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import torch
import pytest
from open_mythos.main import (
ACTHalting,
Expert,
GQAttention,
LTIInjection,
LoRAAdapter,
MLAttention,
MoEFFN,
MythosConfig,
OpenMythos,
RecurrentBlock,
RMSNorm,
TransformerBlock,
apply_rope,
loop_index_embedding,
precompute_rope_freqs,
)
# ---------------------------------------------------------------------------
# Shared small configs (kept tiny so tests run fast on CPU)
# ---------------------------------------------------------------------------
B, T = 2, 8 # batch, sequence length
def gqa_cfg(**overrides) -> MythosConfig:
defaults = dict(
vocab_size=200,
dim=64,
n_heads=4,
n_kv_heads=2,
max_seq_len=32,
max_loop_iters=3,
prelude_layers=1,
coda_layers=1,
attn_type="gqa",
n_experts=4,
n_shared_experts=1,
n_experts_per_tok=2,
expert_dim=16,
act_threshold=0.99,
lora_rank=4,
# MLA fields must be valid even when not used
kv_lora_rank=16,
q_lora_rank=32,
qk_rope_head_dim=8,
qk_nope_head_dim=8,
v_head_dim=8,
)
defaults.update(overrides)
return MythosConfig(**defaults)
def mla_cfg(**overrides) -> MythosConfig:
return gqa_cfg(attn_type="mla", **overrides)
# ---------------------------------------------------------------------------
# RMSNorm
# ---------------------------------------------------------------------------
class TestRMSNorm:
def test_output_shape(self):
norm = RMSNorm(64)
x = torch.randn(2, 8, 64)
assert norm(x).shape == x.shape
def test_unit_rms(self):
# after norm the RMS of each vector should be ≈ 1 when weight=1
norm = RMSNorm(64)
torch.nn.init.ones_(norm.weight)
x = torch.randn(4, 64)
out = norm(x)
rms = out.pow(2).mean(-1).sqrt()
assert torch.allclose(rms, torch.ones_like(rms), atol=1e-4)
def test_learnable_weight(self):
norm = RMSNorm(8)
assert norm.weight.requires_grad
# ---------------------------------------------------------------------------
# RoPE utilities
# ---------------------------------------------------------------------------
class TestRoPE:
def test_precompute_shape(self):
freqs = precompute_rope_freqs(dim=16, max_len=32)
assert freqs.shape == (32, 8) # (max_len, dim//2)
assert freqs.is_complex()
def test_apply_rope_shape(self):
freqs = precompute_rope_freqs(dim=16, max_len=32)
x = torch.randn(B, T, 4, 16)
out = apply_rope(x, freqs[:T])
assert out.shape == x.shape
def test_apply_rope_preserves_norm(self):
# rotation is an isometry — norms must be unchanged
freqs = precompute_rope_freqs(dim=16, max_len=32)
x = torch.randn(B, T, 4, 16)
out = apply_rope(x, freqs[:T])
assert torch.allclose(x.norm(dim=-1), out.norm(dim=-1), atol=1e-5)
def test_different_positions_differ(self):
freqs = precompute_rope_freqs(dim=16, max_len=32)
x = torch.ones(1, 2, 1, 16)
out = apply_rope(x, freqs[:2])
# position 0 and position 1 should produce different rotations
assert not torch.allclose(out[0, 0], out[0, 1])
# ---------------------------------------------------------------------------
# RoPE extended — correctness invariants
# ---------------------------------------------------------------------------
class TestRoPEExtended:
"""Comprehensive correctness tests for precompute_rope_freqs and apply_rope."""
# --- precompute_rope_freqs ---
def test_position_zero_is_unit_phasor(self):
"""freqs[0] must be all 1+0j (angle = 0 * freq = 0 for every pair)."""
freqs = precompute_rope_freqs(dim=16, max_len=8)
expected = torch.ones(8, dtype=torch.complex64)
assert torch.allclose(freqs[0], expected, atol=1e-6)
def test_all_phasors_have_unit_magnitude(self):
"""Every phasor magnitude must be 1 — RoPE is an isometric rotation."""
freqs = precompute_rope_freqs(dim=16, max_len=32)
assert torch.allclose(freqs.abs(), torch.ones_like(freqs.abs()), atol=1e-6)
def test_angles_equal_outer_product(self):
"""freqs[t, k].angle() must equal t × base_freq[k] for all t, k."""
dim, max_len, theta = 8, 6, 500000.0
freqs = precompute_rope_freqs(dim=dim, max_len=max_len, theta=theta)
base = 1.0 / (theta ** (torch.arange(0, dim, 2, dtype=torch.float32) / dim))
t = torch.arange(max_len, dtype=torch.float32)
expected = torch.polar(torch.ones(max_len, dim // 2), torch.outer(t, base))
assert torch.allclose(freqs.real, expected.real, atol=1e-6)
assert torch.allclose(freqs.imag, expected.imag, atol=1e-6)
def test_higher_theta_produces_smaller_angles(self):
"""Larger theta → slower frequency decay → smaller rotation angle per step.
Index 0 (dim_i=0) is excluded: its frequency is 1/(theta^0)=1 for any theta,
so the comparison is not meaningful there.
"""
dim, max_len = 16, 8
freqs_fast = precompute_rope_freqs(dim=dim, max_len=max_len, theta=100.0)
freqs_slow = precompute_rope_freqs(dim=dim, max_len=max_len, theta=500000.0)
assert (freqs_fast[1, 1:].angle().abs() > freqs_slow[1, 1:].angle().abs()).all()
def test_default_theta_matches_explicit(self):
"""Omitting theta must equal passing theta=500000.0."""
f1 = precompute_rope_freqs(16, 8)
f2 = precompute_rope_freqs(16, 8, theta=500000.0)
assert torch.allclose(f1.real, f2.real) and torch.allclose(f1.imag, f2.imag)
# --- apply_rope ---
def test_position_zero_is_identity(self):
"""T=1 input uses only freqs[0] = 1+0j, so output must equal input."""
freqs = precompute_rope_freqs(dim=16, max_len=8)
x = torch.randn(2, 1, 4, 16)
out = apply_rope(x, freqs[:1])
assert torch.allclose(x, out, atol=1e-6)
def test_dtype_float32_preserved(self):
freqs = precompute_rope_freqs(dim=16, max_len=16)
x = torch.randn(1, 4, 2, 16).float()
assert apply_rope(x, freqs[:4]).dtype == torch.float32
def test_dtype_float16_preserved(self):
freqs = precompute_rope_freqs(dim=16, max_len=16)
x = torch.randn(1, 4, 2, 16).half()
assert apply_rope(x, freqs[:4]).dtype == torch.float16
def test_inverse_rotation_recovers_input(self):
"""Rotating by freqs then by conj(freqs) (inverse) must recover the original."""
dim = 16
freqs = precompute_rope_freqs(dim=dim, max_len=8)
x = torch.randn(2, 4, 3, dim)
rotated = apply_rope(x, freqs[:4])
xc = torch.view_as_complex(rotated.float().reshape(*rotated.shape[:-1], -1, 2))
inv = freqs.conj()[:4].unsqueeze(0).unsqueeze(2)
recovered = torch.view_as_real(xc * inv).flatten(-2).to(x.dtype)
assert torch.allclose(x, recovered, atol=1e-5)
def test_batch_independence(self):
"""Output for one batch item must not depend on other items in the batch."""
dim = 16
freqs = precompute_rope_freqs(dim=dim, max_len=16)
torch.manual_seed(7)
x_a = torch.randn(1, 4, 2, dim)
x_b = torch.randn(1, 4, 2, dim)
solo = apply_rope(x_a, freqs[:4])
batched = apply_rope(torch.cat([x_a, x_b], dim=0), freqs[:4])[:1]
assert torch.allclose(solo, batched, atol=1e-6)
def test_head_independence(self):
"""All heads at the same position must receive identical rotations."""
dim = 16
freqs = precompute_rope_freqs(dim=dim, max_len=8)
x = torch.randn(1, 4, 1, dim).expand(1, 4, 3, dim).contiguous()
out = apply_rope(x, freqs[:4])
assert torch.allclose(out[:, :, 0], out[:, :, 1], atol=1e-6)
assert torch.allclose(out[:, :, 1], out[:, :, 2], atol=1e-6)
def test_relative_position_property(self):
"""
Core RoPE invariant: <RoPE(q,m), RoPE(k,n)> depends only on (n-m).
Two pairs with the same offset must produce the same dot product.
"""
dim, max_len = 16, 32
freqs = precompute_rope_freqs(dim=dim, max_len=max_len)
torch.manual_seed(42)
q = torch.randn(1, 1, 1, dim)
k = torch.randn(1, 1, 1, dim)
def rope_at(tensor, pos):
"""Rotate tensor at a specific position by embedding it in a zero sequence."""
seq = torch.zeros(1, pos + 1, 1, dim)
seq[0, pos] = tensor[0, 0]
return apply_rope(seq, freqs[: pos + 1])[:, pos : pos + 1]
# Both pairs have relative offset n - m = 6
dot_3_9 = (rope_at(q, 3) * rope_at(k, 9)).sum()
dot_1_7 = (rope_at(q, 1) * rope_at(k, 7)).sum()
assert torch.allclose(dot_3_9, dot_1_7, atol=1e-5)
def test_max_len_boundary(self):
"""apply_rope must handle T == max_len without error or NaN."""
max_len = 10
freqs = precompute_rope_freqs(dim=8, max_len=max_len)
x = torch.randn(1, max_len, 2, 8)
out = apply_rope(x, freqs)
assert out.shape == x.shape
assert not torch.isnan(out).any()
def test_exceeds_max_len_raises(self):
"""apply_rope must raise RuntimeError when T > max_len."""
freqs = precompute_rope_freqs(dim=8, max_len=4)
x = torch.randn(1, 8, 2, 8) # T=8 > max_len=4
with pytest.raises(RuntimeError):
apply_rope(x, freqs)
# ---------------------------------------------------------------------------
# GQAttention
# ---------------------------------------------------------------------------
class TestGQAttention:
def setup_method(self):
self.cfg = gqa_cfg()
self.freqs = precompute_rope_freqs(
self.cfg.dim // self.cfg.n_heads, self.cfg.max_seq_len
)
self.attn = GQAttention(self.cfg)
def test_output_shape(self):
x = torch.randn(B, T, self.cfg.dim)
out = self.attn(x, self.freqs)
assert out.shape == (B, T, self.cfg.dim)
def test_kv_cache_accumulates(self):
cache = {}
x = torch.randn(B, T, self.cfg.dim)
self.attn(x, self.freqs, kv_cache=cache, cache_key="layer0")
assert "layer0" in cache
k_len = cache["layer0"]["k"].shape[1]
# second call adds T more tokens
self.attn(x, self.freqs, kv_cache=cache, cache_key="layer0")
assert cache["layer0"]["k"].shape[1] == k_len + T
def test_with_causal_mask(self):
x = torch.randn(B, T, self.cfg.dim)
mask = torch.full((1, 1, T, T), float("-inf"))
mask = torch.triu(mask, diagonal=1)
out = self.attn(x, self.freqs, mask=mask)
assert out.shape == (B, T, self.cfg.dim)
# ---------------------------------------------------------------------------
# MLAttention
# ---------------------------------------------------------------------------
class TestMLAttention:
def setup_method(self):
self.cfg = mla_cfg()
self.freqs = precompute_rope_freqs(
self.cfg.qk_rope_head_dim, self.cfg.max_seq_len
)
self.attn = MLAttention(self.cfg)
def test_output_shape(self):
x = torch.randn(B, T, self.cfg.dim)
out = self.attn(x, self.freqs)
assert out.shape == (B, T, self.cfg.dim)
def test_cache_stores_compressed_kv(self):
cache = {}
x = torch.randn(B, T, self.cfg.dim)
self.attn(x, self.freqs, kv_cache=cache, cache_key="mla0")
assert "c_kv" in cache["mla0"]
assert "k_rope" in cache["mla0"]
# c_kv should have kv_lora_rank as last dim, not full K/V
assert cache["mla0"]["c_kv"].shape[-1] == self.cfg.kv_lora_rank
def test_cache_accumulates_across_steps(self):
cache = {}
x = torch.randn(B, T, self.cfg.dim)
self.attn(x, self.freqs, kv_cache=cache, cache_key="mla0")
first_len = cache["mla0"]["c_kv"].shape[1]
self.attn(x, self.freqs, kv_cache=cache, cache_key="mla0")
assert cache["mla0"]["c_kv"].shape[1] == first_len + T
def test_with_causal_mask(self):
x = torch.randn(B, T, self.cfg.dim)
mask = torch.triu(torch.full((1, 1, T, T), float("-inf")), diagonal=1)
out = self.attn(x, self.freqs, mask=mask)
assert out.shape == (B, T, self.cfg.dim)
# ---------------------------------------------------------------------------
# Expert (dense SwiGLU FFN)
# ---------------------------------------------------------------------------
class TestExpert:
def test_output_shape(self):
expert = Expert(dim=64, expert_dim=32)
x = torch.randn(B, T, 64)
assert expert(x).shape == (B, T, 64)
def test_flat_input(self):
expert = Expert(dim=32, expert_dim=16)
x = torch.randn(5, 32)
assert expert(x).shape == (5, 32)
# ---------------------------------------------------------------------------
# MoEFFN
# ---------------------------------------------------------------------------
class TestMoEFFN:
def setup_method(self):
self.cfg = gqa_cfg()
self.moe = MoEFFN(self.cfg)
def test_output_shape(self):
x = torch.randn(B, T, self.cfg.dim)
assert self.moe(x).shape == (B, T, self.cfg.dim)
def test_router_bias_not_grad(self):
# router_bias is a buffer, not a parameter
param_names = {n for n, _ in self.moe.named_parameters()}
assert "router_bias" not in param_names
def test_shared_experts_always_fire(self):
# Zero out all routed experts; output should still be nonzero from shared
for exp in self.moe.routed_experts:
for p in exp.parameters():
p.data.zero_()
x = torch.randn(B, T, self.cfg.dim)
out = self.moe(x)
assert out.abs().sum() > 0
# ---------------------------------------------------------------------------
# loop_index_embedding
# ---------------------------------------------------------------------------
class TestLoopIndexEmbedding:
def test_output_shape(self):
h = torch.randn(B, T, 64)
out = loop_index_embedding(h, loop_t=0, loop_dim=8)
assert out.shape == h.shape
def test_different_iterations_differ(self):
h = torch.zeros(1, 1, 64)
out0 = loop_index_embedding(h, loop_t=0, loop_dim=8)
out1 = loop_index_embedding(h, loop_t=1, loop_dim=8)
assert not torch.allclose(out0, out1)
def test_only_first_dims_modified(self):
h = torch.zeros(1, 1, 64)
loop_dim = 8
out = loop_index_embedding(h, loop_t=3, loop_dim=loop_dim)
# channels beyond loop_dim should be unchanged (still 0)
assert torch.all(out[..., loop_dim:] == 0)
# ---------------------------------------------------------------------------
# LoRAAdapter
# ---------------------------------------------------------------------------
class TestLoRAAdapter:
def setup_method(self):
self.lora = LoRAAdapter(dim=64, rank=8, max_loops=10)
def test_output_shape(self):
x = torch.randn(B, T, 64)
out = self.lora(x, loop_t=0)
assert out.shape == (B, T, 64)
def test_different_loops_differ(self):
x = torch.randn(B, T, 64)
out0 = self.lora(x, loop_t=0)
out1 = self.lora(x, loop_t=1)
assert not torch.allclose(out0, out1)
# ---------------------------------------------------------------------------
# TransformerBlock
# ---------------------------------------------------------------------------
class TestTransformerBlock:
def test_gqa_output_shape(self):
cfg = gqa_cfg()
block = TransformerBlock(cfg, use_moe=False)
freqs = precompute_rope_freqs(cfg.dim // cfg.n_heads, cfg.max_seq_len)
x = torch.randn(B, T, cfg.dim)
assert block(x, freqs).shape == (B, T, cfg.dim)
def test_mla_output_shape(self):
cfg = mla_cfg()
block = TransformerBlock(cfg, use_moe=False)
freqs = precompute_rope_freqs(cfg.qk_rope_head_dim, cfg.max_seq_len)
x = torch.randn(B, T, cfg.dim)
assert block(x, freqs).shape == (B, T, cfg.dim)
def test_moe_block_output_shape(self):
cfg = gqa_cfg()
block = TransformerBlock(cfg, use_moe=True)
freqs = precompute_rope_freqs(cfg.dim // cfg.n_heads, cfg.max_seq_len)
x = torch.randn(B, T, cfg.dim)
assert block(x, freqs).shape == (B, T, cfg.dim)
def test_attn_type_selection(self):
assert isinstance(TransformerBlock(gqa_cfg()).attn, GQAttention)
assert isinstance(TransformerBlock(mla_cfg()).attn, MLAttention)
# ---------------------------------------------------------------------------
# LTIInjection
# ---------------------------------------------------------------------------
class TestLTIInjection:
def setup_method(self):
self.inj = LTIInjection(dim=64)
def test_output_shape(self):
h = torch.randn(B, T, 64)
e = torch.randn(B, T, 64)
t = torch.randn(B, T, 64)
assert self.inj(h, e, t).shape == (B, T, 64)
def test_spectral_radius_lt_1(self):
A = self.inj.get_A()
assert A.max().item() < 1.0
def test_spectral_radius_gt_0(self):
A = self.inj.get_A()
assert A.min().item() > 0.0
def test_spectral_radius_stable_after_large_grad_step(self):
# Simulate an aggressive gradient update and verify stability holds
opt = torch.optim.SGD(self.inj.parameters(), lr=1e3)
h = torch.randn(B, T, 64)
e = torch.randn(B, T, 64)
t = torch.randn(B, T, 64)
loss = self.inj(h, e, t).sum()
loss.backward()
opt.step()
A = self.inj.get_A()
assert A.max().item() < 1.0
# ---------------------------------------------------------------------------
# ACTHalting
# ---------------------------------------------------------------------------
class TestACTHalting:
def setup_method(self):
self.act = ACTHalting(dim=64)
def test_output_shape(self):
h = torch.randn(B, T, 64)
p = self.act(h)
assert p.shape == (B, T)
def test_values_in_01(self):
h = torch.randn(B, T, 64)
p = self.act(h)
assert p.min().item() >= 0.0
assert p.max().item() <= 1.0
# ---------------------------------------------------------------------------
# RecurrentBlock
# ---------------------------------------------------------------------------
class TestRecurrentBlock:
def setup_method(self):
self.cfg = gqa_cfg()
self.block = RecurrentBlock(self.cfg)
self.freqs = precompute_rope_freqs(
self.cfg.dim // self.cfg.n_heads, self.cfg.max_seq_len
)
def test_output_shape(self):
h = torch.randn(B, T, self.cfg.dim)
e = torch.randn(B, T, self.cfg.dim)
out = self.block(h, e, self.freqs)
assert out.shape == (B, T, self.cfg.dim)
def test_more_loops_changes_output(self):
h = torch.randn(B, T, self.cfg.dim)
e = torch.randn(B, T, self.cfg.dim)
out1 = self.block(h.clone(), e.clone(), self.freqs, n_loops=1)
out3 = self.block(h.clone(), e.clone(), self.freqs, n_loops=3)
assert not torch.allclose(out1, out3)
def test_single_loop_runs(self):
h = torch.randn(B, T, self.cfg.dim)
e = torch.randn(B, T, self.cfg.dim)
out = self.block(h, e, self.freqs, n_loops=1)
assert out.shape == (B, T, self.cfg.dim)
# ---------------------------------------------------------------------------
# OpenMythos — GQA mode
# ---------------------------------------------------------------------------
class TestOpenMythosGQA:
def setup_method(self):
self.cfg = gqa_cfg()
self.model = OpenMythos(self.cfg)
self.ids = torch.randint(0, self.cfg.vocab_size, (B, T))
def test_forward_shape(self):
logits = self.model(self.ids)
assert logits.shape == (B, T, self.cfg.vocab_size)
def test_forward_no_nan(self):
logits = self.model(self.ids)
assert not torch.isnan(logits).any()
def test_generate_shape(self):
out = self.model.generate(self.ids, max_new_tokens=4, n_loops=2)
assert out.shape == (B, T + 4)
def test_weight_tying(self):
assert self.model.head.weight is self.model.embed.weight
def test_lti_spectral_radius(self):
A = self.model.recurrent.injection.get_A()
assert A.max().item() < 1.0
def test_depth_extrapolation_changes_output(self):
# More loops at inference should produce different (ideally better) output
logits_shallow = self.model(self.ids, n_loops=1)
logits_deep = self.model(self.ids, n_loops=3)
assert not torch.allclose(logits_shallow, logits_deep)
def test_kv_cache_generate_matches_no_cache(self):
# Single-token generation with and without cache should agree
torch.manual_seed(0)
prompt = torch.randint(0, self.cfg.vocab_size, (1, T))
with torch.no_grad():
logits_no_cache = self.model(prompt, n_loops=2)[:, -1, :]
cache = {}
logits_cached = self.model(prompt, n_loops=2, kv_cache=cache)[:, -1, :]
assert torch.allclose(logits_no_cache, logits_cached, atol=1e-4)
def test_single_token_forward(self):
# Mask is None when T=1; should not crash
single = torch.randint(0, self.cfg.vocab_size, (B, 1))
logits = self.model(single)
assert logits.shape == (B, 1, self.cfg.vocab_size)
# ---------------------------------------------------------------------------
# OpenMythos — MLA mode
# ---------------------------------------------------------------------------
class TestOpenMythosMLА:
def setup_method(self):
self.cfg = mla_cfg()
self.model = OpenMythos(self.cfg)
self.ids = torch.randint(0, self.cfg.vocab_size, (B, T))
def test_forward_shape(self):
logits = self.model(self.ids)
assert logits.shape == (B, T, self.cfg.vocab_size)
def test_forward_no_nan(self):
assert not torch.isnan(self.model(self.ids)).any()
def test_generate_shape(self):
out = self.model.generate(self.ids, max_new_tokens=4, n_loops=2)
assert out.shape == (B, T + 4)
def test_lti_spectral_radius(self):
A = self.model.recurrent.injection.get_A()
assert A.max().item() < 1.0
def test_mla_cache_is_compressed(self):
# MLA cache should store c_kv (lora_rank), not full K/V (n_heads * head_dim)
cache = {}
with torch.no_grad():
self.model(self.ids, kv_cache=cache)
# find any MLA cache entry and check dimensions
mla_entries = {k: v for k, v in cache.items() if "c_kv" in v}
assert len(mla_entries) > 0
for entry in mla_entries.values():
assert entry["c_kv"].shape[-1] == self.cfg.kv_lora_rank
# ---------------------------------------------------------------------------
# GQA vs MLA: same config, different attn_type
# ---------------------------------------------------------------------------
class TestAttnTypeSwap:
def test_gqa_and_mla_produce_different_outputs(self):
cfg_gqa = gqa_cfg()
cfg_mla = mla_cfg()
ids = torch.randint(0, cfg_gqa.vocab_size, (B, T))
logits_gqa = OpenMythos(cfg_gqa)(ids)
logits_mla = OpenMythos(cfg_mla)(ids)
# different architectures, different params → outputs must differ
assert not torch.allclose(logits_gqa, logits_mla)
def test_both_modes_produce_valid_shapes(self):
ids = torch.randint(0, 200, (B, T))
for attn_type in ("gqa", "mla"):
cfg = gqa_cfg(attn_type=attn_type)
logits = OpenMythos(cfg)(ids)
assert logits.shape == (B, T, cfg.vocab_size)
def test_mla_fewer_kv_cache_bytes(self):
# MLA cache should be smaller than GQA cache for the same sequence
ids = torch.randint(0, 200, (1, T))
cache_gqa, cache_mla = {}, {}
with torch.no_grad():
OpenMythos(gqa_cfg())(ids, kv_cache=cache_gqa)
OpenMythos(mla_cfg())(ids, kv_cache=cache_mla)
def cache_bytes(cache):
return sum(
t.numel() * t.element_size()
for entry in cache.values()
for t in entry.values()
)
assert cache_bytes(cache_mla) < cache_bytes(cache_gqa)
if __name__ == "__main__":
pytest.main([__file__, "--verbose"])