179 lines
7.0 KiB
Python
179 lines
7.0 KiB
Python
"""Module for mapping between node/edge IDs and node/edge types."""
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import numpy as np
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import torch
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from .. import backend as F, utils
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from .._ffi.function import _init_api
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__all__ = ["IdMap"]
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class IdMap:
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"""A map for converting node/edge IDs to their type IDs and type-wise IDs.
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For a heterogeneous graph, DGL assigns an integer ID to each node/edge type;
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node and edge of different types have independent IDs starting from zero.
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Therefore, a node/edge can be uniquely identified by an ID pair,
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``(type_id, type_wise_id)``. To make it convenient for distributed processing,
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DGL further encodes the ID pair into one integer ID, which we refer to
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as *homogeneous ID*.
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DGL arranges nodes and edges so that all nodes of the same type have contiguous
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homogeneous IDs. If the graph is partitioned, the nodes/edges of the same type
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within a partition have contiguous homogeneous IDs.
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Below is an example adjancency matrix of an unpartitioned heterogeneous graph
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stored using the above ID assignment. Here, the graph has two types of nodes
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(``T0`` and ``T1``), and four types of edges (``R0``, ``R1``, ``R2``, ``R3``).
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There are a total of 400 nodes in the graph and each type has 200 nodes. Nodes
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of type 0 have IDs in [0,200), while nodes of type 1 have IDs in [200, 400).
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```
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0 <- T0 -> 200 <- T1 -> 400
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0 +-----------+------------+
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^ | R0 | R1 |
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T0 | | |
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v | | |
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200 +-----------+------------+
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^ | R2 | R3 |
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T1 | | |
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v | | |
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400 +-----------+------------+
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```
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Below shows the adjacency matrix after the graph is partitioned into two.
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Note that each partition still has two node types and four edge types,
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and nodes/edges of the same type have contiguous IDs.
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```
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partition 0 partition 1
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0 <- T0 -> 100 <- T1 -> 200 <- T0 -> 300 <- T1 -> 400
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0 +-----------+------------+-----------+------------+
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^ | R0 | R1 | |
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T0 | | | |
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v | | | |
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100 +-----------+------------+ |
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^ | R2 | R3 | |
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T1 | | | |
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v | | | |
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200 +-----------+------------+-----------+------------+
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^ | | R0 | R1 |
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T0 | | | |
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v | | | |
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100 | +-----------+------------+
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^ | | R2 | R3 |
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T1 | | | |
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v | | | |
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200 +-----------+------------+-----------+------------+
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```
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The following table is an alternative way to represent the above ID assignments.
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It is easy to see that the homogeneous ID range [0, 100) is used for nodes of type 0
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in partition 0, [100, 200) is used for nodes of type 1 in partition 0, and so on.
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```
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+---------+------+----------
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range | type | partition
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[0, 100) | 0 | 0
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[100,200) | 1 | 0
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[200,300) | 0 | 1
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[300,400) | 1 | 1
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```
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The goal of this class is to, given a node's homogenous ID, convert it into the
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ID pair ``(type_id, type_wise_id)``. For example, homogeneous node ID 90 is mapped
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to (0, 90); homogeneous node ID 201 is mapped to (0, 101).
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Parameters
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----------
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id_ranges : dict[str, Tensor].
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Node ID ranges within partitions for each node type. The key is the node type
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name in string. The value is a tensor of shape :math:`(K, 2)`, where :math:`K` is
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the number of partitions. Each row has two integers: the starting and the ending IDs
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for a particular node type in a partition. For example, all nodes of type ``"T"`` in
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partition ``i`` has ID range ``id_ranges["T"][i][0]`` to ``id_ranges["T"][i][1]``.
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It is the same as the `node_map` argument in `RangePartitionBook`.
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"""
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def __init__(self, id_ranges):
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id_ranges_values = list(id_ranges.values())
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assert isinstance(
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id_ranges_values[0], np.ndarray
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), "id_ranges should be a dict of numpy arrays."
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self.num_parts = id_ranges_values[0].shape[0]
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self.dtype = id_ranges_values[0].dtype
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self.dtype_str = "int32" if self.dtype == np.int32 else "int64"
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self.num_types = len(id_ranges)
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ranges = np.zeros(
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(self.num_parts * self.num_types, 2), dtype=self.dtype
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)
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typed_map = []
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id_ranges = id_ranges_values
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id_ranges.sort(key=lambda a: a[0, 0])
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for i, id_range in enumerate(id_ranges):
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ranges[i :: self.num_types] = id_range
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map1 = np.cumsum(id_range[:, 1] - id_range[:, 0], dtype=self.dtype)
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typed_map.append(map1)
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assert np.all(np.diff(ranges[:, 0]) >= 0)
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assert np.all(np.diff(ranges[:, 1]) >= 0)
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self.range_start = utils.toindex(
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np.ascontiguousarray(ranges[:, 0]), dtype=self.dtype_str
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)
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self.range_end = utils.toindex(
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np.ascontiguousarray(ranges[:, 1]) - 1, dtype=self.dtype_str
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)
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self.typed_map = utils.toindex(
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np.concatenate(typed_map), dtype=self.dtype_str
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)
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def __call__(self, ids):
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"""Convert the homogeneous IDs to (type_id, type_wise_id).
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Parameters
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----------
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ids : 1D tensor
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The homogeneous ID.
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Returns
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-------
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type_ids : Tensor
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Type IDs
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per_type_ids : Tensor
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Type-wise IDs
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"""
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if self.num_types == 0:
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return F.zeros((len(ids),), F.dtype(ids), F.cpu()), ids
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if len(ids) == 0:
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return ids, ids
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ids = utils.toindex(ids, dtype=self.dtype_str)
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ret = _CAPI_DGLHeteroMapIds(
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ids.todgltensor(),
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self.range_start.todgltensor(),
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self.range_end.todgltensor(),
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self.typed_map.todgltensor(),
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self.num_parts,
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self.num_types,
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)
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ret = utils.toindex(ret, dtype=self.dtype_str).tousertensor()
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return ret[: len(ids)], ret[len(ids) :]
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@property
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def torch_dtype(self):
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"""Return the data type of the ID map."""
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# [TODO][Rui] Use torch instead of numpy.
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return torch.int32 if self.dtype == np.int32 else torch.int64
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_init_api("dgl.distributed.id_map")
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