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"""
/* Copyright (c) 2023 Amazon
Written by Jan Buethe */
/*
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
- Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
"""
import torch
from torch import nn
import torch.nn.functional as F
class PitchAutoCorrelator(nn.Module):
def __init__(self,
frame_size=80,
pitch_min=32,
pitch_max=300,
radius=2):
super().__init__()
self.frame_size = frame_size
self.pitch_min = pitch_min
self.pitch_max = pitch_max
self.radius = radius
def forward(self, x, periods):
# x of shape (batch_size, channels, num_samples)
# periods of shape (batch_size, num_frames)
num_frames = periods.size(1)
batch_size = periods.size(0)
num_samples = self.frame_size * num_frames
channels = x.size(1)
assert num_samples == x.size(-1)
range = torch.arange(-self.radius, self.radius + 1, device=x.device)
idx = torch.arange(self.frame_size * num_frames, device=x.device)
p_up = torch.repeat_interleave(periods, self.frame_size, 1)
lookup = idx + self.pitch_max - p_up
lookup = lookup.unsqueeze(-1) + range
lookup = lookup.unsqueeze(1)
# padding
x_pad = F.pad(x, [self.pitch_max, 0])
x_ext = torch.repeat_interleave(x_pad.unsqueeze(-1), 2 * self.radius + 1, -1)
# framing
x_select = torch.gather(x_ext, 2, lookup)
x_frames = x_pad[..., self.pitch_max : ].reshape(batch_size, channels, num_frames, self.frame_size, 1)
lag_frames = x_select.reshape(batch_size, 1, num_frames, self.frame_size, -1)
# calculate auto-correlation
dotp = torch.sum(x_frames * lag_frames, dim=-2)
frame_nrg = torch.sum(x_frames * x_frames, dim=-2)
lag_frame_nrg = torch.sum(lag_frames * lag_frames, dim=-2)
acorr = dotp / torch.sqrt(frame_nrg * lag_frame_nrg + 1e-9)
return acorr
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