[autoparallel] added all non-bcast matmul strategies (#1603)

colossalai/auto_parallel/solver/op_handler/dot_handler.py

@@ -13,9 +13,238 @@ from typing import List
 __all__ = ['DotHandler']
 
 
+class DotProductStrategyGenerator(StrategyGenerator):
+    """
+    DotProductStrategyGenerator is used to generate the sharding strategies for two 1D tensors in dot product computation.
+    This is created for torch.matmul where two tensors are 1D tensors. As torch.matmul does not include a bias argument, so we
+    do not consider bias here.
+    """
+
+    def validate(self, input, other):
+        assert input.dim() == 1 and other.dim() == 1
+
+    def no_split(self):
+        name = f'R = R dot R'
+        dim_partition_dict = {"input": {}, "other": {}, "output": {}}
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
+
+    def split_one_dim(self, mesh_dim):
+        name = f'S{mesh_dim} = S{mesh_dim} dot S{mesh_dim}'
+        dim_partition_dict = {"input": {0: [mesh_dim]}, "other": {0: [mesh_dim]}, "output": {}}
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict, all_reduce_axis=[mesh_dim])
+
+    def generate(self) -> List[IntermediateStrategy]:
+        strategy_list = []
+
+        # do not split dimensions for dot product
+        # R = R dot R
+        strategy_list.append(self.no_split())
+
+        # split two tensors in the same dimensions
+        # S = S dot S
+        strategy_list.append(self.split_one_dim(0))
+        strategy_list.append(self.split_one_dim(1))
+
+        return strategy_list
+
+
+class MatVecStrategyGenerator(StrategyGenerator):
+
+    def validate(self, input, other) -> bool:
+        assert input.dim() > 1 and other.dim() == 1
+
+    def no_split(self):
+        name = "R = R x R"
+        dim_partition_dict = {"input": {}, "other": {}, "output": {}}
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
+
+    def split_input_batch(self, mesh_dim):
+        name = f'S{mesh_dim}R = S{mesh_dim}R x R'
+        dim_partition_dict = {"input": {0: [mesh_dim]}, "other": {}, "output": {0: [mesh_dim]}}
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
+
+    def generate(self) -> List[IntermediateStrategy]:
+        strategy_list = []
+
+        # no split
+        strategy_list.append(self.no_split())
+
+        # split the batch dim for the first tensor only
+        strategy_list.append(self.split_input_batch(0))
+        strategy_list.append(self.split_input_batch(1))
+
+        return strategy_list
+
+
 class MatMulStrategyGenerator(StrategyGenerator):
-    # TODO: to be implmented
-    pass
+    """
+    MatMulStrategyGenerator is used to generate the sharding strategies when the second tensor is 
+    a 2D tensor. This is used for nn.Linear, F.linear, torch.matmul and torch.addmm.
+
+    A matmul can be formulated as [n, p] x [p, q] = [n, q]
+
+    Args:
+        is_linear (bool): whether this generator is used for nn.Linear and F.linear. 
+            This will incur extra transformation of the dim partitioning as the weight is transposed.
+    """
+
+    def __init__(self, is_linear: bool, *args, **kwargs):
+        super().__init__(*args, **kwargs)
+        self.is_linear = is_linear
+
+        # as the weight for the linear module is transposed, we can compute
+        # the correponding dimension indexfor convenience
+        if is_linear:
+            self.dim_q = 0
+            self.dim_p = 1
+        else:
+            self.dim_q = 1
+            self.dim_p = 0
+
+    def validate(self, input, other, bias) -> bool:
+        # make sure the second tensor is a 2D tensor
+        assert input.dim() > 0 and other.dim() == 2
+
+        # make sure bias is of the same dimension
+        if self.is_linear:
+            assert bias is None or bias.shape[-1] == other.shape[0]
+        else:
+            assert bias is None or bias.shape[-1] == other.shape[1]
+
+    def split_lhs_space_rhs_space(self, mesh_dim_0, mesh_dim_1):
+        # handle case SS = SR x RS
+        name = f'S{mesh_dim_0}S{mesh_dim_1} = S{mesh_dim_0}R x RS{mesh_dim_1}'
+
+        dim_partition_dict = {
+            "input": {
+                0: [mesh_dim_0]
+            },
+            "other": {
+                self.dim_q: [mesh_dim_1]
+            },
+            "bias": {
+                -1: [mesh_dim_1]
+            },
+            "output": {
+                0: [mesh_dim_0],
+                -1: [mesh_dim_1]
+            },
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
+
+    def split_lhs_space_both_contract(self, mesh_dim_0, mesh_dim_1):
+        # handle the case SR = SS x SR
+        name = f'S{mesh_dim_0}R = S{mesh_dim_0}S{mesh_dim_1} x S{mesh_dim_1}R'
+        dim_partition_dict = {
+            "input": {
+                0: [mesh_dim_0],
+                -1: [mesh_dim_1]
+            },
+            "other": {
+                self.dim_p: [mesh_dim_1]
+            },
+            "bias": {},
+            "output": {
+                0: [mesh_dim_0]
+            },
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict, all_reduce_axis=[mesh_dim_1])
+
+    def split_rhs_space_both_contract(self, mesh_dim_0, mesh_dim_1):
+        name = f'RS{mesh_dim_1} = RS{mesh_dim_0} x S{mesh_dim_0}S{mesh_dim_1}'
+        dim_partition_dict = {
+            "input": {
+                -1: [mesh_dim_0]
+            },
+            "other": {
+                self.dim_p: [mesh_dim_0],
+                self.dim_q: [mesh_dim_1]
+            },
+            "bias": {
+                -1: [mesh_dim_1]
+            },
+            "output": {
+                -1: [mesh_dim_1]
+            },
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
+
+    def recompute_split_both_contract(self, mesh_dim):
+        name = f'RR = RS{mesh_dim} x S{mesh_dim}R'
+        dim_partition_dict = {
+            "input": {
+                -1: [mesh_dim]
+            },
+            "other": {
+                self.dim_p: [mesh_dim]
+            },
+            "bias": {},
+            "output": {},
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict, all_reduce_axis=[mesh_dim])
+
+    def split_rhs_space_only(self, mesh_dim):
+        name = f'RS{mesh_dim} = RR x RS{mesh_dim}'
+        dim_partition_dict = {
+            "input": {},
+            "other": {
+                self.dim_q: [mesh_dim]
+            },
+            "bias": {
+                -1: [mesh_dim]
+            },
+            "output": {
+                -1: [mesh_dim]
+            },
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict, all_reduce_axis=[mesh_dim])
+
+    def split_lhs_1st_dim_1d(self, mesh_dim_0, mesh_dim_1):
+        name = f'S{mesh_dim_0}{mesh_dim_1}R = S{mesh_dim_0}{mesh_dim_1}R x RR'
+        dim_partition_dict = {
+            "input": {
+                0: [mesh_dim_0, mesh_dim_1]
+            },
+            "other": {},
+            "bias": {},
+            "output": {
+                0: [mesh_dim_0, mesh_dim_1]
+            },
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
+
+    def split_lhs_2nd_dim_1d(self, mesh_dim_0, mesh_dim_1):
+        name = f'RR = RS{mesh_dim_0}{mesh_dim_1} x S{mesh_dim_0}{mesh_dim_1}R'
+        dim_partition_dict = {
+            "input": {
+                -1: [mesh_dim_0, mesh_dim_1]
+            },
+            "other": {
+                self.dim_p: [mesh_dim_0, mesh_dim_1]
+            },
+            "bias": {},
+            "output": {},
+        }
+        return IntermediateStrategy(name=name,
+                                    dim_partition_dict=dim_partition_dict,
+                                    all_reduce_axis=[mesh_dim_0, mesh_dim_1])
+
+    def split_rhs_2nd_dim_1d(self, mesh_dim_0, mesh_dim_1):
+        name = f'RS{mesh_dim_0}{mesh_dim_1} = RR x RS{mesh_dim_0}{mesh_dim_1}'
+
+        dim_partition_dict = {
+            "input": {},
+            "other": {
+                self.dim_q: [mesh_dim_0, mesh_dim_1]
+            },
+            "bias": {
+                -1: [mesh_dim_0, mesh_dim_1]
+            },
+            "output": {
+                -1: [mesh_dim_0, mesh_dim_1]
+            },
+        }
+        return IntermediateStrategy(name=name, dim_partition_dict=dim_partition_dict)
 
 
 class BatchedMatMulStrategyGenerator(StrategyGenerator):
@@ -30,6 +259,15 @@ class BatchedMatMulStrategyGenerator(StrategyGenerator):
         super().__init__(*args, **kwargs)
         self.is_torch_bmm = is_torch_bmm
 
+    def validate(self, input, other, bias) -> bool:
+        if self.is_torch_bmm:
+            assert input.shape == other.shape
+            assert input.dim() > 2
+            assert other.shape[-1] == bias.shape[0]
+        else:
+            # TODO: validate these inputs are broadcastable
+            pass
+
     def split_one_batch_dim(self):
         if 1 in self.device_mesh.mesh_shape:
             mesh_dim = self.device_mesh.mesh_shape.index(1)

colossalai/auto_parallel/solver/op_handler/strategy_generator.py

@@ -32,4 +32,14 @@ class StrategyGenerator(ABC):
 
     @abstractmethod
     def generate(self) -> List[IntermediateStrategy]:
-        pass
+        """
+        """
+        pass
+
+    @abstractmethod
+    def validate(self, *args, **kwargs) -> bool:
+        """
+        Validate if the operands are of desired shape. 
+        If True, means this generator can be used for the current operation.
+        """
+        pass