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2023-02-19 08:33:09 +08:00

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