diff --git a/mindspore/nn/layer/basic.py b/mindspore/nn/layer/basic.py
index bea7acde9e..e6ae679b6f 100644
--- a/mindspore/nn/layer/basic.py
+++ b/mindspore/nn/layer/basic.py
@@ -84,7 +84,7 @@ class L1Regularizer(Cell):
         self.scale = Tensor(scale, dtype=mstype.float32)
 
     def construct(self, weights):
-        const_utils.check_valid_type(F.dtype(weights), mstype.number_type, 'weights')
+        const_utils.check_type_valid(F.dtype(weights), mstype.number_type, 'weights')
         l1_regularization = self.scale * self.reduce_sum(self.abs(weights))
         return l1_regularization
 
diff --git a/mindspore/ops/composite/array_ops.py b/mindspore/ops/composite/array_ops.py
index 894abc7777..a64d5faac0 100644
--- a/mindspore/ops/composite/array_ops.py
+++ b/mindspore/ops/composite/array_ops.py
@@ -82,7 +82,7 @@ def repeat_elements(x, rep, axis=0):
          [3 4 5]
          [3 4 5]]
     """
-    const_utils.check_valid_type(F.dtype(x), mstype.number_type, 'input x')
+    const_utils.check_type_valid(F.dtype(x), mstype.number_type, 'input x')
     rep = _check_positive_int(rep, "rep", "repeat_elements")
     axis = _check_is_int(axis, "axis", "repeat_elements")
 
diff --git a/mindspore/ops/composite/math_ops.py b/mindspore/ops/composite/math_ops.py
index 1173ae12bb..f5586311d2 100644
--- a/mindspore/ops/composite/math_ops.py
+++ b/mindspore/ops/composite/math_ops.py
@@ -22,6 +22,8 @@ from mindspore.ops import functional as F
 from .. import operations as P
 
 # count_nonzero
+
+
 @constexpr
 def _check_validate_axis(axis, name):
     if isinstance(axis, (tuple, list)):
@@ -63,10 +65,10 @@ def count_nonzero(x, axis=(), keep_dims=False, dtype=mstype.int32):
         [[3]]
     """
 
-    const_utils.check_valid_type(F.dtype(x), mstype.number_type, 'input x')
+    const_utils.check_type_valid(F.dtype(x), mstype.number_type, 'input x')
     axis = _check_validate_axis(axis, "count_nonzero")
     keep_dims = _check_validate_keepdims(keep_dims, "count_nonzero")
-    const_utils.check_valid_type(dtype, mstype.number_type + (mstype.bool_,), 'dtype')
+    const_utils.check_type_valid(dtype, mstype.number_type + (mstype.bool_,), 'dtype')
 
     not_equal = P.NotEqual()
     cast = P.Cast()
@@ -79,6 +81,8 @@ def count_nonzero(x, axis=(), keep_dims=False, dtype=mstype.int32):
     return nonzero_num
 
 # tensor dot
+
+
 @constexpr
 def _int_to_tuple_conv(axes):
     """
@@ -97,10 +101,10 @@ def _check_axes(axes):
     """
     validator.check_value_type('axes', axes, [int, tuple, list], "tensor dot")
     if not isinstance(axes, int):
-        axes = list(axes) # to avoid immutability issues
+        axes = list(axes)  # to avoid immutability issues
         if len(axes) != 2:
             raise ValueError("Require two axes inputs, given less")
-        axes = _int_to_tuple_conv(axes) # convert before length checks
+        axes = _int_to_tuple_conv(axes)  # convert before length checks
         if len(axes[0]) != len(axes[1]):
             raise ValueError("Axes have to be the same size/length")
         if len(axes[0]) != len(set(axes[0])) or len(axes[1]) != len(set(axes[1])):
@@ -113,8 +117,8 @@ def _typecheck_input(x1_type, x2_type):
     """
     Check input tensor types to be valid and confirm they are the same type.
     """
-    const_utils.check_valid_type(x1_type, [mstype.float32, mstype.float16], 'x1')
-    const_utils.check_valid_type(x2_type, [mstype.float32, mstype.float16], 'x2')
+    const_utils.check_type_valid(x1_type, [mstype.float32, mstype.float16], 'x1')
+    const_utils.check_type_valid(x2_type, [mstype.float32, mstype.float16], 'x2')
     if x1_type != x2_type:
         raise TypeError(f'Both Inputs must be the same Type. x1 is \'{x1_type}\' and x2 is \'{x2_type}\' ')
 
diff --git a/mindspore/ops/composite/multitype_ops/_compile_utils.py b/mindspore/ops/composite/multitype_ops/_compile_utils.py
index a87773265f..051777c85d 100644
--- a/mindspore/ops/composite/multitype_ops/_compile_utils.py
+++ b/mindspore/ops/composite/multitype_ops/_compile_utils.py
@@ -26,6 +26,66 @@ hyper_map = base.HyperMap()
 pack = P.Pack(axis=-1)
 
 
+def _tensor_getitem(self, index):
+    """Handle tensor getitem"""
+    if isinstance(index, Tensor):
+        return tensor_index_by_tensor(self, index)
+    if isinstance(index, list):
+        return tensor_index_by_list(self, index)
+    if isinstance(index, tuple):
+        return tensor_index_by_tuple(self, index)
+    # bool type should be judged before int
+    if isinstance(index, bool):
+        return _tensor_index_by_bool(self, index)
+    if isinstance(index, int):
+        return _tensor_index_by_integer(self, index)
+    if isinstance(index, slice):
+        return tensor_index_by_slice(self, index)
+    if index is None:
+        return F.expand_dims(self, 0)
+    if index is ...:
+        return self
+    raise IndexError(f"Only support integers, slices(`:`), ellipsis(`...`), None, bool, tensor with int, "
+                     f"list and tuple ,but got {index} with type {type(index)}.")
+
+
+def _tensor_setitem(self, index, value):
+    """Handle tensor getitem"""
+    if isinstance(index, Tensor):
+        if isinstance(value, (int, float, bool)):
+            return tensor_setitem_by_tensor_with_number(self, index, value)
+        if isinstance(value, Tensor):
+            return tensor_setitem_by_tensor_with_tensor(self, index, value)
+        if isinstance(value, tuple):
+            return tensor_setitem_by_tensor_with_tuple(self, index, value)
+    if isinstance(index, tuple):
+        if isinstance(value, (int, float, bool)):
+            return tensor_setitem_by_tuple_with_number(self, index, value)
+        if isinstance(value, Tensor):
+            return tensor_setitem_by_tuple_with_tensor(self, index, value)
+        if isinstance(value, tuple):
+            return tensor_setitem_by_tuple_with_tuple(self, index, value)
+    if isinstance(index, int):
+        if isinstance(value, (int, float, bool)):
+            return tensor_setitem_by_number_with_number(self, index, value)
+        if isinstance(value, Tensor):
+            return tensor_setitem_by_number_with_tensor(self, index, value)
+    if isinstance(index, slice):
+        if isinstance(value, (int, float, bool)):
+            return tensor_setitem_by_slice_with_number(self, index, value)
+        if isinstance(value, Tensor):
+            return tensor_setitem_by_slice_with_tensor(self, index, value)
+    if isinstance(index, bool):
+        return _tensor_index_by_bool(self, index)
+    if index is ...:
+        if isinstance(value, (int, float, bool)):
+            return tensor_setitem_by_ellipsis_with_number(self, index, value)
+        if isinstance(value, Tensor):
+            return tensor_setitem_by_ellipsis_with_tensor(self, index, value)
+    raise IndexError("Tensor setitem index only support integers, slices(`:`), ellipsis(`...`), None, bool\
+                         and tensor with int32, got {} with type{}".format(index, type(index)))
+
+
 def _broadcast(broadcast_shape, x):
     """Broadcast tensor to the required shape."""
     if F.shape(x) == broadcast_shape:
@@ -42,15 +102,21 @@ def _transform_indexing_tensor(broadcast_shape, final_shape, new_shape, x):
     return _broadcast(final_shape, F.reshape(x, new_shape))
 
 
-def _transform_ellipsis_to_slice(tuple_index, data, op_name):
-    """transform ellipsis in the slice to several slice"""
+def _transform_ellipsis_to_slice(data, tuple_index, op_name):
+    """Check if the tuple index len is longer than the data's dims and transform ellipsis in the indices
+    to several slice"""
     data_shape = F.shape(data)
     data_rank = len(data_shape)
     indexes_types = hyper_map(F.typeof, tuple_index)
     slice_positions, ellipsis_positions, _, int_positions, _, tensor_positions, sequence_positions = \
         const_utils.get_pos_of_indexes_types(indexes_types, op_name)
+
     ellipsis_occupy_dims = data_rank - (len(slice_positions) + len(int_positions) +
                                         len(tensor_positions) + len(sequence_positions))
+    ellipsis_cnt = len(ellipsis_positions)
+    if (ellipsis_cnt == 0 and ellipsis_occupy_dims < 0) or (ellipsis_cnt > 0 and ellipsis_occupy_dims < 1):
+        const_utils.raise_index_error("For the 'getitem Operator', the data_shape should be no less than the "
+                                      "tuple index dims")
 
     tuple_index_new = ()
     for i, index in enumerate(tuple_index):
@@ -63,122 +129,172 @@ def _transform_ellipsis_to_slice(tuple_index, data, op_name):
     return tuple_index_new
 
 
+def _expand_data_dims_with_none(data, tuple_index, op_name):
+    """expand the data's dim with 'None' in tuple_index"""
+    indexes_types = hyper_map(F.typeof, tuple_index)
+    none_positions, tuple_index_without_none = (), ()
+    for i, (index, index_type) in enumerate(zip(tuple_index, indexes_types)):
+        none_type_tag = const_utils.judge_index_type(index_type, mstype.type_none)
+        tuple_index_without_none += (const_utils.make_empty_slice(),) if none_type_tag else(index,)
+        none_positions += (i,) if none_type_tag else ()
+
+    for dim in none_positions:
+        data = F.expand_dims(data, dim)
+
+    return data, tuple_index_without_none
+
+
+def tensor_index_by_slice(data, slice_index):
+    """Tensor getitem by a single slice"""
+    shape = F.shape(data)
+    if not shape:
+        const_utils.raise_index_error("When tensor is indexed by a slice, the dimension of the tensor"
+                                      "cannot be 0.")
+    begin_strides, end_strides, step_strides = const_utils.get_stride_info_from_slice(shape, slice_index)
+    return F.strided_slice(data, begin_strides, end_strides, step_strides)
+
+
+def tensor_index_by_number(data, number):
+    """Tensor getitem by a Number which may be integer/float/bool value"""
+    number_type = const_utils.check_number_index_type(number)
+    if number_type == const_utils.BOOL_:
+        return _tensor_index_by_bool(data, number)
+    if number_type == const_utils.INT_:
+        return _tensor_index_by_integer(data, number)
+    return const_utils.raise_index_error("Only support integers, slices(`:`), ellipsis(`...`), None and bool.")
+
+
+def _tensor_index_by_bool(data, bool_value):
+    """Tensor getitem by a single bool value"""
+    if bool_value:
+        return F.expand_dims(data, 0)
+    return const_utils.raise_index_error("When tensor is indexed by a bool object, the value only support 'True'.")
+
+
+def _tensor_index_by_integer(data, number):
+    """Tensor getitem by a single integer number"""
+    data_shape = F.shape(data)
+    data_rank = len(data_shape)
+    if data_rank == 0:
+        return const_utils.raise_type_error("When tensor is indexed by an integer, the dimension of the tensor "
+                                            "cannot be 0.")
+    transformed_number = const_utils.check_and_transform_int_index(number, data_shape[0], const_utils.TENSOR_GETITEM)
+    begin_strides, end_strides, step_strides = const_utils.get_stride_info_from_integer(data_shape, transformed_number)
+    shrink_axis_mask = 1
+    return P.StridedSlice(0, 0, 0, 0, shrink_axis_mask)(data, begin_strides, end_strides, step_strides)
+
+
+def tensor_index_by_tensor(data, tensor_index):
+    """Tensor getitem by a single tensor"""
+    index_type = F.dtype(tensor_index)
+    const_utils.check_index_type_valid(index_type, mstype.int_type, const_utils.TENSOR_GETITEM)
+    tensor_index = F.cast(tensor_index, mstype.int64)
+    return F.gather(data, tensor_index, 0)
+
+
+def tensor_index_by_list(data, list_index):
+    """Tensor getitem by list of int and bool"""
+    data_shape = F.shape(data)
+    const_utils.check_sequence_index_type(list_index, const_utils.TENSOR_GETITEM)
+    sub_tuple_index = const_utils.transform_sequence_index(list_index, data_shape[0], const_utils.TENSOR_GETITEM)
+    tensor_index = F.tuple_to_array(sub_tuple_index)
+    tensor_index = F.cast(tensor_index, mstype.int64)
+    return F.gather(data, tensor_index, 0)
+
+
+def tensor_index_by_tuple(data, tuple_index):
+    """Tensor getitem by tuple of various types with None"""
+    op_name = const_utils.TENSOR_GETITEM
+    if len(tuple_index) == 1:
+        return data[tuple_index[0]]
+    tuple_index = _transform_ellipsis_to_slice(data, tuple_index, op_name)
+    data, tuple_index = _expand_data_dims_with_none(data, tuple_index, op_name)
+    indexes_types = hyper_map(F.typeof, tuple_index)
+    contain_type = const_utils.tuple_index_type_cnt(indexes_types, op_name)
+    if contain_type == const_utils.ALL_TENSOR:
+        return _tensor_getitem_by_tuple_of_tensor(data, tuple_index)
+    if contain_type == const_utils.ALL_BASIC:
+        return _tensor_getitem_by_tuple_slice(data, tuple_index)
+    return _tensor_getitem_by_tuple(data, tuple_index)
+
+
+def _tensor_getitem_by_tuple_of_tensor(data, tuple_index):
+    """Tensor getitem by a tuple of tensor."""
+    indices = _generate_indices_from_tuple_of_tensor(data, tuple_index, const_utils.TENSOR_GETITEM)
+    result = F.gather_nd(data, indices)
+    return result
+
+
+def _tensor_getitem_by_tuple_slice(data, tuple_index):
+    """Tensor getitem by a tuple of slice"""
+    data_shape = F.shape(data)
+    begin_strides, end_strides, step_strides, shrink_axis_mask = \
+        const_utils.get_stride_info_from_tuple(data_shape, tuple_index)
+    return P.StridedSlice(0, 0, 0, 0, shrink_axis_mask)(data, begin_strides, end_strides, step_strides)
+
+
+def _tensor_getitem_by_tuple(data, tuple_index):
+    """Tensor getitem by a tuple of mixed tensor."""
+    indices = _generate_indices_from_tuple(data, tuple_index, const_utils.TENSOR_GETITEM)
+    result = F.gather_nd(data, indices)
+    return result
+
+
 def _generate_indices_from_tuple_of_tensor(data, tuple_index, op_name):
     """Generate an indices tensor from a tuple of tensor."""
     indices = None
-    check_index_tensor_number = const_utils.check_number_of_index_tensor(F.shape(data), len(tuple_index), op_name)
-    if check_index_tensor_number:
-        dtype_tuple = hyper_map(F.dtype, tuple_index)
-        check_dtypes = const_utils.check_index_tensors_dtype(dtype_tuple, op_name)
-        if check_dtypes:
-            shape_tuple = hyper_map(F.shape, tuple_index)
-            broadcast_shape = const_utils.generate_broadcast_shape(shape_tuple, op_name)
-            broadcast_tensors = hyper_map(F.partial(_broadcast, broadcast_shape), tuple_index)
-            indices = pack(broadcast_tensors)
+    indexes_types = hyper_map(F.dtype, tuple_index)
+    const_utils.check_indexes_types_valid(indexes_types, mstype.int_type, op_name)
+    tensor_index_shape = hyper_map(F.shape, tuple_index)
+    broadcast_shape = const_utils.generate_broadcast_shape(tensor_index_shape, op_name)
+    broadcast_tensors = hyper_map(F.partial(_broadcast, broadcast_shape), tuple_index)
+    indices = pack(broadcast_tensors)
+    indices = F.cast(indices, mstype.int64)
     return indices
 
 
 def _generate_indices_from_tuple(data, tuple_index, op_name):
     """Generate an indices tensor from a tuple that contains slice, int, ellipsis, tensor."""
     data_shape = F.shape(data)
+    tuple_index_len = len(tuple_index)
+    tensor_indexes, slice_indexes = [], []
     indexes_types = hyper_map(F.typeof, tuple_index)
-    int_positions, sequence_positions = const_utils.get_pos_of_int_sequence(indexes_types)
+    slice_positions, _, _, int_positions, _, \
+        tensor_positions, sequence_positions = const_utils.get_pos_of_indexes_types(indexes_types, op_name)
     tuple_index_new = ()
-    tuple_len = len(tuple_index)
 
-    for i in range(tuple_len):
-        index = tuple_index[i]
-        shape = data_shape[i]
+    for i, (index, dim_size) in enumerate(zip(tuple_index, data_shape)):
         if i in int_positions:
-            int_index = const_utils.check_and_transform_int_index(index, shape, op_name)
-            tensor_index = F.scalar_to_tensor(int_index, mstype.int32)
+            int_index = const_utils.check_and_transform_int_index(index, dim_size, op_name)
+            tensor_index = F.scalar_to_tensor(int_index, mstype.int64)
             tuple_index_new += (tensor_index,)
+            tensor_indexes.append(tensor_index)
+            tensor_positions.append(i)
         elif i in sequence_positions:
-            sequence_index = const_utils.transform_sequence_index(index, shape, op_name)
+            sequence_index = const_utils.transform_sequence_index(index, dim_size, op_name)
             tensor_index = F.tuple_to_array(sequence_index)
+            tensor_index = F.cast(tensor_index, mstype.int64)
             tuple_index_new += (tensor_index,)
-        else:
+            tensor_indexes.append(tensor_index)
+            tensor_positions.append(i)
+        elif i in tensor_positions:
+            tensor_index = F.cast(index, mstype.int64)
+            tuple_index_new += (tensor_index,)
+            tensor_indexes.append(tensor_index)
+        elif i in slice_positions:
+            slice_indexes.append(index)
             tuple_index_new += (index,)
 
-    indexes_types = hyper_map(F.typeof, tuple_index_new)
-    tensor_positions, slice_positions, ellipsis_position = \
-        const_utils.separate_mixed_tensors_index(indexes_types, op_name)
-    tensor_indexes, slice_indexes = [], []
-    for i in tensor_positions:
-        tensor_indexes.append(tuple_index_new[i])
-    for j in slice_positions:
-        slice_indexes.append(tuple_index_new[j])
-
     tensor_indexes_shapes = hyper_map(F.shape, tensor_indexes)
     tensor_indexes_dtypes = hyper_map(F.dtype, tensor_indexes)
-    broadcast_shape, final_shape, indexes_shapes_info, ellipsis_occupied_dims = \
-        const_utils.generate_index_info_from_tuple_of_mixed_tensors(data_shape,
-                                                                    indexes_types,
-                                                                    tensor_indexes_shapes,
-                                                                    tensor_indexes_dtypes,
-                                                                    slice_indexes,
-                                                                    op_name)
-
-    slice_number = 0
-    final_index_tensors = []
-    tuple_index_size = len(tuple_index_new)
-    index_tensor_new_shape = const_utils.compute_new_shape(broadcast_shape, indexes_shapes_info)
-    for i in range(tuple_index_size):
-        if i in tensor_positions:
-            transform_tensor = _transform_indexing_tensor(
-                broadcast_shape, final_shape, index_tensor_new_shape, tuple_index_new[i])
-            final_index_tensors.append(transform_tensor)
-        if i in slice_positions:
-            slice_tensor = const_utils.convert_slice_to_tensor(slice_number, final_shape, indexes_shapes_info, op_name)
-            final_index_tensors.append(slice_tensor)
-            slice_number += 1
-        if i == ellipsis_position:
-            ellipsis_tensors = const_utils.convert_ellipsis_to_tensors(
-                slice_number, ellipsis_occupied_dims, final_shape, indexes_shapes_info, op_name)
-            for ele in ellipsis_tensors:
-                final_index_tensors.append(ele)
-            slice_number += ellipsis_occupied_dims
-    indices = pack(final_index_tensors)
-    return indices
-
-
-def _generate_indices_from_tuple_of_mixed_tensors(data, tuple_index, op_name):
-    """Generate an indices tensor from a tuple that contains slice, int, ellipsis, tensor."""
-    data_shape = F.shape(data)
-    indexes_types = hyper_map(F.typeof, tuple_index)
-    int_positions = const_utils.get_pos_of_int_index(indexes_types)
-    tuple_index_new = ()
-    tuple_len = len(tuple_index)
-    for i in range(tuple_len):
-        if i in int_positions:
-            tuple_index_new += (F.scalar_to_tensor(tuple_index[i] if tuple_index[i] >= 0 else tuple_index[i] +
-                                                   data_shape[i], mstype.int32),)
-        else:
-            tuple_index_new += (tuple_index[i],)
     indexes_types = hyper_map(F.typeof, tuple_index_new)
-    tensor_positions, slice_positions, ellipsis_position = \
-        const_utils.separate_mixed_tensors_index(indexes_types, op_name)
-    tensor_indexes = []
-    slice_indexes = []
-    for i in tensor_positions:
-        tensor_indexes.append(tuple_index_new[i])
-    for j in slice_positions:
-        slice_indexes.append(tuple_index_new[j])
-    tensor_indexes_shapes = hyper_map(F.shape, tensor_indexes)
-    tensor_indexes_dtypes = hyper_map(F.dtype, tensor_indexes)
-    broadcast_shape, final_shape, indexes_shapes_info, ellipsis_occupied_dims = \
-        const_utils.generate_index_info_from_tuple_of_mixed_tensors(data_shape,
-                                                                    indexes_types,
-                                                                    tensor_indexes_shapes,
-                                                                    tensor_indexes_dtypes,
-                                                                    slice_indexes,
-                                                                    op_name)
+    broadcast_shape, final_shape, indexes_shapes_info = const_utils.generate_index_info_from_tuple_of_mixed_tensors(
+        data_shape, indexes_types, tensor_indexes_shapes, tensor_indexes_dtypes, slice_indexes, op_name)
 
     slice_number = 0
     final_index_tensors = []
-    tuple_index_size = len(tuple_index_new)
     index_tensor_new_shape = const_utils.compute_new_shape(broadcast_shape, indexes_shapes_info)
-    for i in range(tuple_index_size):
+    for i in range(tuple_index_len):
         if i in tensor_positions:
             transform_tensor = _transform_indexing_tensor(
                 broadcast_shape, final_shape, index_tensor_new_shape, tuple_index_new[i])
@@ -187,12 +303,7 @@ def _generate_indices_from_tuple_of_mixed_tensors(data, tuple_index, op_name):
             slice_tensor = const_utils.convert_slice_to_tensor(slice_number, final_shape, indexes_shapes_info, op_name)
             final_index_tensors.append(slice_tensor)
             slice_number += 1
-        if i == ellipsis_position:
-            ellipsis_tensors = const_utils.convert_ellipsis_to_tensors(
-                slice_number, ellipsis_occupied_dims, final_shape, indexes_shapes_info, op_name)
-            for ele in ellipsis_tensors:
-                final_index_tensors.append(ele)
-            slice_number += ellipsis_occupied_dims
+
     indices = pack(final_index_tensors)
     return indices
 
@@ -239,179 +350,8 @@ def _generate_updates_from_tensor(data, index, value, op_type):
     return value
 
 
-def _tensor_getitem(self, index):
-    """Handle tensor getitem"""
-    if isinstance(index, Tensor):
-        return tensor_index_by_tensor(self, index)
-    if isinstance(index, tuple):
-        return tensor_index_by_tuple(self, index)
-    if isinstance(index, list):
-        return tensor_index_by_list(self, index)
-    # bool type should be judged before int
-    if isinstance(index, bool):
-        return _tensor_index_by_bool(self, index)
-    if isinstance(index, int):
-        return _tensor_index_by_integer(self, index)
-    if isinstance(index, slice):
-        return tensor_index_by_slice(self, index)
-    if index is None:
-        return F.expand_dims(self, 0)
-    if index is ...:
-        return self
-    raise IndexError(f"Only support integers, slices(`:`), ellipsis(`...`), None, bool and tensor with int32, "
-                     f"got {index} with type {type(index)}.")
-
-
 tensor_operator_registry.register("__getitem__", _tensor_getitem)
 
-
-def _tensor_getitem_by_tuple_of_tensor(data, tuple_index):
-    """Tensor getitem by a tuple of tensor."""
-    indices = _generate_indices_from_tuple_of_tensor(data,
-                                                     tuple_index,
-                                                     const_utils.TENSOR_GETITEM)
-    result = F.gather_nd(data, indices)
-    return result
-
-
-def _tensor_getitem_by_tuple(data, tuple_index):
-    """Tensor getitem by a tuple of mixed tensor."""
-    indices = _generate_indices_from_tuple(data, tuple_index, const_utils.TENSOR_GETITEM)
-    result = F.gather_nd(data, indices)
-    return result
-
-
-def _tensor_getitem_by_tuple_of_mixed_tensors(data, tuple_index):
-    """Tensor getitem by a tuple of mixed tensor."""
-    indices = _generate_indices_from_tuple_of_mixed_tensors(data,
-                                                            tuple_index,
-                                                            const_utils.TENSOR_GETITEM)
-    result = F.gather_nd(data, indices)
-    return result
-
-
-def tensor_index_by_slice(data, slice_index):
-    """Tensor getitem by a single slice"""
-    shape = F.shape(data)
-    if not shape:
-        const_utils.raise_index_error("When tensor is indexed by a slice, the dimension of the tensor"
-                                      "cannot be 0.")
-    begin_strides, end_strides, step_strides = const_utils.get_stride_info_from_slice(shape, slice_index)
-    return F.strided_slice(data, begin_strides, end_strides, step_strides)
-
-
-def _tensor_index_by_integer(data, number):
-    """Tensor getitem by a single integer number"""
-    shape = F.shape(data)
-    if not shape:
-        return const_utils.raise_type_error("When tensor is indexed by an integer,"
-                                            "the dimension of the tensor cannot be 0.")
-    if number >= shape[0]:
-        return const_utils.raise_index_error("index {} is out of bounds for axis 0 with size {}".format(
-            number, shape[0]))
-    begin_strides, end_strides, step_strides = const_utils.get_stride_info_from_integer(shape, number)
-    shrink_axis_mask = 1
-    return P.StridedSlice(0, 0, 0, 0, shrink_axis_mask)(data, begin_strides, end_strides, step_strides)
-
-
-def _tensor_index_by_bool(data, bool_value):
-    """Tensor getitem by a single bool value"""
-    if bool_value:
-        return F.expand_dims(data, 0)
-    return const_utils.raise_index_error("When tensor is indexed by a bool object, the value only support 'True'.")
-
-
-def tensor_index_by_number(data, number):
-    """Tensor getitem by a Number which may be integer/float/bool value"""
-    number_type = const_utils.check_number_index_type(number)
-    if number_type == const_utils.BOOL_:
-        return _tensor_index_by_bool(data, number)
-    if number_type == const_utils.INT_:
-        return _tensor_index_by_integer(data, number)
-    return const_utils.raise_index_error("Only support integers, slices(`:`), ellipsis(`...`), None and bool.")
-
-
-def tensor_index_by_tensor(data, tensor_index):
-    """Tensor getitem by a single tensor"""
-    dtype_valid = const_utils.check_index_tensor_dtype(F.dtype(tensor_index),
-                                                       const_utils.TENSOR_GETITEM)
-    if dtype_valid:
-        return F.gather(data, tensor_index, 0)
-    return const_utils.raise_index_error("For 'tensor getitem', "
-                                         "the index tensor data type only support mstype.int32.")
-
-
-def _tensor_index_by_tuple_slice(data, tuple_index):
-    """Tensor getitem by a tuple of slice"""
-    data_shape = F.shape(data)
-    if len(tuple_index) > len(data_shape):
-        const_utils.raise_index_error("When tensor is indexed by a tuple, the length of the tuple cannot "
-                                      "be greater than the dimension of the tensor.")
-    begin_strides, end_strides, step_strides, shrink_axis_mask = \
-        const_utils.get_stride_info_from_tuple(data_shape, tuple_index)
-    return P.StridedSlice(0, 0, 0, 0, shrink_axis_mask)(data, begin_strides, end_strides, step_strides)
-
-
-def tensor_index_by_list(data, list_index):
-    """Tensor getitem by list of int and bool"""
-    data_shape = F.shape(data)
-    const_utils.check_list_index_type(list_index)
-    list_index = const_utils.transform_list(list_index, data_shape[0])
-    tensor_index = const_utils.convert_list_to_tensor(list_index)
-    return F.gather(data, tensor_index, 0)
-
-
-def tensor_index_by_tuple(data, tuple_index):
-    """Tensor getitem by tuple of various types with None"""
-    if len(tuple_index) == 1:
-        return data[tuple_index[0]]
-    tuple_index = _transform_ellipsis_to_slice(tuple_index, data, const_utils.TENSOR_GETITEM)
-    indexes_types = hyper_map(F.typeof, tuple_index)
-    contain_type = const_utils.tuple_index_type_cnt(indexes_types, const_utils.TENSOR_GETITEM)
-    if contain_type == const_utils.ALL_TENSOR:
-        return _tensor_getitem_by_tuple_of_tensor(data, tuple_index)
-    if contain_type == const_utils.ALL_BASIC:
-        return _tensor_index_by_tuple_slice(data, tuple_index)
-    return _tensor_getitem_by_tuple(data, tuple_index)
-
-
-def _tensor_setitem(self, index, value):
-    """Handle tensor getitem"""
-    if isinstance(index, Tensor):
-        if isinstance(value, (int, float, bool)):
-            return tensor_setitem_by_tensor_with_number(self, index, value)
-        if isinstance(value, Tensor):
-            return tensor_setitem_by_tensor_with_tensor(self, index, value)
-        if isinstance(value, tuple):
-            return tensor_setitem_by_tensor_with_tuple(self, index, value)
-    if isinstance(index, tuple):
-        if isinstance(value, (int, float, bool)):
-            return tensor_setitem_by_tuple_with_number(self, index, value)
-        if isinstance(value, Tensor):
-            return tensor_setitem_by_tuple_with_tensor(self, index, value)
-        if isinstance(value, tuple):
-            return tensor_setitem_by_tuple_with_tuple(self, index, value)
-    if isinstance(index, int):
-        if isinstance(value, (int, float, bool)):
-            return tensor_setitem_by_number_with_number(self, index, value)
-        if isinstance(value, Tensor):
-            return tensor_setitem_by_number_with_tensor(self, index, value)
-    if isinstance(index, slice):
-        if isinstance(value, (int, float, bool)):
-            return tensor_setitem_by_slice_with_number(self, index, value)
-        if isinstance(value, Tensor):
-            return tensor_setitem_by_slice_with_tensor(self, index, value)
-    if isinstance(index, bool):
-        return _tensor_index_by_bool(self, index)
-    if index is ...:
-        if isinstance(value, (int, float, bool)):
-            return tensor_setitem_by_ellipsis_with_number(self, index, value)
-        if isinstance(value, Tensor):
-            return tensor_setitem_by_ellipsis_with_tensor(self, index, value)
-    raise IndexError("Tensor setitem index only support integers, slices(`:`), ellipsis(`...`), None, bool\
-                         and tensor with int32, got {} with type{}".format(index, type(index)))
-
-
 tensor_operator_registry.register("__setitem__", _tensor_setitem)
 
 
@@ -532,24 +472,21 @@ def tensor_setitem_by_tuple_with_number(data, tuple_index, value):
     if len(tuple_index) == 1:
         data[tuple_index[0]] = value
         return data
+    op_name = const_utils.TENSOR_GETITEM
+    tuple_index = _transform_ellipsis_to_slice(data, tuple_index, op_name)
+    data, tuple_index = _expand_data_dims_with_none(data, tuple_index, op_name)
+
     indexes_types = hyper_map(F.typeof, tuple_index)
-    index_elements_type = const_utils.tuple_index_tensor_cnt(indexes_types, const_utils.TENSOR_SETITEM)
+    contain_type = const_utils.tuple_index_type_cnt(indexes_types, const_utils.TENSOR_SETITEM)
 
-    if index_elements_type == const_utils.ALL_TENSOR:
-        indices = _generate_indices_from_tuple_of_tensor(data,
-                                                         tuple_index,
-                                                         const_utils.TENSOR_SETITEM)
+    if contain_type == const_utils.ALL_TENSOR:
+        indices = _generate_indices_from_tuple_of_tensor(data, tuple_index, const_utils.TENSOR_SETITEM)
     else:
         int_cnt = const_utils.tuple_index_int_cnt(indexes_types, const_utils.TENSOR_SETITEM)
         if int_cnt == const_utils.ALL_INT:
             tuple_index = const_utils.convert_int_to_slice(tuple_index)
-        indices = _generate_indices_from_tuple_of_mixed_tensors(data,
-                                                                tuple_index,
-                                                                const_utils.TENSOR_SETITEM)
-    updates = _generate_updates_from_scalar(data,
-                                            indices,
-                                            value,
-                                            const_utils.SET_ITEM_BY_TUPLE_OF_TENSOR)
+        indices = _generate_indices_from_tuple(data, tuple_index, const_utils.TENSOR_SETITEM)
+    updates = _generate_updates_from_scalar(data, indices, value, const_utils.SET_ITEM_BY_TUPLE_OF_TENSOR)
     return P.TensorScatterUpdate()(data, indices, updates)
 
 
@@ -597,42 +534,26 @@ def tensor_setitem_by_tuple_with_tensor(data, tuple_index, value):
     if len(tuple_index) == 1:
         data[tuple_index[0]] = value
         return data
-    data_shape = data.shape
-    tuple_index_new = ()
-    for i, index in enumerate(tuple_index):
-        if isinstance(index, mstype.Int):
-            if index < -data_shape[i] or index >= data_shape[i]:
-                const_utils.raise_index_error("The index is out of the data's special dimension range.")
-            elif index < 0:
-                tuple_index_new += (tuple_index[i]+data_shape[i],)
-            else:
-                tuple_index_new += (tuple_index[i],)
-        else:
-            tuple_index_new += (tuple_index[i],)
+    op_name = const_utils.TENSOR_GETITEM
+    tuple_index = _transform_ellipsis_to_slice(data, tuple_index, op_name)
+    data, tuple_index = _expand_data_dims_with_none(data, tuple_index, op_name)
 
-    indexes_types = hyper_map(F.typeof, tuple_index_new)
-    index_elements_type = const_utils.tuple_index_tensor_cnt(indexes_types, const_utils.TENSOR_SETITEM)
+    indexes_types = hyper_map(F.typeof, tuple_index)
+    contain_type = const_utils.tuple_index_type_cnt(indexes_types, const_utils.TENSOR_SETITEM)
 
-    if index_elements_type == const_utils.ALL_TENSOR:
-        indices = _generate_indices_from_tuple_of_tensor(data,
-                                                         tuple_index_new,
-                                                         const_utils.TENSOR_SETITEM)
+    if contain_type == const_utils.ALL_TENSOR:
+        indices = _generate_indices_from_tuple_of_tensor(data, tuple_index, const_utils.TENSOR_SETITEM)
     else:
         int_cnt = const_utils.tuple_index_int_cnt(indexes_types, const_utils.TENSOR_SETITEM)
         if int_cnt == const_utils.ALL_INT:
-            tuple_index_new = const_utils.convert_int_to_slice(tuple_index_new)
+            tuple_index = const_utils.convert_int_to_slice(tuple_index)
             new_shape = ()
-            for _ in tuple_index_new:
+            for _ in tuple_index:
                 new_shape += (1,)
             new_shape += value.shape
             value = F.reshape(value, new_shape)
-        indices = _generate_indices_from_tuple_of_mixed_tensors(data,
-                                                                tuple_index_new,
-                                                                const_utils.TENSOR_SETITEM)
-    updates = _generate_updates_from_tensor(data,
-                                            indices,
-                                            value,
-                                            const_utils.SET_ITEM_BY_TUPLE_OF_TENSOR)
+        indices = _generate_indices_from_tuple(data, tuple_index, const_utils.TENSOR_SETITEM)
+    updates = _generate_updates_from_tensor(data, indices, value, const_utils.SET_ITEM_BY_TUPLE_OF_TENSOR)
     return P.TensorScatterUpdate()(data, indices, updates)
 
 
@@ -641,24 +562,21 @@ def tensor_setitem_by_tuple_with_tuple(data, tuple_index, value):
     if len(tuple_index) == 1:
         data[tuple_index[0]] = value
         return data
+    op_name = const_utils.TENSOR_GETITEM
+    tuple_index = _transform_ellipsis_to_slice(data, tuple_index, op_name)
+    data, tuple_index = _expand_data_dims_with_none(data, tuple_index, op_name)
+
     indexes_types = hyper_map(F.typeof, tuple_index)
-    index_elements_type = const_utils.tuple_index_tensor_cnt(indexes_types, const_utils.TENSOR_SETITEM)
+    contain_type = const_utils.tuple_index_type_cnt(indexes_types, const_utils.TENSOR_SETITEM)
 
-    if index_elements_type == const_utils.ALL_TENSOR:
-        indices = _generate_indices_from_tuple_of_tensor(data,
-                                                         tuple_index,
-                                                         const_utils.TENSOR_SETITEM)
+    if contain_type == const_utils.ALL_TENSOR:
+        indices = _generate_indices_from_tuple_of_tensor(data, tuple_index, const_utils.TENSOR_SETITEM)
     else:
         int_cnt = const_utils.tuple_index_int_cnt(indexes_types, const_utils.TENSOR_SETITEM)
         if int_cnt == const_utils.ALL_INT:
             tuple_index = const_utils.convert_int_to_slice(tuple_index)
-        indices = _generate_indices_from_tuple_of_mixed_tensors(data,
-                                                                tuple_index,
-                                                                const_utils.TENSOR_SETITEM)
-    updates = _generate_updates_from_tuple(data,
-                                           indices,
-                                           value,
-                                           const_utils.SET_ITEM_BY_TUPLE_OF_TENSOR)
+        indices = _generate_indices_from_tuple(data, tuple_index, const_utils.TENSOR_SETITEM)
+    updates = _generate_updates_from_tuple(data, indices, value, const_utils.SET_ITEM_BY_TUPLE_OF_TENSOR)
     return P.TensorScatterUpdate()(data, indices, updates)
 
 
diff --git a/mindspore/ops/composite/multitype_ops/_constexpr_utils.py b/mindspore/ops/composite/multitype_ops/_constexpr_utils.py
index 3972f94f7d..57a1d4cd78 100644
--- a/mindspore/ops/composite/multitype_ops/_constexpr_utils.py
+++ b/mindspore/ops/composite/multitype_ops/_constexpr_utils.py
@@ -69,16 +69,8 @@ def check_equal(param1, param2, msg="{},{}"):
 
 
 @constexpr
-def split_tuple_index_for_none(tuple_index):
-    """return the none_positions and the tuple_index_without_none whose None index is replaced by slice."""
-    none_positions, tuple_index_without_none = (), ()
-    for idx, item in enumerate(tuple_index):
-        if item is None:
-            none_positions += (idx,)
-            tuple_index_without_none += (slice(None, None, None),)
-        else:
-            tuple_index_without_none += (item,)
-    return none_positions, tuple_index_without_none
+def make_empty_slice():
+    return slice(None, None, None)
 
 
 @constexpr
@@ -139,10 +131,31 @@ def check_valid_dim(dim, name):
 
 
 @constexpr
-def check_valid_type(data_type, value_type, name):
-    if not data_type in value_type:
-        raise TypeError(
-            f"For {name}, valid type include {value_type}, {data_type} is invalid")
+def judge_index_type(index_type, target_type):
+    if index_type == target_type or (isinstance(target_type, (list, tuple)) and index_type in target_type):
+        return True
+    return False
+
+
+@constexpr
+def check_type_valid(dtype, target_type, op_name):
+    if dtype != target_type and (isinstance(target_type, (list, tuple)) and dtype not in target_type):
+        raise TypeError(f"The '{op_name}' doesn't supoort {dtype}' and expecte to receive {target_type}.")
+
+
+@constexpr
+def check_index_type_valid(dtype, target_type, op_name):
+    if dtype != target_type and (isinstance(target_type, (list, tuple)) and dtype not in target_type):
+        raise IndexError(f"The '{op_name}' doesn't supoort {dtype}' and expecte to receive {target_type}.")
+
+
+@constexpr
+def check_indexes_types_valid(dtypes, target_type, op_name):
+    """Check a tuple of tensor data type."""
+    for dtype in dtypes:
+        if dtype != target_type and (isinstance(target_type, (list, tuple)) and dtype not in target_type):
+            raise IndexError(f"For '{op_name}', the all index tensor data types should be in {target_type}, "
+                             f"but got {dtype}.")
 
 
 def slice_expand(input_slices, shape):
@@ -156,9 +169,7 @@ def slice_expand(input_slices, shape):
     Outputs:
         tuple[list], This is expressed as (begins, ends, strides).
     """
-    begin = []
-    end = []
-    strides = []
+    begin, end, strides = [], [], []
     index = 0
     slices = None
     # Slice or tuple(Slice...)
@@ -269,19 +280,6 @@ def integer_to_indices(index, shape):
     return Tensor(value, dtype=mstype.int32)
 
 
-@constexpr
-def tuple_element_is_slice(indexs):
-    """Judges tuple element type."""
-    if not indexs:
-        raise IndexError("Tensor's index cannot be empty.")
-    if isinstance(indexs, tuple):
-        for _, ele in enumerate(indexs):
-            if not isinstance(ele, slice):
-                return False
-        return True
-    return False
-
-
 @constexpr
 def tuple_element_is_int(indexs):
     """Judges tuple element type."""
@@ -395,8 +393,7 @@ def generate_broadcast_shape(shapes, op_name):
     for i, shape in enumerate(shapes):
         logger.debug(f"Broadcasts the {i}th tensor, the shape is {shape}.")
         try:
-            broadcast_shape = op_utils.get_broadcast_shape(
-                broadcast_shape, shape, op_name)
+            broadcast_shape = op_utils.get_broadcast_shape(broadcast_shape, shape, op_name)
         except ValueError as ex:
             raise IndexError(ex)
     return tuple(broadcast_shape)
@@ -439,80 +436,17 @@ def compute_new_shape(origin_shape, indexes_shapes_info):
 
 
 @constexpr
-def check_list_index_type(list_index):
+def check_sequence_index_type(sequence_index, op_name):
     """check if the item's type of list_index is bool or int"""
-    if not all([isinstance(index, (int, bool)) for index in list_index]):
-        raise IndexError(
-            f"Tensor only support 'integer' or 'boolean' array(list/tuple), but got {type(index)} in array")
+    if not all([isinstance(index, (int, bool)) for index in sequence_index]):
+        raise IndexError(f"In the {op_name} operation, only support 'integer' or 'boolean' array(list/tuple), "
+                         f"but got {type(index)} in array")
 
 
 @constexpr
-def transform_list(list_index, shape):
-    """transfor list_index from int or bool to int"""
-    bool_count = len(list(filter(lambda index: isinstance(index, bool), list_index)))
-    int_count = len(list(filter(lambda index: isinstance(index, int), list_index)))-bool_count
-    if int_count == 0:
-        if bool_count == shape:
-            list_index = list(filter(lambda i: list_index[i], range(bool_count)))
-        else:
-            raise IndexError("The boolean array should have the same length with the corresponding dimensiton")
-    else:
-        list_index = [int(index) for index in list_index]
-    for i, index in enumerate(list_index):
-        if index < -shape or index >= shape:
-            raise IndexError(f"The index should in the range [-{shape}, {shape-1}] to fit the corresponding dim "
-                             f"length, but get {index}.")
-        if index < 0:
-            index += shape
-        list_index[i] = index
-    return list_index
-
-
-@constexpr
-def convert_list_to_tensor(list_index):
-    """convert the list_index to tensor_index with mstype.int64 dtype"""
-    return Tensor(list_index, mstype.int64)
-
-
-@constexpr
-def convert_int_to_slice(tuple_indexes):
-    tuple_indexes_new = tuple(slice(i, i+1, 1) for i in tuple_indexes)
-    return tuple_indexes_new
-
-
-@constexpr
-def convert_ellipsis_to_tensors(slice_number,
-                                ellipsis_occupied_dims,
-                                final_shape,
-                                indexes_shapes_info,
-                                op_name):
-    """Convert an ellipsis to a list of tensor."""
-    tensor_list = []
-    dims_dealt_count = 0
-    while dims_dealt_count < ellipsis_occupied_dims:
-        shape = []
-        slice_count = 0
-        array = None
-        for ele in indexes_shapes_info:
-            if isinstance(ele, list):
-                if slice_count == slice_number:
-                    array = np.array(ele, np.int32)
-                    shape.append(len(ele))
-                else:
-                    shape.append(1)
-                slice_count += 1
-            if isinstance(ele, tuple):
-                shape.extend([1] * len(ele))
-        if array is None:
-            raise ValueError(
-                f"For '{op_name}', generate tensors from ellipsis failed.")
-        array = np.reshape(array, shape)
-        reps = compute_multiples(shape, final_shape)
-        tensor = Tensor(np.tile(array, reps))
-        tensor_list.append(tensor)
-        slice_number += 1
-        dims_dealt_count += 1
-    return tensor_list
+def convert_int_to_slice(tuple_index):
+    tuple_index_new = tuple(slice(i, i+1, 1) for i in tuple_index)
+    return tuple_index_new
 
 
 @constexpr
@@ -567,7 +501,7 @@ def convert_slice_to_tensor(slice_number, final_shape, indexes_shapes_info, op_n
             f"For '{op_name}', generate tensor from 'slice' failed.")
     array = np.reshape(array, shape)
     reps = compute_multiples(shape, final_shape)
-    tensor = Tensor(np.tile(array, reps))
+    tensor = Tensor(np.tile(array, reps), mstype.int64)
     return tensor
 
 
@@ -617,21 +551,17 @@ def generate_updates_shape(data_shape, index_shape, op_type):
 
 
 @constexpr
-def check_number_of_index_tensor(data_shape, tuple_len, op_name):
+def check_tuple_index_len(data_rank, tuple_index_len, op_name):
     """Check if the number of index tensor exceeds the dimension of the operated tensor."""
-    if tuple_len <= len(data_shape):
+    if tuple_index_len <= data_rank:
         return True
-    raise IndexError(f"For '{op_name}', the number {tuple_len} of index tensor "
-                     f"is greater than the dimension  {len(data_shape)} of the operated tensor.")
+    raise IndexError(f"For '{op_name}', the number {tuple_index_len} of tuple_index size"
+                     f"is greater than the dimension  {data_rank} of the operated tensor.")
 
 
 @constexpr
-def generate_index_info_from_tuple_of_mixed_tensors(data_shape,
-                                                    indexes_types,
-                                                    tensor_indexes_shapes,
-                                                    tensor_indexes_dtypes,
-                                                    slice_indexes,
-                                                    op_name):
+def generate_index_info_from_tuple_of_mixed_tensors(data_shape, indexes_types, tensor_indexes_shapes,
+                                                    tensor_indexes_dtypes, slice_indexes, op_name):
     """
     Generate index info which contain broadcast shape, final shape,
     indexes shapes info, ellipsis size from a tuple of mixed tensors.
@@ -642,22 +572,14 @@ def generate_index_info_from_tuple_of_mixed_tensors(data_shape,
     if indexes_size > data_rank:
         raise IndexError(f"For '{op_name}', the number {indexes_size} of index elements "
                          f"is greater than the dimension  {len(data_shape)} of the operated tensor.")
-    indexes_info = {}
-    index_tensors_info = {}
-    ellipsis_num = 0
-    ellipsis_occupied_dims = 0
-    tensor_count = 0
-    slice_count = 0
-    for i, ele_type in enumerate(indexes_types):
-        if ellipsis_num == 0:
-            pos = i
-        else:
-            pos = i + ellipsis_occupied_dims - 1
-        if isinstance(ele_type, mstype.tensor_type):
+    indexes_info, index_tensors_info = {}, {}
+    tensor_count, slice_count = 0, 0
+    for pos, index_type in enumerate(indexes_types):
+        if isinstance(index_type, mstype.tensor_type):
             indexes_info[pos] = tensor_indexes_shapes[tensor_count]
             index_tensors_info[pos] = tensor_indexes_shapes[tensor_count]
             tensor_count += 1
-        elif isinstance(ele_type, mstype.slice_type):
+        elif isinstance(index_type, mstype.slice_type):
             slice_obj = slice(slice_indexes[slice_count].start,
                               slice_indexes[slice_count].stop,
                               slice_indexes[slice_count].step)
@@ -669,22 +591,12 @@ def generate_index_info_from_tuple_of_mixed_tensors(data_shape,
                     slice_indexes[slice_count].stop,
                     slice_indexes[slice_count].step))
             slice_count += 1
-        elif isinstance(ele_type, mstype.ellipsis_type):
-            if ellipsis_num != 0:
-                raise IndexError(
-                    f"For '{op_name}', the index could only contain one ellipsis.")
-            ellipsis_occupied_dims = data_rank - indexes_size + 1
-            for j in range(pos, pos + ellipsis_occupied_dims):
-                # Use list to represent slicing result.
-                indexes_info[j] = list(range(data_shape[j]))
-            ellipsis_num += 1
         else:
             raise IndexError(f"For '{op_name}', the index elements only support "
-                             f"'Tensor', 'int', 'Slice', 'Ellipsis', but got {ele_type}.")
-    broadcast_shape, final_shape, indexes_shapes_info = \
-        _derive_result_shape_info_from_tuple_of_mixed_tensors(
-            indexes_info, index_tensors_info, op_name)
-    return broadcast_shape, final_shape, indexes_shapes_info, ellipsis_occupied_dims
+                             f"'Tensor', 'int', 'Slice', 'Ellipsis', but got {index_type}.")
+    broadcast_shape, final_shape, indexes_shapes_info = _derive_result_shape_info_from_tuple_of_mixed_tensors(
+        indexes_info, index_tensors_info, op_name)
+    return broadcast_shape, final_shape, indexes_shapes_info
 
 
 def _judge_tuple_of_mixed_tensors_continuous(index_tensor_info_key: list):
@@ -701,8 +613,7 @@ def _derive_result_shape_info_from_tuple_of_mixed_tensors(indexes_info, index_te
     index_tensor_info_value = list(index_tensors_info.values())
     broadcast_shape = generate_broadcast_shape(
         index_tensor_info_value, op_name)
-    final_shape = []
-    indexes_shapes_info = []
+    final_shape, indexes_shapes_info = [], []
     mixed_tensors_continuous = _judge_tuple_of_mixed_tensors_continuous(
         index_tensor_info_key)
     if mixed_tensors_continuous:
@@ -734,54 +645,6 @@ def _derive_result_shape_info_from_tuple_of_mixed_tensors(indexes_info, index_te
     return broadcast_shape, tuple(final_shape), tuple(indexes_shapes_info)
 
 
-@constexpr
-def make_empty_slice():
-    empty_slice = slice(None, None, None)
-    return empty_slice
-
-
-@constexpr
-def get_pos_of_int_index(indexes_types):
-    """Get int index positions from the mixed tensors index which contains int, tensor, slice, and ellipsis."""
-    int_positions = []
-    for i, ele_type in enumerate(indexes_types):
-        if ele_type in (mstype.int32, mstype.int64):
-            int_positions.append(i)
-    return int_positions
-
-
-@constexpr
-def get_pos_of_int_sequence(indexes_types):
-    """Get int and sequence index positions from the mixed tensors index."""
-    int_positions, sequence_positions = [], []
-    for i, index_type in enumerate(indexes_types):
-        if isinstance(index_type, mstype.Int):
-            int_positions.append(i)
-        elif isinstance(index_type, (tuple, list)):
-            sequence_positions.append(i)
-    return int_positions, sequence_positions
-
-
-@constexpr
-def separate_mixed_tensors_index(indexes_types, op_name):
-    """Separate the position information of tensor and slice and ellipsis from the mixed tensors index."""
-    tensor_positions = []
-    slice_positions = []
-    ellipsis_position = None
-    for i, ele_type in enumerate(indexes_types):
-        if isinstance(ele_type, mstype.tensor_type):
-            tensor_positions.append(i)
-        elif isinstance(ele_type, mstype.slice_type):
-            slice_positions.append(i)
-        elif isinstance(ele_type, mstype.ellipsis_type):
-            ellipsis_position = i
-        else:
-            raise IndexError(f"For '{op_name}', the index elements only support "
-                             f"'Tensor', 'int32', 'int64', 'Slice', 'Ellipsis', but got {ele_type}.")
-
-    return tensor_positions, slice_positions, ellipsis_position
-
-
 @constexpr
 def get_pos_of_indexes_types(indexes_types, op_name):
     """Separate the position information of tensor and slice and ellipsis from the mixed tensors index."""
@@ -805,6 +668,8 @@ def get_pos_of_indexes_types(indexes_types, op_name):
         else:
             raise IndexError(f"For '{op_name}', the index elements only support "
                              f"'Tensor', 'int32', 'int64', 'Slice', 'Ellipsis', but got {index_type}.")
+    if len(ellipsis_positions) > 1:
+        raise IndexError(f"For '{op_name}, an index can only have a single ellipsis('...')")
 
     return slice_positions, ellipsis_positions, none_positions, int_positions, bool_positions, \
         tensor_positions, sequence_positions
@@ -906,10 +771,10 @@ def get_stride_info_from_tuple(data_shape, tuple_index):
             ellipsis_count = ellipsis_count + 1
             if ellipsis_count > 1:
                 raise IndexError("An index can have only one ellipsis (...)")
-            ellipsis_range_size = data_rank - (tuple_index_len - 1)
+            ellipsis_range_size = data_rank - tuple_index_len + 1
             begin_strides.extend([0] * (ellipsis_range_size))
             end_strides.extend(
-                [i for i in data_shape[index_count: index_count + (ellipsis_range_size)]])
+                [shape for shape in data_shape[index_count: index_count + ellipsis_range_size]])
             step_strides.extend([1] * (ellipsis_range_size))
             index_count = index_count + ellipsis_range_size
         else:
diff --git a/mindspore/ops/composite/multitype_ops/getitem_impl.py b/mindspore/ops/composite/multitype_ops/getitem_impl.py
index 8ec376162a..91cfbde791 100644
--- a/mindspore/ops/composite/multitype_ops/getitem_impl.py
+++ b/mindspore/ops/composite/multitype_ops/getitem_impl.py
@@ -162,7 +162,7 @@ def _tensor_getitem_by_number(data, number_index):
 
 
 @getitem.register("Tensor", "None")
-def _tensor_getitem_by_none(data, index):
+def _tensor_getitem_by_none(data, none_index):
     """
     For none indexing , expand data with one dim.
 
diff --git a/mindspore/ops/composite/multitype_ops/setitem_impl.py b/mindspore/ops/composite/multitype_ops/setitem_impl.py
index b18bdcf4e8..6861f27b0d 100644
--- a/mindspore/ops/composite/multitype_ops/setitem_impl.py
+++ b/mindspore/ops/composite/multitype_ops/setitem_impl.py
@@ -132,6 +132,7 @@ def _dict_setitem_with_number(data, key, value):
     """
     return F.dict_setitem(data, key, value)
 
+
 @setitem.register("Dictionary", "String", "Tuple")
 def _dict_setitem_with_tuple(data, key, value):
     """
@@ -147,6 +148,7 @@ def _dict_setitem_with_tuple(data, key, value):
     """
     return F.dict_setitem(data, key, value)
 
+
 @setitem.register("Tensor", "Tensor", "Tensor")
 def _tensor_setitem_by_tensor_with_tensor(data, index, value_tensor):
     """
diff --git a/mindspore/ops/composite/random_ops.py b/mindspore/ops/composite/random_ops.py
index bea9ee456d..4d050dfb43 100644
--- a/mindspore/ops/composite/random_ops.py
+++ b/mindspore/ops/composite/random_ops.py
@@ -21,6 +21,7 @@ from .multitype_ops import _constexpr_utils as const_utils
 from ...common import dtype as mstype
 from ...common.seed import _get_graph_seed
 
+
 @constexpr
 def _get_seed(op_seed, kernel_name):
     "Get the graph-level seed."
@@ -59,14 +60,15 @@ def normal(shape, mean, stddev, seed=None):
     """
     mean_dtype = F.dtype(mean)
     stddev_dtype = F.dtype(stddev)
-    const_utils.check_valid_type(mean_dtype, mstype.int_type + (mstype.float16, mstype.float32), 'normal')
-    const_utils.check_valid_type(stddev_dtype, mstype.int_type + (mstype.float16, mstype.float32), 'normal')
+    const_utils.check_type_valid(mean_dtype, mstype.int_type + (mstype.float16, mstype.float32), 'normal')
+    const_utils.check_type_valid(stddev_dtype, mstype.int_type + (mstype.float16, mstype.float32), 'normal')
     seed1, seed2 = _get_seed(seed, "normal")
     stdnormal = P.StandardNormal(seed1, seed2)
     random_normal = stdnormal(shape)
     value = random_normal * stddev + mean
     return value
 
+
 def laplace(shape, mean, lambda_param, seed=None):
     r"""
     Generates random numbers according to the Laplace random number distribution.
@@ -112,6 +114,7 @@ def laplace(shape, mean, lambda_param, seed=None):
     value = rnd * lambda_param + mean
     return value
 
+
 def uniform(shape, minval, maxval, seed=None, dtype=mstype.float32):
     """
     Generates random numbers according to the Uniform random number distribution.
@@ -159,7 +162,7 @@ def uniform(shape, minval, maxval, seed=None, dtype=mstype.float32):
     """
     minval_dtype = F.dtype(minval)
     maxval_dtype = F.dtype(maxval)
-    const_utils.check_valid_type(dtype, [mstype.int32, mstype.float32], 'uniform')
+    const_utils.check_type_valid(dtype, [mstype.int32, mstype.float32], 'uniform')
     const_utils.check_tensors_dtype_same(minval_dtype, dtype, "uniform")
     const_utils.check_tensors_dtype_same(maxval_dtype, dtype, "uniform")
     seed1, seed2 = _get_seed(seed, "uniform")
@@ -172,6 +175,7 @@ def uniform(shape, minval, maxval, seed=None, dtype=mstype.float32):
         value = random_uniform * (maxval - minval) + minval
     return value
 
+
 def gamma(shape, alpha, beta, seed=None):
     """
     Generates random numbers according to the Gamma random number distribution.
@@ -205,6 +209,7 @@ def gamma(shape, alpha, beta, seed=None):
     value = random_gamma(shape, alpha, beta)
     return value
 
+
 def poisson(shape, mean, seed=None):
     """
     Generates random numbers according to the Poisson random number distribution.
@@ -235,6 +240,7 @@ def poisson(shape, mean, seed=None):
     value = random_poisson(shape, mean)
     return value
 
+
 def multinomial(inputs, num_sample, replacement=True, seed=None):
     r"""
     Returns a tensor sampled from the multinomial probability distribution located in the corresponding
diff --git a/mindspore/ops/operations/array_ops.py b/mindspore/ops/operations/array_ops.py
index be56f49468..3332050579 100644
--- a/mindspore/ops/operations/array_ops.py
+++ b/mindspore/ops/operations/array_ops.py
@@ -724,6 +724,7 @@ class Transpose(PrimitiveWithInfer):
             out['max_shape'] = tuple(max_vec)
         return out
 
+
 class Unique(Primitive):
     """
     Returns the unique elements of input tensor and also return a tensor containing the index of each value of input
@@ -2787,7 +2788,7 @@ class StridedSlice(PrimitiveWithInfer):
         if has_ellipsis:
             # When there is ellipsis, handle the second half of the ellipsis split.
             ellipsis_occupied_dims = x_rank - i - (slice_len - (j + 1)) + \
-                                     len(tuple(filter(lambda x: x == '1', new_axis_pos[j + 1:slice_len])))
+                len(tuple(filter(lambda x: x == '1', new_axis_pos[j + 1:slice_len])))
             ret_shape.extend(x_shape[i:i + ellipsis_occupied_dims])
             j += 1
             i += ellipsis_occupied_dims
@@ -3144,7 +3145,7 @@ class TensorScatterUpdate(PrimitiveWithInfer):
         return x_shape
 
     def infer_dtype(self, x_dtype, indices_dtype, value_dtype):
-        validator.check_tensor_dtype_valid('indices', indices_dtype, [mstype.int32], self.name)
+        validator.check_tensor_dtype_valid('indices', indices_dtype, [mstype.int32, mstype.int64], self.name)
         args = {"x": x_dtype, "value": value_dtype}
         validator.check_tensors_dtypes_same_and_valid(args, (mstype.bool_,) + mstype.number_type, self.name)
         return x_dtype
@@ -3983,7 +3984,7 @@ class SpaceToBatchND(PrimitiveWithInfer):
             offset = 1
         for i in range(len(self.block_shape)):
             padded = out_shape[i + offset] + self.paddings[i][0] + \
-                     self.paddings[i][1]
+                self.paddings[i][1]
             if padded % self.block_shape[i] != 0:
                 raise ValueError(f'For \'{self.name}\' padded[{i}] {padded} should be divisible by '
                                  f'block_shape[{i}] {self.block_shape[i]}')