Kernels
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import torch
import torch.nn as nn
from . import kernels
from typing import Optional

@torch.library.custom_op("scattermoe::bincount", mutates_args={})
def compileable_bincount(x: torch.Tensor, minlength: int) -> torch.Tensor:
        return x.bincount(minlength=minlength)

@compileable_bincount.register_fake
def _(x: torch.Tensor, minlength: int) -> torch.Tensor:
    return torch.empty(minlength, dtype=torch.long, device=x.device)

@torch.compile
def flatten_sort_count(expert_idxs: torch.Tensor, num_experts: int):
    with torch.no_grad():
        flattened_expert_idxs = expert_idxs.flatten()
        sorted_expert_idxs, sorted_scattered_idxs = torch.sort(flattened_expert_idxs)
        expert_counts = compileable_bincount(flattened_expert_idxs, minlength=num_experts)
        expert_offsets = expert_counts.cumsum(-1)
        return sorted_expert_idxs, sorted_scattered_idxs, expert_offsets



class ParallelLinear(torch.autograd.Function):
    @staticmethod
    def forward(
        ctx, 
        x: torch.Tensor, expert_weights: torch.Tensor, k: int,
        sorted_expert_idxs: torch.Tensor, sorted_scattered_idxs: torch.Tensor,
        expert_offsets: torch.Tensor,
        expert_biases: Optional[torch.Tensor]=None,
        gates: Optional[torch.Tensor]=None,
        grouped_in: bool =False, grouped_out: bool=False,
    ):
        with torch.device(x.device):
            output = kernels.ops.scatter2scatter(
                X=x, W=expert_weights,
                b=expert_biases, k=k,
                sorted_expert_idxs=sorted_expert_idxs,
                sorted_scattered_idxs=sorted_scattered_idxs,
                x_grouped=grouped_in, y_grouped=grouped_out
            )
            if gates is not None:
                output_expanded = output.view(gates.size(0), gates.size(1), output.size(-1))
                output = (gates.unsqueeze(1) @ output_expanded).squeeze(1)
            else:
                output_expanded = None

            ctx.save_for_backward(
                x, expert_weights,
                expert_biases,
                sorted_expert_idxs,
                sorted_scattered_idxs,
                expert_offsets,
                gates,
                output_expanded
            )
            ctx.grouped_in = grouped_in
            ctx.grouped_out = grouped_out
            ctx.k = k
        return output
    @staticmethod
    def backward(ctx, grad_out: torch.Tensor):
        with torch.device(grad_out.device):
            (x, expert_weights, expert_biases,
             sorted_expert_idxs,
             sorted_scattered_idxs,
             expert_offsets,
             gates, output_expanded) = ctx.saved_tensors
            k = ctx.k
            grouped_in = ctx.grouped_in
            grouped_out = ctx.grouped_out
            # print("backward")

            if gates is not None:
                # calculate gates gradient
                # d_gates = torch.bmm(output_expanded, grad_out[:, :, None]).squeeze(-1)
                d_gates = (output_expanded @ grad_out.unsqueeze(-1)).squeeze(-1)
                gates_flat = gates.flatten()
                gate_fan = gates.size(1)
                grouped_grad_out = output_expanded.flatten(0, 1) # reuse expanded buffer later
            else:
                d_gates = None
                gates_flat = None
                gate_fan = 1
                grouped_grad_out = None

            if grouped_out:
                grouped_grad_out = grad_out
            else:
                grouped_grad_out = kernels.ops.group(grad_out, sorted_scattered_idxs,
                                                     fan_out=gate_fan, coeff=gates_flat,
                                                     out=grouped_grad_out)
            if grouped_in:
                grouped_x = x
                d_expanded_input = None
            else:
                grouped_x = kernels.ops.group(x, sorted_scattered_idxs, fan_out=k)
                d_expanded_input = grouped_x

            d_weights, d_biases = kernels.ops.group_bwd_W(
                DY=grouped_grad_out, X=grouped_x,
                expert_offsets=expert_offsets,
                E=expert_weights.size(0),
                has_bias=expert_biases is not None
            )


            d_expanded_input = kernels.ops.scatter2scatter(
                X=grouped_grad_out, x_grouped=True,
                W=expert_weights.permute(0, 2, 1),
                sorted_expert_idxs=sorted_expert_idxs,
                sorted_scattered_idxs=sorted_scattered_idxs,
                k=1,
                y_grouped=grouped_in,
                out=d_expanded_input # Reuse grouped_x buffer
            )

            if k == 1:
                d_input = d_expanded_input
            else:
                d_input = d_expanded_input.view(x.size(0), k, d_expanded_input.size(-1)).sum(-2)
        # print("backward end.")
        return (
            # x, expert_weights,
            d_input, d_weights,
            # k, sorted_expert_idxs, sorted_scattered_idxs, expert_offsets,
            None, None, None, None, 
            # bias, gates
            d_biases, d_gates,
            # grouped_in, grouped_out,
            None, None
        )

def parallel_linear(inputs, expert_weights, k,
                    sorted_expert_idxs, sorted_scattered_idxs,
                    expert_offsets,
                    expert_biases=None,
                    gates=None, grouped_in=False, grouped_out=False):
    results = ParallelLinear.apply(inputs, expert_weights, k,
                                   sorted_expert_idxs, sorted_scattered_idxs,
                                   expert_offsets,
                                   expert_biases,
                                   gates, grouped_in, grouped_out)
    return results

class ParallelExperts(nn.Module):
    def __init__(self, num_experts, input_size, output_size, bias=False) -> None:
        super().__init__()
        self.weight = nn.Parameter(torch.empty(num_experts, output_size, input_size))

        if bias:
            self.bias = nn.Parameter(torch.empty(num_experts, output_size))
        else:
            self.bias = None

        self.num_experts = num_experts
        self.input_size = input_size
        self.output_size = output_size
        self.reset_parameters()

    def extra_repr(self):
        return 'num_experts={}, input_size={}, output_size={}'.format(
            self.num_experts, self.input_size, self.output_size)

    def reset_parameters(self) -> None:
        nn.init.normal_(self.weight, std=0.02)
        if self.bias is not None:
            nn.init.zeros_(self.bias)

    def forward(self, inputs, k, sorted_expert_idxs, sorted_scattered_idxs,
                expert_offsets,
                gates=None, grouped_in=False, grouped_out=False):

        results = parallel_linear(
            inputs, self.weight.permute(0, 2, 1), k,
            sorted_expert_idxs, sorted_scattered_idxs, expert_offsets,
            expert_biases=self.bias,
            gates=gates, grouped_in=grouped_in, grouped_out=grouped_out
        )
        return results