import torch
import torch.nn as nn
import torch.nn.functional as F

class Model(nn.Module):
    """
    Performs a 3D transposed convolution operation with square input and square kernel,
    and supports padding, dilation, and stride.

    Args:
        in_channels (int): Number of channels in the input tensor.
        out_channels (int): Number of channels produced by the convolution.
        kernel_size (int): Size of the convolution kernel (square kernel, so only one value needed).
        stride (int, optional): Stride of the convolution. Defaults to 1.
        padding (int, optional): Padding applied to the input. Defaults to 0.
        dilation (int, optional): Spacing between kernel elements. Defaults to 1.
        bias (bool, optional): If `True`, adds a learnable bias to the output. Defaults to `False`.
    """
    def __init__(self, in_channels: int, out_channels: int, kernel_size: int, stride: int = 1, padding: int = 0, dilation: int = 1, bias: bool = False):
        super(Model, self).__init__()
        self.in_channels = in_channels
        self.out_channels = out_channels
        self.kernel_size = kernel_size
        self.stride = stride
        self.padding = padding
        self.dilation = dilation
        self.weight = nn.Parameter(torch.empty(out_channels, in_channels, kernel_size, kernel_size, kernel_size))
        if bias:
            self.bias = nn.Parameter(torch.empty(out_channels))
        else:
            self.register_parameter('bias', None)
        nn.init.kaiming_uniform_(self.weight, a=5**0.5)
        if self.bias is not None:
            nn.init.zeros_(self.bias)

    def forward(self, x: torch.Tensor, fn=None) -> torch.Tensor:
        """
        Performs the 3D transposed convolution.

        Args:
            x (torch.Tensor): Input tensor of shape (batch_size, in_channels, depth, height, width).

        Returns:
            torch.Tensor: Output tensor of shape (batch_size, out_channels, depth_out, height_out, width_out).
        """
        if fn is None:
            fn = module_fn
        return fn(x, self.weight, self.bias, self.stride, self.padding, self.dilation)

def module_fn(x, weight, bias, stride, padding, dilation):
    return F.conv_transpose3d(x, weight, bias, stride, padding, dilation)

# Test code
batch_size = 16
in_channels = 32
out_channels = 64
kernel_size = 3
depth = 16
height = 32
width = 32
stride = 2
padding = 1
dilation = 2

def get_inputs():
    x = torch.randn(batch_size, in_channels, depth, height, width)
    return [x]

def get_init_inputs():
    return [in_channels, out_channels, kernel_size, stride, padding, dilation]