[test] pytest parametrize
diff --git a/tests/test_zero_data_parallel/test_init_context.py b/tests/test_zero_data_parallel/test_init_context.py
index cf038844c1d2..938aad6018b3 100644
--- a/tests/test_zero_data_parallel/test_init_context.py
+++ b/tests/test_zero_data_parallel/test_init_context.py
@@ -28,11 +28,11 @@ def run_dist(rank, world_size, port):
 
 
 @pytest.mark.dist
-def test_zero_init_context():
-    world_size = 2
+@pytest.mark.parametrize("world_size", [1, 2, 4])
+def test_zero_init_context(world_size):
     run_func = partial(run_dist, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
 
 if __name__ == '__main__':
-    test_zero_init_context()
+    test_zero_init_context(2)
diff --git a/tests/test_zero_data_parallel/test_shard_model_v2.py b/tests/test_zero_data_parallel/test_shard_model_v2.py
index 175abac10c3e..56af46e67ed6 100644
--- a/tests/test_zero_data_parallel/test_shard_model_v2.py
+++ b/tests/test_zero_data_parallel/test_shard_model_v2.py
@@ -30,12 +30,7 @@ def run_fwd_bwd(model, x, enable_autocast=False):
 
 
 def run_dist(rank, world_size, port):
-    colossalai.launch(config=CONFIG,
-                      rank=rank,
-                      world_size=world_size,
-                      host='localhost',
-                      port=port,
-                      backend='nccl')
+    colossalai.launch(config=CONFIG, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
 
     model = Net(checkpoint=True).cuda()
     zero_model = copy.deepcopy(model)
@@ -52,11 +47,11 @@ def run_dist(rank, world_size, port):
 
 
 @pytest.mark.dist
-def test_shard_model_v2():
-    world_size = 2
+@pytest.mark.parametrize("world_size", [1, 2, 4])
+def test_shard_model_v2(world_size):
     run_func = partial(run_dist, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
 
 if __name__ == '__main__':
-    test_shard_model_v2()
+    test_shard_model_v2(world_size=2)
diff --git a/tests/test_zero_data_parallel/test_shard_param.py b/tests/test_zero_data_parallel/test_shard_param.py
index 640292f31967..e324c30148be 100644
--- a/tests/test_zero_data_parallel/test_shard_param.py
+++ b/tests/test_zero_data_parallel/test_shard_param.py
@@ -4,19 +4,21 @@
 from copy import deepcopy
 from functools import partial
 
-import colossalai
-from colossalai.zero.sharded_param.sharded_param import ShardedParamV2
 import pytest
 import torch
 import torch.multiprocessing as mp
+
+import colossalai
+from colossalai.zero.sharded_param.sharded_param import ShardedParamV2
 from colossalai.zero.shard_utils import TensorShardStrategy
 from colossalai.zero.sharded_param import ShardedTensor, ShardedParam
 from colossalai.utils import free_port
 from colossalai.logging import get_dist_logger, disable_existing_loggers
+
 from tests.test_zero_data_parallel.common import Net, CONFIG, allclose
 
 
-def run_shard_tensor(rank, world_size, port):
+def _run_shard_tensor(rank, world_size, port):
     colossalai.launch(config=CONFIG, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
     t = ShardedTensor(tensor=torch.randn(world_size * 2, 3))
     assert list(t.origin_shape) == [world_size * 2, 3]
@@ -32,9 +34,9 @@ def run_shard_tensor(rank, world_size, port):
 
 
 @pytest.mark.dist
-def test_shard_tensor():
-    world_size = 2
-    run_func = partial(run_shard_tensor, world_size=world_size, port=free_port())
+@pytest.mark.parametrize("world_size", [1, 2])
+def test_shard_tensor(world_size):
+    run_func = partial(_run_shard_tensor, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
 
@@ -50,8 +52,8 @@ def _run_shard_param_v2(rank, world_size, port):
 
 
 @pytest.mark.dist
-def test_shard_param_v2():
-    world_size = 2
+@pytest.mark.parametrize("world_size", [1, 2])
+def test_shard_param_v2(world_size):
     run_func = partial(_run_shard_param_v2, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
@@ -84,40 +86,40 @@ def _run_test_shard_param(rank, world_size, port):
 
 
 @pytest.mark.dist
-def test_shard_param():
-    world_size = 2
+@pytest.mark.parametrize("world_size", [1, 2])
+def test_shard_param(world_size):
     run_func = partial(_run_test_shard_param, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
 
-def run_init_shard_param(rank, world_size, port):
+def _run_init_shard_param(rank, world_size, port):
     colossalai.launch(config=CONFIG, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
-    param = torch.nn.Parameter(data=torch.rand(2, 3))
+    param = torch.nn.Parameter(data=torch.rand(world_size, 3))
     sparam = ShardedParam(param, None, True)
     payload = sparam.payload(torch.device('cuda'))
     assert (list(payload.shape) == [3])
     del sparam
 
-    param_shape = (2, 3)
+    param_shape = (world_size, 3)
     sparam = ShardedParam(param_shape, process_group=None, is_sharded=True, device=torch.device('cpu'))
     payload = sparam.payload(torch.device('cuda'))
     assert (list(payload.shape) == [3])
 
-    param_shape = (2, 3)
+    param_shape = (world_size, 3)
     sparam = ShardedParam(param_shape, process_group=None, is_sharded=False, device=torch.device('cpu'))
     payload = sparam.payload(torch.device('cuda'))
-    assert (list(payload.shape) == [2, 3])
+    assert (list(payload.shape) == [world_size, 3])
 
 
 @pytest.mark.dist
-def test_init_shard_param():
-    world_size = 2
-    run_func = partial(run_init_shard_param, world_size=world_size, port=free_port())
+@pytest.mark.parametrize("world_size", [1, 4])
+def test_init_shard_param(world_size):
+    run_func = partial(_run_init_shard_param, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
 
 if __name__ == '__main__':
-    test_shard_tensor()
-    test_shard_param()
-    test_shard_param_v2()
-    test_init_shard_param()
+    test_shard_tensor(2)
+    test_shard_param(2)
+    test_shard_param_v2(2)
+    test_init_shard_param(4)
diff --git a/tests/test_zero_data_parallel/test_zero_param_mgr.py b/tests/test_zero_data_parallel/test_zero_param_mgr.py
index a38ed92863b4..8171a0946c89 100644
--- a/tests/test_zero_data_parallel/test_zero_param_mgr.py
+++ b/tests/test_zero_data_parallel/test_zero_param_mgr.py
@@ -1,41 +1,39 @@
 #!/usr/bin/env python
 # -*- encoding: utf-8 -*-
 
-import os
 from functools import partial
-from pathlib import Path
-
-import colossalai
 import pytest
+
 import torch
 import torch.multiprocessing as mp
+
+import colossalai
 from colossalai.zero.sharded_model.param_manager import Zero3ParameterManager
 from colossalai.core import global_context as gpc
 from colossalai.context.parallel_mode import ParallelMode
 from colossalai.utils import free_port
 from common import CONFIG
 
+
 def run_shard_shape_check(rank, world_size, port):
-    colossalai.launch(config=CONFIG,
-                      rank=rank,
-                      world_size=world_size,
-                      host='localhost',
-                      port=port,
-                      backend='nccl')
-    
+    colossalai.launch(config=CONFIG, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
+
     model = torch.nn.Linear(2, 4 * world_size)
     gpc.init_parallel_groups()
-    Zero3ParameterManager(module=model, process_group=gpc.get_group(ParallelMode.DATA), offload_config=CONFIG.get('offload_param_config'))
+    Zero3ParameterManager(module=model,
+                          process_group=gpc.get_group(ParallelMode.DATA),
+                          offload_config=CONFIG.get('offload_param_config'))
 
-    assert(model.weight.numel() == 4 * 2)
-    assert(model.bias.numel() == 4)
+    assert (model.weight.numel() == 4 * 2)
+    assert (model.bias.numel() == 4)
 
 
 @pytest.mark.dist
-def test_run_shard_shape():
-    world_size = 2
+@pytest.mark.parametrize("world_size", [1, 2, 4])
+def test_run_shard_shape(world_size):
     run_func = partial(run_shard_shape_check, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
+
 if __name__ == '__main__':
-    test_run_shard_shape()
+    test_run_shard_shape(2)
