    def test_no_gradient_tracking_during_rollout(self, model, state):
        result = model.rollout(state, steps=3)
        for s in result[1:]:
            assert not s.precip.requires_grad
            assert not s.uncertainty.requires_grad
            assert not s.belief.requires_grad

    def test_steps_zero_returns_only_initial(self, model, state):
        result = model.rollout(state, steps=0)
        assert len(result) == 1
        assert result[0] is state

    def test_rollout_values_are_finite(self, model, state):
        result = model.rollout(state, steps=10)
        for s in result:
            assert torch.isfinite(s.precip).all()
            assert torch.isfinite(s.uncertainty).all()
            assert torch.isfinite(s.belief).all()


# ---------------------------------------------------------------------------
# DynamicsTrainer
# ---------------------------------------------------------------------------

class TestDynamicsTrainer:

    def test_train_returns_dict_with_correct_keys(self, tiny_pairs, n_zones, horizon_days):
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        history = trainer.train(tiny_pairs, epochs=2, batch_size=4)
        assert "train_loss" in history
        assert "val_loss" in history
        assert "physics_loss" in history

    def test_history_lengths_equal_epochs(self, tiny_pairs, n_zones, horizon_days):
        epochs = 3
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        history = trainer.train(tiny_pairs, epochs=epochs, batch_size=4)
        assert len(history["train_loss"]) == epochs
        assert len(history["val_loss"]) == epochs
        assert len(history["physics_loss"]) == epochs

    def test_all_losses_are_finite(self, tiny_pairs, n_zones, horizon_days):
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        history = trainer.train(tiny_pairs, epochs=3, batch_size=4)
        for loss in history["train_loss"] + history["val_loss"] + history["physics_loss"]:
            assert np.isfinite(loss), f"Non-finite loss value: {loss}"

    def test_all_losses_are_non_negative(self, tiny_pairs, n_zones, horizon_days):
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        history = trainer.train(tiny_pairs, epochs=3, batch_size=4)
        for loss in history["train_loss"] + history["val_loss"] + history["physics_loss"]:
            assert loss >= 0.0, f"Negative loss: {loss}"

    def test_loss_decreases_over_training(self, n_zones, horizon_days):
        """
        Loss should trend downward over sufficient epochs on a small fixed dataset.
        We test that final loss < initial loss (not strictly monotonic β€” that is
        not guaranteed with SGD). Seed is fixed for reproducibility.
        """
        torch.manual_seed(0)
        np.random.seed(0)
        # Build a more learnable target: next = current + small noise
        pairs = []
        for _ in range(30):
            curr = ZoneStateTensor(
                precip=torch.rand(1, n_zones, horizon_days) * 10,
                uncertainty=torch.rand(1, n_zones) * 0.5,
                belief=torch.rand(1, n_zones) * 0.5,
            )
            nxt = ZoneStateTensor(
                precip=curr.precip + torch.randn_like(curr.precip) * 0.1,
                uncertainty=torch.clamp(curr.uncertainty + torch.randn_like(curr.uncertainty) * 0.01, 0, 1),
                belief=torch.clamp(curr.belief + torch.randn_like(curr.belief) * 0.01, 0, 1),
            )
            pairs.append((curr, nxt))

        trainer = DynamicsTrainer(
            n_zones=n_zones, horizon_days=horizon_days,
            physics_weight=0.001,  # low physics weight for this test
        )
        history = trainer.train(pairs, epochs=20, batch_size=8, lr=1e-2)
        first_loss = history["train_loss"][0]
        last_loss  = history["train_loss"][-1]
        assert last_loss < first_loss, (
            f"Loss did not decrease: first={first_loss:.4f}  last={last_loss:.4f}"
        )

    def test_raises_on_empty_pairs(self, n_zones, horizon_days):
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        with pytest.raises(ValueError, match="empty"):
            trainer.train([], epochs=1)

    def test_single_pair_does_not_crash(self, n_zones, horizon_days):
        torch.manual_seed(0)
        pair = (
            ZoneStateTensor(
                precip=torch.rand(1, n_zones, horizon_days),
                uncertainty=torch.rand(1, n_zones),
                belief=torch.rand(1, n_zones),
            ),
            ZoneStateTensor(
                precip=torch.rand(1, n_zones, horizon_days),
                uncertainty=torch.rand(1, n_zones),
                belief=torch.rand(1, n_zones),
            ),
        )
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        # val_split=0.0 β†’ n_val=0, n_train=1 (after the guard fix).
        # With val_split=0.1 and N=1 β†’ n_val would be 1, n_train=0 β†’ should raise.
        # val_split=0.0 is the correct way to train on a tiny dataset.
        history = trainer.train([pair], epochs=1, batch_size=1, val_split=0.0)
        assert "train_loss" in history
        assert len(history["train_loss"]) == 1

        # Verify that passing exactly 2 pairs with val_split=1.0 raises clearly
        # (n_val = max(0, 2-1) = 1, n_train = 1 is fine β€” but val_split=1.0
        # with the guard: n_val = int(2*1.0) = 2 >= N=2 β†’ n_val = max(0,2-1)=1
        # So we need val_split such that int(N*val_split) >= N with our guard.
        # The guard sets n_val = max(0, N-1), so n_train = 1 always survives.
        # The real failure case is N=1 with val_split=0.5+: int(1*0.5)=0 β†’ fine.
        # Actually to trigger the error we need a 0-sample training set which
        # cannot happen with the guard. Verify graceful handling instead.
        history2 = trainer.train([pair, pair], epochs=1, batch_size=1, val_split=0.5)
        assert "train_loss" in history2

    def test_save_delegates_to_model(self, tiny_pairs, n_zones, horizon_days):
        trainer = DynamicsTrainer(n_zones=n_zones, horizon_days=horizon_days)
        trainer.train(tiny_pairs, epochs=1, batch_size=4)
        with tempfile.TemporaryDirectory() as tmp:
            path = Path(tmp) / "trainer_model.pt"
            trainer.save(str(path))
            assert path.exists()
            loaded = TemporalDynamicsModel.load(str(path))
            assert loaded.n_zones == n_zones
            assert loaded.horizon_days == horizon_days

    def test_physics_weight_zero_trains_without_physics(self, tiny_pairs, n_zones, horizon_days):
        trainer = DynamicsTrainer(
            n_zones=n_zones, horizon_days=horizon_days, physics_weight=0.0
        )
        history = trainer.train(tiny_pairs, epochs=2, batch_size=4)
        # history["physics_loss"] records the RAW unweighted PDE residual,
        # not the weighted contribution to the total loss. When physics_weight=0
        # the residual is still computed and logged β€” it just doesn't affect
        # the gradient. We verify it is finite and non-negative.
        for pl in history["physics_loss"]:
            assert np.isfinite(pl), f"Physics loss is not finite: {pl}"
            assert pl >= 0.0, f"Physics loss is negative: {pl}"


# ---------------------------------------------------------------------------
# EnsembleDynamics
# ---------------------------------------------------------------------------

class TestEnsembleDynamics:

    def test_predict_returns_state_and_scalar(self, state, n_zones, horizon_days):
        torch.manual_seed(0)
        ens = EnsembleDynamics(n_models=3, n_zones=n_zones, horizon_days=horizon_days)
        mean_state, epistemic = ens.predict(state)
        assert isinstance(mean_state, ZoneStateTensor)
        assert epistemic.shape == torch.Size([])

    def test_mean_state_shapes(self, state, batch_size, n_zones, horizon_days):
        torch.manual_seed(0)
        ens = EnsembleDynamics(n_models=3, n_zones=n_zones, horizon_days=horizon_days)
        mean_state, _ = ens.predict(state)
        assert mean_state.precip.shape == (batch_size, n_zones, horizon_days)
        assert mean_state.uncertainty.shape == (batch_size, n_zones)
        assert mean_state.belief.shape == (batch_size, n_zones)

    def test_epistemic_uncertainty_non_negative(self, state, n_zones, horizon_days):
        torch.manual_seed(0)
        ens = EnsembleDynamics(n_models=3, n_zones=n_zones, horizon_days=horizon_days)
        _, epistemic = ens.predict(state)
        assert epistemic.item() >= 0.0

    def test_single_model_ensemble_has_zero_uncertainty(self, state, n_zones, horizon_days):
        """
        With n_models=1 there is no variance β€” std of a single value is 0.
        """
        torch.manual_seed(0)
        ens = EnsembleDynamics(n_models=1, n_zones=n_zones, horizon_days=horizon_days)
        _, epistemic = ens.predict(state)
        assert epistemic.item() == pytest.approx(0.0, abs=1e-6)

    def test_multi_model_ensemble_has_positive_uncertainty(self, state, n_zones, horizon_days):
        """
        With n_models=5 and randomly initialised weights, the ensemble members
        will disagree, producing non-zero epistemic uncertainty.
        """
        torch.manual_seed(99)
        ens = EnsembleDynamics(n_models=5, n_zones=n_zones, horizon_days=horizon_days)
        _, epistemic = ens.predict(state)
        assert epistemic.item() > 0.0, "Expected positive uncertainty from diverse ensemble"

    def test_mean_state_values_finite(self, state, n_zones, horizon_days):
        torch.manual_seed(0)
        ens = EnsembleDynamics(n_models=3, n_zones=n_zones, horizon_days=horizon_days)
        mean_state, _ = ens.predict(state)
        assert torch.isfinite(mean_state.precip).all()
        assert torch.isfinite(mean_state.uncertainty).all()
        assert torch.isfinite(mean_state.belief).all()

    def test_to_cpu_does_not_raise(self, n_zones, horizon_days):
        ens = EnsembleDynamics(n_models=2, n_zones=n_zones, horizon_days=horizon_days)
        result = ens.to(torch.device("cpu"))
        assert result is ens  # returns self

    def test_no_gradient_in_predict(self, state, n_zones, horizon_days):
        torch.manual_seed(0)
        ens = EnsembleDynamics(n_models=2, n_zones=n_zones, horizon_days=horizon_days)
        mean_state, epistemic = ens.predict(state)
        assert not mean_state.precip.requires_grad
        assert not epistemic.requires_grad


# ---------------------------------------------------------------------------
# DynaRolloutBuffer
# ---------------------------------------------------------------------------

class TestDynaRolloutBuffer:

    @pytest.fixture
    def buffer(self, model) -> DynaRolloutBuffer:
        return DynaRolloutBuffer(
            dynamics=model,
            n_synthetic_steps=3,
            uncertainty_weight=0.1,
        )

    def test_compute_surprise_bonus_is_scalar(self, buffer, state):
        bonus = buffer.compute_surprise_bonus(state, state)
        assert bonus.shape == torch.Size([])

    def test_compute_surprise_bonus_non_negative(self, buffer, state):
        bonus = buffer.compute_surprise_bonus(state, state)
        assert bonus.item() >= 0.0

    def test_compute_surprise_bonus_bounded_by_uncertainty_weight(self, buffer, state):
        """Bonus is clipped to [0, uncertainty_weight]."""
        n_zones, horizon_days = state.n_zones, state.horizon_days
        # Make next_state very different to maximise surprise
        very_different = ZoneStateTensor(
            precip=torch.full_like(state.precip, 499.0),
            uncertainty=torch.ones_like(state.uncertainty),
            belief=torch.zeros_like(state.belief),
        )
        bonus = buffer.compute_surprise_bonus(state, very_different)
        assert bonus.item() <= buffer.uncertainty_weight + 1e-6

    def test_identical_states_give_near_zero_bonus(self, buffer, state):
        """
        When current and next are identical, the model's prediction error
        should be low, producing a near-zero surprise bonus.
        Note: not exactly zero because the model doesn't predict the identity.
        We just check it is lower than the maximum possible bonus.
        """
        bonus_same = buffer.compute_surprise_bonus(state, state)
        very_different = ZoneStateTensor(
            precip=torch.full_like(state.precip, 499.0),
            uncertainty=torch.ones_like(state.uncertainty),
            belief=torch.zeros_like(state.belief),
        )
        bonus_diff = buffer.compute_surprise_bonus(state, very_different)
        # Identical input should produce smaller or equal bonus than maximally different
        assert bonus_same.item() <= bonus_diff.item() + 1e-6

    def test_no_gradient_in_compute_surprise_bonus(self, buffer, state):
        bonus = buffer.compute_surprise_bonus(state, state)
        assert not bonus.requires_grad

    def test_generate_rollout_length(self, buffer, state):
        steps = buffer.n_synthetic_steps
        result = buffer.generate_rollout(state)
        assert len(result) == steps + 1

    def test_generate_rollout_shapes(self, buffer, state, batch_size, n_zones, horizon_days):
        result = buffer.generate_rollout(state)
        for s in result:
            assert s.precip.shape == (batch_size, n_zones, horizon_days)

    def test_generate_rollout_no_gradient(self, buffer, state):
        result = buffer.generate_rollout(state)
        for s in result[1:]:
            assert not s.precip.requires_grad

    def test_dynamics_attribute_accessible(self, buffer, model):
        assert buffer.dynamics is model

    @pytest.mark.parametrize("weight", [0.0, 0.01, 0.05, 0.1, 1.0])
    def test_bonus_respects_uncertainty_weight_parameter(self, model, state, weight):
        buf = DynaRolloutBuffer(dynamics=model, uncertainty_weight=weight)
        very_different = ZoneStateTensor(
            precip=torch.full_like(state.precip, 499.0),
            uncertainty=torch.ones_like(state.uncertainty),
            belief=torch.zeros_like(state.belief),
        )
        bonus = buf.compute_surprise_bonus(state, very_different)
        assert bonus.item() <= weight + 1e-6
        assert bonus.item() >= 0.0