import mitsuba as mi mi.set_variant("cuda_ad_rgb") import drjit as dr import matplotlib.pyplot as plt import sys from PDE2D.Coefficient import * from PDE2D.utils import * from PDE2D.BoundaryShape import * from PDE2D.Solver import * from PDE2D import PATH import argparse import os root_directory = os.path.join(PATH, "output2D", "finite_differences", "discrete-sdf") def create_path(path): if not os.path.exists(path): os.makedirs(path) parser = argparse.ArgumentParser(description='''Forward mode grad computation (translation)''') parser.add_argument('--spe', default = 23, type=int) parser.add_argument('--seed', default = 0, type=int) parser.add_argument('--iter', default = 512, type = int) parser.add_argument("--upsample", default = 1, type = int) parser.add_argument("--fdstep", default = 5e-3, type = float) args = parser.parse_args() spe = 2 ** args.spe fd_step = args.fdstep seed = args.seed sdf_array = np.array([[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1,-1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1,-1, 1,-1,-1,-1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1,-1,-1,-1,-1,-1,-1,-1, 1, 1, 1, 1, 1, 1], [1, 1, 1,-1,-1,-1,-1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1,-1,-1,-1,-1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1,-1,-1,-1,-1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1,-1,-1,-1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1,-1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]) sdf_array = sdf_array.repeat(args.upsample, axis = 0).repeat(args.upsample, axis = 1) box_length = 2.1 box_center = [0,0] in_boundary = SDFGrid(tensor_np= sdf_array, box_length=box_length, box_center=box_center, epsilon = 1e-5, redistance = True) out_boundary = CircleWithElectrodes(injection_confs = [[0,10]], is_delta = True) shape = BoundaryWithDirichlets(out_boundary, [in_boundary], dirichlet_values = [[0]]) data_holder = DataHolder(shape) wos = WostConstant(data_holder) num_conf = out_boundary.num_confs conf_numbers = [dr.opaque(UInt32, i, shape = (1)) for i in range(num_conf)] filename = f"fd{fd_step}" path = os.path.join(root_directory, "fd", filename) create_path(path) points, active_conf, electrode_nums = out_boundary.create_electrode_points(spe, conf_numbers=conf_numbers) grads_x = [] grads_y = [] for i in range(args.iter): seed_iter = i + args.seed wos.change_seed(seed_iter) wos.input.shape.in_boundaries[0].translation_x = dr.opaque(mi.Float, fd_step, shape = (1)) L_x, _ = wos.solve(points, active_conf, conf_numbers=conf_numbers, all_inside = True) wos.input.shape.in_boundaries[0].translation_x = dr.opaque(mi.Float, -fd_step, shape = (1)) L_x_, _ = wos.solve(points, active_conf, conf_numbers=conf_numbers, all_inside = True) grad_Lx = (L_x - L_x_) / (2 * fd_step) grad_x = create_electrode_result(grad_Lx, spe, electrode_nums, apply_normalization = True) wos.input.shape.in_boundaries[0].translation_x = dr.opaque(mi.Float, 0, shape = (1)) wos.input.shape.in_boundaries[0].translation_y = dr.opaque(mi.Float, fd_step, shape = (1)) L_y, _ = wos.solve(points, active_conf, conf_numbers=conf_numbers, all_inside = True) wos.input.shape.in_boundaries[0].translation_y = dr.opaque(mi.Float, -fd_step, shape = (1)) L_y_, _ = wos.solve(points, active_conf, conf_numbers=conf_numbers, all_inside = True) grad_Ly = (L_y - L_y_) / (2 * fd_step) grad_y = create_electrode_result(grad_Ly, spe, electrode_nums, apply_normalization = True) grad_x_np = grad_x.numpy() grad_y_np = grad_y.numpy() grads_x.append(grad_x_np) grads_y.append(grad_y_np) np.save(os.path.join(path, f"x-{seed_iter}.npy"), grad_x_np) np.save(os.path.join(path, f"y-{seed_iter}.npy"), grad_y_np) print(f"Iteration {i} is finished!") grad_x = np.sum(np.array(grads_x), axis = 0) / args.iter grad_y = np.sum(np.array(grads_y), axis = 0) / args.iter fig, ax = plt.subplots(layout='constrained', figsize = (12,5)) plot_primals(ax, grad_x[0], np.zeros_like(grad_x[0]), electrode_nums, 16, name1 = "grad_x", name2 = "-") fig.savefig(f"{path}/grad_x.pdf", bbox_inches = "tight", dpi = 300) plt.close(fig) fig, ax = plt.subplots(layout='constrained', figsize = (12,5)) plot_primals(ax, grad_y[0], np.zeros_like(grad_y[0]), electrode_nums, 16, name1 = "grad_y", name2 = "-") fig.savefig(f"{path}/grad_y.pdf", bbox_inches = "tight", dpi = 300) plt.close(fig)