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import itertools
import json
import math
import random
from collections import Counter
from dataclasses import replace
from fractions import Fraction as F
import pytest
from offload.dspark.probabilistic.reference import (
Categorical as D,
)
from offload.dspark.probabilistic.reference import (
Owner,
Proposal,
RandomStreams,
Verifier,
acceptance,
fp32_weights,
propose,
residual,
)
def law(p: D, q: D, *, actually_sampled: D | None = None) -> tuple[F, ...]:
"""Enumerate acceptance and correction outcomes, without Monte Carlo."""
actual = q if actually_sampled is None else actually_sampled
accepted = tuple(actual.prob(i) * acceptance(p, q, i) if actual.prob(i) else F()
for i in range(p.vocab_size))
reject = 1 - sum(accepted)
if not reject:
return accepted
r = residual(p, q)
return tuple(a + reject * r.prob(i) for i, a in enumerate(accepted))
def test_exact_distribution_identity_exhaustive():
# All 3-token distributions on the quarter grid, including zeros/disjoint support.
grid = [D.dense(x) for x in itertools.product(range(5), repeat=3) if sum(x) == 4]
for p, q in itertools.product(grid, repeat=2):
assert law(p, q) == p.probabilities
assert sum(q.prob(i) * acceptance(p, q, i) for i in q.ids if q.prob(i)) == sum(
min(p.prob(i), q.prob(i)) for i in range(3))
@pytest.mark.parametrize("k", [1, 2, 3, 4])
def test_exact_sparse_identity(k):
p = D.dense([1, 2, 3, 4])
q = D.dense([7, 1, 2, 3]).sparse_topk(k)
assert law(p, q) == p.probabilities
assert sum(q.probabilities) == 1
assert all(q.prob(i) == 0 for i in range(4) if i not in q.ids)
def test_residual_covers_full_target_vocabulary():
p = D.dense([1, 2, 3, 4])
q = D(4, [0], [1])
assert residual(p, q).probabilities == (0, F(2, 9), F(1, 3), F(4, 9))
assert law(p, q) == p.probabilities
def test_dropping_tail_after_sampling_is_not_exact():
p, original = D.dense([1, 3, 6]), D.dense([7, 2, 1])
# Even dropping only the smallest entry is wrong if sampling used original q.
transmitted = original.sparse_topk(2)
# The lost token cannot even be verified: fail instead of silently accepting.
with pytest.raises(ValueError, match="zero q"):
acceptance(p, transmitted, 2)
# A different full q also breaks the law, even when every token is present.
assert law(p, D.dense([8, 1, 1]), actually_sampled=original) != p.probabilities
@pytest.mark.parametrize("weights", [[0, 0], [-1, 2], [math.nan, 1], [math.inf, 1],
[-math.inf, 1], [True, 1], ["1", 2]])
def test_bad_weights(weights):
with pytest.raises((ValueError, TypeError)):
D.dense(weights)
@pytest.mark.parametrize("ids,weights", [([1, 1], [1, 0]), ([-1], [1]), ([3], [1]),
([1.0], [1]), ([True], [1]), ([1], [1, 2]), ([], [])])
def test_bad_sparse_support(ids, weights):
with pytest.raises(ValueError):
D(3, ids, weights)
def test_masks_and_nonfinite_wire_values():
p = D.dense([1, 2, 3])
assert p.masked([True, False, True]).probabilities == (F(1, 4), 0, F(3, 4))
for mask in ([False, False, False], [True], [1, 0, 1]):
with pytest.raises(ValueError):
p.masked(mask)
for weights in ([1e40, 1], [1e-50, 0], [math.nan, 1], [math.inf, 1]):
with pytest.raises(ValueError):
fp32_weights(2, [0, 1], weights)
def test_fp32_is_defined_before_sampling_and_normalized_on_both_sides():
import struct
weights = [0.10000000001, 0.2, 0.7]
packed = struct.pack("<3f", *weights)
sender = fp32_weights(4, [0, 2, 3], weights)
receiver = fp32_weights(4, [0, 2, 3], struct.unpack("<3f", packed))
assert sender == receiver
assert sender != D(4, [0, 2, 3], weights)
assert sender.prob(1) == 0
assert sum(sender.probabilities) == 1
assert law(D.dense([1, 2, 3, 4]), sender) == D.dense([1, 2, 3, 4]).probabilities
def test_sparse_order_ties_and_vocab_mismatch():
assert D(4, [3, 1, 2, 0], [1, 1, 1, 1]).sparse_topk(2).ids == (0, 1)
with pytest.raises(ValueError, match="vocabulary mismatch"):
acceptance(D.dense([1, 2]), D.dense([1, 2, 3]), 0)
with pytest.raises(ValueError, match="vocabulary mismatch"):
residual(D.dense([1, 2]), D.dense([1, 2, 3]))
with pytest.raises(ValueError, match="all zero"):
residual(D.dense([1, 2]), D.dense([1, 2]))
for k in (0, 5, True):
with pytest.raises(ValueError):
D.dense([1, 2, 3, 4]).sparse_topk(k)
DEFAULT_OWNER = Owner("request-a", 0)
def make_block(owner=DEFAULT_OWNER, round_id=0, prefix=(), depth=2,
context_id="target-grammar-v1", stops=frozenset()):
streams = RandomStreams(1234, owner, round_id)
block = propose(lambda _: D.dense([5, 3, 2]), prefix, streams, depth=depth,
context_id=context_id, stop_ids=stops)
return block, streams
def test_rng_ownership_and_global_rng_untouched():
global_before = random.getstate()
owner = Owner("request-a", 3)
streams = RandomStreams(123, owner, 2)
before = streams.acceptance.getstate(), streams.correction.getstate()
propose(lambda _: D.dense([1, 2, 3]), (), streams, depth=5, context_id="v1")
assert before == (streams.acceptance.getstate(), streams.correction.getstate())
assert random.getstate() == global_before
states = [RandomStreams(123, owner, 2).proposal.getstate(),
RandomStreams(123, owner, 2).acceptance.getstate(),
RandomStreams(123, owner, 2).correction.getstate(),
RandomStreams(123, Owner("request-b", 3), 2).proposal.getstate(),
RandomStreams(123, Owner("request-a", 4), 2).proposal.getstate(),
RandomStreams(123, owner, 3).proposal.getstate()]
assert len({repr(s) for s in states}) == len(states)
@pytest.mark.parametrize("bad", ["owner", "rng_owner", "generation", "round", "prefix",
"context", "stops", "short", "zero_q", "vocab"])
def test_invalid_state_refused_before_rng_draws(bad):
block, streams = make_block()
verifier = Verifier(block.owner, (), block.context_id, lambda _: D.dense([1, 1, 1]))
if bad == "owner":
block = replace(block, owner=Owner("other", 0))
elif bad == "rng_owner":
streams = RandomStreams(1234, Owner("other", 0), 0)
elif bad == "generation":
block = replace(block, owner=Owner(block.owner.request_id, 1))
elif bad == "round":
block = replace(block, round_id=1)
elif bad == "prefix":
block = replace(block, prefix=(1,))
elif bad == "context":
block = replace(block, context_id="other-grammar")
elif bad == "stops":
block = replace(block, stop_ids=frozenset({2}))
elif bad == "short":
block = replace(block, proposals=block.proposals[:1])
elif bad == "zero_q":
block = replace(block, proposals=(Proposal(0, D(3, [2], [1])),) * 2)
elif bad == "vocab":
block = replace(block, proposals=(block.proposals[0], Proposal(0, D.dense([1, 1]))))
before = streams.acceptance.getstate(), streams.correction.getstate()
with pytest.raises(ValueError):
verifier.verify(block, streams)
assert before == (streams.acceptance.getstate(), streams.correction.getstate())
assert verifier.prefix == ()
def test_round_reuse_stale_prefix_and_interleaved_request_isolation():
block, streams = make_block()
verifier = Verifier(block.owner, (), block.context_id, lambda _: D.dense([1, 1, 1]))
result = verifier.verify(block, streams)
committed = verifier.prefix
assert committed == result.tokens
with pytest.raises(ValueError, match="stale/reused"):
verifier.verify(block, streams)
next_stream = RandomStreams(1234, block.owner, 1)
with pytest.raises(ValueError, match="stale prefix"):
verifier.verify(replace(block, round_id=1), next_stream)
# An interleaved other request cannot advance this request's RNG or state.
other, other_rng = make_block(owner=Owner("b", 0))
other_result = Verifier(other.owner, (), other.context_id, lambda _: D.dense([1, 1, 1])).verify(other, other_rng)
assert other_result.tokens
assert verifier.prefix == committed
replay, replay_rng = make_block()
assert Verifier(replay.owner, (), replay.context_id, lambda _: D.dense([1, 1, 1])).verify(replay, replay_rng) == result
def test_rejection_discards_suffix_and_commits_correction_only():
owner = Owner("reject", 0)
streams = RandomStreams(0, owner, 0)
block = propose(lambda _: D.dense([1, 0, 0]), (), streams, depth=5, context_id="v1")
seen = []
def target(prefix):
seen.append(prefix)
return D.dense([0, 0, 1])
verifier = Verifier(owner, (), "v1", target)
result = verifier.verify(block, streams)
assert result.tokens == (2,)
assert result.accepted_drafts == 0 and result.rejected
assert verifier.prefix == (2,)
assert seen == [()] # no target work or state changes on a rejected suffix
def test_grammar_processors_follow_proposed_then_committed_prefix():
owner = Owner("grammar", 0)
streams = RandomStreams(0, owner, 0)
# Draft can put mass on forbidden tokens; target grammar still wins exactly.
block = propose(lambda _: D.dense([0, 1, 0]), (), streams, depth=3, context_id="alternating")
seen = []
def grammar(prefix, p):
seen.append(prefix)
return p.masked([len(prefix) % 2 == 0, len(prefix) % 2 == 1, False])
verifier = Verifier(owner, (), "alternating", lambda _: D.dense([1, 1, 1]), processor=grammar)
result = verifier.verify(block, streams)
assert result.tokens == (0,) and result.rejected
# Next block now conditions the grammar on committed token 0, not draft 1.
streams2 = RandomStreams(0, owner, 1)
block2 = propose(lambda _: D.dense([0, 1, 0]), verifier.prefix, streams2,
depth=1, context_id="alternating")
result2 = verifier.verify(block2, streams2)
assert result2.tokens == (1, 0) and not result2.rejected
assert seen == [(), (0,), (0, 1)]
def test_all_masked_target_and_failed_round_cannot_retry():
block, streams = make_block()
verifier = Verifier(block.owner, (), block.context_id, lambda _: D.dense([1, 2, 3]),
processor=lambda prefix, p: p.masked([False] * 3))
with pytest.raises(ValueError, match="all masked"):
verifier.verify(block, streams)
assert verifier.prefix == ()
with pytest.raises(ValueError, match="explicit session reset"):
verifier.verify(block, streams)
@pytest.mark.parametrize("stop_at", ["draft", "correction", "bonus"])
def test_stop_discards_later_tokens_and_prevents_further_rounds(stop_at):
owner = Owner("stop", 0)
streams = RandomStreams(0, owner, 0)
stops = frozenset({2})
calls = []
def draft(prefix):
calls.append(prefix)
return D.dense([0, 0, 1]) if stop_at == "draft" else D.dense([1, 0, 0])
block = propose(draft, (), streams, depth=5 if stop_at == "draft" else 1,
context_id="v1", stop_ids=stops)
def target(prefix):
return D.dense([1, 0, 0]) if stop_at == "bonus" and not prefix else D.dense([0, 0, 1])
verifier = Verifier(owner, (), "v1", target, stop_ids=stops)
result = verifier.verify(block, streams)
assert result.stopped and result.tokens[-1] == 2
if stop_at == "draft":
assert calls == [()] and result.accepted_drafts == 1
if stop_at == "bonus":
assert result.tokens == (0, 2) and result.accepted_drafts == 1
with pytest.raises(ValueError, match="already stopped"):
verifier.verify(block, streams)
@pytest.mark.parametrize("depth", [0, 6, True])
def test_bad_depth(depth):
with pytest.raises(ValueError, match="fixed depth"):
propose(lambda _: D.dense([1, 2]), (), RandomStreams(0, Owner("x", 0), 0),
depth=depth, context_id="v1")
@pytest.mark.parametrize("kind", ["full", "sparse2", "delta", "equal", "disjoint"])
def test_distribution_frequency(kind):
p = D.dense([1, 2, 3, 4])
q = D.dense([6, 1, 2, 1])
if kind == "sparse2":
q = q.sparse_topk(2)
elif kind == "delta":
q = q.sparse_topk(1)
elif kind == "equal":
q = p
elif kind == "disjoint":
p, q = D.dense([0, 2, 3, 5]), D.dense([1, 0, 0, 0])
counts = Counter()
accepted = 0
n = 12000
owner = Owner("frequency", 0)
for sample in range(n):
streams = RandomStreams(847, owner, sample)
block = propose(lambda _: q, (), streams, depth=1, context_id="v1")
result = Verifier(owner, (), "v1", lambda _: p).verify(block, streams)
counts[result.tokens[0]] += 1
accepted += result.accepted_drafts
for token in range(4):
expected = float(p.prob(token))
assert abs(counts[token] / n - expected) <= 6 * math.sqrt(expected * (1 - expected) / n) + 1 / n
expected_accept = float(sum(min(p.prob(i), q.prob(i)) for i in range(4)))
assert abs(accepted / n - expected_accept) <= 6 * math.sqrt(expected_accept * (1 - expected_accept) / n) + 1 / n
print(json.dumps({"evidence": "MEASURED synthetic CPU", "kind": kind, "samples": n,
"counts": [counts[i] for i in range(4)],
"p": [float(p.prob(i)) for i in range(4)],
"accepted": accepted, "expected_acceptance": expected_accept}, sort_keys=True))
@pytest.mark.parametrize("sparse", [False, True])
@pytest.mark.parametrize("depth", [2, 5])
def test_conditional_two_token_joint_frequency(sparse, depth):
# This detects using committed-trajectory probabilities after a differing draft.
def target(prefix):
return D.dense([3, 1]) if not prefix or prefix[-1] == 0 else D.dense([1, 4])
def draft(prefix):
q = D.dense([1, 4]) if not prefix or prefix[-1] == 0 else D.dense([4, 1])
return q.sparse_topk(1) if sparse else q
counts = Counter()
n = 10000
owner = Owner("joint", 0)
for sample in range(n):
session = Verifier(owner, (), "v1", target)
round_id = 0
while len(session.prefix) < 2:
streams = RandomStreams(sample + 51, owner, round_id)
block = propose(draft, session.prefix, streams, depth=depth, context_id="v1")
session.verify(block, streams)
round_id += 1
counts[session.prefix[:2]] += 1
for pair in itertools.product(range(2), repeat=2):
expected = float(target(()).prob(pair[0]) * target(pair[:1]).prob(pair[1]))
assert abs(counts[pair] / n - expected) < 6 * math.sqrt(expected * (1 - expected) / n) + 1 / n
print(json.dumps({"evidence": "MEASURED synthetic CPU", "kind": "joint", "sparse": sparse,
"depth": depth, "samples": n,
"counts_00_01_10_11": [counts[pair] for pair in itertools.product(range(2), repeat=2)]}, sort_keys=True))
def test_appendix_a_selection_bias_regression():
# Own toy distribution: q=p=uniform, but inspecting a future confidence
# admits the first draw only if it is 0. Otherwise target-only resampling
# gives first-token P(0)=3/4 rather than 1/2, despite an exact verifier.
p = D.dense([1, 1])
biased_zero = p.prob(0) + p.prob(1) * p.prob(0)
assert biased_zero == F(3, 4) != p.prob(0)
assert law(p, p) == p.probabilities
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