Extracted from lato.2_mrp_mlx. The same sparse module underlies LATO.2, Pixal3D and the rest of the TRELLIS.2 family, and all of them are blocked on Apple Silicon by the same single op - submanifold conv - so it belongs in one tested package rather than vendored per port. 13/13 tests: 7 for the conv against a hand-written reference (spconv is uninstallable here so there is no upstream oracle), 6 for the remaining layers against torch. SubMConv3d runs 13.8ms at 128^3/128ch on m3ultra, 5.9x faster than the obvious per-offset loop.
182 lines
7.3 KiB
Python
182 lines
7.3 KiB
Python
"""Submanifold sparse 3D convolution in pure MLX.
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This is the ONLY genuinely CUDA-locked operation in LATO.2's inference path. Upstream
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routes it to `spconv.SubMConv3d` (or torchsparse); neither has a Metal build, which is
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what has kept LATO.2 — and TRELLIS before it — off Apple Silicon.
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Every SparseConv3d in the LATO.2 model code is constructed with the defaults
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`stride=1, padding=None`, which upstream dispatches to SubMConv3d. So only the
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submanifold case is needed, at kernel sizes 3 and 1.
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Submanifold semantics: the output occupies EXACTLY the input coordinates (no dilation of
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the occupied set). For each output voxel c:
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out[c] = bias + sum over kernel offsets d of W[d] @ feats[c + d] (c+d occupied)
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Absent neighbours contribute nothing. Implemented by gathering into a feature matrix with
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one appended zero row, so "missing" is index N and needs no masking in the hot loop.
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Building the indice map is the expensive part and depends only on the coordinate set, so
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it is cached on the SparseTensor under `indice_key` — the same trick spconv uses, and the
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reason upstream threads `indice_key=f"res_{resolution}"` through the ResBlocks.
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"""
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from __future__ import annotations
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from typing import Optional
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import mlx.core as mx
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import mlx.nn as nn
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import numpy as np
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from .tensor import SparseTensor
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_MISSING = -1
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def _kernel_offsets(k: int) -> np.ndarray:
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"""Kernel offsets in C order over (dz, dy, dx), centred — matches spconv's ordering."""
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r = np.arange(k) - (k // 2)
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return np.stack(np.meshgrid(r, r, r, indexing="ij"), axis=-1).reshape(-1, 3)
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def build_indice_map(coords: mx.array, kernel_size: int) -> np.ndarray:
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"""[K^3, N] int32 — for each offset, the row of the neighbour, or -1 if unoccupied.
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Uses a sorted-key binary search rather than a Python dict: at k=3 this is 27 lookups
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per voxel, and a per-voxel dict lookup would dominate runtime for any real mesh.
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"""
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c = np.asarray(coords, dtype=np.int64)
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n = c.shape[0]
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if n == 0:
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return np.full((kernel_size**3, 0), _MISSING, dtype=np.int32)
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offsets = _kernel_offsets(kernel_size)
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pad = kernel_size // 2
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# Encode (batch,z,y,x) into one int64. Shift by `pad` so that neighbour coordinates
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# of -1 stay non-negative and cannot alias onto a real cell at the opposite edge.
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lo = c.min(axis=0) - pad
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ext = (c.max(axis=0) + pad) - lo + 1
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strides = np.array(
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[ext[1] * ext[2] * ext[3], ext[2] * ext[3], ext[3], 1], dtype=np.int64
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)
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def encode(arr: np.ndarray) -> np.ndarray:
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return ((arr - lo) * strides).sum(axis=1)
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keys = encode(c)
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order = np.argsort(keys, kind="stable")
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sorted_keys = keys[order]
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imap = np.empty((offsets.shape[0], n), dtype=np.int32)
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for i, d in enumerate(offsets):
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probe = c.copy()
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probe[:, 1:] += d # batch index (column 0) never shifts
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pk = encode(probe)
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pos = np.searchsorted(sorted_keys, pk)
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pos_clipped = np.clip(pos, 0, n - 1)
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hit = sorted_keys[pos_clipped] == pk
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imap[i] = np.where(hit, order[pos_clipped], _MISSING).astype(np.int32)
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return imap
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class SubMConv3d(nn.Module):
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"""Submanifold sparse conv. Weight layout [K^3, in_channels, out_channels]."""
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def __init__(
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self,
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in_channels: int,
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out_channels: int,
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kernel_size: int = 3,
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bias: bool = True,
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indice_key: Optional[str] = None,
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):
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super().__init__()
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if kernel_size % 2 != 1:
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raise ValueError(f"kernel_size must be odd, got {kernel_size}")
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self.in_channels = in_channels
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self.out_channels = out_channels
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self.kernel_size = kernel_size
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self.indice_key = indice_key
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scale = (in_channels * kernel_size**3) ** -0.5
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self.weight = mx.random.uniform(
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-scale, scale, (kernel_size**3, in_channels, out_channels)
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)
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if bias:
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self.bias = mx.zeros((out_channels,))
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def _gather_index(self, x: SparseTensor, n: int) -> mx.array:
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"""Cached [N, K^3] gather index, already on-device.
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Caching only the raw indice map is not enough: rebuilding the "missing -> N"
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substitution and re-uploading the index cost more than the convolution itself.
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At 128^3/128ch that overhead was ~26ms against ~13ms of actual GPU work, i.e.
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two thirds of the measured time was CPU-side bookkeeping repeated every layer.
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The transposed, sentinel-substituted device array depends only on the
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coordinate set, so it is cached whole.
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"""
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key = f"gidx_k{self.kernel_size}_{self.indice_key}"
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cached = x.cache_get(key)
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if cached is not None:
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return cached
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imap = build_indice_map(x.coords, self.kernel_size)
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idx_t = mx.array(np.where(imap == _MISSING, n, imap).T) # [N, K^3]
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x.cache_put(key, idx_t)
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return idx_t
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def __call__(self, x: SparseTensor) -> SparseTensor:
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n = x.feats.shape[0]
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# k=1 touches only the centre voxel, so it is exactly a per-voxel linear —
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# skip the indice map entirely.
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if self.kernel_size == 1:
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out = x.feats @ self.weight[0]
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if hasattr(self, "bias"):
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out = out + self.bias
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return x.replace(out)
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# One appended zero row: absent neighbours index it and contribute nothing,
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# which avoids a per-offset boolean mask.
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feats_pad = mx.concatenate(
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[x.feats, mx.zeros((1, self.in_channels), dtype=x.feats.dtype)], axis=0
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)
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idx_t = self._gather_index(x, n) # [N, K^3], cached on device
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k3 = self.kernel_size**3
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# Fuse the K^3 taps into ONE gather + ONE matmul.
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#
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# The obvious implementation loops over the K^3 offsets accumulating
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# `gather(i) @ W[i]`, but that issues 2*K^3 tiny GPU dispatches with Python
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# between them, and each is far too small to fill the machine. Fleet
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# benchmarking made this unmistakable: the 80-core M3 Ultra came in SLOWER
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# than a 38-core M2 Max (81.6ms vs 58.3ms at 128^3/128ch), i.e. throughput was
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# anti-correlated with core count — the signature of launch-latency binding
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# rather than compute binding.
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#
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# Concatenating neighbours along the channel axis turns the whole thing into a
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# single [N, K^3*Cin] x [K^3*Cin, Cout] matmul, which is one dispatch big
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# enough to actually occupy the GPU.
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#
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# That buffer is N*K^3*Cin floats, so it is chunked over rows to keep peak
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# memory bounded (~256MB/chunk) — at 128^3 and 128ch the unchunked form alone
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# would be ~2.9GB, which is fine on a Studio and not fine on an 8GB mini.
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w_flat = self.weight.reshape(k3 * self.in_channels, self.out_channels).astype(
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x.feats.dtype
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)
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bytes_per_row = k3 * self.in_channels * 4
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chunk = max(1, min(n, (256 << 20) // max(bytes_per_row, 1)))
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outs = []
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for start in range(0, n, chunk):
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stop = min(start + chunk, n)
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g = mx.take(feats_pad, idx_t[start:stop].reshape(-1), axis=0)
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g = g.reshape(stop - start, k3 * self.in_channels)
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outs.append(g @ w_flat)
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out = outs[0] if len(outs) == 1 else mx.concatenate(outs, axis=0)
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if hasattr(self, "bias"):
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out = out + self.bias.astype(x.feats.dtype)
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return x.replace(out)
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