in run_nerf_helpers.py [0:0]
def sample_pdf(bins, weights, N_samples, det=False, pytest=False):
device = weights.get_device()
# Get pdf
weights = weights + 1e-5 # prevent nans
pdf = weights / torch.sum(weights, -1, keepdim=True)
cdf = torch.cumsum(pdf, -1)
cdf = torch.cat(
[torch.zeros_like(cdf[..., :1], device=device), cdf], -1
) # (batch, len(bins))
# Take uniform samples
if det:
u = torch.linspace(0.0, 1.0, steps=N_samples, device=device)
u = u.expand(list(cdf.shape[:-1]) + [N_samples])
else:
u = torch.rand(list(cdf.shape[:-1]) + [N_samples], device=device)
# Pytest, overwrite u with numpy's fixed random numbers
if pytest:
np.random.seed(0)
new_shape = list(cdf.shape[:-1]) + [N_samples]
if det:
u = np.linspace(0.0, 1.0, N_samples)
u = np.broadcast_to(u, new_shape)
else:
u = np.random.rand(*new_shape)
u = torch.Tensor(u).to(device)
# Invert CDF
u = u.contiguous()
inds = torch.searchsorted(cdf.detach(), u, right=False)
below = torch.max(torch.zeros_like(inds - 1, device=device), inds - 1)
above = torch.min((cdf.shape[-1] - 1) * torch.ones_like(inds, device=device), inds)
inds_g = torch.stack([below, above], -1) # (batch, N_samples, 2)
# cdf_g = tf.gather(cdf, inds_g, axis=-1, batch_dims=len(inds_g.shape)-2)
# bins_g = tf.gather(bins, inds_g, axis=-1, batch_dims=len(inds_g.shape)-2)
matched_shape = [inds_g.shape[0], inds_g.shape[1], cdf.shape[-1]]
cdf_g = torch.gather(cdf.unsqueeze(1).expand(matched_shape), 2, inds_g)
bins_g = torch.gather(bins.unsqueeze(1).expand(matched_shape), 2, inds_g)
denom = cdf_g[..., 1] - cdf_g[..., 0]
denom = torch.where(denom < 1e-5, torch.ones_like(denom, device=device), denom)
t = (u - cdf_g[..., 0]) / denom
samples = bins_g[..., 0] + t * (bins_g[..., 1] - bins_g[..., 0])
return samples