modules/FastDiff/module/modules.py

import math
import torch
import numpy as np
import torch.nn as nn
import torch.nn.functional as F

from torch.nn import Conv1d

LRELU_SLOPE = 0.1



def get_sinusoid_encoding_table(n_position, d_hid, padding_idx=None):
    ''' Sinusoid position encoding table '''

    def cal_angle(position, hid_idx):
        return position / np.power(10000, 2 * (hid_idx // 2) / d_hid)

    def get_posi_angle_vec(position):
        return [cal_angle(position, hid_j) for hid_j in range(d_hid)]

    sinusoid_table = np.array([get_posi_angle_vec(pos_i)
                               for pos_i in range(n_position)])

    sinusoid_table[:, 0::2] = np.sin(sinusoid_table[:, 0::2])  # dim 2i
    sinusoid_table[:, 1::2] = np.cos(sinusoid_table[:, 1::2])  # dim 2i+1

    if padding_idx is not None:
        # zero vector for padding dimension
        sinusoid_table[padding_idx] = 0.

    return torch.FloatTensor(sinusoid_table)


def overlap_and_add(signal, frame_step):
    """Reconstructs a signal from a framed representation.

    Adds potentially overlapping frames of a signal with shape
    `[..., frames, frame_length]`, offsetting subsequent frames by `frame_step`.
    The resulting tensor has shape `[..., output_size]` where

        output_size = (frames - 1) * frame_step + frame_length

    Args:
        signal: A [..., frames, frame_length] Tensor. All dimensions may be unknown, and rank must be at least 2.
        frame_step: An integer denoting overlap offsets. Must be less than or equal to frame_length.

    Returns:
        A Tensor with shape [..., output_size] containing the overlap-added frames of signal's inner-most two dimensions.
        output_size = (frames - 1) * frame_step + frame_length

    Based on https://github.com/tensorflow/tensorflow/blob/r1.12/tensorflow/contrib/signal/python/ops/reconstruction_ops.py
    """
    outer_dimensions = signal.size()[:-2]
    frames, frame_length = signal.size()[-2:]

    # gcd=Greatest Common Divisor
    subframe_length = math.gcd(frame_length, frame_step)
    subframe_step = frame_step // subframe_length
    subframes_per_frame = frame_length // subframe_length
    output_size = frame_step * (frames - 1) + frame_length
    output_subframes = output_size // subframe_length

    subframe_signal = signal.view(*outer_dimensions, -1, subframe_length)

    frame = torch.arange(0, output_subframes).unfold(0, subframes_per_frame, subframe_step)
    frame = signal.new_tensor(frame).long()  # signal may in GPU or CPU
    frame = frame.contiguous().view(-1)

    result = signal.new_zeros(*outer_dimensions, output_subframes, subframe_length)
    device_of_result = result.device
    result.index_add_(-2, frame.to(device_of_result), subframe_signal)
    result = result.view(*outer_dimensions, -1)
    return result


class LastLayer(nn.Module):
    def __init__(self, in_channels, out_channels,
                 nonlinear_activation, nonlinear_activation_params,
                 pad, kernel_size, pad_params, bias):
        super(LastLayer, self).__init__()
        self.activation = getattr(torch.nn, nonlinear_activation)(**nonlinear_activation_params)
        self.pad = getattr(torch.nn, pad)((kernel_size - 1) // 2, **pad_params)
        self.conv = torch.nn.Conv1d(in_channels, out_channels, kernel_size, bias=bias)

    def forward(self, x):
        x = self.activation(x)
        x = self.pad(x)
        x = self.conv(x)
        return x


class WeightConv1d(Conv1d):
    """Conv1d module with customized initialization."""

    def __init__(self, *args, **kwargs):
        """Initialize Conv1d module."""
        super(Conv1d, self).__init__(*args, **kwargs)

    def reset_parameters(self):
        """Reset parameters."""
        torch.nn.init.kaiming_normal_(self.weight, nonlinearity="relu")
        if self.bias is not None:
            torch.nn.init.constant_(self.bias, 0.0)


class Conv1d1x1(Conv1d):
    """1x1 Conv1d with customized initialization."""

    def __init__(self, in_channels, out_channels, bias):
        """Initialize 1x1 Conv1d module."""
        super(Conv1d1x1, self).__init__(in_channels, out_channels,
                                        kernel_size=1, padding=0,
                                        dilation=1, bias=bias)

class DiffusionDBlock(nn.Module):
  def __init__(self, input_size, hidden_size, factor):
    super().__init__()
    self.factor = factor
    self.residual_dense = Conv1d(input_size, hidden_size, 1)
    self.conv = nn.ModuleList([
        Conv1d(input_size, hidden_size, 3, dilation=1, padding=1),
        Conv1d(hidden_size, hidden_size, 3, dilation=2, padding=2),
        Conv1d(hidden_size, hidden_size, 3, dilation=4, padding=4),
    ])

  def forward(self, x):
    size = x.shape[-1] // self.factor

    residual = self.residual_dense(x)
    residual = F.interpolate(residual, size=size)

    x = F.interpolate(x, size=size)
    for layer in self.conv:
      x = F.leaky_relu(x, 0.2)
      x = layer(x)

    return x + residual


class TimeAware_LVCBlock(torch.nn.Module):
    ''' time-aware location-variable convolutions
    '''
    def __init__(self,
                 in_channels,
                 cond_channels,
                 upsample_ratio,
                 conv_layers=4,
                 conv_kernel_size=3,
                 cond_hop_length=256,
                 kpnet_hidden_channels=64,
                 kpnet_conv_size=3,
                 kpnet_dropout=0.0,
                 noise_scale_embed_dim_out=512
                 ):
        super().__init__()

        self.cond_hop_length = cond_hop_length
        self.conv_layers = conv_layers
        self.conv_kernel_size = conv_kernel_size
        self.convs = torch.nn.ModuleList()

        self.upsample = torch.nn.ConvTranspose1d(in_channels, in_channels,
                                    kernel_size=upsample_ratio*2, stride=upsample_ratio,
                                    padding=upsample_ratio // 2 + upsample_ratio % 2,
                                    output_padding=upsample_ratio % 2)


        self.kernel_predictor = KernelPredictor(
            cond_channels=cond_channels,
            conv_in_channels=in_channels,
            conv_out_channels=2 * in_channels,
            conv_layers=conv_layers,
            conv_kernel_size=conv_kernel_size,
            kpnet_hidden_channels=kpnet_hidden_channels,
            kpnet_conv_size=kpnet_conv_size,
            kpnet_dropout=kpnet_dropout
        )

        # the layer-specific fc for noise scale embedding
        self.fc_t = torch.nn.Linear(noise_scale_embed_dim_out, cond_channels)

        for i in range(conv_layers):
            padding = (3 ** i) * int((conv_kernel_size - 1) / 2)
            conv = torch.nn.Conv1d(in_channels, in_channels, kernel_size=conv_kernel_size, padding=padding, dilation=3 ** i)

            self.convs.append(conv)


    def forward(self, data):
        ''' forward propagation of the time-aware location-variable convolutions.
        Args:
            x (Tensor): the input sequence (batch, in_channels, in_length)
            c (Tensor): the conditioning sequence (batch, cond_channels, cond_length)

        Returns:
            Tensor: the output sequence (batch, in_channels, in_length)
        '''
        x, audio_down, c, noise_embedding = data
        batch, in_channels, in_length = x.shape

        noise = (self.fc_t(noise_embedding)).unsqueeze(-1)  # (B, 80)
        condition = c + noise  # (B, 80, T)
        kernels, bias = self.kernel_predictor(condition)
        x = F.leaky_relu(x, 0.2)
        x = self.upsample(x)

        for i in range(self.conv_layers):
            x += audio_down
            y = F.leaky_relu(x, 0.2)
            y = self.convs[i](y)
            y = F.leaky_relu(y, 0.2)

            k = kernels[:, i, :, :, :, :]
            b = bias[:, i, :, :]
            y = self.location_variable_convolution(y, k, b, 1, self.cond_hop_length)
            x = x + torch.sigmoid(y[:, :in_channels, :]) * torch.tanh(y[:, in_channels:, :])
        return x

    def location_variable_convolution(self, x, kernel, bias, dilation, hop_size):
        ''' perform location-variable convolution operation on the input sequence (x) using the local convolution kernl.
        Time: 414 μs ± 309 ns per loop (mean ± std. dev. of 7 runs, 1000 loops each), test on NVIDIA V100.
        Args:
            x (Tensor): the input sequence (batch, in_channels, in_length).
            kernel (Tensor): the local convolution kernel (batch, in_channel, out_channels, kernel_size, kernel_length)
            bias (Tensor): the bias for the local convolution (batch, out_channels, kernel_length)
            dilation (int): the dilation of convolution.
            hop_size (int): the hop_size of the conditioning sequence.
        Returns:
            (Tensor): the output sequence after performing local convolution. (batch, out_channels, in_length).
        '''
        batch, in_channels, in_length = x.shape
        batch, in_channels, out_channels, kernel_size, kernel_length = kernel.shape


        assert in_length == (kernel_length * hop_size), "length of (x, kernel) is not matched"

        padding = dilation * int((kernel_size - 1) / 2)
        x = F.pad(x, (padding, padding), 'constant', 0)  # (batch, in_channels, in_length + 2*padding)
        x = x.unfold(2, hop_size + 2 * padding, hop_size)  # (batch, in_channels, kernel_length, hop_size + 2*padding)

        if hop_size < dilation:
            x = F.pad(x, (0, dilation), 'constant', 0)
        x = x.unfold(3, dilation,
                     dilation)  # (batch, in_channels, kernel_length, (hop_size + 2*padding)/dilation, dilation)
        x = x[:, :, :, :, :hop_size]
        x = x.transpose(3, 4)  # (batch, in_channels, kernel_length, dilation, (hop_size + 2*padding)/dilation)
        x = x.unfold(4, kernel_size, 1)  # (batch, in_channels, kernel_length, dilation, _, kernel_size)

        o = torch.einsum('bildsk,biokl->bolsd', x, kernel)
        o = o + bias.unsqueeze(-1).unsqueeze(-1)
        o = o.contiguous().view(batch, out_channels, -1)
        return o



class KernelPredictor(torch.nn.Module):
    ''' Kernel predictor for the time-aware location-variable convolutions
    '''

    def __init__(self,
                 cond_channels,
                 conv_in_channels,
                 conv_out_channels,
                 conv_layers,
                 conv_kernel_size=3,
                 kpnet_hidden_channels=64,
                 kpnet_conv_size=3,
                 kpnet_dropout=0.0,
                 kpnet_nonlinear_activation="LeakyReLU",
                 kpnet_nonlinear_activation_params={"negative_slope": 0.1}
                 ):
        '''
        Args:
            cond_channels (int): number of channel for the conditioning sequence,
            conv_in_channels (int): number of channel for the input sequence,
            conv_out_channels (int): number of channel for the output sequence,
            conv_layers (int):
            kpnet_
        '''
        super().__init__()

        self.conv_in_channels = conv_in_channels
        self.conv_out_channels = conv_out_channels
        self.conv_kernel_size = conv_kernel_size
        self.conv_layers = conv_layers

        l_w = conv_in_channels * conv_out_channels * conv_kernel_size * conv_layers
        l_b = conv_out_channels * conv_layers

        padding = (kpnet_conv_size - 1) // 2
        self.input_conv = torch.nn.Sequential(
            torch.nn.Conv1d(cond_channels, kpnet_hidden_channels, 5, padding=(5 - 1) // 2, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
        )

        self.residual_conv = torch.nn.Sequential(
            torch.nn.Dropout(kpnet_dropout),
            torch.nn.Conv1d(kpnet_hidden_channels, kpnet_hidden_channels, kpnet_conv_size, padding=padding, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
            torch.nn.Conv1d(kpnet_hidden_channels, kpnet_hidden_channels, kpnet_conv_size, padding=padding, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
            torch.nn.Dropout(kpnet_dropout),
            torch.nn.Conv1d(kpnet_hidden_channels, kpnet_hidden_channels, kpnet_conv_size, padding=padding, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
            torch.nn.Conv1d(kpnet_hidden_channels, kpnet_hidden_channels, kpnet_conv_size, padding=padding, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
            torch.nn.Dropout(kpnet_dropout),
            torch.nn.Conv1d(kpnet_hidden_channels, kpnet_hidden_channels, kpnet_conv_size, padding=padding, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
            torch.nn.Conv1d(kpnet_hidden_channels, kpnet_hidden_channels, kpnet_conv_size, padding=padding, bias=True),
            getattr(torch.nn, kpnet_nonlinear_activation)(**kpnet_nonlinear_activation_params),
        )

        self.kernel_conv = torch.nn.Conv1d(kpnet_hidden_channels, l_w, kpnet_conv_size,
                                           padding=padding, bias=True)
        self.bias_conv = torch.nn.Conv1d(kpnet_hidden_channels, l_b, kpnet_conv_size, padding=padding,
                                         bias=True)

    def forward(self, c):
        '''
        Args:
            c (Tensor): the conditioning sequence (batch, cond_channels, cond_length)
        Returns:
        '''
        batch, cond_channels, cond_length = c.shape

        c = self.input_conv(c)
        c = c + self.residual_conv(c)
        k = self.kernel_conv(c)
        b = self.bias_conv(c)

        kernels = k.contiguous().view(batch,
                                      self.conv_layers,
                                      self.conv_in_channels,
                                      self.conv_out_channels,
                                      self.conv_kernel_size,
                                      cond_length)
        bias = b.contiguous().view(batch,
                                   self.conv_layers,
                                   self.conv_out_channels,
                                   cond_length)
        return kernels, bias