| |
| |
| |
|
|
| import gc |
|
|
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
|
|
| try: |
| import conv1d_cpp |
| except: |
| pass |
| from .utils import column_split |
|
|
| IIR_PREFILL_MODES = [ |
| "recurrence", |
| "modal-fft", |
| "hybrid-modal-recurrence", |
| "modal-scan", |
| "canonical-fft", |
| "iir-fir-caching", |
| ] |
|
|
|
|
| def canonicalize_modal_system(poles, residues): |
| """Canonicalize a modal system. |
| |
| Args: |
| poles (Tensor): The poles of the system. |
| residues (Tensor): The residues of the system. |
| |
| Returns: |
| Tuple[Tensor, Tensor]: The canonicalized poles and residues. |
| """ |
| raise NotImplementedError |
|
|
|
|
| def list_tensors(idx): |
| for obj in gc.get_objects(): |
| try: |
| if torch.is_tensor(obj) and isinstance(obj, torch.Tensor): |
| |
| print(type(obj), obj.size()) |
| el = obj[0] |
| with open(f"tensors_{idx}.txt", "a") as f: |
| f.write(f"{type(obj)} {obj.size()} {el}\n") |
| except Exception as e: |
| pass |
|
|
|
|
| class HyenaInferenceEngine: |
| def __init__( |
| self, |
| fir_fn=None, |
| iir_prefill_style="modal-fft", |
| layer_idx=None, |
| ) -> None: |
| self.fir_fn = fir_fn |
| assert iir_prefill_style in IIR_PREFILL_MODES, f"iir_prefill_style must be one of {IIR_PREFILL_MODES}" |
| self.iir_prefill_style = iir_prefill_style |
| self.layer_idx = layer_idx |
| self.low_mem_mode = False |
|
|
| def parallel_fir( |
| self, |
| fir_fn, |
| u, |
| weight, |
| bias, |
| L, |
| fir_length=3, |
| inference_params=None, |
| prefill_mode=None, |
| padding_mask=None, |
| ): |
| """Compute the output state of the long convolutional filter.""" |
| |
| if fir_fn != torch.nn.functional.conv1d: |
| z_pre = fir_fn(u)[:, :L] |
| z_pre = z_pre.permute(0, 2, 1) |
| else: |
| u = u.permute(0, 2, 1) |
| z_pre = fir_fn( |
| u, |
| weight, |
| bias=None, |
| stride=1, |
| padding=fir_length - 1, |
| groups=u.shape[1], |
| )[..., :L] |
|
|
| |
| z_pre = z_pre + bias[None, :, None] |
|
|
| |
| if type(padding_mask) == torch.Tensor: |
| z_pre = z_pre * padding_mask[:, None] |
|
|
| if inference_params is not None: |
| |
| if fir_fn != torch.nn.functional.conv1d: |
| fir_state = u[:, -fir_length + 1 :].permute(0, 2, 1) |
| else: |
| fir_state = u[..., -fir_length + 1 :] |
| else: |
| fir_state = None |
|
|
| return z_pre, fir_state |
|
|
| def parallel_iir( |
| self, |
| z_pre, |
| h, |
| D, |
| L, |
| poles, |
| residues, |
| t, |
| dims, |
| layer_idx, |
| inference_params=None, |
| prefill_style="fft", |
| fftconv_fn=None, |
| padding_mask=None, |
| use_flashfft=False, |
| column_split_hyena=False, |
| long_fir_threshold=None, |
| ): |
| """Compute the output state of the short convolutional filter.""" |
| fft_size = 2 * L |
| hidden_size, num_attention_heads, hidden_size_per_attention_head, _, _ = dims |
| |
| if column_split_hyena: |
| z = z_pre.reshape( |
| z_pre.shape[0], |
| num_attention_heads, |
| 3 * hidden_size_per_attention_head, |
| z_pre.shape[2], |
| ) |
| x2, x1, v = ( |
| z[:, :, :hidden_size_per_attention_head], |
| z[ |
| :, |
| :, |
| hidden_size_per_attention_head : 2 * hidden_size_per_attention_head, |
| ], |
| z[:, :, 2 * hidden_size_per_attention_head :], |
| ) |
| x2, x1, v = ( |
| x2.reshape(x2.shape[0], -1, x2.shape[-1]), |
| x1.reshape(x1.shape[0], -1, x1.shape[-1]), |
| v.reshape(v.shape[0], -1, v.shape[-1]), |
| ) |
| else: |
| x2, x1, v = z_pre.split([hidden_size, hidden_size, hidden_size], dim=1) |
|
|
| x1v = x1 * v |
|
|
| if inference_params is not None and prefill_style == "recurrence": |
| y = self.prefill_via_direct_recurrence( |
| inference_params=inference_params, |
| x1v=x1v, |
| L=L, |
| poles=poles, |
| residues=residues, |
| ) |
|
|
| else: |
| if use_flashfft and (L % 2) == 0: |
| y = fftconv_fn( |
| x1v.to(dtype=torch.bfloat16).contiguous(), |
| h.to(dtype=torch.float32), |
| ) |
| X_s = None |
|
|
| elif long_fir_threshold is None: |
| H = torch.fft.rfft(h.to(dtype=torch.float32), n=fft_size) / fft_size |
| X_s = torch.fft.fft(x1v.to(dtype=torch.float32), n=fft_size) |
| X = X_s[..., : H.shape[-1]] |
| if len(z_pre.shape) > 3: |
| H = H.unsqueeze(1) |
| y = torch.fft.irfft(X * H, n=fft_size, norm="forward")[..., :L] |
|
|
| else: |
| assert h.shape[0] == 1, "batch size must be 1 for long_fir_threshold" |
| h = h[0][:, None] |
| h = h[..., :long_fir_threshold] |
| y = F.conv1d( |
| x1v, |
| h.to(dtype=x1v.dtype), |
| stride=1, |
| groups=x1v.shape[1], |
| padding=h.shape[-1] - 1, |
| )[..., :L] |
|
|
| y = y.to(dtype=x1v.dtype) |
| y = (y + x1v * D.unsqueeze(-1)) * x2 |
|
|
| if inference_params is not None: |
| if prefill_style == "fft": |
| self.prefill_via_modal_fft( |
| inference_params=inference_params, |
| x1v=x1v, |
| X_s=X_s, |
| L=L, |
| t=t, |
| poles=poles, |
| dims=dims, |
| layer_idx=layer_idx, |
| use_flashfft=use_flashfft, |
| fftconv_fn=fftconv_fn, |
| ) |
|
|
| elif prefill_style == "recurrence": |
| |
| pass |
| else: |
| raise NotImplementedError |
| if self.low_mem_mode: |
| |
| del z_pre, x2, x1, v, x1v, h, poles, residues |
| torch.cuda.empty_cache() |
|
|
| return y.permute(0, 2, 1) |
|
|
| def step_fir(self, u, fir_state, weight, bias=None): |
| """Step the FIR filter. |
| |
| Note: |
| `fir_state` contains the last `short_filter_length - 1` elements of `u`: `u_(L-2), u_{L-1), ...` |
| We assume dimensions of `short_filter_weight` to be `[d, 1, short_filter_len]` (SISO / multi SISO layout). |
| """ |
| h0, h = weight[..., 0, -1], weight[..., 0, :-1] |
| h0, h = h0[None], h[None] |
| y = h0 * u + torch.sum(fir_state * h, dim=-1) + bias |
|
|
| |
| fir_state = torch.roll(fir_state, -1, dims=2) |
| fir_state[..., -1] = u |
| return y, fir_state |
|
|
| def step_iir(self, x2, x1, v, D, residues, poles, iir_state, iir_groups=1): |
| x1v = x1 * v |
|
|
| residues, poles = ( |
| torch.view_as_complex(residues.to(torch.float32)), |
| torch.view_as_complex(poles.to(torch.float32)), |
| ) |
| |
| |
| residues, poles = residues[..., 0][None], poles[..., 0][None] |
| iir_state = poles * iir_state + x1v[..., None] |
|
|
| res_state = torch.sum(residues * iir_state, dim=-1).real |
|
|
| if iir_groups > 1: |
| raise NotImplementedError |
| y = x2 * (res_state + D * x1v) |
|
|
| return y, iir_state |
|
|
| def prefill_via_fir_caching(self, u, inference_params, L, *args, **kwargs): |
| """Turns the IIR filter into a FIR and uses a cache for decoding.""" |
| raise NotImplementedError(":)") |
|
|
| def prefill_via_direct_recurrence( |
| self, inference_params, x1v, L, residues, poles, *args, **kwargs |
| ) -> torch.Tensor: |
| """ |
| Compute the IIR state via explicit SSM recurrence (modal form) |
| |
| This is the most memory efficient prefilling method for Hyena filters. |
| |
| Note: |
| dtypes: [state: float32, poles: float32, x1v: bfloat16, output: bfloat16] |
| """ |
| state_dim = poles.shape[1] |
| x1v_ = x1v[..., None, None] |
| x1v_ = x1v_.repeat(1, 1, 1, state_dim, 2) |
| x1v_[..., 1] = 0 |
|
|
| state = 0 * x1v_[:, :, 0] |
| output = 0 * x1v_[:, :, :, 0, 0] |
|
|
| |
| poles = poles[:, :, 0][None] |
| residues = residues[:, :, 0][None].repeat(x1v_.shape[0], 1, 1, 1) |
|
|
| |
| |
| |
| for i in range(L): |
| state[..., 0] = poles[..., 0] * state[..., 0] - poles[..., 1] * state[..., 1] + x1v_[:, :, i, :, 0] |
| state[..., 1] = poles[..., 0] * state[..., 1] + poles[..., 1] * state[..., 0] + x1v_[:, :, i, :, 1] |
| output[:, :, i] = torch.sum(residues * state, dim=-2)[..., 0] |
| |
| inference_params.state_dict[self.layer_idx] = torch.view_as_complex(state.to(dtype=torch.float32)) |
|
|
| return output |
|
|
| def prefill_via_hybrid_recurrence(self, inference_params, u, log_poles, x1v_f_a, L, *args, **kwargs): |
| """ |
| Compute the IIR state via hybrid recurrence-convolution over blocks |
| """ |
| raise NotImplementedError(":)") |
|
|
| def prefill_via_scan(self, u, inference_params=None, *args, **kwargs): |
| raise NotImplementedError |
|
|
| def prefill_via_canonical_fft(self, u, inference_params=None, *args, **kwargs): |
| """ |
| Compute the IIR state via a single FFT with the denominator of the SSM in companion form. |
| |
| This is the most memory efficient "parallelized" prefilling method for Hyena. |
| |
| From: https://arxiv.org/abs/2310.18780 |
| """ |
| raise NotImplementedError(":)") |
|
|
| def prefill_via_modal_fft( |
| self, |
| inference_params, |
| x1v, |
| L, |
| poles, |
| t, |
| dims, |
| layer_idx, |
| X_s=None, |
| use_flashfft=False, |
| fftconv_fn=None, |
| state_dtype=torch.complex64, |
| *args, |
| **kwargs, |
| ): |
| """ |
| Compute the IIR state via a single FFT, using the poles of the SSM in modal form. |
| """ |
| |
| |
| |
| hidden_size, _, _, state_size, hyena_filter_groups = dims |
|
|
| if use_flashfft: |
| |
| poles = poles.squeeze().reshape(poles.shape[0], -1)[..., None] |
|
|
| state_s = poles**t |
| if hyena_filter_groups > 1: |
| raise NotImplementedError |
|
|
| x1v = x1v[:, :, None].repeat(1, 1, 2 * state_size, 1) |
| x1v = x1v.reshape(x1v.shape[0], -1, x1v.shape[-1]) |
| state_s = state_s[None] |
|
|
| state = fftconv_fn( |
| x1v.contiguous(), |
| state_s.to(dtype=torch.float32), |
| ) |
| state = state[..., L - 1].reshape(x1v.shape[0], hidden_size, state_size, 2) |
| state = torch.view_as_complex(state.contiguous().to(dtype=torch.float32)) |
| inference_params.state_dict[self.layer_idx] = state |
| else: |
| assert X_s is not None |
| bs = x1v.shape[0] |
| fft_size = 2 * L |
| poles = torch.view_as_complex(poles.to(torch.float32)) |
| state_s = poles**t |
| state_S = torch.fft.fft(state_s, n=fft_size).repeat(bs, 1, 1, 1) |
| if hyena_filter_groups > 1: |
| state_S = state_S.repeat_interleave(hidden_size // hyena_filter_groups, 1) |
| state = torch.fft.ifft(X_s[..., None, :] * state_S, n=fft_size) |
| inference_params.state_dict[layer_idx] = state[..., L - 1].to(dtype=state_dtype) |
|
|
| def _compute_state(self, log_poles, u, t, L, *args, **kwargs): |
| """ |
| Compute the IIR state given an input `u` and log_poles of the modal system. |
| """ |
| bs = u.shape[0] |
| fft_size = 2 * L |
| U = torch.fft.rfft(u.to(torch.float32), n=fft_size) |
| fft_size = 2 * L |
| x = (log_poles * t).exp() |
| |
| X = torch.fft.fft(x, n=fft_size).repeat(bs, 1, 1, 1) |
| state = torch.fft.ifft(U[..., None, :] * X, n=fft_size)[..., :L] |
| return state |
|
|