import h5py from pdeinvbench.data.utils import extract_params_from_path from pdeinvbench.utils.types import PDE from pdeinvbench.utils.test_utils import create_gif_and_save from pdeinvbench.losses import pde_residuals from os import makedirs, listdir from os.path import join import torch import numpy as np import matplotlib.pyplot as plt """Simple script that tests the residuals for the PDEs.""" img_dir = "./test-images" def reaction_diffusion_2d(): # 2D Reaction Diffusion # Plot f = "/data/shared/meta-pde/reaction-diffusion-2d/train" files = [f for f in listdir(f) if f.endswith(".h5") or f.endswith(".hdf5")] data_file = join(f, files[0]) data = h5py.File(data_file, "r") x = torch.Tensor(data["0001"]["grid"]["x"][:]).unsqueeze(0) y = torch.Tensor(data["0001"]["grid"]["y"][:]).unsqueeze(0) t = torch.Tensor(data["0001"]["grid"]["t"][:]).unsqueeze(0) sol = torch.Tensor(data["0001"]["data"]) sol = sol.unsqueeze(0) # Batch dim sol = torch.permute(sol, (0, 1, 4, 2, 3)) # B x T x C x X x Y pde_params = extract_params_from_path(files[0], PDE.ReactionDiffusion2D) # Compute the residuals residual_func = pde_residuals.get_pde_residual_function(PDE.ReactionDiffusion2D) residual = residual_func(sol, pde_params, [x, y], t, return_partials=False) eqn1 = residual[:, :, 0] eqn1_scalar = torch.nn.functional.mse_loss(eqn1, torch.zeros_like(eqn1)) eqn2 = residual[:, :, 1] eqn2_scalar = torch.nn.functional.mse_loss(eqn2, torch.zeros_like(eqn2)) eqn1 = eqn1.squeeze() eqn2 = eqn2.squeeze() sol = sol.squeeze() # Remove batch dim of sol # Visualize as GIFs create_gif_and_save( eqn1, join(img_dir, "2d-reaction-diffusion-eqn1.gif"), cmap="magma", title=f"2D Reaction Diffusion u Residual {eqn1_scalar}", ) create_gif_and_save( eqn2, join(img_dir, "2d-reaction-diffusion-eqn2.gif"), cmap="magma", title=f"2D Reaction Diffusion v Residual {eqn2_scalar}", ) create_gif_and_save( torch.abs(eqn1) > 1e-2, join(img_dir, "2d-reaction-diffusion-eqn1-1e-2.gif"), cmap="PuRd", title=f"2D Reaction Diffusion u Residual (Threshold 1e-2)", ) create_gif_and_save( torch.abs(eqn2) > 1e-2, join(img_dir, "2d-reaction-diffusion-eqn2-1e-2.gif"), cmap="PuRd", title=f"2D Reaction Diffusion v Residual (Threshold 1e-2)", ) create_gif_and_save( torch.abs(eqn1) > 1e-4, join(img_dir, "2d-reaction-diffusion-eqn1-1e-4.gif"), cmap="PuRd", title=f"2D Reaction Diffusion u Residual (Threshold 1e-4)", ) create_gif_and_save( torch.abs(eqn2) > 1e-4, join(img_dir, "2d-reaction-diffusion-eqn2-1e-4.gif"), cmap="PuRd", title=f"2D Reaction Diffusion v Residual (Threshold 1e-4)", ) def main(): ### Folder to plot images ### makedirs(img_dir, exist_ok=True) # Test residuals reaction_diffusion_2d() if __name__ == "__main__": main()