code: def posemb_sincos_3d(patches, temperature=10000, dtype=torch.float32):
      _, f, h, w, dim, device, dtype = (
          *patches.shape,
          patches.device,
          patches.dtype,
      )
  
      z, y, x = torch.meshgrid(
          torch.arange(f, device=device),
          torch.arange(h, device=device),
          torch.arange(w, device=device),
          indexing="ij",
      )
  
      fourier_dim = dim // 6
  
      omega = torch.arange(fourier_dim, device=device) / (
          fourier_dim - 1
      )
      omega = 1.0 / (temperature**omega)
  
      z = z.flatten()[:, None] * omega[None, :]
      y = y.flatten()[:, None] * omega[None, :]
      x = x.flatten()[:, None] * omega[None, :]
  
      pe = torch.cat(
          (x.sin(), x.cos(), y.sin(), y.cos(), z.sin(), z.cos()), dim=1
      )
  
      pe = F.pad(
          pe, (0, dim - (fourier_dim * 6))
      )  # pad if feature dimension not cleanly divisible by 6
      return pe.type(dtype)
  
imports: import torch
  import torch.nn.functional
  from torch import nn
  from einops import rearrange
  from einops.layers.torch import Rearrange
label_desc: Use image node_id 2 for calling a global function with example usage: posemb_sincos_3d(patches, temperature, dtype) and returns: pe