import numpy as np import drjit as dr import mitsuba as mi from mitsuba import PCG32, Float, Point2f, TensorXf from PDE2D import ArrayXu, ArrayXf import sys def create_image_points(bbox : list, resolution : list[int], spp : int, seed : int = 64, centered = False) -> Point2f: # Generate the first points x, y = dr.meshgrid(dr.arange(Float, resolution[1]), dr.arange(Float, resolution[0]), indexing='xy') x = dr.repeat(x, spp) y = dr.repeat(y, spp) if not centered: npoints = resolution[0] * resolution[1] * spp np.random.seed(seed) init_state = np.random.randint(sys.maxsize, size = npoints) init_seq = np.random.randint(sys.maxsize, size = npoints) sampler = PCG32(npoints, initstate = init_state, initseq = init_seq) film_points = Point2f(x,y) + Point2f(sampler.next_float32(), sampler.next_float32()) else: film_points = Point2f(x,y) + Point2f(0.5, 0.5) # The bounding box is defined as (bottom-left,up-right) points = (Point2f(bbox[0][0], bbox[1][1]) + film_points / Point2f(resolution[1], resolution[0]) * (Point2f(bbox[1][0], bbox[0][1]) - Point2f(bbox[0][0], bbox[1][1]))) return points def create_image_from_result(result, resolution = [256, 256], compute_std = False): if isinstance(result, Float): num_conf = 1 else: if result.ndim == 1: num_conf = 1 else: num_conf = result.shape[0] # Splat to film spp = int(dr.width(result) / (resolution[0] * resolution[1])) #active_lanes = dr.select(result != 0, 1, 0) #active_sum = dr.block_sum(active_lanes, spp) result_sum = dr.block_sum(result, spp) / spp #image_res = TensorXf(dr.select(active_sum > 0, result_sum / active_sum, 0)) image_res = TensorXf(result_sum) shape = [num_conf, resolution[0], resolution[1]] tensor = dr.reshape(TensorXf, value = image_res, shape = shape) if not compute_std: return tensor.numpy(), tensor else: variance = TensorXf(dr.block_sum(dr.square(result), spp) / spp) variance = dr.reshape(TensorXf, value = variance, shape = shape) - dr.square(tensor) variance /= spp return tensor.numpy(), tensor, np.abs(variance.numpy()), variance def create_circle_points(origin : list = [0,0], radius : float = 1.0, resolution = 1024, spp = 256, seed : int = 14, centered = False, discrete_points = False, shift : float = 0): if not discrete_points: npoints = spp * resolution np.random.seed(seed) init_state = np.random.randint(sys.maxsize, size = npoints) init_seq = np.random.randint(sys.maxsize, size = npoints) sampler = PCG32(npoints, initstate = init_state, initseq = init_seq) film_points = dr.arange(Float, resolution) film_points = dr.repeat(film_points, spp) + sampler.next_float32() film_points -= 1/2 if centered else 0 angles = film_points / resolution * 2 * dr.pi + shift points = Point2f(origin) + radius * Point2f(dr.sin(angles), dr.cos(angles)) else: film_points = dr.arange(Float, resolution) film_points = dr.repeat(film_points, spp) film_points += 1/2 if centered else 0 angles = film_points / resolution * 2 * dr.pi + shift points = Point2f(origin) + radius * Point2f(dr.sin(angles), dr.cos(angles)) return points def create_circle_from_result(result, resolution = 1024): # Splat to film spp = int(dr.width(result) / resolution) res_image = TensorXf(dr.block_sum(result, spp)) / spp return res_image.numpy(), res_image def create_electrode_result(L, spe, electrode_nums : ArrayXu, apply_normalization = True, compute_std = False): #unnormalized = dr.block_sum(L, spe) / spe unnormalized = dr.block_sum(L, spe) / spe num_active_electrodes = dr.width(electrode_nums) if apply_normalization: bias = dr.block_sum(unnormalized, dr.width(unnormalized)) / num_active_electrodes result = unnormalized - dr.select(unnormalized != 0, bias, 0) else: result = unnormalized if not compute_std: return result variance = dr.block_sum(dr.square(L), spe) / spe - dr.square(unnormalized) variance /= spe return result, dr.sqrt(variance) ''' def block_sum(L : Float, spp : int) -> Float: #spe needs to be power of 2 iternum = int(dr.log2(spp)) sum = ArrayXf(L) for i in range(iternum): sum = dr.block_sum(sum, 2) return sum def block_sum_(L : Float, spp : int) -> Float: # Kahan-compensated blocksum. num_bins = dr.width(L)//spp index = dr.arange(UInt32, num_bins) index = dr.repeat(index, spp) target1 = dr.zeros(Float, num_bins) target2 = dr.zeros(Float, num_bins) dr.scatter_add_kahan(target1, target2, L, index) return target1 + target2 '''