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运行: python3 tests/test_zerocg.py
"""
import os
import sys
import numpy as np
sys.path.insert(0, os.path.join(os.path.dirname(os.path.abspath(__file__)), ".."))
import zerocg as zc # noqa: E402
from zerocg import functional as F # noqa: E402
from zerocg import nn # noqa: E402
zc.set_default_dtype(np.float64) # 数值梯度检查需要 float64 的精度
rng = np.random.default_rng(0)
def grad_check(fn, *shapes, tol=1e-5, positive=False):
"""fn(*tensors) -> Tensor。比较自动求导和中心差分的梯度(float64)。"""
arrays = [rng.standard_normal(s) for s in shapes]
if positive:
arrays = [np.abs(a) + 0.5 for a in arrays]
ts = [zc.Tensor(a.copy(), requires_grad=True) for a in arrays]
w = np.asarray(rng.standard_normal(fn(*ts).shape)) # 随机投影成标量,检查完整雅可比
(fn(*ts) * zc.Tensor(w)).sum().backward()
eps = 1e-6
for t, a in zip(ts, arrays):
num = np.zeros_like(a)
for i in np.ndindex(a.shape):
for sign in (1, -1):
b = a.copy()
b[i] += sign * eps
inputs = [zc.Tensor(b) if x is t else zc.Tensor(x.data) for x in ts]
with zc.no_grad():
num[i] += sign * (fn(*inputs).data * w).sum()
num[i] /= 2 * eps
err = np.abs(num - t.grad).max() / max(1.0, np.abs(num).max())
assert err < tol, f"梯度误差 {err:.2e}"
def module_grad_check(module, x):
for p in module.parameters():
p.data = p.data.astype(np.float64)
params = module.parameters()
# 直接对参数逐个做差分
xt = zc.Tensor(x)
w = np.asarray(rng.standard_normal(module(xt).shape))
for p in params:
p.grad = None
(module(xt) * zc.Tensor(w)).sum().backward()
eps = 1e-6
for p in params:
num = np.zeros_like(p.data)
for i in np.ndindex(p.shape):
old = p.data[i]
p.data[i] = old + eps
with zc.no_grad():
up = (module(xt).data * w).sum()
p.data[i] = old - eps
with zc.no_grad():
down = (module(xt).data * w).sum()
p.data[i] = old
num[i] = (up - down) / (2 * eps)
err = np.abs(num - p.grad).max() / max(1.0, np.abs(num).max())
assert err < 1e-5, f"参数梯度误差 {err:.2e}"
# ---------------- 算子 ----------------
def test_ops():
grad_check(lambda a, b: a + b, (3, 4), (4,))
grad_check(lambda a, b: a - b, (3, 4), (3, 1))
grad_check(lambda a, b: a * b, (2, 3), (2, 3))
grad_check(lambda a, b: a / b, (2, 3), (3,), positive=True)
grad_check(lambda a: a ** 3, (4,))
grad_check(lambda a: a.sqrt(), (4,), positive=True)
grad_check(lambda a: -a + 2.0 - a * 3.0, (4,))
grad_check(lambda a: 1.0 / a, (4,), positive=True)
grad_check(lambda a: a.exp(), (3, 2))
grad_check(lambda a: a.log(), (3, 2), positive=True)
grad_check(lambda a: a.tanh(), (5,))
grad_check(lambda a: a.relu(), (5,))
grad_check(lambda a: a.masked_fill(np.eye(3, dtype=bool), -5.0), (3, 3))
def test_reductions_and_shapes():
grad_check(lambda a: a.sum(), (3, 4))
grad_check(lambda a: a.sum(axis=1), (3, 4))
grad_check(lambda a: a.mean(axis=0, keepdims=True), (3, 4))
grad_check(lambda a: a.max(axis=-1), (3, 4))
grad_check(lambda a: a.reshape(4, 3), (3, 4))
grad_check(lambda a: a.transpose(2, 0, 1), (2, 3, 4))
grad_check(lambda a: a[1:, ::2], (3, 4))
grad_check(lambda a: a[np.array([0, 2, 0])], (3, 4)) # 重复索引
grad_check(lambda a, b: zc.concat([a, b, a], axis=1), (2, 3), (2, 1))
def test_matmul():
grad_check(lambda a, b: a @ b, (3, 4), (4, 5))
grad_check(lambda a, b: a @ b, (2, 3, 4), (4, 5)) # 批量 @ 共享权重
grad_check(lambda a, b: a @ b, (2, 2, 3, 4), (2, 2, 4, 3))
def test_functional():
grad_check(lambda a: F.softmax(a, axis=-1), (3, 5))
grad_check(lambda a: F.log_softmax(a, axis=-1), (3, 5))
grad_check(lambda a: F.gelu(a), (6,))
grad_check(lambda a: F.sigmoid(a), (6,))
grad_check(lambda a: F.cross_entropy(a, np.array([1, 0, 4])), (3, 5))
# 和直接的数学定义对比数值
x = rng.standard_normal((4, 6))
t = np.array([0, 5, 2, 2])
ref = -np.log(np.exp(x) / np.exp(x).sum(1, keepdims=True))[np.arange(4), t].mean()
assert abs(F.cross_entropy(zc.Tensor(x), t).item() - ref) < 1e-10
def test_layers():
module_grad_check(nn.Linear(4, 3), rng.standard_normal((2, 4)))
module_grad_check(nn.LayerNorm(5), rng.standard_normal((3, 5)))
module_grad_check(nn.Sequential(nn.Linear(3, 4), nn.GELU(), nn.Linear(4, 2)), rng.standard_normal((2, 3)))
module_grad_check(nn.CausalSelfAttention(8, 2), rng.standard_normal((2, 4, 8)))
emb = nn.Embedding(5, 3)
out = emb(np.array([[1, 1, 4]]))
out.sum().backward()
assert emb.weight.grad[1].tolist() == [2, 2, 2] and emb.weight.grad[0].tolist() == [0, 0, 0]
def test_attention_is_causal():
attn = nn.CausalSelfAttention(8, 2).eval()
x = rng.standard_normal((1, 5, 8)).astype(np.float32)
y1 = attn(zc.Tensor(x)).data
x[0, 4] += 10 # 改最后一个位置,前面的输出不应变化
y2 = attn(zc.Tensor(x)).data
assert np.allclose(y1[0, :4], y2[0, :4]) and not np.allclose(y1[0, 4], y2[0, 4])
def test_count_flops():
with zc.count_flops() as c:
zc.randn(2, 3, 4) @ zc.randn(4, 5)
assert c.flops == 2 * (2 * 3 * 5) * 4
def test_default_dtype():
zc.set_default_dtype(np.float32)
try:
x = zc.Tensor(np.ones(3)) # float64 数组进来也变成 float32
assert x.dtype == np.float32 and (x * 0.5).dtype == np.float32
assert nn.Linear(2, 2).weight.dtype == np.float32
assert zc.Tensor(np.arange(3)).dtype.kind == "i" # 整数下标不动
assert np.isfinite(F.sigmoid(zc.Tensor([-1000.0, 0.0, 1000.0])).data).all()
finally:
zc.set_default_dtype(np.float64)
def test_state_dict_roundtrip(tmp="/tmp"):
path = os.path.join(os.environ.get("TMPDIR", tmp), "zerocg_test.npz")
a = nn.Sequential(nn.Linear(3, 4), nn.LayerNorm(4))
a.save(path)
b = nn.Sequential(nn.Linear(3, 4), nn.LayerNorm(4)).load(path)
x = zc.randn(2, 3)
assert np.allclose(a(x).data, b(x).data)
assert [n for n, _ in a.named_parameters()] == ["layers.0.weight", "layers.0.bias", "layers.1.weight", "layers.1.bias"]
def test_optimizer_resume():
"""训练 10 步 == 训练 5 步、存档、新建模型和优化器、读档、再训练 5 步。"""
X, y = rng.standard_normal((8, 3)), np.array([0, 1, 1, 0, 1, 0, 0, 1])
def make():
np.random.seed(7)
m = nn.Sequential(nn.Linear(3, 4), nn.Tanh(), nn.Linear(4, 2))
return m, zc.optim.AdamW(m.parameters(), lr=0.05, weight_decay=0.01)
def train(m, opt, n):
for _ in range(n):
loss = F.cross_entropy(m(zc.Tensor(X)), y)
opt.zero_grad()
loss.backward()
opt.step()
a, opt_a = make()
train(a, opt_a, 10)
b, opt_b = make()
train(b, opt_b, 5)
model_state, opt_state = b.state_dict(), opt_b.state_dict()
c, opt_c = make()
c.load_state_dict(model_state)
opt_c.load_state_dict(opt_state)
train(c, opt_c, 5)
assert all(np.array_equal(p, q) for p, q in zip(a.state_dict().values(), c.state_dict().values()))
# ---------------- 端到端学习 ----------------
def test_learns_xor():
np.random.seed(0)
X = np.array([[0, 0], [0, 1], [1, 0], [1, 1]], dtype=np.float32)
y = np.array([0, 1, 1, 0])
model = nn.Sequential(nn.Linear(2, 16), nn.Tanh(), nn.Linear(16, 2))
opt = zc.optim.AdamW(model.parameters(), lr=0.05)
for _ in range(300):
loss = F.cross_entropy(model(zc.Tensor(X)), y)
opt.zero_grad()
loss.backward()
opt.step()
assert (model(zc.Tensor(X)).data.argmax(1) == y).all(), f"XOR 没学会, loss={loss.item()}"
def test_attention_memorizes_sequence():
"""一层注意力 + 嵌入,记住一个短序列的下一个字符。"""
np.random.seed(0)
seq = np.array([0, 1, 2, 3, 2, 1, 0, 3])
x, y = seq[None, :-1], seq[1:]
class Tiny(nn.Module):
def __init__(self):
self.tok = nn.Embedding(4, 16)
self.pos = nn.Embedding(8, 16)
self.attn = nn.CausalSelfAttention(16, 2)
self.ln = nn.LayerNorm(16)
self.head = nn.Linear(16, 4)
def forward(self, idx):
T = idx.shape[1]
h = self.tok(idx) + self.pos(np.arange(T))
h = h + self.attn(self.ln(h))
return self.head(h)
model = Tiny()
opt = zc.optim.AdamW(model.parameters(), lr=0.02)
for _ in range(200):
loss = F.cross_entropy(model(x).reshape(-1, 4), y)
opt.zero_grad()
loss.backward()
zc.optim.clip_grad_norm(model.parameters(), 1.0)
opt.step()
assert loss.item() < 0.05, f"loss={loss.item()}"
if __name__ == "__main__":
tests = [(k, v) for k, v in list(globals().items()) if k.startswith("test_")]
failed = 0
for name, fn in tests:
try:
fn()
print(f" ok {name}")
except Exception as e: # noqa: BLE001
failed += 1
print(f" FAIL {name}: {type(e).__name__}: {e}")
print(f"\n{len(tests) - failed}/{len(tests)} 通过")
sys.exit(1 if failed else 0)
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