File: test_batch.py

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import os.path as osp

import numpy as np
import pytest
import torch

import torch_geometric
from torch_geometric import EdgeIndex, Index
from torch_geometric.data import Batch, Data, HeteroData
from torch_geometric.testing import get_random_edge_index, withPackage
from torch_geometric.typing import SparseTensor
from torch_geometric.utils import to_edge_index, to_torch_sparse_tensor


def test_batch_basic():
    torch_geometric.set_debug(True)

    x = torch.tensor([1.0, 2.0, 3.0])
    edge_index = torch.tensor([[0, 1, 1, 2], [1, 0, 2, 1]])
    data1 = Data(x=x, y=1, edge_index=edge_index, string='1', array=['1', '2'],
                 num_nodes=3)

    x = torch.tensor([1.0, 2.0])
    edge_index = torch.tensor([[0, 1], [1, 0]])
    data2 = Data(x=x, y=2, edge_index=edge_index, string='2',
                 array=['3', '4', '5'], num_nodes=2)

    x = torch.tensor([1.0, 2.0, 3.0, 4.0])
    edge_index = torch.tensor([[0, 1, 1, 2, 2, 3], [1, 0, 2, 1, 3, 2]])
    data3 = Data(x=x, y=3, edge_index=edge_index, string='3',
                 array=['6', '7', '8', '9'], num_nodes=4)

    batch = Batch.from_data_list([data1])
    assert str(batch) == ('DataBatch(x=[3], edge_index=[2, 4], y=[1], '
                          'string=[1], array=[1], num_nodes=3, batch=[3], '
                          'ptr=[2])')
    assert batch.num_graphs == len(batch) == 1
    assert batch.x.tolist() == [1, 2, 3]
    assert batch.y.tolist() == [1]
    assert batch.edge_index.tolist() == [[0, 1, 1, 2], [1, 0, 2, 1]]
    assert batch.string == ['1']
    assert batch.array == [['1', '2']]
    assert batch.num_nodes == 3
    assert batch.batch.tolist() == [0, 0, 0]
    assert batch.ptr.tolist() == [0, 3]

    batch = Batch.from_data_list([data1, data2, data3],
                                 follow_batch=['string'])

    assert str(batch) == ('DataBatch(x=[9], edge_index=[2, 12], y=[3], '
                          'string=[3], string_batch=[3], string_ptr=[4], '
                          'array=[3], num_nodes=9, batch=[9], ptr=[4])')
    assert batch.num_graphs == len(batch) == 3
    assert batch.x.tolist() == [1, 2, 3, 1, 2, 1, 2, 3, 4]
    assert batch.y.tolist() == [1, 2, 3]
    assert batch.edge_index.tolist() == [[0, 1, 1, 2, 3, 4, 5, 6, 6, 7, 7, 8],
                                         [1, 0, 2, 1, 4, 3, 6, 5, 7, 6, 8, 7]]
    assert batch.string == ['1', '2', '3']
    assert batch.string_batch.tolist() == [0, 1, 2]
    assert batch.string_ptr.tolist() == [0, 1, 2, 3]
    assert batch.array == [['1', '2'], ['3', '4', '5'], ['6', '7', '8', '9']]
    assert batch.num_nodes == 9
    assert batch.batch.tolist() == [0, 0, 0, 1, 1, 2, 2, 2, 2]
    assert batch.ptr.tolist() == [0, 3, 5, 9]

    assert str(batch[0]) == ("Data(x=[3], edge_index=[2, 4], y=[1], "
                             "string='1', array=[2], num_nodes=3)")
    assert str(batch[1]) == ("Data(x=[2], edge_index=[2, 2], y=[1], "
                             "string='2', array=[3], num_nodes=2)")
    assert str(batch[2]) == ("Data(x=[4], edge_index=[2, 6], y=[1], "
                             "string='3', array=[4], num_nodes=4)")

    assert len(batch.index_select([1, 0])) == 2
    assert len(batch.index_select(torch.tensor([1, 0]))) == 2
    assert len(batch.index_select(torch.tensor([True, False]))) == 1
    assert len(batch.index_select(np.array([1, 0], dtype=np.int64))) == 2
    assert len(batch.index_select(np.array([True, False]))) == 1
    assert len(batch[:2]) == 2

    data_list = batch.to_data_list()
    assert len(data_list) == 3

    assert len(data_list[0]) == 6
    assert data_list[0].x.tolist() == [1, 2, 3]
    assert data_list[0].y.tolist() == [1]
    assert data_list[0].edge_index.tolist() == [[0, 1, 1, 2], [1, 0, 2, 1]]
    assert data_list[0].string == '1'
    assert data_list[0].array == ['1', '2']
    assert data_list[0].num_nodes == 3

    assert len(data_list[1]) == 6
    assert data_list[1].x.tolist() == [1, 2]
    assert data_list[1].y.tolist() == [2]
    assert data_list[1].edge_index.tolist() == [[0, 1], [1, 0]]
    assert data_list[1].string == '2'
    assert data_list[1].array == ['3', '4', '5']
    assert data_list[1].num_nodes == 2

    assert len(data_list[2]) == 6
    assert data_list[2].x.tolist() == [1, 2, 3, 4]
    assert data_list[2].y.tolist() == [3]
    assert data_list[2].edge_index.tolist() == [[0, 1, 1, 2, 2, 3],
                                                [1, 0, 2, 1, 3, 2]]
    assert data_list[2].string == '3'
    assert data_list[2].array == ['6', '7', '8', '9']
    assert data_list[2].num_nodes == 4

    torch_geometric.set_debug(True)


def test_index():
    index1 = Index([0, 1, 1, 2], dim_size=3, is_sorted=True)
    index2 = Index([0, 1, 1, 2, 2, 3], dim_size=4, is_sorted=True)

    data1 = Data(index=index1, num_nodes=3)
    data2 = Data(index=index2, num_nodes=4)

    batch = Batch.from_data_list([data1, data2])

    assert len(batch) == 2
    assert batch.batch.equal(torch.tensor([0, 0, 0, 1, 1, 1, 1]))
    assert batch.ptr.equal(torch.tensor([0, 3, 7]))
    assert isinstance(batch.index, Index)
    assert batch.index.equal(torch.tensor([0, 1, 1, 2, 3, 4, 4, 5, 5, 6]))
    assert batch.index.dim_size == 7
    assert batch.index.is_sorted

    for i, index in enumerate([index1, index2]):
        data = batch[i]
        assert isinstance(data.index, Index)
        assert data.index.equal(index)
        assert data.index.dim_size == index.dim_size
        assert data.index.is_sorted == index.is_sorted


def test_edge_index():
    edge_index1 = EdgeIndex(
        [[0, 1, 1, 2], [1, 0, 2, 1]],
        sparse_size=(3, 3),
        sort_order='row',
        is_undirected=True,
    )
    edge_index2 = EdgeIndex(
        [[1, 0, 2, 1, 3, 2], [0, 1, 1, 2, 2, 3]],
        sparse_size=(4, 4),
        sort_order='col',
    )

    data1 = Data(edge_index=edge_index1)
    data2 = Data(edge_index=edge_index2)

    batch = Batch.from_data_list([data1, data2])

    assert len(batch) == 2
    assert batch.batch.equal(torch.tensor([0, 0, 0, 1, 1, 1, 1]))
    assert batch.ptr.equal(torch.tensor([0, 3, 7]))
    assert isinstance(batch.edge_index, EdgeIndex)
    assert batch.edge_index.equal(
        torch.tensor([
            [0, 1, 1, 2, 4, 3, 5, 4, 6, 5],
            [1, 0, 2, 1, 3, 4, 4, 5, 5, 6],
        ]))
    assert batch.edge_index.sparse_size() == (7, 7)
    assert batch.edge_index.sort_order is None
    assert not batch.edge_index.is_undirected

    for i, edge_index in enumerate([edge_index1, edge_index2]):
        data = batch[i]
        assert isinstance(data.edge_index, EdgeIndex)
        assert data.edge_index.equal(edge_index)
        assert data.edge_index.sparse_size() == edge_index.sparse_size()
        assert data.edge_index.sort_order == edge_index.sort_order
        assert data.edge_index.is_undirected == edge_index.is_undirected


@withPackage('torch_sparse')
def test_batch_with_sparse_tensor():
    x = SparseTensor.from_dense(torch.tensor([[1.0], [2.0], [3.0]]))
    edge_index = torch.tensor([[0, 1, 1, 2], [1, 0, 2, 1]])
    adj = SparseTensor.from_edge_index(edge_index)
    data1 = Data(x=x, adj=adj)

    x = SparseTensor.from_dense(torch.tensor([[1.0], [2.0]]))
    edge_index = torch.tensor([[0, 1], [1, 0]])
    adj = SparseTensor.from_edge_index(edge_index)
    data2 = Data(x=x, adj=adj)

    x = SparseTensor.from_dense(torch.tensor([[1.0], [2.0], [3.0], [4.0]]))
    edge_index = torch.tensor([[0, 1, 1, 2, 2, 3], [1, 0, 2, 1, 3, 2]])
    adj = SparseTensor.from_edge_index(edge_index)
    data3 = Data(x=x, adj=adj)

    batch = Batch.from_data_list([data1])
    assert str(batch) == ('DataBatch(x=[3, 1, nnz=3], adj=[3, 3, nnz=4], '
                          'batch=[3], ptr=[2])')
    assert batch.num_graphs == len(batch) == 1
    assert batch.x.to_dense().tolist() == [[1], [2], [3]]
    assert batch.adj.coo()[0].tolist() == [0, 1, 1, 2]
    assert batch.adj.coo()[1].tolist() == [1, 0, 2, 1]
    assert batch.batch.tolist() == [0, 0, 0]
    assert batch.ptr.tolist() == [0, 3]

    batch = Batch.from_data_list([data1, data2, data3])

    assert str(batch) == ('DataBatch(x=[9, 1, nnz=9], adj=[9, 9, nnz=12], '
                          'batch=[9], ptr=[4])')
    assert batch.num_graphs == len(batch) == 3
    assert batch.x.to_dense().view(-1).tolist() == [1, 2, 3, 1, 2, 1, 2, 3, 4]
    assert batch.adj.coo()[0].tolist() == [0, 1, 1, 2, 3, 4, 5, 6, 6, 7, 7, 8]
    assert batch.adj.coo()[1].tolist() == [1, 0, 2, 1, 4, 3, 6, 5, 7, 6, 8, 7]
    assert batch.batch.tolist() == [0, 0, 0, 1, 1, 2, 2, 2, 2]
    assert batch.ptr.tolist() == [0, 3, 5, 9]

    assert str(batch[0]) == ("Data(x=[3, 1, nnz=3], adj=[3, 3, nnz=4])")
    assert str(batch[1]) == ("Data(x=[2, 1, nnz=2], adj=[2, 2, nnz=2])")
    assert str(batch[2]) == ("Data(x=[4, 1, nnz=4], adj=[4, 4, nnz=6])")

    data_list = batch.to_data_list()
    assert len(data_list) == 3

    assert len(data_list[0]) == 2
    assert data_list[0].x.to_dense().tolist() == [[1], [2], [3]]
    assert data_list[0].adj.coo()[0].tolist() == [0, 1, 1, 2]
    assert data_list[0].adj.coo()[1].tolist() == [1, 0, 2, 1]

    assert len(data_list[1]) == 2
    assert data_list[1].x.to_dense().tolist() == [[1], [2]]
    assert data_list[1].adj.coo()[0].tolist() == [0, 1]
    assert data_list[1].adj.coo()[1].tolist() == [1, 0]

    assert len(data_list[2]) == 2
    assert data_list[2].x.to_dense().tolist() == [[1], [2], [3], [4]]
    assert data_list[2].adj.coo()[0].tolist() == [0, 1, 1, 2, 2, 3]
    assert data_list[2].adj.coo()[1].tolist() == [1, 0, 2, 1, 3, 2]


def test_batch_with_torch_coo_tensor():
    x = torch.tensor([[1.0], [2.0], [3.0]]).to_sparse_coo()
    data1 = Data(x=x)

    x = torch.tensor([[1.0], [2.0]]).to_sparse_coo()
    data2 = Data(x=x)

    x = torch.tensor([[1.0], [2.0], [3.0], [4.0]]).to_sparse_coo()
    data3 = Data(x=x)

    batch = Batch.from_data_list([data1])
    assert str(batch) == ('DataBatch(x=[3, 1], batch=[3], ptr=[2])')
    assert batch.num_graphs == len(batch) == 1
    assert batch.x.to_dense().tolist() == [[1], [2], [3]]
    assert batch.batch.tolist() == [0, 0, 0]
    assert batch.ptr.tolist() == [0, 3]

    batch = Batch.from_data_list([data1, data2, data3])

    assert str(batch) == ('DataBatch(x=[9, 1], batch=[9], ptr=[4])')
    assert batch.num_graphs == len(batch) == 3
    assert batch.x.to_dense().view(-1).tolist() == [1, 2, 3, 1, 2, 1, 2, 3, 4]
    assert batch.batch.tolist() == [0, 0, 0, 1, 1, 2, 2, 2, 2]
    assert batch.ptr.tolist() == [0, 3, 5, 9]

    assert str(batch[0]) == ("Data(x=[3, 1])")
    assert str(batch[1]) == ("Data(x=[2, 1])")
    assert str(batch[2]) == ("Data(x=[4, 1])")

    data_list = batch.to_data_list()
    assert len(data_list) == 3

    assert len(data_list[0]) == 1
    assert data_list[0].x.to_dense().tolist() == [[1], [2], [3]]

    assert len(data_list[1]) == 1
    assert data_list[1].x.to_dense().tolist() == [[1], [2]]

    assert len(data_list[2]) == 1
    assert data_list[2].x.to_dense().tolist() == [[1], [2], [3], [4]]


def test_batching_with_new_dimension():
    torch_geometric.set_debug(True)

    class MyData(Data):
        def __cat_dim__(self, key, value, *args, **kwargs):
            if key == 'foo':
                return None
            else:
                return super().__cat_dim__(key, value, *args, **kwargs)

    x1 = torch.tensor([1, 2, 3], dtype=torch.float)
    foo1 = torch.randn(4)
    y1 = torch.tensor(1)

    x2 = torch.tensor([1, 2], dtype=torch.float)
    foo2 = torch.randn(4)
    y2 = torch.tensor(2)

    batch = Batch.from_data_list(
        [MyData(x=x1, foo=foo1, y=y1),
         MyData(x=x2, foo=foo2, y=y2)])

    assert str(batch) == ('MyDataBatch(x=[5], y=[2], foo=[2, 4], batch=[5], '
                          'ptr=[3])')
    assert batch.num_graphs == len(batch) == 2
    assert batch.x.tolist() == [1, 2, 3, 1, 2]
    assert batch.foo.size() == (2, 4)
    assert batch.foo[0].tolist() == foo1.tolist()
    assert batch.foo[1].tolist() == foo2.tolist()
    assert batch.y.tolist() == [1, 2]
    assert batch.batch.tolist() == [0, 0, 0, 1, 1]
    assert batch.ptr.tolist() == [0, 3, 5]
    assert batch.num_graphs == 2

    data = batch[0]
    assert str(data) == ('MyData(x=[3], y=[1], foo=[4])')
    data = batch[1]
    assert str(data) == ('MyData(x=[2], y=[1], foo=[4])')

    torch_geometric.set_debug(True)


def test_pickling(tmp_path):
    data = Data(x=torch.randn(5, 16))
    batch = Batch.from_data_list([data, data, data, data])
    assert id(batch._store._parent()) == id(batch)
    assert batch.num_nodes == 20

    # filename = f'{random.randrange(sys.maxsize)}.pt'
    path = osp.join(tmp_path, 'batch.pt')
    torch.save(batch, path)
    assert id(batch._store._parent()) == id(batch)
    assert batch.num_nodes == 20

    batch = torch.load(path, weights_only=False)
    assert id(batch._store._parent()) == id(batch)
    assert batch.num_nodes == 20

    assert batch.__class__.__name__ == 'DataBatch'
    assert batch.num_graphs == len(batch) == 4


def test_recursive_batch():
    data1 = Data(
        x={
            '1': torch.randn(10, 32),
            '2': torch.randn(20, 48)
        },
        edge_index=[
            get_random_edge_index(30, 30, 50),
            get_random_edge_index(30, 30, 70)
        ],
        num_nodes=30,
    )

    data2 = Data(
        x={
            '1': torch.randn(20, 32),
            '2': torch.randn(40, 48)
        },
        edge_index=[
            get_random_edge_index(60, 60, 80),
            get_random_edge_index(60, 60, 90)
        ],
        num_nodes=60,
    )

    batch = Batch.from_data_list([data1, data2])

    assert batch.num_graphs == len(batch) == 2
    assert batch.num_nodes == 90

    assert torch.allclose(batch.x['1'],
                          torch.cat([data1.x['1'], data2.x['1']], dim=0))
    assert torch.allclose(batch.x['2'],
                          torch.cat([data1.x['2'], data2.x['2']], dim=0))
    assert (batch.edge_index[0].tolist() == torch.cat(
        [data1.edge_index[0], data2.edge_index[0] + 30], dim=1).tolist())
    assert (batch.edge_index[1].tolist() == torch.cat(
        [data1.edge_index[1], data2.edge_index[1] + 30], dim=1).tolist())
    assert batch.batch.size() == (90, )
    assert batch.ptr.size() == (3, )

    out1 = batch[0]
    assert len(out1) == 3
    assert out1.num_nodes == 30
    assert torch.allclose(out1.x['1'], data1.x['1'])
    assert torch.allclose(out1.x['2'], data1.x['2'])
    assert out1.edge_index[0].tolist(), data1.edge_index[0].tolist()
    assert out1.edge_index[1].tolist(), data1.edge_index[1].tolist()

    out2 = batch[1]
    assert len(out2) == 3
    assert out2.num_nodes == 60
    assert torch.allclose(out2.x['1'], data2.x['1'])
    assert torch.allclose(out2.x['2'], data2.x['2'])
    assert out2.edge_index[0].tolist(), data2.edge_index[0].tolist()
    assert out2.edge_index[1].tolist(), data2.edge_index[1].tolist()


def test_batching_of_batches():
    data = Data(x=torch.randn(2, 16))
    batch = Batch.from_data_list([data, data])

    batch = Batch.from_data_list([batch, batch])
    assert batch.num_graphs == len(batch) == 2
    assert batch.x[0:2].tolist() == data.x.tolist()
    assert batch.x[2:4].tolist() == data.x.tolist()
    assert batch.x[4:6].tolist() == data.x.tolist()
    assert batch.x[6:8].tolist() == data.x.tolist()
    assert batch.batch.tolist() == [0, 0, 1, 1, 2, 2, 3, 3]


def test_hetero_batch():
    e1 = ('p', 'a')
    e2 = ('a', 'p')
    data1 = HeteroData()
    data1['p'].x = torch.randn(100, 128)
    data1['a'].x = torch.randn(200, 128)
    data1[e1].edge_index = get_random_edge_index(100, 200, 500)
    data1[e1].edge_attr = torch.randn(500, 32)
    data1[e2].edge_index = get_random_edge_index(200, 100, 400)
    data1[e2].edge_attr = torch.randn(400, 32)

    data2 = HeteroData()
    data2['p'].x = torch.randn(50, 128)
    data2['a'].x = torch.randn(100, 128)
    data2[e1].edge_index = get_random_edge_index(50, 100, 300)
    data2[e1].edge_attr = torch.randn(300, 32)
    data2[e2].edge_index = get_random_edge_index(100, 50, 200)
    data2[e2].edge_attr = torch.randn(200, 32)

    batch = Batch.from_data_list([data1, data2])

    assert batch.num_graphs == len(batch) == 2
    assert batch.num_nodes == 450

    assert torch.allclose(batch['p'].x[:100], data1['p'].x)
    assert torch.allclose(batch['a'].x[:200], data1['a'].x)
    assert torch.allclose(batch['p'].x[100:], data2['p'].x)
    assert torch.allclose(batch['a'].x[200:], data2['a'].x)
    assert (batch[e1].edge_index.tolist() == torch.cat([
        data1[e1].edge_index,
        data2[e1].edge_index + torch.tensor([[100], [200]])
    ], 1).tolist())
    assert torch.allclose(
        batch[e1].edge_attr,
        torch.cat([data1[e1].edge_attr, data2[e1].edge_attr], 0))
    assert (batch[e2].edge_index.tolist() == torch.cat([
        data1[e2].edge_index,
        data2[e2].edge_index + torch.tensor([[200], [100]])
    ], 1).tolist())
    assert torch.allclose(
        batch[e2].edge_attr,
        torch.cat([data1[e2].edge_attr, data2[e2].edge_attr], 0))
    assert batch['p'].batch.size() == (150, )
    assert batch['p'].ptr.size() == (3, )
    assert batch['a'].batch.size() == (300, )
    assert batch['a'].ptr.size() == (3, )

    out1 = batch[0]
    assert len(out1) == 3
    assert out1.num_nodes == 300
    assert torch.allclose(out1['p'].x, data1['p'].x)
    assert torch.allclose(out1['a'].x, data1['a'].x)
    assert out1[e1].edge_index.tolist() == data1[e1].edge_index.tolist()
    assert torch.allclose(out1[e1].edge_attr, data1[e1].edge_attr)
    assert out1[e2].edge_index.tolist() == data1[e2].edge_index.tolist()
    assert torch.allclose(out1[e2].edge_attr, data1[e2].edge_attr)

    out2 = batch[1]
    assert len(out2) == 3
    assert out2.num_nodes == 150
    assert torch.allclose(out2['p'].x, data2['p'].x)
    assert torch.allclose(out2['a'].x, data2['a'].x)
    assert out2[e1].edge_index.tolist() == data2[e1].edge_index.tolist()
    assert torch.allclose(out2[e1].edge_attr, data2[e1].edge_attr)
    assert out2[e2].edge_index.tolist() == data2[e2].edge_index.tolist()
    assert torch.allclose(out2[e2].edge_attr, data2[e2].edge_attr)


def test_pair_data_batching():
    class PairData(Data):
        def __inc__(self, key, value, *args, **kwargs):
            if key == 'edge_index_s':
                return self.x_s.size(0)
            if key == 'edge_index_t':
                return self.x_t.size(0)
            return super().__inc__(key, value, *args, **kwargs)

    x_s = torch.randn(5, 16)
    edge_index_s = torch.tensor([
        [0, 0, 0, 0],
        [1, 2, 3, 4],
    ])
    x_t = torch.randn(4, 16)
    edge_index_t = torch.tensor([
        [0, 0, 0],
        [1, 2, 3],
    ])

    data = PairData(x_s=x_s, edge_index_s=edge_index_s, x_t=x_t,
                    edge_index_t=edge_index_t)
    batch = Batch.from_data_list([data, data])

    assert torch.allclose(batch.x_s, torch.cat([x_s, x_s], dim=0))
    assert batch.edge_index_s.tolist() == [[0, 0, 0, 0, 5, 5, 5, 5],
                                           [1, 2, 3, 4, 6, 7, 8, 9]]

    assert torch.allclose(batch.x_t, torch.cat([x_t, x_t], dim=0))
    assert batch.edge_index_t.tolist() == [[0, 0, 0, 4, 4, 4],
                                           [1, 2, 3, 5, 6, 7]]


def test_batch_with_empty_list():
    x = torch.randn(4, 1)
    edge_index = torch.tensor([[0, 1, 1, 2, 2, 3], [1, 0, 2, 1, 3, 2]])
    data = Data(x=x, edge_index=edge_index, nontensor=[])

    batch = Batch.from_data_list([data, data])
    assert batch.nontensor == [[], []]
    assert batch[0].nontensor == []
    assert batch[1].nontensor == []


def test_nested_follow_batch():
    def tr(n, m):
        return torch.rand((n, m))

    d1 = Data(xs=[tr(4, 3), tr(11, 4), tr(1, 2)], a={"aa": tr(11, 3)},
              x=tr(10, 5))
    d2 = Data(xs=[tr(5, 3), tr(14, 4), tr(3, 2)], a={"aa": tr(2, 3)},
              x=tr(11, 5))
    d3 = Data(xs=[tr(6, 3), tr(15, 4), tr(2, 2)], a={"aa": tr(4, 3)},
              x=tr(9, 5))
    d4 = Data(xs=[tr(4, 3), tr(16, 4), tr(1, 2)], a={"aa": tr(8, 3)},
              x=tr(8, 5))

    data_list = [d1, d2, d3, d4]

    batch = Batch.from_data_list(data_list, follow_batch=['xs', 'a'])

    assert batch.xs[0].shape == (19, 3)
    assert batch.xs[1].shape == (56, 4)
    assert batch.xs[2].shape == (7, 2)
    assert batch.a['aa'].shape == (25, 3)

    assert len(batch.xs_batch) == 3
    assert len(batch.a_batch) == 1

    assert batch.xs_batch[0].tolist() == \
           [0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3]
    assert batch.xs_batch[1].tolist() == \
           [0] * 11 + [1] * 14 + [2] * 15 + [3] * 16
    assert batch.xs_batch[2].tolist() == \
           [0] * 1 + [1] * 3 + [2] * 2 + [3] * 1

    assert batch.a_batch['aa'].tolist() == \
           [0] * 11 + [1] * 2 + [2] * 4 + [3] * 8


@withPackage('torch>=2.0.0')
@pytest.mark.parametrize('layout', [
    torch.sparse_coo,
    torch.sparse_csr,
    torch.sparse_csc,
])
def test_torch_sparse_batch(layout):
    x_dense = torch.randn(3, 4)
    x = x_dense.to_sparse(layout=layout)
    edge_index = torch.tensor([[0, 1, 1, 2], [1, 0, 2, 1]])
    edge_attr = torch.rand(4)
    adj = to_torch_sparse_tensor(edge_index, edge_attr, layout=layout)

    data = Data(x=x, adj=adj)

    batch = Batch.from_data_list([data, data])

    assert batch.x.size() == (6, 4)
    assert batch.x.layout in {torch.sparse_coo, torch.sparse_csr}
    assert torch.equal(batch.x.to_dense(), torch.cat([x_dense, x_dense], 0))

    assert batch.adj.size() == (6, 6)
    assert batch.adj.layout == layout
    out = to_edge_index(batch.adj.to_sparse(layout=torch.sparse_csr))
    assert torch.equal(out[0], torch.cat([edge_index, edge_index + 3], 1))
    assert torch.equal(out[1], torch.cat([edge_attr, edge_attr], 0))


def test_torch_nested_batch():
    from torch.nested import nested_tensor

    class MyData(Data):
        def __inc__(self, key, value, *args, **kwargs) -> int:
            return 2

    x1 = nested_tensor([torch.randn(3), torch.randn(4)])
    data1 = MyData(x=x1)
    assert str(data1) == 'MyData(x=[2, 4])'

    x2 = nested_tensor([torch.randn(3), torch.randn(4), torch.randn(5)])
    data2 = MyData(x=x2)
    assert str(data2) == 'MyData(x=[3, 5])'

    batch = Batch.from_data_list([data1, data2])
    assert str(batch) == 'MyDataBatch(x=[5, 5], batch=[5], ptr=[3])'

    expected = nested_tensor(list(x1.unbind() + (x2 + 2).unbind()))
    assert torch.equal(
        batch.x.to_padded_tensor(0.0),
        expected.to_padded_tensor(0.0),
    )