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"""
Partially ported from https://github.com/crowsonkb/k-diffusion/blob/master/k_diffusion/sampling.py
"""
from typing import Dict, Union
import torch
from omegaconf import ListConfig, OmegaConf
from tqdm import tqdm
from ...modules.diffusionmodules.sampling_utils import (
get_ancestral_step,
linear_multistep_coeff,
to_d,
to_neg_log_sigma,
to_sigma,
)
from ...util import append_dims, default, instantiate_from_config
DEFAULT_GUIDER = {"target": "sgm.modules.diffusionmodules.guiders.IdentityGuider"}
class BaseDiffusionSampler:
def __init__(
self,
discretization_config: Union[Dict, ListConfig, OmegaConf],
num_steps: Union[int, None] = None,
guider_config: Union[Dict, ListConfig, OmegaConf, None] = None,
verbose: bool = False,
device: str = "cuda",
):
self.num_steps = num_steps
self.discretization = instantiate_from_config(discretization_config)
self.guider = instantiate_from_config(
default(
guider_config,
DEFAULT_GUIDER,
)
)
self.verbose = verbose
self.device = device
def prepare_sampling_loop(self, x, cond, uc=None, num_steps=None):
sigmas = self.discretization(
self.num_steps if num_steps is None else num_steps, device=self.device
)
uc = default(uc, cond)
x *= torch.sqrt(1.0 + sigmas[0] ** 2.0)
num_sigmas = len(sigmas)
s_in = x.new_ones([x.shape[0]])
return x, s_in, sigmas, num_sigmas, cond, uc
def denoise(self, x, denoiser, sigma, cond, uc):
denoised = denoiser(*self.guider.prepare_inputs(x, sigma, cond, uc))
denoised = self.guider(denoised, sigma)
return denoised
def get_sigma_gen(self, num_sigmas):
sigma_generator = range(num_sigmas - 1)
if self.verbose:
print("#" * 30, " Sampling setting ", "#" * 30)
print(f"Sampler: {self.__class__.__name__}")
print(f"Discretization: {self.discretization.__class__.__name__}")
print(f"Guider: {self.guider.__class__.__name__}")
sigma_generator = tqdm(
sigma_generator,
total=num_sigmas,
desc=f"Sampling with {self.__class__.__name__} for {num_sigmas} steps",
)
return sigma_generator
class SingleStepDiffusionSampler(BaseDiffusionSampler):
def sampler_step(self, sigma, next_sigma, denoiser, x, cond, uc, *args, **kwargs):
raise NotImplementedError
def euler_step(self, x, d, dt):
return x + dt * d
class EDMSampler(SingleStepDiffusionSampler):
def __init__(
self, s_churn=0.0, s_tmin=0.0, s_tmax=float("inf"), s_noise=1.0, *args, **kwargs
):
super().__init__(*args, **kwargs)
self.s_churn = s_churn
self.s_tmin = s_tmin
self.s_tmax = s_tmax
self.s_noise = s_noise
def sampler_step(self, sigma, next_sigma, denoiser, x, cond, uc=None, gamma=0.0):
sigma_hat = sigma * (gamma + 1.0)
if gamma > 0:
eps = torch.randn_like(x) * self.s_noise
x = x + eps * append_dims(sigma_hat**2 - sigma**2, x.ndim) ** 0.5
denoised = self.denoise(x, denoiser, sigma_hat, cond, uc)
d = to_d(x, sigma_hat, denoised)
dt = append_dims(next_sigma - sigma_hat, x.ndim)
euler_step = self.euler_step(x, d, dt)
x = self.possible_correction_step(
euler_step, x, d, dt, next_sigma, denoiser, cond, uc
)
return x
def __call__(self, denoiser, x, cond, uc=None, num_steps=None):
x, s_in, sigmas, num_sigmas, cond, uc = self.prepare_sampling_loop(
x, cond, uc, num_steps
)
for i in self.get_sigma_gen(num_sigmas):
gamma = (
min(self.s_churn / (num_sigmas - 1), 2**0.5 - 1)
if self.s_tmin <= sigmas[i] <= self.s_tmax
else 0.0
)
x = self.sampler_step(
s_in * sigmas[i],
s_in * sigmas[i + 1],
denoiser,
x,
cond,
uc,
gamma,
)
return x
class AncestralSampler(SingleStepDiffusionSampler):
def __init__(self, eta=1.0, s_noise=1.0, *args, **kwargs):
super().__init__(*args, **kwargs)
self.eta = eta
self.s_noise = s_noise
self.noise_sampler = lambda x: torch.randn_like(x)
def ancestral_euler_step(self, x, denoised, sigma, sigma_down):
d = to_d(x, sigma, denoised)
dt = append_dims(sigma_down - sigma, x.ndim)
return self.euler_step(x, d, dt)
def ancestral_step(self, x, sigma, next_sigma, sigma_up):
x = torch.where(
append_dims(next_sigma, x.ndim) > 0.0,
x + self.noise_sampler(x) * self.s_noise * append_dims(sigma_up, x.ndim),
x,
)
return x
def __call__(self, denoiser, x, cond, uc=None, num_steps=None):
x, s_in, sigmas, num_sigmas, cond, uc = self.prepare_sampling_loop(
x, cond, uc, num_steps
)
for i in self.get_sigma_gen(num_sigmas):
x = self.sampler_step(
s_in * sigmas[i],
s_in * sigmas[i + 1],
denoiser,
x,
cond,
uc,
)
return x
class LinearMultistepSampler(BaseDiffusionSampler):
def __init__(
self,
order=4,
*args,
**kwargs,
):
super().__init__(*args, **kwargs)
self.order = order
def __call__(self, denoiser, x, cond, uc=None, num_steps=None, **kwargs):
x, s_in, sigmas, num_sigmas, cond, uc = self.prepare_sampling_loop(
x, cond, uc, num_steps
)
ds = []
sigmas_cpu = sigmas.detach().cpu().numpy()
for i in self.get_sigma_gen(num_sigmas):
sigma = s_in * sigmas[i]
denoised = denoiser(
*self.guider.prepare_inputs(x, sigma, cond, uc), **kwargs
)
denoised = self.guider(denoised, sigma)
d = to_d(x, sigma, denoised)
ds.append(d)
if len(ds) > self.order:
ds.pop(0)
cur_order = min(i + 1, self.order)
coeffs = [
linear_multistep_coeff(cur_order, sigmas_cpu, i, j)
for j in range(cur_order)
]
x = x + sum(coeff * d for coeff, d in zip(coeffs, reversed(ds)))
return x
class EulerEDMSampler(EDMSampler):
def possible_correction_step(
self, euler_step, x, d, dt, next_sigma, denoiser, cond, uc
):
return euler_step
class HeunEDMSampler(EDMSampler):
def possible_correction_step(
self, euler_step, x, d, dt, next_sigma, denoiser, cond, uc
):
if torch.sum(next_sigma) < 1e-14:
# Save a network evaluation if all noise levels are 0
return euler_step
else:
denoised = self.denoise(euler_step, denoiser, next_sigma, cond, uc)
d_new = to_d(euler_step, next_sigma, denoised)
d_prime = (d + d_new) / 2.0
# apply correction if noise level is not 0
x = torch.where(
append_dims(next_sigma, x.ndim) > 0.0, x + d_prime * dt, euler_step
)
return x
class EulerAncestralSampler(AncestralSampler):
def sampler_step(self, sigma, next_sigma, denoiser, x, cond, uc):
sigma_down, sigma_up = get_ancestral_step(sigma, next_sigma, eta=self.eta)
denoised = self.denoise(x, denoiser, sigma, cond, uc)
x = self.ancestral_euler_step(x, denoised, sigma, sigma_down)
x = self.ancestral_step(x, sigma, next_sigma, sigma_up)
return x
class DPMPP2SAncestralSampler(AncestralSampler):
def get_variables(self, sigma, sigma_down):
t, t_next = [to_neg_log_sigma(s) for s in (sigma, sigma_down)]
h = t_next - t
s = t + 0.5 * h
return h, s, t, t_next
def get_mult(self, h, s, t, t_next):
mult1 = to_sigma(s) / to_sigma(t)
mult2 = (-0.5 * h).expm1()
mult3 = to_sigma(t_next) / to_sigma(t)
mult4 = (-h).expm1()
return mult1, mult2, mult3, mult4
def sampler_step(self, sigma, next_sigma, denoiser, x, cond, uc=None, **kwargs):
sigma_down, sigma_up = get_ancestral_step(sigma, next_sigma, eta=self.eta)
denoised = self.denoise(x, denoiser, sigma, cond, uc)
x_euler = self.ancestral_euler_step(x, denoised, sigma, sigma_down)
if torch.sum(sigma_down) < 1e-14:
# Save a network evaluation if all noise levels are 0
x = x_euler
else:
h, s, t, t_next = self.get_variables(sigma, sigma_down)
mult = [
append_dims(mult, x.ndim) for mult in self.get_mult(h, s, t, t_next)
]
x2 = mult[0] * x - mult[1] * denoised
denoised2 = self.denoise(x2, denoiser, to_sigma(s), cond, uc)
x_dpmpp2s = mult[2] * x - mult[3] * denoised2
# apply correction if noise level is not 0
x = torch.where(append_dims(sigma_down, x.ndim) > 0.0, x_dpmpp2s, x_euler)
x = self.ancestral_step(x, sigma, next_sigma, sigma_up)
return x
class DPMPP2MSampler(BaseDiffusionSampler):
def get_variables(self, sigma, next_sigma, previous_sigma=None):
t, t_next = [to_neg_log_sigma(s) for s in (sigma, next_sigma)]
h = t_next - t
if previous_sigma is not None:
h_last = t - to_neg_log_sigma(previous_sigma)
r = h_last / h
return h, r, t, t_next
else:
return h, None, t, t_next
def get_mult(self, h, r, t, t_next, previous_sigma):
mult1 = to_sigma(t_next) / to_sigma(t)
mult2 = (-h).expm1()
if previous_sigma is not None:
mult3 = 1 + 1 / (2 * r)
mult4 = 1 / (2 * r)
return mult1, mult2, mult3, mult4
else:
return mult1, mult2
def sampler_step(
self,
old_denoised,
previous_sigma,
sigma,
next_sigma,
denoiser,
x,
cond,
uc=None,
):
denoised = self.denoise(x, denoiser, sigma, cond, uc)
h, r, t, t_next = self.get_variables(sigma, next_sigma, previous_sigma)
mult = [
append_dims(mult, x.ndim)
for mult in self.get_mult(h, r, t, t_next, previous_sigma)
]
x_standard = mult[0] * x - mult[1] * denoised
if old_denoised is None or torch.sum(next_sigma) < 1e-14:
# Save a network evaluation if all noise levels are 0 or on the first step
return x_standard, denoised
else:
denoised_d = mult[2] * denoised - mult[3] * old_denoised
x_advanced = mult[0] * x - mult[1] * denoised_d
# apply correction if noise level is not 0 and not first step
x = torch.where(
append_dims(next_sigma, x.ndim) > 0.0, x_advanced, x_standard
)
return x, denoised
def __call__(self, denoiser, x, cond, uc=None, num_steps=None, **kwargs):
x, s_in, sigmas, num_sigmas, cond, uc = self.prepare_sampling_loop(
x, cond, uc, num_steps
)
old_denoised = None
for i in self.get_sigma_gen(num_sigmas):
x, old_denoised = self.sampler_step(
old_denoised,
None if i == 0 else s_in * sigmas[i - 1],
s_in * sigmas[i],
s_in * sigmas[i + 1],
denoiser,
x,
cond,
uc=uc,
)
return x
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