#!/usr/bin/env python3 import argparse import math import numpy as np import OpenEXR import Imath import numba import random import concurrent.futures import os from functools import partial @numba.njit(cache=True) def rcp(a): return 1.0 / a @numba.njit(cache=True) def lerp(a, b, t): return a + (b - a) * t @numba.njit(cache=True) def saturate(a): if a < 0.0: return 0.0 if a > 1.0: return 1.0 return a # Standard BRDF components. @numba.njit(cache=True) def F_Schlick(LoH, f0, f90=1.0): term = 1.0 - LoH term2 = term * term term5 = term2 * term2 * term return f0 + (f90 - f0) * term5 @numba.njit(cache=True) def D_GGX(roughness, NoH): r2 = roughness * roughness NoH2 = NoH * NoH NoH4 = NoH2 * NoH2 k = rcp(NoH2) - 1.0 r2_plus_k = r2 + k denom = NoH4 * r2_plus_k * r2_plus_k return r2 / (denom + 1e-6) @numba.njit(cache=True) def G_GGXSmith(roughness, NoL, NoV): denom = 2.0 * lerp(2.0 * NoL * NoV, NoL + NoV, roughness) return rcp(denom + 1e-6) # Cloth BRDF components. @numba.njit(cache=True) def D_Cloth(roughness, NoH): if roughness < 1e-4: return 0.0 r_rcp = rcp(roughness) sin2H = 1.0 - NoH * NoH return (2.0 + r_rcp) * pow(sin2H, r_rcp * 0.5) / (2.0 * math.pi) @numba.njit(cache=True) def G_Cloth_L(x, a, b, c, d, e): return a / (1.0 + b * pow(x, c)) + d * x + e @numba.njit(cache=True) def G_Cloth(roughness, LoH): a0, a1 = 25.3245, 21.5473 b0, b1 = 3.32435, 3.82987 c0, c1 = 0.16801, 0.19823 d0, d1 = -1.27393, -1.97760 e0, e1 = -4.85967, -4.32054 one_minus_r = 1.0 - roughness one_minus_r_sq = one_minus_r * one_minus_r one_minus_LoH = 1.0 - LoH lambda_val = 0.0 if LoH < 0.5: L0 = G_Cloth_L(LoH, a0, b0, c0, d0, e0) L1 = G_Cloth_L(LoH, a1, b1, c1, d1, e1) L = lerp(L0, L1, one_minus_r_sq) lambda_val = math.exp(L) else: L_05_0 = G_Cloth_L(0.5, a0, b0, c0, d0, e0) L_05_1 = G_Cloth_L(0.5, a1, b1, c1, d1, e1) L_05 = lerp(L_05_0, L_05_1, one_minus_r_sq) L_LoH_0 = G_Cloth_L(one_minus_LoH, a0, b0, c0, d0, e0) L_LoH_1 = G_Cloth_L(one_minus_LoH, a1, b1, c1, d1, e1) L_LoH = lerp(L_LoH_0, L_LoH_1, one_minus_r_sq) lambda_val = math.exp(2.0 * L_05 - L_LoH) # Apply terminator softening (equation 4) return pow(lambda_val, 1.0 + 2.0 * pow(one_minus_LoH, 8.0)) @numba.njit(cache=True) def integrate_brdf_jitted(roughness, NoV, brdf_type, num_samples): V_x = math.sqrt(1.0 - NoV * NoV) V_y = 0.0 V_z = NoV A, B = 0.0, 0.0 for i in range(num_samples): e1, e2 = random.random(), random.random() # Importance sample GGX a = roughness a2 = a * a phi = 2.0 * math.pi * e1 cos_theta = math.sqrt((1.0 - e2) / (1.0 + (a2 - 1.0) * e2)) sin_theta = math.sqrt(1.0 - cos_theta * cos_theta) H_x = math.cos(phi) * sin_theta H_y = math.sin(phi) * sin_theta H_z = cos_theta VoH = H_x * V_x + H_y * V_y + H_z * V_z if VoH <= 0: continue L_x = 2.0 * VoH * H_x - V_x L_y = 2.0 * VoH * H_y - V_y L_z = 2.0 * VoH * H_z - V_z NoL = saturate(L_z) NoH = saturate(H_z) NoV_proxy = saturate(V_z) # NoV is V_z if NoL > 0: scale, bias = 0.0, 0.0 # --- Standard BRDF --- if brdf_type == 1: # Note that the D term is present in the numerator and the denominator, so it cancels out. #D = D_GGX(roughness, NoH) G = G_GGXSmith(roughness, NoL, NoV_proxy) Fc_term = pow(1.0 - VoH, 5.0) # PDF of GGX Importance Sampling is D * NoH / (4 * VoH). # The full term is (D * G * NoL) / PDF, which simplifies to: # G * NoL * (4 * VoH / NoH). # This can be unstable when NoH is close to zero, so we clamp the denominator. common_term = (G * NoL * 4.0 * VoH) / max(NoH, 1e-5) # We are baking the two components of the split-sum approximation for IBL: # reflectance = f0 * scale + bias scale = common_term * (1.0 - Fc_term) bias = common_term * Fc_term # --- Cloth BRDF --- elif brdf_type == 2: # We are importance sampling GGX, so must account for its PDF. D_c = D_Cloth(roughness, NoH) G_c = G_Cloth(roughness, VoH) # PDF = D_GGX(r, NoH) * NoH / (4 * VoH) pdf_ggx = D_GGX(roughness, NoH) * NoH / (4.0 * VoH + 1e-6) # We must divide by the PDF and multiply by our target distribution and the cosine term. scale = (D_c * G_c * NoL) / (pdf_ggx + 1e-6) bias = 0.0 A += scale B += bias return A / num_samples, B / num_samples def calculate_pixel(coords, resolution, brdf_type, num_samples): x, y = coords u = (x + 0.5) / resolution v = (y + 0.5) / resolution roughness = saturate(u) NoV = saturate(v) if NoV < 1e-4: return x, y, 0.0, 0.0, 0.0 r, g = 0.0, 0.0 if brdf_type == 1: # standard r, g = integrate_brdf_jitted(roughness, NoV, 1, num_samples) elif brdf_type == 2: # cloth if roughness < 1e-4: return x, y, 0.0, 0.0, 0.0 r, g = integrate_brdf_jitted(roughness, NoV, 2, num_samples) return x, y, r, g, 0.0 def generate_exr(resolution, output_filename, brdf_type, num_samples, num_workers): print(f"Generating {resolution}x{resolution} EXR '{output_filename}' ({num_samples} samples/pixel) using {num_workers} workers.") header = OpenEXR.Header(resolution, resolution) pt = Imath.PixelType(Imath.PixelType.FLOAT) header['channels'] = { 'R': Imath.Channel(pt), 'G': Imath.Channel(pt), 'B': Imath.Channel(pt) } pixel_data = np.zeros((resolution, resolution, 3), dtype=np.float32) coords_to_process = [(x, y) for y in range(resolution) for x in range(resolution)] worker_func = partial(calculate_pixel, resolution=resolution, brdf_type=brdf_type, num_samples=num_samples) processed_count = 0 total_pixels = len(coords_to_process) print(f"Starting pixel processing...") with concurrent.futures.ProcessPoolExecutor(max_workers=num_workers) as executor: futures = {executor.submit(worker_func, coord): coord for coord in coords_to_process} for future in concurrent.futures.as_completed(futures): try: x, y, r, g, b = future.result() pixel_data[y, x] = (r, g, b) except Exception as exc: coord = futures[future] print(f'\nPixel at {coord} generated an exception: {exc}') processed_count += 1 print(f" ...processed {processed_count}/{total_pixels} pixels ({processed_count/total_pixels:.1%})", end='\r') print(f"\nProcessing complete. Writing to {output_filename}...") try: # Vertically flip to match UV coordinates (0,0 at bottom-left). pixel_data = np.flipud(pixel_data) exr_file = OpenEXR.OutputFile(output_filename, header) r_data = pixel_data[:, :, 0].ravel().tobytes() g_data = pixel_data[:, :, 1].ravel().tobytes() b_data = pixel_data[:, :, 2].ravel().tobytes() exr_file.writePixels({'R': r_data, 'G': g_data, 'B': b_data}) exr_file.close() print(f"Successfully generated {output_filename}") except Exception as e: raise RuntimeError(f"Failed to write EXR file '{output_filename}': {e}") def main(): parser = argparse.ArgumentParser(description='Generate DFG LUT EXR images for PBR.') parser.add_argument('-t', '--type', choices=['standard', 'cloth'], default='standard', help='Type of DFG texture to generate (default: standard)') parser.add_argument('-r', '--resolution', type=int, default=128, help='Resolution of the square EXR image (default: 128)') parser.add_argument('-s', '--samples', type=int, default=1024, help='Number of samples per pixel for integration (default: 1024)') parser.add_argument('-o', '--output', help='Output filename (default: dfg_standard.exr or dfg_cloth.exr)') parser.add_argument('-j', '--workers', type=int, default=os.cpu_count(), help=f'Number of worker processes (default: {os.cpu_count()})') args = parser.parse_args() if args.resolution <= 0: print("Error: Resolution must be a positive integer") return 1 brdf_type = 1 if args.type == 'standard' else 2 output_filename = args.output if args.output else f'dfg_{args.type}.exr' try: generate_exr(args.resolution, output_filename, brdf_type, args.samples, args.workers) except Exception as e: print(f"Error: {e}") return 1 return 0 if __name__ == '__main__': exit(main())