Skip to content
Open
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
31 changes: 28 additions & 3 deletions torch_dct/_dct.py
Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,30 @@
import torch
import torch.nn as nn

try:
# PyTorch 1.7.0 and newer versions
import torch.fft

def dct1_rfft_impl(x):
return torch.view_as_real(torch.fft.rfft(x, dim=1))

def dct_fft_impl(v):
return torch.view_as_real(torch.fft.fft(v, dim=1))

def idct_irfft_impl(V):
return torch.fft.irfft(torch.view_as_complex(V), n=V.shape[1], dim=1)
except ImportError:
# PyTorch 1.6.0 and older versions
def dct1_rfft_impl(x):
return torch.rfft(x, 1)

def dct_fft_impl(v):
return torch.rfft(v, 1, onesided=False)

def idct_irfft_impl(V):
return torch.irfft(V, 1, onesided=False)



def dct1(x):
"""
Expand All @@ -12,8 +36,9 @@ def dct1(x):
"""
x_shape = x.shape
x = x.view(-1, x_shape[-1])
x = torch.cat([x, x.flip([1])[:, 1:-1]], dim=1)

return torch.rfft(torch.cat([x, x.flip([1])[:, 1:-1]], dim=1), 1)[:, :, 0].view(*x_shape)
return dct1_rfft_impl(x)[:, :, 0].view(*x_shape)


def idct1(X):
Expand Down Expand Up @@ -46,7 +71,7 @@ def dct(x, norm=None):

v = torch.cat([x[:, ::2], x[:, 1::2].flip([1])], dim=1)

Vc = torch.rfft(v, 1, onesided=False)
Vc = dct_fft_impl(v)

k = - torch.arange(N, dtype=x.dtype, device=x.device)[None, :] * np.pi / (2 * N)
W_r = torch.cos(k)
Expand Down Expand Up @@ -98,7 +123,7 @@ def idct(X, norm=None):

V = torch.cat([V_r.unsqueeze(2), V_i.unsqueeze(2)], dim=2)

v = torch.irfft(V, 1, onesided=False)
v = idct_irfft_impl(V)
x = v.new_zeros(v.shape)
x[:, ::2] += v[:, :N - (N // 2)]
x[:, 1::2] += v.flip([1])[:, :N // 2]
Expand Down