from functools import partial
import numpy as np
import torch
import torch.nn.functional as F
from torch import nn
from tqdm import tqdm
from sam_diffsr.utils_sr.plt_img import plt_tensor_img
from .module_util import default
from sam_diffsr.utils_sr.sr_utils import SSIM
from sam_diffsr.utils_sr.hparams import hparams
# gaussian diffusion trainer class
def extract(a, t, x_shape):
b, *_ = t.shape
out = a.gather(-1, t)
return out.reshape(b, *((1,) * (len(x_shape) - 1)))
def noise_like(shape, device, repeat=False):
repeat_noise = lambda: torch.randn((1, *shape[1:]), device=device).repeat(shape[0], *((1,) * (len(shape) - 1)))
noise = lambda: torch.randn(shape, device=device)
return repeat_noise() if repeat else noise()
def _warmup_beta(beta_start, beta_end, num_diffusion_timesteps, warmup_frac):
betas = beta_end * np.ones(num_diffusion_timesteps, dtype=np.float64)
warmup_time = int(num_diffusion_timesteps * warmup_frac)
betas[:warmup_time] = np.linspace(beta_start, beta_end, warmup_time, dtype=np.float64)
return betas
def get_beta_schedule(num_diffusion_timesteps, beta_schedule='linear', beta_start=0.0001, beta_end=0.02):
if beta_schedule == 'quad':
betas = np.linspace(beta_start ** 0.5, beta_end ** 0.5, num_diffusion_timesteps, dtype=np.float64) ** 2
elif beta_schedule == 'linear':
betas = np.linspace(beta_start, beta_end, num_diffusion_timesteps, dtype=np.float64)
elif beta_schedule == 'warmup10':
betas = _warmup_beta(beta_start, beta_end, num_diffusion_timesteps, 0.1)
elif beta_schedule == 'warmup50':
betas = _warmup_beta(beta_start, beta_end, num_diffusion_timesteps, 0.5)
elif beta_schedule == 'const':
betas = beta_end * np.ones(num_diffusion_timesteps, dtype=np.float64)
elif beta_schedule == 'jsd': # 1/T, 1/(T-1), 1/(T-2), ..., 1
betas = 1. / np.linspace(num_diffusion_timesteps, 1, num_diffusion_timesteps, dtype=np.float64)
else:
raise NotImplementedError(beta_schedule)
assert betas.shape == (num_diffusion_timesteps,)
return betas
def cosine_beta_schedule(timesteps, s=0.008):
"""
cosine schedule
as proposed in https://openreview.net/forum?id=-NEXDKk8gZ
"""
steps = timesteps + 1
x = np.linspace(0, steps, steps)
alphas_cumprod = np.cos(((x / steps) + s) / (1 + s) * np.pi * 0.5) ** 2
alphas_cumprod = alphas_cumprod / alphas_cumprod[0]
betas = 1 - (alphas_cumprod[1:] / alphas_cumprod[:-1])
return np.clip(betas, a_min=0, a_max=0.999)
class GaussianDiffusion(nn.Module):
def __init__(self, denoise_fn, rrdb_net, timesteps=1000, loss_type='l1'):
super().__init__()
self.denoise_fn = denoise_fn
# condition net
self.rrdb = rrdb_net
self.ssim_loss = SSIM(window_size=11)
if hparams['beta_schedule'] == 'cosine':
betas = cosine_beta_schedule(timesteps, s=hparams['beta_s'])
if hparams['beta_schedule'] == 'linear':
betas = get_beta_schedule(timesteps, beta_end=hparams['beta_end'])
if hparams['res']:
betas[-1] = 0.999
alphas = 1. - betas
alphas_cumprod = np.cumprod(alphas, axis=0)
alphas_cumprod_prev = np.append(1., alphas_cumprod[:-1])
timesteps, = betas.shape
self.num_timesteps = int(timesteps)
self.loss_type = loss_type
to_torch = partial(torch.tensor, dtype=torch.float32)
self.register_buffer('betas', to_torch(betas))
self.register_buffer('alphas_cumprod', to_torch(alphas_cumprod))
self.register_buffer('alphas_cumprod_prev', to_torch(alphas_cumprod_prev))
# calculations for diffusion q(x_t | x_{t-1}) and others
self.register_buffer('sqrt_alphas_cumprod', to_torch(np.sqrt(alphas_cumprod)))
self.register_buffer('sqrt_one_minus_alphas_cumprod', to_torch(np.sqrt(1. - alphas_cumprod)))
self.register_buffer('log_one_minus_alphas_cumprod', to_torch(np.log(1. - alphas_cumprod)))
self.register_buffer('sqrt_recip_alphas_cumprod', to_torch(np.sqrt(1. / alphas_cumprod)))
self.register_buffer('sqrt_recipm1_alphas_cumprod', to_torch(np.sqrt(1. / alphas_cumprod - 1)))
# calculations for posterior q(x_{t-1} | x_t, x_0)
posterior_variance = betas * (1. - alphas_cumprod_prev) / (1. - alphas_cumprod)
# above: equal to 1. / (1. / (1. - alpha_cumprod_tm1) + alpha_t / beta_t)
self.register_buffer('posterior_variance', to_torch(posterior_variance))
# below: log calculation clipped because the posterior variance is 0 at the beginning of the diffusion chain
self.register_buffer('posterior_log_variance_clipped', to_torch(np.log(np.maximum(posterior_variance, 1e-20))))
self.register_buffer('posterior_mean_coef1', to_torch(
betas * np.sqrt(alphas_cumprod_prev) / (1. - alphas_cumprod)))
self.register_buffer('posterior_mean_coef2', to_torch(
(1. - alphas_cumprod_prev) * np.sqrt(alphas) / (1. - alphas_cumprod)))
self.sample_tqdm = True
self.mask_coefficient = to_torch(np.sqrt(1. - alphas_cumprod) * betas)
def q_mean_variance(self, x_start, t):
mean = extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start
variance = extract(1. - self.alphas_cumprod, t, x_start.shape)
log_variance = extract(self.log_one_minus_alphas_cumprod, t, x_start.shape)
return mean, variance, log_variance
def predict_start_from_noise(self, x_t, t, noise):
return (
extract(self.sqrt_recip_alphas_cumprod, t, x_t.shape) * x_t -
extract(self.sqrt_recipm1_alphas_cumprod, t, x_t.shape) * noise
)
def q_posterior(self, x_start, x_t, t):
posterior_mean = (
extract(self.posterior_mean_coef1, t, x_t.shape) * x_start +
extract(self.posterior_mean_coef2, t, x_t.shape) * x_t
)
posterior_variance = extract(self.posterior_variance, t, x_t.shape)
posterior_log_variance_clipped = extract(self.posterior_log_variance_clipped, t, x_t.shape)
return posterior_mean, posterior_variance, posterior_log_variance_clipped
def p_mean_variance(self, x, t, noise_pred, clip_denoised: bool):
x_recon = self.predict_start_from_noise(x, t=t, noise=noise_pred)
if clip_denoised:
x_recon.clamp_(-1.0, 1.0)
model_mean, posterior_variance, posterior_log_variance = self.q_posterior(x_start=x_recon, x_t=x, t=t)
return model_mean, posterior_variance, posterior_log_variance, x_recon
def forward(self, img_hr, img_lr, img_lr_up, t=None, *args, **kwargs):
x = img_hr
b, *_, device = *x.shape, x.device
t = torch.randint(0, self.num_timesteps, (b,), device=device).long() \
if t is None else torch.LongTensor([t]).repeat(b).to(device)
if hparams['use_rrdb']:
if hparams['fix_rrdb']:
self.rrdb.eval()
with torch.no_grad():
rrdb_out, cond = self.rrdb(img_lr, True)
else:
rrdb_out, cond = self.rrdb(img_lr, True)
else:
rrdb_out = img_lr_up
cond = img_lr
x = self.img2res(x, img_lr_up)
p_losses, x_tp1, noise_pred, x_t, x_t_gt, x_0 = self.p_losses(x, t, cond, img_lr_up, *args, **kwargs)
ret = {'q': p_losses}
if not hparams['fix_rrdb']:
if hparams['aux_l1_loss']:
ret['aux_l1'] = F.l1_loss(rrdb_out, img_hr)
if hparams['aux_ssim_loss']:
ret['aux_ssim'] = 1 - self.ssim_loss(rrdb_out, img_hr)
if hparams['aux_percep_loss']:
ret['aux_percep'] = self.percep_loss_fn[0](img_hr, rrdb_out)
x_tp1 = self.res2img(x_tp1, img_lr_up)
x_t = self.res2img(x_t, img_lr_up)
x_t_gt = self.res2img(x_t_gt, img_lr_up)
return ret, (x_tp1, x_t_gt, x_t), t
def p_losses(self, x_start, t, cond, img_lr_up, noise=None):
noise = default(noise, lambda: torch.randn_like(x_start))
x_tp1_gt = self.q_sample(x_start=x_start, t=t, noise=noise)
x_t_gt = self.q_sample(x_start=x_start, t=t - 1, noise=noise)
noise_pred = self.denoise_fn(x_tp1_gt, t, cond, img_lr_up)
x_t_pred, x0_pred = self.p_sample(x_tp1_gt, t, cond, img_lr_up, noise_pred=noise_pred)
if self.loss_type == 'l1':
loss = (noise - noise_pred).abs().mean()
elif self.loss_type == 'l2':
loss = F.mse_loss(noise, noise_pred)
elif self.loss_type == 'ssim':
loss = (noise - noise_pred).abs().mean()
loss = loss + (1 - self.ssim_loss(noise, noise_pred))
else:
raise NotImplementedError()
return loss, x_tp1_gt, noise_pred, x_t_pred, x_t_gt, x0_pred
def q_sample(self, x_start, t, noise=None):
noise = default(noise, lambda: torch.randn_like(x_start))
t_cond = (t[:, None, None, None] >= 0).float()
t = t.clamp_min(0)
return (
extract(self.sqrt_alphas_cumprod, t, x_start.shape) * x_start +
extract(self.sqrt_one_minus_alphas_cumprod, t, x_start.shape) * noise
) * t_cond + x_start * (1 - t_cond)
@torch.no_grad()
def p_sample(self, x, t, cond, img_lr_up, noise_pred=None, clip_denoised=True, repeat_noise=False):
if noise_pred is None:
noise_pred = self.denoise_fn(x, t, cond=cond, img_lr_up=img_lr_up)
b, *_, device = *x.shape, x.device
model_mean, _, model_log_variance, x0_pred = self.p_mean_variance(
x=x, t=t, noise_pred=noise_pred, clip_denoised=clip_denoised)
noise = noise_like(x.shape, device, repeat_noise)
# no noise when t == 0
nonzero_mask = (1 - (t == 0).float()).reshape(b, *((1,) * (len(x.shape) - 1)))
return model_mean + nonzero_mask * (0.5 * model_log_variance).exp() * noise, x0_pred
@torch.no_grad()
def sample(self, img_lr, img_lr_up, shape, save_intermediate=False):
device = self.betas.device
b = shape[0]
if not hparams['res']:
t = torch.full((b,), self.num_timesteps - 1, device=device, dtype=torch.long)
img = self.q_sample(img_lr_up, t)
else:
img = torch.randn(shape, device=device)
if hparams['use_rrdb']:
rrdb_out, cond = self.rrdb(img_lr, True)
else:
rrdb_out = img_lr_up
cond = img_lr
it = reversed(range(0, self.num_timesteps))
if self.sample_tqdm:
it = tqdm(it, desc='sampling loop time step', total=self.num_timesteps)
images = []
for i in it:
img, x_recon = self.p_sample(
img, torch.full((b,), i, device=device, dtype=torch.long), cond, img_lr_up)
if save_intermediate:
img_ = self.res2img(img, img_lr_up)
x_recon_ = self.res2img(x_recon, img_lr_up)
images.append((img_.cpu(), x_recon_.cpu()))
img = self.res2img(img, img_lr_up)
if save_intermediate:
return img, rrdb_out, images
else:
return img, rrdb_out
@torch.no_grad()
def interpolate(self, x1, x2, img_lr, img_lr_up, t=None, lam=0.5):
b, *_, device = *x1.shape, x1.device
t = default(t, self.num_timesteps - 1)
if hparams['use_rrdb']:
rrdb_out, cond = self.rrdb(img_lr, True)
else:
cond = img_lr
assert x1.shape == x2.shape
x1 = self.img2res(x1, img_lr_up)
x2 = self.img2res(x2, img_lr_up)
t_batched = torch.stack([torch.tensor(t, device=device)] * b)
xt1, xt2 = map(lambda x: self.q_sample(x, t=t_batched), (x1, x2))
img = (1 - lam) * xt1 + lam * xt2
for i in tqdm(reversed(range(0, t)), desc='interpolation sample time step', total=t):
img, x_recon = self.p_sample(
img, torch.full((b,), i, device=device, dtype=torch.long), cond, img_lr_up)
img = self.res2img(img, img_lr_up)
return img
def res2img(self, img_, img_lr_up, clip_input=None):
if clip_input is None:
clip_input = hparams['clip_input']
if hparams['res']:
if clip_input:
img_ = img_.clamp(-1, 1)
img_ = img_ / hparams['res_rescale'] + img_lr_up
return img_
def img2res(self, x, img_lr_up, clip_input=None):
if clip_input is None:
clip_input = hparams['clip_input']
if hparams['res']:
x = (x - img_lr_up) * hparams['res_rescale']
if clip_input:
x = x.clamp(-1, 1)
return x