import torch import torch.nn as nn import torch.nn.functional as F import numpy as np import random # Set manual seeds for noise # rand(n)_like. but with generator support def gen_like(f, input, generator=None): return f(input.size(), generator=generator).to(input) ''' The following snippet is utilized from https://github.com/Jamy-L/Pytorch-Contrast-Adaptive-Sharpening/ ''' def min_(tensor_list): # return the element-wise min of the tensor list. x = torch.stack(tensor_list) mn = x.min(axis=0)[0] return mn#torch.clamp(mn, min=-1) def max_(tensor_list): # return the element-wise max of the tensor list. x = torch.stack(tensor_list) mx = x.max(axis=0)[0] return mx#torch.clamp(mx, max=1) def contrast_adaptive_sharpening(image, amount): img = F.pad(image, pad=(1, 1, 1, 1)) absmean = torch.abs(image.mean()) a = img[..., :-2, :-2] b = img[..., :-2, 1:-1] c = img[..., :-2, 2:] d = img[..., 1:-1, :-2] e = img[..., 1:-1, 1:-1] f = img[..., 1:-1, 2:] g = img[..., 2:, :-2] h = img[..., 2:, 1:-1] i = img[..., 2:, 2:] # Computing contrast cross = (b, d, e, f, h) mn = min_(cross) mx = max_(cross) diag = (a, c, g, i) mn2 = min_(diag) mx2 = max_(diag) mx = mx + mx2 mn = mn + mn2 # Computing local weight inv_mx = torch.reciprocal(mx) amp = inv_mx * torch.minimum(mn, (2 - mx)) # scaling amp = torch.copysign(torch.sqrt(torch.abs(amp)), amp) w = - amp * (amount * (1/5 - 1/8) + 1/8) div = torch.reciprocal(1 + 4*w).clamp(-10, 10) output = ((b + d + f + h)*w + e) * div output = torch.nan_to_num(output) return (output.to(image.device)) ''' The following gaussian functions were utilized from the Fooocus UI, many thanks to github.com/Illyasviel ! ''' def gaussian_kernel(kernel_size, sigma): kernel = np.fromfunction( lambda x, y: (1 / (2 * np.pi * sigma ** 2)) * np.exp(-((x - (kernel_size - 1) / 2) ** 2 + (y - (kernel_size - 1) / 2) ** 2) / (2 * sigma ** 2)), (kernel_size, kernel_size) ) return kernel / np.sum(kernel) class GaussianBlur(nn.Module): def __init__(self, channels, kernel_size, sigma): super(GaussianBlur, self).__init__() self.channels = channels self.kernel_size = kernel_size self.sigma = sigma self.padding = kernel_size // 2 # Ensure output size matches input size self.register_buffer('kernel', torch.tensor(gaussian_kernel(kernel_size, sigma), dtype=torch.float32)) self.kernel = self.kernel.view(1, 1, kernel_size, kernel_size) self.kernel = self.kernel.expand(self.channels, -1, -1, -1) # Repeat the kernel for each input channel def forward(self, x): x = F.conv2d(x, self.kernel.to(x), padding=self.padding, groups=self.channels) return x gaussian_filter_2d = GaussianBlur(4, 7, 0.8) ''' As of August 18th (on Fooocus' GitHub), the gaussian functions were replaced by an anisotropic function for better stability. ''' Tensor = torch.Tensor Device = torch.DeviceObjType Dtype = torch.Type pad = torch.nn.functional.pad def _compute_zero_padding(kernel_size: tuple[int, int] | int) -> tuple[int, int]: ky, kx = _unpack_2d_ks(kernel_size) return (ky - 1) // 2, (kx - 1) // 2 def _unpack_2d_ks(kernel_size: tuple[int, int] | int) -> tuple[int, int]: if isinstance(kernel_size, int): ky = kx = kernel_size else: assert len(kernel_size) == 2, '2D Kernel size should have a length of 2.' ky, kx = kernel_size ky = int(ky) kx = int(kx) return ky, kx def gaussian( window_size: int, sigma: Tensor | float, *, device: Device | None = None, dtype: Dtype | None = None ) -> Tensor: batch_size = sigma.shape[0] x = (torch.arange(window_size, device=sigma.device, dtype=sigma.dtype) - window_size // 2).expand(batch_size, -1) if window_size % 2 == 0: x = x + 0.5 gauss = torch.exp(-x.pow(2.0) / (2 * sigma.pow(2.0))) return gauss / gauss.sum(-1, keepdim=True) def get_gaussian_kernel1d( kernel_size: int, sigma: float | Tensor, force_even: bool = False, *, device: Device | None = None, dtype: Dtype | None = None, ) -> Tensor: return gaussian(kernel_size, sigma, device=device, dtype=dtype) def get_gaussian_kernel2d( kernel_size: tuple[int, int] | int, sigma: tuple[float, float] | Tensor, force_even: bool = False, *, device: Device | None = None, dtype: Dtype | None = None, ) -> Tensor: sigma = torch.Tensor([[sigma, sigma]]).to(device=device, dtype=dtype) ksize_y, ksize_x = _unpack_2d_ks(kernel_size) sigma_y, sigma_x = sigma[:, 0, None], sigma[:, 1, None] kernel_y = get_gaussian_kernel1d(ksize_y, sigma_y, force_even, device=device, dtype=dtype)[..., None] kernel_x = get_gaussian_kernel1d(ksize_x, sigma_x, force_even, device=device, dtype=dtype)[..., None] return kernel_y * kernel_x.view(-1, 1, ksize_x) def _bilateral_blur( input: Tensor, guidance: Tensor | None, kernel_size: tuple[int, int] | int, sigma_color: float | Tensor, sigma_space: tuple[float, float] | Tensor, border_type: str = 'reflect', color_distance_type: str = 'l1', ) -> Tensor: if isinstance(sigma_color, Tensor): sigma_color = sigma_color.to(device=input.device, dtype=input.dtype).view(-1, 1, 1, 1, 1) ky, kx = _unpack_2d_ks(kernel_size) pad_y, pad_x = _compute_zero_padding(kernel_size) padded_input = pad(input, (pad_x, pad_x, pad_y, pad_y), mode=border_type) unfolded_input = padded_input.unfold(2, ky, 1).unfold(3, kx, 1).flatten(-2) # (B, C, H, W, Ky x Kx) if guidance is None: guidance = input unfolded_guidance = unfolded_input else: padded_guidance = pad(guidance, (pad_x, pad_x, pad_y, pad_y), mode=border_type) unfolded_guidance = padded_guidance.unfold(2, ky, 1).unfold(3, kx, 1).flatten(-2) # (B, C, H, W, Ky x Kx) diff = unfolded_guidance - guidance.unsqueeze(-1) if color_distance_type == "l1": color_distance_sq = diff.abs().sum(1, keepdim=True).square() elif color_distance_type == "l2": color_distance_sq = diff.square().sum(1, keepdim=True) else: raise ValueError("color_distance_type only acceps l1 or l2") color_kernel = (-0.5 / sigma_color**2 * color_distance_sq).exp() # (B, 1, H, W, Ky x Kx) space_kernel = get_gaussian_kernel2d(kernel_size, sigma_space, device=input.device, dtype=input.dtype) space_kernel = space_kernel.view(-1, 1, 1, 1, kx * ky) kernel = space_kernel * color_kernel out = (unfolded_input * kernel).sum(-1) / kernel.sum(-1) return out def bilateral_blur( input: Tensor, kernel_size: tuple[int, int] | int = (13, 13), sigma_color: float | Tensor = 3.0, sigma_space: tuple[float, float] | Tensor = 3.0, border_type: str = 'reflect', color_distance_type: str = 'l1', ) -> Tensor: return _bilateral_blur(input, None, kernel_size, sigma_color, sigma_space, border_type, color_distance_type) def joint_bilateral_blur( input: Tensor, guidance: Tensor, kernel_size: tuple[int, int] | int, sigma_color: float | Tensor, sigma_space: tuple[float, float] | Tensor, border_type: str = 'reflect', color_distance_type: str = 'l1', ) -> Tensor: return _bilateral_blur(input, guidance, kernel_size, sigma_color, sigma_space, border_type, color_distance_type) class _BilateralBlur(torch.nn.Module): def __init__( self, kernel_size: tuple[int, int] | int, sigma_color: float | Tensor, sigma_space: tuple[float, float] | Tensor, border_type: str = 'reflect', color_distance_type: str = "l1", ) -> None: super().__init__() self.kernel_size = kernel_size self.sigma_color = sigma_color self.sigma_space = sigma_space self.border_type = border_type self.color_distance_type = color_distance_type def __repr__(self) -> str: return ( f"{self.__class__.__name__}" f"(kernel_size={self.kernel_size}, " f"sigma_color={self.sigma_color}, " f"sigma_space={self.sigma_space}, " f"border_type={self.border_type}, " f"color_distance_type={self.color_distance_type})" ) class BilateralBlur(_BilateralBlur): def forward(self, input: Tensor) -> Tensor: return bilateral_blur( input, self.kernel_size, self.sigma_color, self.sigma_space, self.border_type, self.color_distance_type ) class JointBilateralBlur(_BilateralBlur): def forward(self, input: Tensor, guidance: Tensor) -> Tensor: return joint_bilateral_blur( input, guidance, self.kernel_size, self.sigma_color, self.sigma_space, self.border_type, self.color_distance_type, ) # Below is perlin noise from https://github.com/tasptz/pytorch-perlin-noise/blob/main/perlin_noise/perlin_noise.py from torch import Generator, Tensor, lerp from torch.nn.functional import unfold from typing import Callable, Tuple from math import pi def get_positions(block_shape: Tuple[int, int]) -> Tensor: """ Generate position tensor. Arguments: block_shape -- (height, width) of position tensor Returns: position vector shaped (1, height, width, 1, 1, 2) """ bh, bw = block_shape positions = torch.stack( torch.meshgrid( [(torch.arange(b) + 0.5) / b for b in (bw, bh)], indexing="xy", ), -1, ).view(1, bh, bw, 1, 1, 2) return positions def unfold_grid(vectors: Tensor) -> Tensor: """ Unfold vector grid to batched vectors. Arguments: vectors -- grid vectors Returns: batched grid vectors """ batch_size, _, gpy, gpx = vectors.shape return ( unfold(vectors, (2, 2)) .view(batch_size, 2, 4, -1) .permute(0, 2, 3, 1) .view(batch_size, 4, gpy - 1, gpx - 1, 2) ) def smooth_step(t: Tensor) -> Tensor: """ Smooth step function [0, 1] -> [0, 1]. Arguments: t -- input values (any shape) Returns: output values (same shape as input values) """ return t * t * (3.0 - 2.0 * t) def perlin_noise_tensor( vectors: Tensor, positions: Tensor, step: Callable = None ) -> Tensor: """ Generate perlin noise from batched vectors and positions. Arguments: vectors -- batched grid vectors shaped (batch_size, 4, grid_height, grid_width, 2) positions -- batched grid positions shaped (batch_size or 1, block_height, block_width, grid_height or 1, grid_width or 1, 2) Keyword Arguments: step -- smooth step function [0, 1] -> [0, 1] (default: `smooth_step`) Raises: Exception: if position and vector shapes do not match Returns: (batch_size, block_height * grid_height, block_width * grid_width) """ if step is None: step = smooth_step batch_size = vectors.shape[0] # grid height, grid width gh, gw = vectors.shape[2:4] # block height, block width bh, bw = positions.shape[1:3] for i in range(2): if positions.shape[i + 3] not in (1, vectors.shape[i + 2]): raise Exception( f"Blocks shapes do not match: vectors ({vectors.shape[1]}, {vectors.shape[2]}), positions {gh}, {gw})" ) if positions.shape[0] not in (1, batch_size): raise Exception( f"Batch sizes do not match: vectors ({vectors.shape[0]}), positions ({positions.shape[0]})" ) vectors = vectors.view(batch_size, 4, 1, gh * gw, 2) positions = positions.view(positions.shape[0], bh * bw, -1, 2) step_x = step(positions[..., 0]) step_y = step(positions[..., 1]) row0 = lerp( (vectors[:, 0] * positions).sum(dim=-1), (vectors[:, 1] * (positions - positions.new_tensor((1, 0)))).sum(dim=-1), step_x, ) row1 = lerp( (vectors[:, 2] * (positions - positions.new_tensor((0, 1)))).sum(dim=-1), (vectors[:, 3] * (positions - positions.new_tensor((1, 1)))).sum(dim=-1), step_x, ) noise = lerp(row0, row1, step_y) return ( noise.view( batch_size, bh, bw, gh, gw, ) .permute(0, 3, 1, 4, 2) .reshape(batch_size, gh * bh, gw * bw) ) def perlin_noise( grid_shape: Tuple[int, int], out_shape: Tuple[int, int], batch_size: int = 1, generator: Generator = None, *args, **kwargs, ) -> Tensor: """ Generate perlin noise with given shape. `*args` and `**kwargs` are forwarded to `Tensor` creation. Arguments: grid_shape -- Shape of grid (height, width). out_shape -- Shape of output noise image (height, width). Keyword Arguments: batch_size -- (default: {1}) generator -- random generator used for grid vectors (default: {None}) Raises: Exception: if grid and out shapes do not match Returns: Noise image shaped (batch_size, height, width) """ # grid height and width gh, gw = grid_shape # output height and width oh, ow = out_shape # block height and width bh, bw = oh // gh, ow // gw if oh != bh * gh: raise Exception(f"Output height {oh} must be divisible by grid height {gh}") if ow != bw * gw != 0: raise Exception(f"Output width {ow} must be divisible by grid width {gw}") angle = torch.empty( [batch_size] + [s + 1 for s in grid_shape], *args, **kwargs ).uniform_(to=2.0 * pi, generator=generator) # random vectors on grid points vectors = unfold_grid(torch.stack((torch.cos(angle), torch.sin(angle)), dim=1)) # positions inside grid cells [0, 1) positions = get_positions((bh, bw)).to(vectors) return perlin_noise_tensor(vectors, positions).squeeze(0) def generate_1f_noise(tensor, alpha, k, generator=None): """Generate 1/f noise for a given tensor. Args: tensor: The tensor to add noise to. alpha: The parameter that determines the slope of the spectrum. k: A constant. Returns: A tensor with the same shape as `tensor` containing 1/f noise. """ fft = torch.fft.fft2(tensor) freq = torch.arange(1, len(fft) + 1, dtype=torch.float) spectral_density = k / freq**alpha noise = torch.randn(tensor.shape, generator=generator) * spectral_density return noise def green_noise(width, height, generator=None): noise = torch.randn(width, height, generator=generator) scale = 1.0 / (width * height) fy = torch.fft.fftfreq(width)[:, None] ** 2 fx = torch.fft.fftfreq(height) ** 2 f = fy + fx power = torch.sqrt(f) power[0, 0] = 1 noise = torch.fft.ifft2(torch.fft.fft2(noise) / torch.sqrt(power)) noise *= scale / noise.std() return torch.real(noise) # Algorithm from https://github.com/v0xie/sd-webui-cads/ def add_cads_noise(y, timestep, cads_schedule_start, cads_schedule_end, cads_noise_scale, cads_rescale_factor, cads_rescale=False): timestep_as_float = (timestep / 999.0)[:, None, None, None].clone()[0].item() gamma = 0.0 if timestep_as_float < cads_schedule_start: gamma = 1.0 elif timestep_as_float > cads_schedule_end: gamma = 0.0 else: gamma = (cads_schedule_end - timestep_as_float) / (cads_schedule_end - cads_schedule_start) y_mean, y_std = torch.mean(y), torch.std(y) y = np.sqrt(gamma) * y + cads_noise_scale * np.sqrt(1 - gamma) * torch.randn_like(y) if cads_rescale: y_scaled = (y - torch.mean(y)) / torch.std(y) * y_std + y_mean if not torch.isnan(y_scaled).any(): y = cads_rescale_factor * y_scaled + (1 - cads_rescale_factor) * y else: print("Encountered NaN in cads rescaling. Skipping rescaling.") return y # Algorithm from https://github.com/v0xie/sd-webui-cads/ def add_cads_custom_noise(y, noise, timestep, cads_schedule_start, cads_schedule_end, cads_noise_scale, cads_rescale_factor, cads_rescale=False): timestep_as_float = (timestep / 999.0)[:, None, None, None].clone()[0].item() gamma = 0.0 if timestep_as_float < cads_schedule_start: gamma = 1.0 elif timestep_as_float > cads_schedule_end: gamma = 0.0 else: gamma = (cads_schedule_end - timestep_as_float) / (cads_schedule_end - cads_schedule_start) y_mean, y_std = torch.mean(y), torch.std(y) y = np.sqrt(gamma) * y + cads_noise_scale * np.sqrt(1 - gamma) * noise#.sub_(noise.mean()).div_(noise.std()) if cads_rescale: y_scaled = (y - torch.mean(y)) / torch.std(y) * y_std + y_mean if not torch.isnan(y_scaled).any(): y = cads_rescale_factor * y_scaled + (1 - cads_rescale_factor) * y else: print("Encountered NaN in cads rescaling. Skipping rescaling.") return y # Tonemapping functions def train_difference(a: Tensor, b: Tensor, c: Tensor) -> Tensor: diff_AB = a.float() - b.float() distance_A0 = torch.abs(b.float() - c.float()) distance_A1 = torch.abs(b.float() - a.float()) sum_distances = distance_A0 + distance_A1 scale = torch.where( sum_distances != 0, distance_A1 / sum_distances, torch.tensor(0.0).float() ) sign_scale = torch.sign(b.float() - c.float()) scale = sign_scale * torch.abs(scale) new_diff = scale * torch.abs(diff_AB) return new_diff def gated_thresholding(percentile: float, floor: float, t: Tensor) -> Tensor: """ Args: percentile: float between 0.0 and 1.0. for example 0.995 would subject only the top 0.5%ile to clamping. t: [b, c, v] tensor in pixel or latent space (where v is the result of flattening w and h) """ a = t.abs() # Magnitudes q = torch.quantile(a, percentile, dim=2) # Get clamp value via top % of magnitudes q.clamp_(min=floor) q = q.unsqueeze(2).expand(*t.shape) t = t.clamp(-q, q) # Clamp latent with magnitude value t = t / q return t def dyn_thresh_gate(latent: Tensor, centered_magnitudes: Tensor, tonemap_percentile: float, floor: float, ceil: float): if centered_magnitudes.lt(torch.tensor(ceil, device=centered_magnitudes.device)).all().item(): # If the magnitudes are less than the ceiling return latent # Return the unmodified centered latent else: latent = gated_thresholding(tonemap_percentile, floor, latent) # If the magnitudes are higher than the ceiling return latent # Gated-dynamic thresholding by Birchlabs def spatial_norm_thresholding(x0, value): # b c h w pow_x0 = torch.pow(torch.abs(x0), 2) s = pow_x0.mean(1, keepdim=True).sqrt().clamp(min=value) return x0 * (value / s) def spatial_norm_chw_thresholding(x0, value): # b c h w pow_x0 = torch.pow(torch.abs(x0), 2) s = pow_x0.mean(dim=(1, 2, 3), keepdim=True).sqrt().clamp(min=value) return x0 * (value / s) # Contrast function def contrast(x: Tensor): # Calculate the mean and standard deviation of the pixel values #mean = x.mean(dim=(1,2,3), keepdim=True) stddev = x.std(dim=(1,2,3), keepdim=True) # Scale the pixel values by the standard deviation scaled_pixels = (x) / stddev return scaled_pixels def contrast_with_mean(x: Tensor): # Calculate the mean and standard deviation of the pixel values #mean = x.mean(dim=(2,3), keepdim=True) stddev = x.std(dim=(1,2,3), keepdim=True) diff_mean = ((x / stddev) - x).mean(dim=(1,2,3), keepdim=True) # Scale the pixel values by the standard deviation scaled_pixels = x / stddev return scaled_pixels - diff_mean def center_latent(tensor): #https://birchlabs.co.uk/machine-learning#combating-mean-drift-in-cfg """Centers on 0 to combat CFG drift.""" tensor = tensor - tensor.mean(dim=(-2, -1)).unsqueeze(-1).unsqueeze(-1).expand(tensor.shape) return tensor def center_0channel(tensor): #https://birchlabs.co.uk/machine-learning#combating-mean-drift-in-cfg """Centers on 0 to combat CFG drift.""" std_dev_0 = tensor[:, [0]].std() mean_0 = tensor[:, [0]].mean() mean_12 = tensor[:, [1,2]].mean() mean_3 = tensor[:, [3]].mean() #tensor[:, [0]] /= std_dev_0 tensor[:, [0]] -= mean_0 tensor[:, [0]] += torch.copysign(torch.pow(torch.abs(mean_0), 1.5), mean_0) #tensor[:, [1, 2]] -= tensor[:, [1, 2]].mean() tensor[:, [1, 2]] -= mean_12 * 0.5 tensor[:, [3]] -= mean_3 tensor[:, [3]] += torch.copysign(torch.pow(torch.abs(mean_3), 1.5), mean_3) return tensor# - tensor.mean(dim=(2,3), keepdim=True) def channel_sharpen(tensor): """Centers on 0 to combat CFG drift.""" flattened = tensor.flatten(2) flat_std = flattened.std(dim=(2)).unsqueeze(2).expand(flattened.shape) flattened *= flat_std flattened -= flattened.mean(dim=(2)).unsqueeze(2).expand(flattened.shape) flattened /= flat_std tensor = flattened.unflatten(2, tensor.shape[2:]) return tensor def center_012channel(tensor): #https://birchlabs.co.uk/machine-learning#combating-mean-drift-in-cfg """Centers on 0 to combat CFG drift.""" curr_tens = tensor[:, [0,1,2]] tensor[:, [0,1,2]] -= curr_tens.mean() return tensor def center_latent_perchannel(tensor): # Does nothing different than above """Centers on 0 to combat CFG drift.""" flattened = tensor.flatten(2) flattened = flattened - flattened.mean(dim=(2)).unsqueeze(2).expand(flattened.shape) tensor = flattened.unflatten(2, tensor.shape[2:]) return tensor def center_latent_perchannel_with_magnitudes(tensor): # Does nothing different than above """Centers on 0 to combat CFG drift.""" flattened = tensor.flatten(2) flattened_magnitude = (torch.linalg.vector_norm(flattened, dim=(2), keepdim=True) + 0.0000000001) flattened /= flattened_magnitude flattened = flattened - flattened.mean(dim=(2)).unsqueeze(2).expand(flattened.shape) flattened *= flattened_magnitude tensor = flattened.unflatten(2, tensor.shape[2:]) return tensor def center_latent_perchannel_with_decorrelate(tensor): # Decorrelates data, slight change, test and play with it. """Centers on 0 to combat CFG drift, preprocesses the latent with decorrelation""" tensor = decorrelate_data(tensor) flattened = tensor.flatten(2) flattened_magnitude = (torch.linalg.vector_norm(flattened, dim=(2), keepdim=True) + 0.0000000001) flattened /= flattened_magnitude flattened = flattened - flattened.mean(dim=(2)).unsqueeze(2).expand(flattened.shape) flattened *= flattened_magnitude tensor = flattened.unflatten(2, tensor.shape[2:]) return tensor def center_latent_median(tensor): flattened = tensor.flatten(2) median = flattened.median() scaled_data = (flattened - median) scaled_data = scaled_data.unflatten(2, tensor.shape[2:]) return scaled_data def divisive_normalization(image_tensor, neighborhood_size, threshold=1e-6): # Compute the local mean and local variance local_mean = F.avg_pool2d(image_tensor, neighborhood_size, stride=1, padding=neighborhood_size // 2, count_include_pad=False) local_mean_squared = local_mean**2 local_variance = F.avg_pool2d(image_tensor**2, neighborhood_size, stride=1, padding=neighborhood_size // 2, count_include_pad=False) - local_mean_squared # Add a small value to prevent division by zero local_variance = local_variance + threshold # Apply divisive normalization normalized_tensor = image_tensor / torch.sqrt(local_variance) return normalized_tensor def decorrelate_data(data): """flattened = tensor.flatten(2).squeeze(0) # this code aint shit, yo cov_matrix = torch.cov(flattened) sqrt_inv_cov_matrix = torch.linalg.inv(torch.sqrt(cov_matrix)) decorrelated_tensor = torch.dot(flattened, sqrt_inv_cov_matrix.T) decorrelated_tensor = decorrelated_tensor.unflatten(2, tensor.shape[2:]).unsqueeze(0)""" # Reshape the 4D tensor to a 2D tensor for covariance calculation num_samples, num_channels, height, width = data.size() data_reshaped = data.view(num_samples, num_channels, -1) data_reshaped = data_reshaped - torch.mean(data_reshaped, dim=2, keepdim=True) # Compute covariance matrix cov_matrix = torch.matmul(data_reshaped, data_reshaped.transpose(1, 2)) / (height * width - 1) # Compute the inverse square root of the covariance matrix u, s, v = torch.svd(cov_matrix) sqrt_inv_cov_matrix = torch.matmul(u, torch.matmul(torch.diag_embed(1.0 / torch.sqrt(s)), v.transpose(1, 2))) # Reshape sqrt_inv_cov_matrix to match the dimensions of data_reshaped sqrt_inv_cov_matrix = sqrt_inv_cov_matrix.unsqueeze(0).expand(num_samples, -1, -1, -1) # Decorrelate the data decorrelated_data = torch.matmul(data_reshaped.transpose(1, 2), sqrt_inv_cov_matrix.transpose(2, 3)) decorrelated_data = decorrelated_data.transpose(2, 3) # Reshape back to the original shape decorrelated_data = decorrelated_data.view(num_samples, num_channels, height, width) return decorrelated_data.to(data.device) def get_low_frequency_noise(image: Tensor, threshold: float): # Convert image to Fourier domain fourier = torch.fft.fft2(image, dim=(-2, -1)) # Apply FFT along Height and Width dimensions # Compute the power spectrum power_spectrum = torch.abs(fourier) ** 2 threshold = threshold ** 2 # Drop low-frequency components mask = (power_spectrum < threshold).float() filtered_fourier = fourier * mask # Inverse transform back to spatial domain inverse_transformed = torch.fft.ifft2(filtered_fourier, dim=(-2, -1)) # Apply IFFT along Height and Width dimensions return inverse_transformed.real.to(image.device) def spectral_modulation(image: Tensor, modulation_multiplier: float, spectral_mod_percentile: float): # Reference implementation by Clybius, 2023 :tm::c::r: (jk idc who uses it :3) # Convert image to Fourier domain fourier = torch.fft.fft2(image, dim=(-2, -1)) # Apply FFT along Height and Width dimensions log_amp = torch.log(torch.sqrt(fourier.real ** 2 + fourier.imag ** 2)) quantile_low = torch.quantile( log_amp.abs().flatten(2), spectral_mod_percentile * 0.01, dim = 2 ).unsqueeze(-1).unsqueeze(-1).expand(log_amp.shape) quantile_high = torch.quantile( log_amp.abs().flatten(2), 1 - (spectral_mod_percentile * 0.01), dim = 2 ).unsqueeze(-1).unsqueeze(-1).expand(log_amp.shape) # Increase low-frequency components mask_low = ((log_amp < quantile_low).float() + 1).clamp_(max=1.5) # If lower than low 5% quantile, set to 1.5, otherwise 1 # Decrease high-frequency components mask_high = ((log_amp < quantile_high).float()).clamp_(min=0.5) # If lower than high 5% quantile, set to 1, otherwise 0.5 filtered_fourier = fourier * ((mask_low * mask_high) ** modulation_multiplier) # Effectively # Inverse transform back to spatial domain inverse_transformed = torch.fft.ifft2(filtered_fourier, dim=(-2, -1)) # Apply IFFT along Height and Width dimensions return inverse_transformed.real.to(image.device) def spectral_modulation_soft(image: Tensor, modulation_multiplier: float, spectral_mod_percentile: float): # Modified for soft quantile adjustment using a novel:tm::c::r: method titled linalg. # Convert image to Fourier domain fourier = torch.fft.fft2(image, dim=(-2, -1)) # Apply FFT along Height and Width dimensions log_amp = torch.log(torch.sqrt(fourier.real ** 2 + fourier.imag ** 2)) quantile_low = torch.quantile( log_amp.abs().flatten(2), spectral_mod_percentile * 0.01, dim = 2 ).unsqueeze(-1).unsqueeze(-1).expand(log_amp.shape) quantile_high = torch.quantile( log_amp.abs().flatten(2), 1 - (spectral_mod_percentile * 0.01), dim = 2 ).unsqueeze(-1).unsqueeze(-1).expand(log_amp.shape) quantile_max = torch.quantile( log_amp.abs().flatten(2), 1, dim = 2 ).unsqueeze(-1).unsqueeze(-1).expand(log_amp.shape) # Decrease high-frequency components mask_high = log_amp > quantile_high # If we're larger than 95th percentile additive_mult_high = torch.where( mask_high, 1 - ((log_amp - quantile_high) / (quantile_max - quantile_high)).clamp_(max=0.5), # (1) - (0-1), where 0 is 95th %ile and 1 is 100%ile torch.tensor(1.0) ) # Increase low-frequency components mask_low = log_amp < quantile_low additive_mult_low = torch.where( mask_low, 1 + (1 - (log_amp / quantile_low)).clamp_(max=0.5), # (1) + (0-1), where 0 is 5th %ile and 1 is 0%ile torch.tensor(1.0) ) mask_mult = ((additive_mult_low * additive_mult_high) ** modulation_multiplier).clamp_(min=0.05, max=20) #print(mask_mult) filtered_fourier = fourier * mask_mult # Inverse transform back to spatial domain inverse_transformed = torch.fft.ifft2(filtered_fourier, dim=(-2, -1)) # Apply IFFT along Height and Width dimensions return inverse_transformed.real.to(image.device) def pyramid_noise_like(x, discount=0.9, generator=None, rand_source=random): b, c, w, h = x.shape # EDIT: w and h get over-written, rename for a different variant! u = torch.nn.Upsample(size=(w, h), mode='nearest-exact') noise = gen_like(torch.randn, x, generator=generator) for i in range(10): r = rand_source.random()*2+2 # Rather than always going 2x, w, h = max(1, int(w/(r**i))), max(1, int(h/(r**i))) noise += u(torch.randn(b, c, w, h, generator=generator).to(x)) * discount**i if w==1 or h==1: break # Lowest resolution is 1x1 return noise/noise.std() # Scaled back to roughly unit variance import math def dyn_cfg_modifier(conditioning, unconditioning, method, cond_scale, time_mult): match method: case "dyncfg-halfcosine": noise_pred = conditioning - unconditioning noise_pred_magnitude = (torch.linalg.vector_norm(noise_pred, dim=(1)) + 0.0000000001)[:,None] time = time_mult.item() time_factor = -(math.cos(0.5 * time * math.pi) / 2) + 1 noise_pred_timescaled_magnitude = (torch.linalg.vector_norm(noise_pred * time_factor, dim=(1)) + 0.0000000001)[:,None] noise_pred /= noise_pred_magnitude noise_pred *= noise_pred_timescaled_magnitude return noise_pred case "dyncfg-halfcosine-mimic": noise_pred = conditioning - unconditioning noise_pred_magnitude = (torch.linalg.vector_norm(noise_pred, dim=(1)) + 0.0000000001)[:,None] time = time_mult.item() time_factor = -(math.cos(0.5 * time * math.pi) / 2) + 1 latent = noise_pred mimic_latent = noise_pred * time_factor mimic_flattened = mimic_latent.flatten(2) mimic_means = mimic_flattened.mean(dim=2).unsqueeze(2) mimic_recentered = mimic_flattened - mimic_means mimic_abs = mimic_recentered.abs() mimic_max = mimic_abs.max(dim=2).values.unsqueeze(2) latent_flattened = latent.flatten(2) latent_means = latent_flattened.mean(dim=2).unsqueeze(2) latent_recentered = latent_flattened - latent_means latent_abs = latent_recentered.abs() latent_q = torch.quantile(latent_abs, 0.995, dim=2).unsqueeze(2) s = torch.maximum(latent_q, mimic_max) pred_clamped = noise_pred.flatten(2).clamp(-s, s) pred_normalized = pred_clamped / s pred_renorm = pred_normalized * mimic_max pred_uncentered = pred_renorm + latent_means noise_pred_degraded = pred_uncentered.unflatten(2, noise_pred.shape[2:]) noise_pred /= noise_pred_magnitude noise_pred_timescaled_magnitude = (torch.linalg.vector_norm(noise_pred_degraded, dim=(1)) + 0.0000000001)[:,None] noise_pred *= noise_pred_timescaled_magnitude return noise_pred class ModelSamplerLatentMegaModifier: @classmethod def INPUT_TYPES(s): return {"required": { "model": ("MODEL",), "sharpness_multiplier": ("FLOAT", {"default": 0.0, "min": -100.0, "max": 100.0, "step": 0.1}), "sharpness_method": (["anisotropic", "joint-anisotropic", "gaussian", "cas"], ), "tonemap_multiplier": ("FLOAT", {"default": 0.0, "min": 0.0, "max": 100.0, "step": 0.01}), "tonemap_method": (["reinhard", "reinhard_perchannel", "arctan", "quantile", "gated", "cfg-mimic", "spatial-norm"], ), "tonemap_percentile": ("FLOAT", {"default": 100.0, "min": 0.0, "max": 100.0, "step": 0.005}), "contrast_multiplier": ("FLOAT", {"default": 0.0, "min": -100.0, "max": 100.0, "step": 0.1}), "combat_method": (["subtract", "subtract_channels", "subtract_median", "sharpen"], ), "combat_cfg_drift": ("FLOAT", {"default": 0.0, "min": -10.0, "max": 10.0, "step": 0.01}), "rescale_cfg_phi": ("FLOAT", {"default": 0.0, "min": -10.0, "max": 10.0, "step": 0.01}), "extra_noise_type": (["gaussian", "uniform", "perlin", "pink", "green", "pyramid"], ), "extra_noise_method": (["add", "add_scaled", "speckle", "cads", "cads_rescaled", "cads_speckle", "cads_speckle_rescaled"], ), "extra_noise_multiplier": ("FLOAT", {"default": 0.0, "min": 0.0, "max": 100.0, "step": 0.1}), "extra_noise_lowpass": ("INT", {"default": 100, "min": 0, "max": 1000, "step": 1}), "divisive_norm_size": ("INT", {"default": 127, "min": 1, "max": 255, "step": 1}), "divisive_norm_multiplier": ("FLOAT", {"default": 0.0, "min": 0.0, "max": 1.0, "step": 0.01}), "spectral_mod_mode": (["hard_clamp", "soft_clamp"], ), "spectral_mod_percentile": ("FLOAT", {"default": 5.0, "min": 0.0, "max": 50.0, "step": 0.01}), "spectral_mod_multiplier": ("FLOAT", {"default": 0.0, "min": -15.0, "max": 15.0, "step": 0.01}), "affect_uncond": (["None", "Sharpness"], ), "dyn_cfg_augmentation": (["None", "dyncfg-halfcosine", "dyncfg-halfcosine-mimic"], ), }, "optional": { "seed": ("INT", {"min": 0, "max": 0xffffffffffffffff}) }} RETURN_TYPES = ("MODEL",) FUNCTION = "mega_modify" CATEGORY = "clybNodes" def mega_modify(self, model, sharpness_multiplier, sharpness_method, tonemap_multiplier, tonemap_method, tonemap_percentile, contrast_multiplier, combat_method, combat_cfg_drift, rescale_cfg_phi, extra_noise_type, extra_noise_method, extra_noise_multiplier, extra_noise_lowpass, divisive_norm_size, divisive_norm_multiplier, spectral_mod_mode, spectral_mod_percentile, spectral_mod_multiplier, affect_uncond, dyn_cfg_augmentation, seed=None): gen = None rand = random if seed is not None: gen = torch.Generator(device='cpu') rand = random.Random() gen.manual_seed(seed) rand.seed(seed) def modify_latent(args): x_input = args["input"] cond = args["cond"] uncond = args["uncond"] cond_scale = args["cond_scale"] timestep = model.model.model_sampling.timestep(args["timestep"]) sigma = args["sigma"] sigma = sigma.view(sigma.shape[:1] + (1,) * (cond.ndim - 1)) #print(model.model.model_sampling.timestep(timestep)) x = x_input / (sigma * sigma + 1.0) cond = ((x - (x_input - cond)) * (sigma ** 2 + 1.0) ** 0.5) / (sigma) uncond = ((x - (x_input - uncond)) * (sigma ** 2 + 1.0) ** 0.5) / (sigma) noise_pred = (cond - uncond) # Extra noise if extra_noise_multiplier > 0: match extra_noise_type: case "gaussian": extra_noise = gen_like(torch.randn, cond, generator=gen) case "uniform": extra_noise = (gen_like(torch.rand, cond, generator=gen) - 0.5) * 2 * 1.73 case "perlin": cond_size_0 = cond.size(dim=2) cond_size_1 = cond.size(dim=3) extra_noise = perlin_noise(grid_shape=(cond_size_0, cond_size_1), out_shape=(cond_size_0, cond_size_1), batch_size=4, generator=gen).to(cond.device).unsqueeze(0) mean = torch.mean(extra_noise) std = torch.std(extra_noise) extra_noise.sub_(mean).div_(std) case "pink": extra_noise = generate_1f_noise(cond, 2, extra_noise_multiplier, generator=gen).to(cond.device) mean = torch.mean(extra_noise) std = torch.std(extra_noise) extra_noise.sub_(mean).div_(std) case "green": cond_size_0 = cond.size(dim=2) cond_size_1 = cond.size(dim=3) extra_noise = green_noise(cond_size_0, cond_size_1, generator=gen).to(cond.device) mean = torch.mean(extra_noise) std = torch.std(extra_noise) extra_noise.sub_(mean).div_(std) case "pyramid": extra_noise = pyramid_noise_like(cond) if extra_noise_lowpass > 0: extra_noise = get_low_frequency_noise(extra_noise, extra_noise_lowpass) alpha_noise = 1.0 - (timestep / 999.0)[:, None, None, None].clone() # Get alpha multiplier, lower alpha at high sigmas/high noise alpha_noise *= 0.001 * extra_noise_multiplier # User-input and weaken the strength so we don't annihilate the latent. match extra_noise_method: case "add": cond = cond + extra_noise * alpha_noise uncond = uncond - extra_noise * alpha_noise case "add_scaled": cond = cond + train_difference(cond, extra_noise, cond) * alpha_noise uncond = uncond - train_difference(uncond, extra_noise, uncond) * alpha_noise case "speckle": cond = cond + cond * extra_noise * alpha_noise uncond = uncond - uncond * extra_noise * alpha_noise case "cads": cond = add_cads_custom_noise(cond, extra_noise, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, False) uncond = add_cads_custom_noise(uncond, extra_noise, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, False) case "cads_rescaled": cond = add_cads_custom_noise(cond, extra_noise, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, True) uncond = add_cads_custom_noise(uncond, extra_noise, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, True) case "cads_speckle": cond = add_cads_custom_noise(cond, extra_noise * cond, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, False) uncond = add_cads_custom_noise(uncond, extra_noise * uncond, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, False) case "cads_speckle_rescaled": cond = add_cads_custom_noise(cond, extra_noise * cond, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, True) uncond = add_cads_custom_noise(uncond, extra_noise * uncond, timestep, 0.6, 0.9, extra_noise_multiplier / 100., 1, True) case _: print("Haven't heard of a noise method named like that before... (Couldn't find method)") if sharpness_multiplier > 0.0 or sharpness_multiplier < 0.0: match sharpness_method: case "anisotropic": degrade_func = bilateral_blur case "joint-anisotropic": degrade_func = lambda img: joint_bilateral_blur(img, (img - torch.mean(img, dim=(1, 2, 3), keepdim=True)) / torch.std(img, dim=(1, 2, 3), keepdim=True), 13, 3.0, 3.0, "reflect", "l1") case "gaussian": degrade_func = gaussian_filter_2d case "cas": degrade_func = lambda image: contrast_adaptive_sharpening(image, amount=sigma.clamp(max=1.00).item()) case _: print("For some reason, the sharpness filter could not be found.") # Sharpness alpha = 1.0 - (timestep / 999.0)[:, None, None, None].clone() # Get alpha multiplier, lower alpha at high sigmas/high noise alpha *= 0.001 * sharpness_multiplier # User-input and weaken the strength so we don't annihilate the latent. cond = degrade_func(cond) * alpha + cond * (1.0 - alpha) # Mix the modified latent with the existing latent by the alpha if affect_uncond == "Sharpness": uncond = degrade_func(uncond) * alpha + uncond * (1.0 - alpha) time_mult = 1.0 - (timestep / 999.0)[:, None, None, None].clone() noise_pred_degraded = (cond - uncond) if dyn_cfg_augmentation == "None" else dyn_cfg_modifier(cond, uncond, dyn_cfg_augmentation, cond_scale, time_mult) # New noise pred # After this point, we use `noise_pred_degraded` instead of just `cond` for the final set of calculations # Tonemap noise if tonemap_multiplier == 0: new_magnitude = 1.0 else: match tonemap_method: case "reinhard": noise_pred_vector_magnitude = (torch.linalg.vector_norm(noise_pred_degraded, dim=(1)) + 0.0000000001)[:,None] noise_pred_degraded /= noise_pred_vector_magnitude mean = torch.mean(noise_pred_vector_magnitude, dim=(1,2,3), keepdim=True) std = torch.std(noise_pred_vector_magnitude, dim=(1,2,3), keepdim=True) top = (std * 3 * (100 / tonemap_percentile) + mean) * tonemap_multiplier noise_pred_vector_magnitude *= (1.0 / top) new_magnitude = noise_pred_vector_magnitude / (noise_pred_vector_magnitude + 1.0) new_magnitude *= top noise_pred_degraded *= new_magnitude case "reinhard_perchannel": # Testing the flatten strategy flattened = noise_pred_degraded.flatten(2) noise_pred_vector_magnitude = (torch.linalg.vector_norm(flattened, dim=(2), keepdim=True) + 0.0000000001) flattened /= noise_pred_vector_magnitude mean = torch.mean(noise_pred_vector_magnitude, dim=(2), keepdim=True) top = (3 * (100 / tonemap_percentile) + mean) * tonemap_multiplier noise_pred_vector_magnitude *= (1.0 / top) new_magnitude = noise_pred_vector_magnitude / (noise_pred_vector_magnitude + 1.0) new_magnitude *= top flattened *= new_magnitude noise_pred_degraded = flattened.unflatten(2, noise_pred_degraded.shape[2:]) case "arctan": noise_pred_vector_magnitude = (torch.linalg.vector_norm(noise_pred_degraded, dim=(1)) + 0.0000000001)[:,None] noise_pred_degraded /= noise_pred_vector_magnitude noise_pred_degraded = (torch.arctan(noise_pred_degraded * tonemap_multiplier) * (1 / tonemap_multiplier)) + (noise_pred_degraded * (100 - tonemap_percentile) / 100) noise_pred_degraded *= noise_pred_vector_magnitude case "quantile": s: FloatTensor = torch.quantile( (uncond + noise_pred_degraded * cond_scale).flatten(start_dim=1).abs(), tonemap_percentile / 100, dim = -1 ) * tonemap_multiplier s.clamp_(min = 1.) s = s.reshape(*s.shape, 1, 1, 1) noise_pred_degraded = noise_pred_degraded.clamp(-s, s) / s case "gated": # https://birchlabs.co.uk/machine-learning#dynamic-thresholding-latents so based,.,.,...., latent_scale = model.model.latent_format.scale_factor latent = uncond + noise_pred_degraded * cond_scale # Get full latent from CFG formula latent /= latent_scale # Divide full CFG by latent scale (~0.13 for sdxl) flattened = latent.flatten(2) means = flattened.mean(dim=2).unsqueeze(2) centered_magnitudes = (flattened - means).abs().max() # Get highest magnitude of full CFG flattened_pred = (noise_pred_degraded / latent_scale).flatten(2) floor = 3.0560 ceil = 42. * tonemap_multiplier # as is the answer to life, unless you modify the multiplier cuz u aint a believer in life thresholded_latent = dyn_thresh_gate(flattened_pred, centered_magnitudes, tonemap_percentile / 100., floor, ceil) # Threshold if passes ceil thresholded_latent = thresholded_latent.unflatten(2, noise_pred_degraded.shape[2:]) noise_pred_degraded = thresholded_latent * latent_scale # Rescale by latent case "cfg-mimic": latent = noise_pred_degraded mimic_latent = noise_pred_degraded * tonemap_multiplier mimic_flattened = mimic_latent.flatten(2) mimic_means = mimic_flattened.mean(dim=2).unsqueeze(2) mimic_recentered = mimic_flattened - mimic_means mimic_abs = mimic_recentered.abs() mimic_max = mimic_abs.max(dim=2).values.unsqueeze(2) latent_flattened = latent.flatten(2) latent_means = latent_flattened.mean(dim=2).unsqueeze(2) latent_recentered = latent_flattened - latent_means latent_abs = latent_recentered.abs() latent_q = torch.quantile(latent_abs, tonemap_percentile / 100., dim=2).unsqueeze(2) s = torch.maximum(latent_q, mimic_max) pred_clamped = noise_pred_degraded.flatten(2).clamp(-s, s) pred_normalized = pred_clamped / s pred_renorm = pred_normalized * mimic_max pred_uncentered = pred_renorm + mimic_means # Personal choice to re-mean from the mimic here... should be latent_means. noise_pred_degraded = pred_uncentered.unflatten(2, noise_pred_degraded.shape[2:]) case "spatial-norm": #time = (1.0 - (timestep / 999.0)[:, None, None, None].clone().item()) #time = -(math.cos(time * math.pi) / (3)) + (2/3) # 0.33333 to 1.0, half cosine noise_pred_degraded = spatial_norm_chw_thresholding(noise_pred_degraded, tonemap_multiplier / 2 / cond_scale) case _: print("Could not tonemap, for the method was not found.") # Spectral Modification if spectral_mod_multiplier > 0 or spectral_mod_multiplier < 0: #alpha = 1. - (timestep / 999.0)[:, None, None, None].clone() # Get alpha multiplier, lower alpha at high sigmas/high noise #alpha = spectral_mod_multiplier# User-input and weaken the strength so we don't annihilate the latent. match spectral_mod_mode: case "hard_clamp": modulation_func = spectral_modulation case "soft_clamp": modulation_func = spectral_modulation_soft modulation_diff = modulation_func(noise_pred_degraded, spectral_mod_multiplier, spectral_mod_percentile) - noise_pred_degraded noise_pred_degraded += modulation_diff if contrast_multiplier > 0 or contrast_multiplier < 0: contrast_func = contrast # Contrast, after tonemapping, to ensure user-set contrast is expected to behave similarly across tonemapping settings alpha = 1.0 - (timestep / 999.0)[:, None, None, None].clone() alpha *= 0.001 * contrast_multiplier noise_pred_degraded = contrast_func(noise_pred_degraded) * alpha + (noise_pred_degraded) * (1.0 - alpha) # Temporary fix for contrast is to add the input? Maybe? It just doesn't work like before... # Rescale CFG if rescale_cfg_phi == 0: x_final = uncond + noise_pred_degraded * cond_scale else: x_cfg = uncond + noise_pred_degraded * cond_scale ro_pos = torch.std(cond, dim=(1,2,3), keepdim=True) ro_cfg = torch.std(x_cfg, dim=(1,2,3), keepdim=True) x_rescaled = x_cfg * (ro_pos / ro_cfg) x_final = rescale_cfg_phi * x_rescaled + (1.0 - rescale_cfg_phi) * x_cfg if combat_cfg_drift > 0 or combat_cfg_drift < 0: alpha = (1. - (timestep / 999.0)[:, None, None, None].clone()) alpha ** 0.025 # Alpha might as well be 1, but we want to protect the first steps (?). alpha = alpha.clamp_(max=1) match combat_method: case "subtract": combat_drift_func = center_latent_perchannel alpha *= combat_cfg_drift case "subtract_channels": combat_drift_func = center_0channel alpha *= combat_cfg_drift case "subtract_median": combat_drift_func = center_latent_median alpha *= combat_cfg_drift case "sharpen": combat_drift_func = channel_sharpen alpha *= combat_cfg_drift x_final = combat_drift_func(x_final) * alpha + x_final * (1.0 - alpha) # Mix the modified latent with the existing latent by the alpha if divisive_norm_multiplier > 0: alpha = 1. - (timestep / 999.0)[:, None, None, None].clone() alpha ** 0.025 # Alpha might as well be 1, but we want to protect the beginning steps (?). alpha *= divisive_norm_multiplier high_noise = divisive_normalization(x_final, (divisive_norm_size * 2) + 1) x_final = high_noise * alpha + x_final * (1.0 - alpha) return x_input - (x - x_final * sigma / (sigma * sigma + 1.0) ** 0.5) # General formula for CFG. uncond + (cond - uncond) * cond_scale m = model.clone() m.set_model_sampler_cfg_function(modify_latent) return (m, )