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chaObserv 2025-01-06 19:31:19 +08:00
parent 8a8327fa73
commit eb40f9377b
3 changed files with 23 additions and 23 deletions
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34
comfy/k_diffusion/sa_solver.py
View File

@ -17,27 +17,27 @@ def get_coefficients_exponential_positive(order, interval_start, interval_end, t
interval_start_cov = (1 + tau ** 2) * interval_start
if order == 0:
return (torch.exp(interval_end_cov)
return (torch.exp(interval_end_cov)
* (1 - torch.exp(-(interval_end_cov - interval_start_cov)))
/ ((1 + tau ** 2))
)
elif order == 1:
return (torch.exp(interval_end_cov)
return (torch.exp(interval_end_cov)
* ((interval_end_cov - 1) - (interval_start_cov - 1) * torch.exp(-(interval_end_cov - interval_start_cov)))
/ ((1 + tau ** 2) ** 2)
)
elif order == 2:
return (torch.exp(interval_end_cov)
* ((interval_end_cov ** 2 - 2 * interval_end_cov + 2)
- (interval_start_cov ** 2 - 2 * interval_start_cov + 2)
return (torch.exp(interval_end_cov)
* ((interval_end_cov ** 2 - 2 * interval_end_cov + 2)
- (interval_start_cov ** 2 - 2 * interval_start_cov + 2)
* torch.exp(-(interval_end_cov - interval_start_cov))
)
/ ((1 + tau ** 2) ** 3)
)
elif order == 3:
return (torch.exp(interval_end_cov)
return (torch.exp(interval_end_cov)
* ((interval_end_cov ** 3 - 3 * interval_end_cov ** 2 + 6 * interval_end_cov - 6)
- (interval_start_cov ** 3 - 3 * interval_start_cov ** 2 + 6 * interval_start_cov - 6)
- (interval_start_cov ** 3 - 3 * interval_start_cov ** 2 + 6 * interval_start_cov - 6)
* torch.exp(-(interval_end_cov - interval_start_cov))
)
/ ((1 + tau ** 2) ** 4)
@ -53,7 +53,7 @@ def lagrange_polynomial_coefficient(order, lambda_list):
if order == 0:
return [[1.0]]
elif order == 1:
return [[1.0 / (lambda_list[0] - lambda_list[1]), -lambda_list[1] / (lambda_list[0] - lambda_list[1])],
return [[1.0 / (lambda_list[0] - lambda_list[1]), -lambda_list[1] / (lambda_list[0] - lambda_list[1])],
[1.0 / (lambda_list[1] - lambda_list[0]), -lambda_list[0] / (lambda_list[1] - lambda_list[0])]]
elif order == 2:
denominator1 = (lambda_list[0] - lambda_list[1]) * (lambda_list[0] - lambda_list[2])
@ -79,12 +79,12 @@ def lagrange_polynomial_coefficient(order, lambda_list):
(-lambda_list[0] * lambda_list[2] * lambda_list[3]) / denominator2],
[1.0 / denominator3,
(-lambda_list[0] - lambda_list[1] - lambda_list[3]) / denominator3,
(lambda_list[0] * lambda_list[1] + lambda_list[0] * lambda_list[3] + lambda_list[1] * lambda_list[3]) / denominator3,
(-lambda_list[0] - lambda_list[1] - lambda_list[3]) / denominator3,
(lambda_list[0] * lambda_list[1] + lambda_list[0] * lambda_list[3] + lambda_list[1] * lambda_list[3]) / denominator3,
(-lambda_list[0] * lambda_list[1] * lambda_list[3]) / denominator3],
[1.0 / denominator4,
(-lambda_list[0] - lambda_list[1] - lambda_list[2]) / denominator4,
(-lambda_list[0] - lambda_list[1] - lambda_list[2]) / denominator4,
(lambda_list[0] * lambda_list[1] + lambda_list[0] * lambda_list[2] + lambda_list[1] * lambda_list[2]) / denominator4,
(-lambda_list[0] * lambda_list[1] * lambda_list[2]) / denominator4]
]
@ -122,11 +122,11 @@ def adams_bashforth_update_few_steps(order, x, tau, model_prev_list, sigma_prev_
# ODE case
# gradient_coefficients[0] += 1.0 * torch.exp(lambda_t) * (h ** 2 / 2 - (h - 1 + torch.exp(-h))) / (ns.marginal_lambda(t_prev_list[-1]) - ns.marginal_lambda(t_prev_list[-2]))
# gradient_coefficients[1] -= 1.0 * torch.exp(lambda_t) * (h ** 2 / 2 - (h - 1 + torch.exp(-h))) / (ns.marginal_lambda(t_prev_list[-1]) - ns.marginal_lambda(t_prev_list[-2]))
gradient_coefficients[0] += (1.0 * torch.exp((1 + tau ** 2) * lambda_t)
* (h ** 2 / 2 - (h * (1 + tau ** 2) - 1 + torch.exp((1 + tau ** 2) * (-h))) / ((1 + tau ** 2) ** 2))
gradient_coefficients[0] += (1.0 * torch.exp((1 + tau ** 2) * lambda_t)
* (h ** 2 / 2 - (h * (1 + tau ** 2) - 1 + torch.exp((1 + tau ** 2) * (-h))) / ((1 + tau ** 2) ** 2))
/ (lambda_prev - lambda_list[1])
)
gradient_coefficients[1] -= (1.0 * torch.exp((1 + tau ** 2) * lambda_t)
gradient_coefficients[1] -= (1.0 * torch.exp((1 + tau ** 2) * lambda_t)
* (h ** 2 / 2 - (h * (1 + tau ** 2) - 1 + torch.exp((1 + tau ** 2) * (-h))) / ((1 + tau ** 2) ** 2))
/ (lambda_prev - lambda_list[1])
)
@ -152,7 +152,7 @@ def adams_moulton_update_few_steps(order, x, tau, model_prev_list, sigma_prev_li
lambda_prev = lambda_list[1] if order >= 2 else t_fn(sigma_prev)
h = lambda_t - lambda_prev
gradient_coefficients = get_coefficients_fn(order, lambda_prev, lambda_t, lambda_list, tau)
if order == 2: ## if order = 2 we do a modification that does not influence the convergence order similar to UniPC. Note: This is used only for few steps sampling.
# The added term is O(h^3). Empirically we find it will slightly improve the image quality.
# ODE case
@ -166,7 +166,7 @@ def adams_moulton_update_few_steps(order, x, tau, model_prev_list, sigma_prev_li
* (h / 2 - (h * (1 + tau ** 2) - 1 + torch.exp((1 + tau ** 2) * (-h)))
/ ((1 + tau ** 2) ** 2 * h))
)
for i in range(order):
gradient_part += gradient_coefficients[i] * model_prev_list[-(i + 1)]
gradient_part *= (1 + tau ** 2) * sigma * torch.exp(- tau ** 2 * lambda_t)
@ -178,4 +178,4 @@ def default_tau_func(sigma, eta, eta_start_sigma, eta_end_sigma):
if eta == 0:
# Pure ODE
return 0
return eta if eta_end_sigma <= sigma <= eta_start_sigma else 0
return eta if eta_end_sigma <= sigma <= eta_start_sigma else 0

10
comfy/k_diffusion/sampling.py
View File

@ -1146,7 +1146,7 @@ def sample_deis(model, x, sigmas, extra_args=None, callback=None, disable=None,
def sample_sa_solver(model, x, sigmas, extra_args=None, callback=None, disable=False, predictor_order=3, corrector_order=4, pc_mode="PEC", tau_func=None, noise_sampler=None):
if len(sigmas) <= 1:
return x
extra_args = {} if extra_args is None else extra_args
if tau_func is None:
model_sampling = model.inner_model.model_patcher.get_model_object('model_sampling')
@ -1172,7 +1172,7 @@ def sample_sa_solver(model, x, sigmas, extra_args=None, callback=None, disable=F
# Lower order final
predictor_order_used = min(predictor_order, i, len(sigmas) - i - 1)
corrector_order_used = min(corrector_order, i + 1, len(sigmas) - i + 1)
tau_val = tau(sigma)
noise = None if tau_val == 0 else noise_sampler(sigma, sigmas[i + 1])
@ -1183,13 +1183,13 @@ def sample_sa_solver(model, x, sigmas, extra_args=None, callback=None, disable=F
# Evaluation step
denoised = model(x_p, sigma * s_in, **extra_args)
model_prev_list.append(denoised)
model_prev_list.append(denoised)
# Corrector step
if corrector_order_used > 0:
x = sa_solver.adams_moulton_update_few_steps(order=corrector_order_used, x=x, tau=tau_val,
model_prev_list=model_prev_list, sigma_prev_list=sigma_prev_list,
noise=noise, sigma=sigma)
noise=noise, sigma=sigma)
else:
x = x_p
@ -1205,7 +1205,7 @@ def sample_sa_solver(model, x, sigmas, extra_args=None, callback=None, disable=F
if len(model_prev_list) > max(predictor_order, corrector_order):
del model_prev_list[0]
del sigma_prev_list[0]
if callback is not None:
callback({'x': x, 'i': i, 'denoised': model_prev_list[-1]})

2
comfy_extras/nodes_custom_sampler.py
View File

@ -435,7 +435,7 @@ class SamplerSASolver:
start_sigma = model_sampling.percent_to_sigma(eta_start_percent)
end_sigma = model_sampling.percent_to_sigma(eta_end_percent)
tau_func = partial(sa_solver.default_tau_func, eta=eta, eta_start_sigma=start_sigma, eta_end_sigma=end_sigma)
if pc_mode == 'PEC':
sampler_name = "sa_solver"
else: