# Copyright © 2024 Apple Inc. import math from functools import lru_cache from typing import Callable, Optional, Union import mlx.core as mx from mlx.nn.layers.base import Module from mlx.nn.layers.linear import Linear from mlx.nn.layers.quantized import QuantizedLinear from mlx.utils import tree_map_with_path @lru_cache def sum_gradients(group): if group.size() == 1: return lambda x: x @mx.custom_function def f(x): return x @f.vjp def f(x, dx, _): return mx.distributed.all_sum(dx, group=group) return f def _split(weight, segments, axis): """Equivalent to mx.split but allows for fractional segments.""" if isinstance(segments, int) or isinstance(segments[0], int): return mx.split(weight, segments, axis=axis) N = weight.shape[axis] indices = [int(s * N) for s in segments] return mx.split(weight, indices, axis=axis) def _shard( parameters: dict, sharding_predicate: Callable, group: Optional[mx.distributed.Group] = None, ): """Returns a new parameter tree with the weights sharded according to the sharding_predicate. The sharding predicate should return the sharding axis and optionally also the segments that comprise the weight. """ group = group or mx.distributed.init() N = group.size() r = group.rank() def _shard_fn(path, weight): if not isinstance(weight, mx.array): return weight s = sharding_predicate(path, weight) if s is None: return weight axis = None segments = 1 if isinstance(s, int): axis = s elif isinstance(s, tuple): axis, segments = s else: raise ValueError( "The sharding function should return int or tuple[int, list]" ) return mx.contiguous( mx.concatenate( [_split(part, N, axis)[r] for part in _split(weight, segments, axis)], axis=axis, ) ) return tree_map_with_path(_shard_fn, parameters) def _all_to_sharded(segments): """Simple predicate to shard fully connected layers such that a common representation becomes a sharded representation.""" def _shard_fn(path, weight): if path.endswith("bias"): return -1, segments return max(weight.ndim - 2, 0), segments return _shard_fn def _sharded_to_all(segments): """Simple predicate to shard fully connected layers such that a sharded representation becomes a common representation.""" def _shard_fn(path, weight): if path.endswith("bias"): return None return -1, segments return _shard_fn def _check_sharding(sharding): if sharding not in ("all-to-sharded", "sharded-to-all"): raise ValueError( ( f"Sharding type {sharding=} not supported, " "choose one of 'all-to-sharded' or 'sharded-to-all'" ) ) def shard_inplace( module: Module, sharding: Union[str, Callable], *, segments: Union[int, list] = 1, group: Optional[mx.distributed.Group] = None, ): """Shard a module in-place by updating its parameter dictionary with the sharded parameter dictionary. The ``sharding`` argument can be any callable that given the path and the weight returns the sharding axis and optionally also the segments that comprise the unsharded weight. For instance if the weight is a fused QKV matrix the segments should be 3. .. note:: The module doesn't change so in order for distributed communication to happen the module needs to natively support it and for it to be enabled. Args: module (mlx.nn.Module): The parameters of this module will be sharded in-place. sharding (str or callable): One of "all-to-sharded" and "sharded-to-all" or a callable that returns the sharding axis and segments. segments (int or list): The segments to use if ``sharding`` is a string. Default: ``1``. group (mlx.core.distributed.Group): The distributed group to shard across. If not set, the global group will be used. Default: ``None``. """ if isinstance(sharding, str): _check_sharding(sharding) sharding = ( _all_to_sharded(segments) if sharding == "all-to-sharded" else _sharded_to_all(segments) ) module.update(_shard(module.parameters(), sharding, group)) def shard_linear( module: Module, sharding: str, *, segments: Union[int, list] = 1, group: Optional[mx.distributed.Group] = None, ): """Create a new linear layer that has its parameters sharded and also performs distributed communication either in the forward or backward pass. .. note:: Contrary to ``shard_inplace``, the original layer is not changed but a new layer is returned. Args: module (mlx.nn.Module): The linear layer to be sharded. sharding (str): One of "all-to-sharded" and "sharded-to-all" that defines the type of sharding to perform. segments (int or list): The segments to use. Default: ``1``. group (mlx.core.distributed.Group): The distributed group to shard across. If not set, the global group will be used. Default: ``None``. """ _check_sharding(sharding) fns = { ("all-to-sharded", True): AllToShardedLinear.from_linear, ("all-to-sharded", False): QuantizedAllToShardedLinear.from_quantized_linear, ("sharded-to-all", True): ShardedToAllLinear.from_linear, ("sharded-to-all", False): QuantizedShardedToAllLinear.from_quantized_linear, } return fns[sharding, isinstance(module, Linear)]( module, segments=segments, group=group ) class AllToShardedLinear(Module): """Each member of the group applies part of the affine transformation such that the result is sharded across the group. The gradients are automatically aggregated from each member of the group. Args: input_dims (int): The dimensionality of the input features output_dims (int): The dimensionality of the output features bias (bool, optional): If set to ``False`` the the layer will not use a bias. Default is ``True``. group (mx.distributed.Group, optional): The sharding will happen across this group. If not set then the global group is used. Default is ``None``. """ def __init__( self, input_dims: int, output_dims: int, bias: bool = True, group: Optional[mx.distributed.Group] = None, ): super().__init__() # Initialize the parameters scale = math.sqrt(1.0 / input_dims) self.group = group or mx.distributed.init() N = self.group.size() if (output_dims % N) != 0: raise ValueError( f"Cannot shard the output of size {output_dims} across {N} devices." ) self.weight = mx.random.uniform( low=-scale, high=scale, shape=(output_dims // N, input_dims), ) if bias: self.bias = mx.random.uniform( low=-scale, high=scale, shape=(output_dims // N,), ) def _extra_repr(self) -> str: out_dims, in_dims = self.weight.shape N = self.group.size() out_dims *= N return f"input_dims={in_dims}, output_dims={out_dims}, bias={'bias' in self}" def __call__(self, x: mx.array) -> mx.array: # Aggregate the gradients coming from each shard x = sum_gradients(self.group)(x) # Compute the affine projection if "bias" in self: x = mx.addmm(self["bias"], x, self["weight"].T) else: x = x @ self["weight"].T return x @classmethod def from_linear( cls, linear_layer: Module, *, segments: Union[int, list] = 1, group: Optional[mx.distributed.Group] = None, ): group = group or mx.distributed.init() output_dims, input_dims = linear_layer.weight.shape sl = cls(input_dims, output_dims, hasattr(linear_layer, "bias"), group) sl.update(_shard(linear_layer.parameters(), _all_to_sharded(segments), group)) return sl class ShardedToAllLinear(Module): """Each member of the group applies part of the affine transformation and then aggregates the results. All nodes will have the same exact result after this layer. :class:`ShardedToAllLinear` provides a classmethod :meth:`from_linear` to convert linear layers to sharded :obj:`ShardedToAllLinear` layers. Args: input_dims (int): The dimensionality of the input features output_dims (int): The dimensionality of the output features bias (bool, optional): If set to ``False`` the the layer will not use a bias. Default is ``True``. group (mx.distributed.Group, optional): The sharding will happen across this group. If not set then the global group is used. Default is ``None``. """ def __init__( self, input_dims: int, output_dims: int, bias: bool = True, group: Optional[mx.distributed.Group] = None, ): super().__init__() # Initialize the parameters scale = math.sqrt(1.0 / input_dims) self.group = group or mx.distributed.init() N = self.group.size() if (input_dims % N) != 0: raise ValueError( f"The input of size {input_dims} cannot be sharded across {N} devices." ) self.weight = mx.random.uniform( low=-scale, high=scale, shape=(output_dims, input_dims // N), ) if bias: self.bias = mx.random.uniform( low=-scale, high=scale, shape=(output_dims,), ) def _extra_repr(self) -> str: N = self.group.size() out_dims, in_dims = self.weight.shape in_dims *= N return f"input_dims={in_dims}, output_dims={out_dims}, bias={'bias' in self}" def __call__(self, x: mx.array) -> mx.array: x = x @ self["weight"].T x = mx.distributed.all_sum(x, group=self.group) if "bias" in self: x = x + self["bias"] return x @classmethod def from_linear( cls, linear_layer: Module, *, segments: Union[int, list] = 1, group: Optional[mx.distributed.Group] = None, ): group = group or mx.distributed.init() output_dims, input_dims = linear_layer.weight.shape sl = cls(input_dims, output_dims, hasattr(linear_layer, "bias"), group) sl.update(_shard(linear_layer.parameters(), _sharded_to_all(segments), group)) return sl class QuantizedAllToShardedLinear(Module): """Each member of the group applies part of the affine transformation with a quantized matrix such that the result is sharded across the group. It is the quantized equivalent of :class:`mlx.nn.AllToShardedLinear`. Similar to :class:`mlx.nn.QuantizedLinear` its parameters are frozen and will not be included in any gradient computation. Args: input_dims (int): The dimensionality of the input features. output_dims (int): The dimensionality of the output features. bias (bool, optional): If set to ``False`` then the layer will not use a bias. Default: ``True``. group_size (int, optional): The group size to use for the quantized weight. See :func:`~mlx.core.quantize`. Default: ``64``. bits (int, optional): The bit width to use for the quantized weight. See :func:`~mlx.core.quantize`. Default: ``4``. mode (str, optional): The quantization method to use (see :func:`~mlx.core.quantize`). Default: ``"affine"``. group (mx.distributed.Group, optional): The sharding will happen across this group. If not set then the global group is used. Default is ``None``. """ def __init__( self, input_dims: int, output_dims: int, bias: bool = True, group_size: int = 64, bits: int = 4, mode: str = "affine", group: Optional[mx.distributed.Group] = None, ): super().__init__() # Quantization config self.group_size = group_size self.bits = bits self.mode = mode # Initialize the quantized weight scale = math.sqrt(1.0 / input_dims) self.group = group or mx.distributed.init() N = self.group.size() if (output_dims % N) != 0: raise ValueError( f"Cannot shard the output of size {output_dims} across {N} devices." ) weight = mx.random.uniform( low=-scale, high=scale, shape=(output_dims // N, input_dims), ) self.weight, self.scales, *biases = mx.quantize( weight, group_size, bits, mode=mode ) self.biases = biases[0] if biases else None # And bias if needed if bias: self.bias = mx.zeros((output_dims // N,)) # Freeze this model's parameters self.freeze() def unfreeze(self, *args, **kwargs): """Wrap unfreeze so that we unfreeze any layers we might contain but our parameters will remain frozen.""" super().unfreeze(*args, **kwargs) self.freeze(recurse=False) def _extra_repr(self) -> str: out_dims, in_dims = self.weight.shape in_dims = (in_dims * 32) // self.bits out_dims *= self.group.size() return ( f"input_dims={in_dims}, output_dims={out_dims}, bias={'bias' in self}, " f"group_size={self.group_size}, bits={self.bits}, mode={self.mode}" ) def __call__(self, x: mx.array) -> mx.array: # Aggregate the gradients coming from each shard x = sum_gradients(self.group)(x) x = mx.quantized_matmul( x, self["weight"], scales=self["scales"], biases=self.get("biases"), transpose=True, group_size=self.group_size, bits=self.bits, mode=self.mode, ) if "bias" in self: x = x + self["bias"] return x @classmethod def from_quantized_linear( cls, quantized_linear_layer: Module, *, segments: Union[int, list] = 1, group: Optional[mx.distributed.Group] = None, ): group = group or mx.distributed.init() output_dims, input_dims = quantized_linear_layer.weight.shape input_dims = (input_dims * 32) // quantized_linear_layer.bits sl = cls( input_dims, output_dims, hasattr(quantized_linear_layer, "bias"), group_size=quantized_linear_layer.group_size, bits=quantized_linear_layer.bits, mode=getattr(quantized_linear_layer, "mode", "affine"), group=group, ) sl.update( _shard( quantized_linear_layer.parameters(), _all_to_sharded(segments), group, ) ) return sl class QuantizedShardedToAllLinear(Module): """Each member of the group applies part of the affine transformation using the quantized matrix and then aggregates the results. All nodes will have the same exact result after this layer. It is the quantized equivalent of :class:`mlx.nn.ShardedToAllLinear`. Similar to :class:`mlx.nn.QuantizedLinear` its parameters are frozen and will not be included in any gradient computation. Args: input_dims (int): The dimensionality of the input features. output_dims (int): The dimensionality of the output features. bias (bool, optional): If set to ``False`` then the layer will not use a bias. Default: ``True``. group_size (int, optional): The group size to use for the quantized weight. See :func:`~mlx.core.quantize`. Default: ``64``. bits (int, optional): The bit width to use for the quantized weight. See :func:`~mlx.core.quantize`. Default: ``4``. mode (str, optional): The quantization method to use (see :func:`~mlx.core.quantize`). Default: ``"affine"``. group (mx.distributed.Group, optional): The sharding will happen across this group. If not set then the global group is used. Default is ``None``. """ def __init__( self, input_dims: int, output_dims: int, bias: bool = True, group_size: int = 64, bits: int = 4, mode: str = "affine", group: Optional[mx.distributed.Group] = None, ): super().__init__() # Quantization config self.group_size = group_size self.bits = bits self.mode = mode # Initialize the quantized weight scale = math.sqrt(1.0 / input_dims) self.group = group or mx.distributed.init() N = self.group.size() if (input_dims % N) != 0: raise ValueError( f"The input of size {input_dims} cannot be sharded across {N} devices." ) weight = mx.random.uniform( low=-scale, high=scale, shape=(output_dims, input_dims // N), ) self.weight, self.scales, *biases = mx.quantize( weight, group_size, bits, mode=mode ) self.biases = biases[0] if biases else None # And bias if needed if bias: self.bias = mx.zeros((output_dims,)) # Freeze this model's parameters self.freeze() def unfreeze(self, *args, **kwargs): """Wrap unfreeze so that we unfreeze any layers we might contain but our parameters will remain frozen.""" super().unfreeze(*args, **kwargs) self.freeze(recurse=False) def _extra_repr(self) -> str: out_dims, in_dims = self.weight.shape in_dims = (in_dims * 32) // self.bits * self.group.size() return ( f"input_dims={in_dims}, output_dims={out_dims}, bias={'bias' in self}, " f"group_size={self.group_size}, bits={self.bits}, mode={self.mode}" ) def __call__(self, x: mx.array) -> mx.array: x = mx.quantized_matmul( x, self["weight"], scales=self["scales"], biases=self.get("biases"), transpose=True, group_size=self.group_size, bits=self.bits, mode=self.mode, ) x = mx.distributed.all_sum(x, group=self.group) if "bias" in self: x = x + self["bias"] return x @classmethod def from_quantized_linear( cls, quantized_linear_layer: Module, *, segments: Union[int, list] = 1, group: Optional[mx.distributed.Group] = None, ): group = group or mx.distributed.init() output_dims, input_dims = quantized_linear_layer.weight.shape input_dims = (input_dims * 32) // quantized_linear_layer.bits sl = cls( input_dims, output_dims, hasattr(quantized_linear_layer, "bias"), group_size=quantized_linear_layer.group_size, bits=quantized_linear_layer.bits, mode=getattr(quantized_linear_layer, "mode", "affine"), group=group, ) sl.update( _shard( quantized_linear_layer.parameters(), _sharded_to_all(segments), group, ) ) return sl