chore: import upstream snapshot with attribution
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# SPDX-License-Identifier: Apache-2.0
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# SPDX-FileCopyrightText: Copyright contributors to the vLLM project
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import torch
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import torch.nn.functional as F
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from einops import rearrange, repeat
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def selective_state_update_ref(
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state, x, dt, A, B, C, D=None, z=None, dt_bias=None, dt_softplus=False
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):
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"""
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Argument:
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state: (batch, dim, dstate) or (batch, nheads, dim, dstate)
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x: (batch, dim) or (batch, nheads, dim)
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dt: (batch, dim) or (batch, nheads, dim)
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A: (dim, dstate) or (nheads, dim, dstate)
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B: (batch, dstate) or (batch, ngroups, dstate)
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C: (batch, dstate) or (batch, ngroups, dstate)
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D: (dim,) or (nheads, dim)
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z: (batch, dim) or (batch, nheads, dim)
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dt_bias: (dim,) or (nheads, dim)
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Return:
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out: (batch, dim) or (batch, nheads, dim)
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"""
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has_heads = state.dim() > 3
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if state.dim() == 3:
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state = state.unsqueeze(1)
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if x.dim() == 2:
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x = x.unsqueeze(1)
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if dt.dim() == 2:
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dt = dt.unsqueeze(1)
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if A.dim() == 2:
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A = A.unsqueeze(0)
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if B.dim() == 2:
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B = B.unsqueeze(1)
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if C.dim() == 2:
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C = C.unsqueeze(1)
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if D is not None and D.dim() == 1:
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D = D.unsqueeze(0)
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if z is not None and z.dim() == 2:
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z = z.unsqueeze(1)
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if dt_bias is not None and dt_bias.dim() == 1:
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dt_bias = dt_bias.unsqueeze(0)
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batch, nheads, dim, dstate = state.shape
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assert x.shape == (batch, nheads, dim)
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assert dt.shape == x.shape
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assert A.shape == (nheads, dim, dstate)
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ngroups = B.shape[1]
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assert nheads % ngroups == 0, "nheads must be divisible by ngroups"
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assert B.shape == (batch, ngroups, dstate)
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assert C.shape == B.shape
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if D is not None:
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assert D.shape == (nheads, dim)
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if z is not None:
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assert z.shape == x.shape
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if dt_bias is not None:
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assert dt_bias.shape == (nheads, dim)
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dt = dt + dt_bias
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dt = F.softplus(dt) if dt_softplus else dt
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dA = torch.exp(
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rearrange(dt, "b h d -> b h d 1") * A
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) # (batch, nheads, dim, dstate)
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B = repeat(B, "b g n -> b (g h) n", h=nheads // ngroups) # (batch, nheads, dstate)
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C = repeat(C, "b g n -> b (g h) n", h=nheads // ngroups) # (batch, nheads, dstate)
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dB = rearrange(dt, "b h d -> b h d 1") * rearrange(
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B, "b h n -> b h 1 n"
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) # (batch, nheads, dim, dstate)
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state.copy_(
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state * dA + dB * rearrange(x, "b h d -> b h d 1")
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) # (batch, dim, dstate
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out = torch.einsum("bhdn,bhn->bhd", state.to(C.dtype), C)
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if D is not None:
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out += (x * D).to(out.dtype)
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out = (out if z is None else out * F.silu(z)).to(x.dtype)
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if not has_heads:
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out = out.squeeze(1)
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return out
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