feat(harness): batching.py — FFD + round-robin mini-batch (#10 算法保真)

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"""混合 mini-batch 切分:大类打散、小类整锁,供 runner 每 step 处理一个 batch。"""
from __future__ import annotations
import math
import random
from typing import TYPE_CHECKING
if TYPE_CHECKING:
from core.types import GeneratedQuestion
def build_batches(
items: list[GeneratedQuestion],
correctness: dict[str, bool],
batch_size: int,
min_class_per_batch: int,
seed: int,
correct_ratio: float = 0.0,
) -> tuple[list[list[GeneratedQuestion]], int]:
"""把诊断池里的题目切成多个混合 mini-batch。
当 ``correct_ratio > 0`` 时,按题型为每组错题配比一定数量的正确题,使 batch
包含正误混合样本("动量"机制);``correct_ratio <= 0`` 时退化为纯错题模式。
参数:
items: 候选题目全集。
correctness: question_id -> 基线是否答对。
batch_size: 单个 batch 的样本数上限(> 0)。
min_class_per_batch: 小类判定阈值——题目数 ≤ 此值的题型整组锁进单一
batch> 0)。
seed: 随机种子,保证相同输入产出完全一致的切分。
correct_ratio: 正确题占比(0.0 ~ 1.0)。0.0 = 纯错题;0.5 = 错题:正确题 = 1:1。
返回:
(非空 mini-batch 列表, selected_count);无错题时返回 ([], 0)。
selected_count 是所有 batch 中题目总数。
异常:
ValueError: batch_size 或 min_class_per_batch < 1, 或
min_class_per_batch >= batch_size(破坏小类整组装箱不超容的前提)。
关键实现细节:
装箱顺序为「先小类后大类」。小类整组用 first-fit-decreasing 装箱:按组大小
降序处理(同大小再按 task_type 排序保证确定性),每组放进第一个剩余容量足够
的 batch;若现有 batch 都装不下就新开一个空 batch——因小类组大小
≤ min_class_per_batch < batch_size,新空 batch 必能容纳,故小类装箱永不抛
ValueError,且保证整组不拆。再把大类样本(seed 确定性 shuffle 后)round-robin
分发到所有现存 batch 填充剩余容量。这样小类聚集于单 batch、大类散布多 batch
且与小类共箱,自然产生多类混合 batch(纯类切片会被 multiclass 断言拒绝)。
nb = ceil(总题数/batch_size) 是初始 batch 数下界估计而非硬上限:小类装箱可能
新开 bin 使实际 batch 数超过 nb。每次新开 bin 都意味着总容量随之增加,故总容量
恒 ≥ 总题数,大类 round-robin 跳过满箱后仍能放下全部样本,不会违反 batch_size
上限。题型按名称排序处理以保证跨运行确定性,不依赖 dict 遍历顺序。
"""
_validate_params(batch_size, min_class_per_batch)
rng = random.Random(seed)
grouped = _select_mixed_by_task_type(items, correctness, correct_ratio, rng)
total = sum(len(g) for g in grouped.values())
if total == 0:
return [], 0
nb = max(1, math.ceil(total / batch_size))
batches: list[list[GeneratedQuestion]] = [[] for _ in range(nb)]
small, large = _split_by_size(grouped, min_class_per_batch)
for group in _small_groups_decreasing(small):
_pack_small_class(batches, group, batch_size)
_distribute_large_classes(batches, large, batch_size, rng)
result = [b for b in batches if b]
selected_count = sum(len(b) for b in result)
return result, selected_count
def _validate_params(batch_size: int, min_class_per_batch: int) -> None:
"""校验切分参数,非法值直接报错而非用默认值掩盖。
除各自 >= 1 外,强制 min_class_per_batch < batch_size:小类组大小 ≤
min_class_per_batch,唯有此前提成立才能保证小类整组放入单一 batch 而不超容;否则
_pack_small_class 新开的 bin 会装入超 batch_size 的整组,静默违反容量合约。此约束
与 config._validate_minibatch 一致,是 build_batches 对自身前提的防御性自校验(P5)。
"""
if batch_size < 1:
raise ValueError(f"batch_size 必须 >= 1, 实为 {batch_size}")
if min_class_per_batch < 1:
raise ValueError(f"min_class_per_batch 必须 >= 1, 实为 {min_class_per_batch}")
if min_class_per_batch >= batch_size:
raise ValueError(
f"min_class_per_batch 必须严格 < batch_size, 否则无法保证小类整组放入单一 "
f"batch 不超容; 实为 min_class_per_batch={min_class_per_batch}, "
f"batch_size={batch_size}"
)
def _split_by_size(
grouped: dict[str, list[GeneratedQuestion]],
min_class_per_batch: int,
) -> tuple[dict[str, list[GeneratedQuestion]], dict[str, list[GeneratedQuestion]]]:
"""按错题数把题型分为小类(≤ 阈值)与大类(> 阈值)两组。"""
small = {t: g for t, g in grouped.items() if len(g) <= min_class_per_batch}
large = {t: g for t, g in grouped.items() if len(g) > min_class_per_batch}
return small, large
def _select_mixed_by_task_type(
items: list[GeneratedQuestion],
correctness: dict[str, bool],
correct_ratio: float,
rng: random.Random,
) -> dict[str, list[GeneratedQuestion]]:
"""按题型分组,为每组错题按比例采样正确题混入。
只对有错题的题型做混合——无错题的题型不进 batch,即使有正确题。
``correct_ratio <= 0`` 时退化为纯错题模式(向后兼容)。
参数:
items: 候选题目全集。
correctness: question_id -> 基线是否答对。
correct_ratio: 正确题占比(0.0 ~ 1.0)。
rng: 随机数发生器,用于采样正确题。
返回:
task_type -> 该题型的混合题目列表(错题全部 + 按比例采样的正确题)。
"""
errors_by_type: dict[str, list[GeneratedQuestion]] = {}
correct_by_type: dict[str, list[GeneratedQuestion]] = {}
for q in items:
qid = q.question_id
if correctness.get(qid) is False:
errors_by_type.setdefault(q.task_type, []).append(q)
elif correctness.get(qid, False):
correct_by_type.setdefault(q.task_type, []).append(q)
if correct_ratio <= 0:
return errors_by_type
# 为每个有错题的 task_type 混入正确题
grouped: dict[str, list[GeneratedQuestion]] = {}
for task_type in sorted(errors_by_type):
errs = errors_by_type[task_type]
n_correct = round(len(errs) * correct_ratio / (1 - correct_ratio))
available = correct_by_type.get(task_type, [])
sampled = (
list(available)
if len(available) <= n_correct
else rng.sample(available, n_correct)
)
grouped[task_type] = errs + sampled
return grouped
def _small_groups_decreasing(
small: dict[str, list[GeneratedQuestion]],
) -> list[list[GeneratedQuestion]]:
"""按组大小降序、同大小按 task_type 升序排出小类组(first-fit-decreasing 顺序)。
参数:
small: task_type -> 小类错题列表。
返回:
排好序的小类组列表;降序处理可降低碎片,确定性 tie-break 保证跨运行一致。
"""
return [small[t] for t in sorted(small, key=lambda t: (-len(small[t]), t))]
def _pack_small_class(
batches: list[list[GeneratedQuestion]],
group: list[GeneratedQuestion],
batch_size: int,
) -> None:
"""用 first-fit 把一个小类整组放入首个容得下的 batch,装不下则新开 bin(就地修改)。
因小类组大小 ≤ min_class_per_batch < batch_size,新开的空 batch 必能容纳整组,
故此函数永不抛 ValueError,且整组不拆。
参数:
batches: 当前各 batch(就地追加,必要时 append 新空 batch)。
group: 待锁定的小类错题(整组不拆)。
batch_size: 单 batch 容量上限。
"""
for b in batches:
if len(b) + len(group) <= batch_size:
b.extend(group)
return
batches.append(list(group))
def _distribute_large_classes(
batches: list[list[GeneratedQuestion]],
large: dict[str, list[GeneratedQuestion]],
batch_size: int,
rng: random.Random,
) -> None:
"""将各大类样本 shuffle 后 round-robin 分发到所有现存 batch(就地修改)。
参数:
batches: 当前各 batch(含小类装箱可能新开的 bin,就地追加)。
large: task_type -> 大类错题列表。
batch_size: 单 batch 容量上限。
rng: 复用的随机数发生器,保证 shuffle 确定性。
异常:
ValueError: 所有 batch 均满仍有样本未放置(总容量估算异常,合法输入不可达)。
关键实现细节:
轮转范围是「所有现存 batch」而非固定 nb 个——小类装箱新开的 bin 也参与分发。
总容量 = 现存 batch 数 × batch_size,每次新开 bin 都同步抬高总容量,故总容量恒
≥ 总错题数,防御性 ValueError 在合法输入下不可达。全局指针在所有大类样本间持续
轮转(不为每类重置),满箱即跳过,使大类充分散布并与已锁定的小类共箱。题型按名称
排序以保证分发顺序确定。
"""
nb = len(batches)
pointer = 0
for task_type in sorted(large):
group = list(large[task_type])
rng.shuffle(group)
for q in group:
pointer = _place_round_robin(batches, q, pointer, batch_size, nb)
def _place_round_robin(
batches: list[list[GeneratedQuestion]],
q: GeneratedQuestion,
pointer: int,
batch_size: int,
nb: int,
) -> int:
"""从 pointer 起找第一个未满 batch 放入 q,返回下一次起始指针。
参数:
batches: 当前各 batch(就地追加)。
q: 待放置的样本。
pointer: 本次轮转起始 batch 下标。
batch_size: 单 batch 容量上限。
nb: batch 总数。
返回:
下一次轮转的起始指针(已前移一位)。
异常:
ValueError: 扫描一轮所有 batch 均满(总容量估算异常)。
"""
for offset in range(nb):
idx = (pointer + offset) % nb
if len(batches[idx]) < batch_size:
batches[idx].append(q)
return (idx + 1) % nb
raise ValueError("所有 batch 均满仍有样本待放置, 总容量估算异常")
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"""app/harness/batching.py 的单元测试。
覆盖 FFD + round-robin mini-batch 构建的核心场景:
确定性、小类不拆、大类 round-robin、正确率混合、空错题、参数校验、
correctness False vs None 精确匹配。
"""
from __future__ import annotations
import pytest
from core.types import GeneratedQuestion
from app.harness.batching import (
build_batches,
_validate_params,
_select_mixed_by_task_type,
)
import random
# ---------------------------------------------------------------------------
# 辅助构造
# ---------------------------------------------------------------------------
def _make_q(
qid: str,
task_type: str = "default",
video_id: str = "v1",
) -> GeneratedQuestion:
"""构造最小 GeneratedQuestion 用于测试。"""
return GeneratedQuestion(
question_id=qid,
video_id=video_id,
task_type=task_type,
question=f"question_{qid}",
options=("A. a", "B. b", "C. c", "D. d"),
answer="A",
source_nodes=("n1",),
difficulty="medium",
)
# ---------------------------------------------------------------------------
# test_build_batches_deterministic
# ---------------------------------------------------------------------------
class TestBuildBatchesDeterministic:
"""相同输入 + 相同 seed 产出完全一致的切分。"""
def test_same_seed_same_result(self) -> None:
items = [_make_q(f"q{i}", task_type=f"type_{i % 3}") for i in range(20)]
correctness = {f"q{i}": False for i in range(20)}
r1 = build_batches(items, correctness, batch_size=5, min_class_per_batch=2, seed=42)
r2 = build_batches(items, correctness, batch_size=5, min_class_per_batch=2, seed=42)
assert r1 == r2
def test_different_seed_may_differ(self) -> None:
"""不同 seed 结果应不同(极大概率,用大量样本保证)。"""
items = [_make_q(f"q{i}", task_type=f"type_{i % 5}") for i in range(50)]
correctness = {f"q{i}": False for i in range(50)}
r1 = build_batches(items, correctness, batch_size=10, min_class_per_batch=3, seed=1)
r2 = build_batches(items, correctness, batch_size=10, min_class_per_batch=3, seed=99)
# 至少 batch 内容不同(不比较结构,只比较 selected_count 一致性)
assert r1[1] == r2[1] # 总题数一致
# 但 batch 内部排列几乎必然不同
flat1 = [q.question_id for b in r1[0] for q in b]
flat2 = [q.question_id for b in r2[0] for q in b]
assert flat1 != flat2
# ---------------------------------------------------------------------------
# test_small_class_not_split
# ---------------------------------------------------------------------------
class TestSmallClassNotSplit:
"""小类(≤ min_class_per_batch)整组不拆,锁在同一 batch。"""
def test_small_group_stays_together(self) -> None:
# 2 道题属于 small_type(≤ min_class=3),应在同一 batch
items = [
_make_q("s1", task_type="small_type"),
_make_q("s2", task_type="small_type"),
# 大类 8 道题
*[_make_q(f"big{i}", task_type="big_type") for i in range(8)],
]
correctness = {q.question_id: False for q in items}
batches, count = build_batches(
items, correctness, batch_size=5, min_class_per_batch=3, seed=0
)
assert count == 10
# 找到包含 small_type 的 batch
small_batch = [
b for b in batches
if any(q.task_type == "small_type" for q in b)
]
assert len(small_batch) == 1 # 整组在同一个 batch
small_ids = {q.question_id for q in small_batch[0] if q.task_type == "small_type"}
assert small_ids == {"s1", "s2"}
# ---------------------------------------------------------------------------
# test_large_class_round_robin
# ---------------------------------------------------------------------------
class TestLargeClassRoundRobin:
"""大类样本 round-robin 散布到多个 batch,不集中于单一 batch。"""
def test_large_group_distributed(self) -> None:
# 12 道大类题,batch_size=4min_class=2 → 大类 > 2 → round-robin
items = [_make_q(f"q{i}", task_type="large_type") for i in range(12)]
correctness = {q.question_id: False for q in items}
batches, count = build_batches(
items, correctness, batch_size=4, min_class_per_batch=2, seed=7
)
assert count == 12
assert len(batches) >= 3 # ceil(12/4) = 3
# 每个 batch 不超过 batch_size
for b in batches:
assert len(b) <= 4
# ---------------------------------------------------------------------------
# test_correct_ratio_mixing
# ---------------------------------------------------------------------------
class TestCorrectRatioMixing:
"""correct_ratio > 0 时混入正确题。"""
def test_mixed_includes_correct(self) -> None:
items = [
_make_q("e1", task_type="t1"),
_make_q("e2", task_type="t1"),
_make_q("c1", task_type="t1"),
_make_q("c2", task_type="t1"),
_make_q("c3", task_type="t1"),
]
correctness = {"e1": False, "e2": False, "c1": True, "c2": True, "c3": True}
batches, count = build_batches(
items, correctness, batch_size=10, min_class_per_batch=2, seed=0,
correct_ratio=0.5,
)
# correct_ratio=0.5 → 错:正 = 1:1 → 2 错 + 2 正 = 4 题
assert count == 4
all_ids = {q.question_id for b in batches for q in b}
assert {"e1", "e2"}.issubset(all_ids) # 错题全部
correct_in = all_ids - {"e1", "e2"}
assert len(correct_in) == 2 # 采样 2 个正确题
assert correct_in.issubset({"c1", "c2", "c3"})
def test_ratio_zero_pure_errors(self) -> None:
items = [
_make_q("e1", task_type="t1"),
_make_q("c1", task_type="t1"),
]
correctness = {"e1": False, "c1": True}
batches, count = build_batches(
items, correctness, batch_size=10, min_class_per_batch=2, seed=0,
correct_ratio=0.0,
)
assert count == 1
assert batches[0][0].question_id == "e1"
# ---------------------------------------------------------------------------
# test_no_wrong_answers_empty
# ---------------------------------------------------------------------------
class TestNoWrongAnswersEmpty:
"""无错题时返回空列表。"""
def test_all_correct_returns_empty(self) -> None:
items = [_make_q(f"q{i}") for i in range(5)]
correctness = {f"q{i}": True for i in range(5)}
batches, count = build_batches(
items, correctness, batch_size=3, min_class_per_batch=1, seed=0,
)
assert batches == []
assert count == 0
def test_empty_items_returns_empty(self) -> None:
batches, count = build_batches(
[], {}, batch_size=3, min_class_per_batch=1, seed=0,
)
assert batches == []
assert count == 0
# ---------------------------------------------------------------------------
# test_validate_params_strict
# ---------------------------------------------------------------------------
class TestValidateParamsStrict:
"""参数校验:batch_size < 1、min_class < 1、min_class >= batch_size 都报错。"""
def test_batch_size_zero(self) -> None:
with pytest.raises(ValueError, match="batch_size 必须 >= 1"):
_validate_params(0, 1)
def test_batch_size_negative(self) -> None:
with pytest.raises(ValueError, match="batch_size 必须 >= 1"):
_validate_params(-1, 1)
def test_min_class_zero(self) -> None:
with pytest.raises(ValueError, match="min_class_per_batch 必须 >= 1"):
_validate_params(5, 0)
def test_min_class_equals_batch_size(self) -> None:
with pytest.raises(ValueError, match="min_class_per_batch 必须严格 < batch_size"):
_validate_params(5, 5)
def test_min_class_exceeds_batch_size(self) -> None:
with pytest.raises(ValueError, match="min_class_per_batch 必须严格 < batch_size"):
_validate_params(3, 5)
def test_valid_params_no_error(self) -> None:
_validate_params(5, 3) # 不抛异常
# ---------------------------------------------------------------------------
# test_correctness_false_vs_none
# ---------------------------------------------------------------------------
class TestCorrectnessFalseVsNone:
"""correctness.get(qid) is False 精确匹配:None(未知题)不算错题。"""
def test_none_excluded_from_errors(self) -> None:
items = [
_make_q("wrong", task_type="t1"),
_make_q("right", task_type="t1"),
_make_q("unknown", task_type="t1"),
]
# wrong=False(错题),right=True(正确题),unknown 不在 correctnessNone
correctness: dict[str, bool] = {"wrong": False, "right": True}
batches, count = build_batches(
items, correctness, batch_size=10, min_class_per_batch=2, seed=0,
correct_ratio=0.0,
)
# 仅 wrong 进入 batchunknown 不算错题
assert count == 1
assert batches[0][0].question_id == "wrong"
def test_explicit_false_only(self) -> None:
"""直接测试 _select_mixed_by_task_type 内部逻辑。"""
items = [
_make_q("f1", task_type="t1"),
_make_q("n1", task_type="t1"), # None(未知)
_make_q("t1", task_type="t1"), # True(正确)
]
correctness: dict[str, bool] = {"f1": False, "t1": True}
rng = random.Random(0)
result = _select_mixed_by_task_type(items, correctness, 0.0, rng)
assert "t1" in result
assert len(result["t1"]) == 1
assert result["t1"][0].question_id == "f1"
def test_none_not_treated_as_correct(self) -> None:
"""None(未知)不进正确组,不被 correct_ratio 采样。"""
items = [
_make_q("err", task_type="t1"),
_make_q("unk", task_type="t1"),
]
correctness: dict[str, bool] = {"err": False}
rng = random.Random(0)
result = _select_mixed_by_task_type(items, correctness, 0.5, rng)
# 只有 err 一题错题,unk 不在 correctness 中 → get 返回 None → 不进 correct 组
assert len(result["t1"]) == 1 # 只有错题,无正确题可混入