module/modules.py

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

from torch.nn import Conv1d
from torch.nn.utils import weight_norm, remove_weight_norm

from module import commons
from module.commons import init_weights, get_padding
from module.transforms import piecewise_rational_quadratic_transform
import torch.distributions as D


LRELU_SLOPE = 0.1


class LayerNorm(nn.Module):
  def __init__(self, channels, eps=1e-5):
    super().__init__()
    self.channels = channels
    self.eps = eps

    self.gamma = nn.Parameter(torch.ones(channels))
    self.beta = nn.Parameter(torch.zeros(channels))

  def forward(self, x):
    x = x.transpose(1, -1)
    x = F.layer_norm(x, (self.channels,), self.gamma, self.beta, self.eps)
    return x.transpose(1, -1)

 
class ConvReluNorm(nn.Module):
  def __init__(self, in_channels, hidden_channels, out_channels, kernel_size, n_layers, p_dropout):
    super().__init__()
    self.in_channels = in_channels
    self.hidden_channels = hidden_channels
    self.out_channels = out_channels
    self.kernel_size = kernel_size
    self.n_layers = n_layers
    self.p_dropout = p_dropout
    assert n_layers > 1, "Number of layers should be larger than 0."

    self.conv_layers = nn.ModuleList()
    self.norm_layers = nn.ModuleList()
    self.conv_layers.append(nn.Conv1d(in_channels, hidden_channels, kernel_size, padding=kernel_size//2))
    self.norm_layers.append(LayerNorm(hidden_channels))
    self.relu_drop = nn.Sequential(
        nn.ReLU(),
        nn.Dropout(p_dropout))
    for _ in range(n_layers-1):
      self.conv_layers.append(nn.Conv1d(hidden_channels, hidden_channels, kernel_size, padding=kernel_size//2))
      self.norm_layers.append(LayerNorm(hidden_channels))
    self.proj = nn.Conv1d(hidden_channels, out_channels, 1)
    self.proj.weight.data.zero_()
    self.proj.bias.data.zero_()

  def forward(self, x, x_mask):
    x_org = x
    for i in range(self.n_layers):
      x = self.conv_layers[i](x * x_mask)
      x = self.norm_layers[i](x)
      x = self.relu_drop(x)
    x = x_org + self.proj(x)
    return x * x_mask


class DDSConv(nn.Module):
  """
  Dialted and Depth-Separable Convolution
  """
  def __init__(self, channels, kernel_size, n_layers, p_dropout=0.):
    super().__init__()
    self.channels = channels
    self.kernel_size = kernel_size
    self.n_layers = n_layers
    self.p_dropout = p_dropout

    self.drop = nn.Dropout(p_dropout)
    self.convs_sep = nn.ModuleList()
    self.convs_1x1 = nn.ModuleList()
    self.norms_1 = nn.ModuleList()
    self.norms_2 = nn.ModuleList()
    for i in range(n_layers):
      dilation = kernel_size ** i
      padding = (kernel_size * dilation - dilation) // 2
      self.convs_sep.append(nn.Conv1d(channels, channels, kernel_size, 
          groups=channels, dilation=dilation, padding=padding
      ))
      self.convs_1x1.append(nn.Conv1d(channels, channels, 1))
      self.norms_1.append(LayerNorm(channels))
      self.norms_2.append(LayerNorm(channels))

  def forward(self, x, x_mask, g=None):
    if g is not None:
      x = x + g
    for i in range(self.n_layers):
      y = self.convs_sep[i](x * x_mask)
      y = self.norms_1[i](y)
      y = F.gelu(y)
      y = self.convs_1x1[i](y)
      y = self.norms_2[i](y)
      y = F.gelu(y)
      y = self.drop(y)
      x = x + y
    return x * x_mask


class WN(torch.nn.Module):
  def __init__(self, hidden_channels, kernel_size, dilation_rate, n_layers, gin_channels=0, p_dropout=0):
    super(WN, self).__init__()
    assert(kernel_size % 2 == 1)
    self.hidden_channels =hidden_channels
    self.kernel_size = kernel_size,
    self.dilation_rate = dilation_rate
    self.n_layers = n_layers
    self.gin_channels = gin_channels
    self.p_dropout = p_dropout

    self.in_layers = torch.nn.ModuleList()
    self.res_skip_layers = torch.nn.ModuleList()
    self.drop = nn.Dropout(p_dropout)

    if gin_channels != 0:
      cond_layer = torch.nn.Conv1d(gin_channels, 2*hidden_channels*n_layers, 1)
      self.cond_layer = torch.nn.utils.weight_norm(cond_layer, name='weight')

    for i in range(n_layers):
      dilation = dilation_rate ** i
      padding = int((kernel_size * dilation - dilation) / 2)
      in_layer = torch.nn.Conv1d(hidden_channels, 2*hidden_channels, kernel_size,
                                 dilation=dilation, padding=padding)
      in_layer = torch.nn.utils.weight_norm(in_layer, name='weight')
      self.in_layers.append(in_layer)

      # last one is not necessary
      if i < n_layers - 1:
        res_skip_channels = 2 * hidden_channels
      else:
        res_skip_channels = hidden_channels

      res_skip_layer = torch.nn.Conv1d(hidden_channels, res_skip_channels, 1)
      res_skip_layer = torch.nn.utils.weight_norm(res_skip_layer, name='weight')
      self.res_skip_layers.append(res_skip_layer)

  def forward(self, x, x_mask, g=None, **kwargs):
    output = torch.zeros_like(x)
    n_channels_tensor = torch.IntTensor([self.hidden_channels])

    if g is not None:
      g = self.cond_layer(g)

    for i in range(self.n_layers):
      x_in = self.in_layers[i](x)
      if g is not None:
        cond_offset = i * 2 * self.hidden_channels
        g_l = g[:,cond_offset:cond_offset+2*self.hidden_channels,:]
      else:
        g_l = torch.zeros_like(x_in)

      acts = commons.fused_add_tanh_sigmoid_multiply(
          x_in,
          g_l,
          n_channels_tensor)
      acts = self.drop(acts)

      res_skip_acts = self.res_skip_layers[i](acts)
      if i < self.n_layers - 1:
        res_acts = res_skip_acts[:,:self.hidden_channels,:]
        x = (x + res_acts) * x_mask
        output = output + res_skip_acts[:,self.hidden_channels:,:]
      else:
        output = output + res_skip_acts
    return output * x_mask

  def remove_weight_norm(self):
    if self.gin_channels != 0:
      torch.nn.utils.remove_weight_norm(self.cond_layer)
    for l in self.in_layers:
      torch.nn.utils.remove_weight_norm(l)
    for l in self.res_skip_layers:
     torch.nn.utils.remove_weight_norm(l)


class ResBlock1(torch.nn.Module):
    def __init__(self, channels, kernel_size=3, dilation=(1, 3, 5)):
        super(ResBlock1, self).__init__()
        self.convs1 = nn.ModuleList([
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=dilation[0],
                               padding=get_padding(kernel_size, dilation[0]))),
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=dilation[1],
                               padding=get_padding(kernel_size, dilation[1]))),
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=dilation[2],
                               padding=get_padding(kernel_size, dilation[2])))
        ])
        self.convs1.apply(init_weights)

        self.convs2 = nn.ModuleList([
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=1,
                               padding=get_padding(kernel_size, 1))),
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=1,
                               padding=get_padding(kernel_size, 1))),
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=1,
                               padding=get_padding(kernel_size, 1)))
        ])
        self.convs2.apply(init_weights)

    def forward(self, x, x_mask=None):
        for c1, c2 in zip(self.convs1, self.convs2):
            xt = F.leaky_relu(x, LRELU_SLOPE)
            if x_mask is not None:
                xt = xt * x_mask
            xt = c1(xt)
            xt = F.leaky_relu(xt, LRELU_SLOPE)
            if x_mask is not None:
                xt = xt * x_mask
            xt = c2(xt)
            x = xt + x
        if x_mask is not None:
            x = x * x_mask
        return x

    def remove_weight_norm(self):
        for l in self.convs1:
            remove_weight_norm(l)
        for l in self.convs2:
            remove_weight_norm(l)


class ResBlock2(torch.nn.Module):
    def __init__(self, channels, kernel_size=3, dilation=(1, 3)):
        super(ResBlock2, self).__init__()
        self.convs = nn.ModuleList([
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=dilation[0],
                               padding=get_padding(kernel_size, dilation[0]))),
            weight_norm(Conv1d(channels, channels, kernel_size, 1, dilation=dilation[1],
                               padding=get_padding(kernel_size, dilation[1])))
        ])
        self.convs.apply(init_weights)

    def forward(self, x, x_mask=None):
        for c in self.convs:
            xt = F.leaky_relu(x, LRELU_SLOPE)
            if x_mask is not None:
                xt = xt * x_mask
            xt = c(xt)
            x = xt + x
        if x_mask is not None:
            x = x * x_mask
        return x

    def remove_weight_norm(self):
        for l in self.convs:
            remove_weight_norm(l)


class Log(nn.Module):
  def forward(self, x, x_mask, reverse=False, **kwargs):
    if not reverse:
      y = torch.log(torch.clamp_min(x, 1e-5)) * x_mask
      logdet = torch.sum(-y, [1, 2])
      return y, logdet
    else:
      x = torch.exp(x) * x_mask
      return x
    

class Flip(nn.Module):
  def forward(self, x, *args, reverse=False, **kwargs):
    x = torch.flip(x, [1])
    if not reverse:
      logdet = torch.zeros(x.size(0)).to(dtype=x.dtype, device=x.device)
      return x, logdet
    else:
      return x


class ElementwiseAffine(nn.Module):
  def __init__(self, channels):
    super().__init__()
    self.channels = channels
    self.m = nn.Parameter(torch.zeros(channels,1))
    self.logs = nn.Parameter(torch.zeros(channels,1))

  def forward(self, x, x_mask, reverse=False, **kwargs):
    if not reverse:
      y = self.m + torch.exp(self.logs) * x
      y = y * x_mask
      logdet = torch.sum(self.logs * x_mask, [1,2])
      return y, logdet
    else:
      x = (x - self.m) * torch.exp(-self.logs) * x_mask
      return x


class ResidualCouplingLayer(nn.Module):
  def __init__(self,
      channels,
      hidden_channels,
      kernel_size,
      dilation_rate,
      n_layers,
      p_dropout=0,
      gin_channels=0,
      mean_only=False):
    assert channels % 2 == 0, "channels should be divisible by 2"
    super().__init__()
    self.channels = channels
    self.hidden_channels = hidden_channels
    self.kernel_size = kernel_size
    self.dilation_rate = dilation_rate
    self.n_layers = n_layers
    self.half_channels = channels // 2
    self.mean_only = mean_only

    self.pre = nn.Conv1d(self.half_channels, hidden_channels, 1)
    self.enc = WN(hidden_channels, kernel_size, dilation_rate, n_layers, p_dropout=p_dropout, gin_channels=gin_channels)
    self.post = nn.Conv1d(hidden_channels, self.half_channels * (2 - mean_only), 1)
    self.post.weight.data.zero_()
    self.post.bias.data.zero_()

  def forward(self, x, x_mask, g=None, reverse=False):
    x0, x1 = torch.split(x, [self.half_channels]*2, 1)
    h = self.pre(x0) * x_mask
    h = self.enc(h, x_mask, g=g)
    stats = self.post(h) * x_mask
    if not self.mean_only:
      m, logs = torch.split(stats, [self.half_channels]*2, 1)
    else:
      m = stats
      logs = torch.zeros_like(m)

    if not reverse:
      x1 = m + x1 * torch.exp(logs) * x_mask
      x = torch.cat([x0, x1], 1)
      logdet = torch.sum(logs, [1,2])
      return x, logdet
    else:
      x1 = (x1 - m) * torch.exp(-logs) * x_mask
      x = torch.cat([x0, x1], 1)
      return x


class ConvFlow(nn.Module):
  def __init__(self, in_channels, filter_channels, kernel_size, n_layers, num_bins=10, tail_bound=5.0):
    super().__init__()
    self.in_channels = in_channels
    self.filter_channels = filter_channels
    self.kernel_size = kernel_size
    self.n_layers = n_layers
    self.num_bins = num_bins
    self.tail_bound = tail_bound
    self.half_channels = in_channels // 2

    self.pre = nn.Conv1d(self.half_channels, filter_channels, 1)
    self.convs = DDSConv(filter_channels, kernel_size, n_layers, p_dropout=0.)
    self.proj = nn.Conv1d(filter_channels, self.half_channels * (num_bins * 3 - 1), 1)
    self.proj.weight.data.zero_()
    self.proj.bias.data.zero_()

  def forward(self, x, x_mask, g=None, reverse=False):
    x0, x1 = torch.split(x, [self.half_channels]*2, 1)
    h = self.pre(x0)
    h = self.convs(h, x_mask, g=g)
    h = self.proj(h) * x_mask

    b, c, t = x0.shape
    h = h.reshape(b, c, -1, t).permute(0, 1, 3, 2) # [b, cx?, t] -> [b, c, t, ?]

    unnormalized_widths = h[..., :self.num_bins] / math.sqrt(self.filter_channels)
    unnormalized_heights = h[..., self.num_bins:2*self.num_bins] / math.sqrt(self.filter_channels)
    unnormalized_derivatives = h[..., 2 * self.num_bins:]

    x1, logabsdet = piecewise_rational_quadratic_transform(x1,
        unnormalized_widths,
        unnormalized_heights,
        unnormalized_derivatives,
        inverse=reverse,
        tails='linear',
        tail_bound=self.tail_bound
    )

    x = torch.cat([x0, x1], 1) * x_mask
    logdet = torch.sum(logabsdet * x_mask, [1,2])
    if not reverse:
        return x, logdet
    else:
        return x



class LinearNorm(nn.Module):
    def __init__(self,
                 in_channels,
                 out_channels,
                 bias=True,
                 spectral_norm=False,
                 ):
        super(LinearNorm, self).__init__()
        self.fc = nn.Linear(in_channels, out_channels, bias)

        if spectral_norm:
            self.fc = nn.utils.spectral_norm(self.fc)

    def forward(self, input):
        out = self.fc(input)
        return out


class Mish(nn.Module):
    def __init__(self):
        super(Mish, self).__init__()

    def forward(self, x):
        return x * torch.tanh(F.softplus(x))


class Conv1dGLU(nn.Module):
    '''
    Conv1d + GLU(Gated Linear Unit) with residual connection.
    For GLU refer to https://arxiv.org/abs/1612.08083 paper.
    '''

    def __init__(self, in_channels, out_channels, kernel_size, dropout):
        super(Conv1dGLU, self).__init__()
        self.out_channels = out_channels
        self.conv1 = ConvNorm(in_channels, 2 * out_channels, kernel_size=kernel_size)
        self.dropout = nn.Dropout(dropout)

    def forward(self, x):
        residual = x
        x = self.conv1(x)
        x1, x2 = torch.split(x, split_size_or_sections=self.out_channels, dim=1)
        x = x1 * torch.sigmoid(x2)
        x = residual + self.dropout(x)
        return x


class ConvNorm(nn.Module):
    def __init__(self,
                 in_channels,
                 out_channels,
                 kernel_size=1,
                 stride=1,
                 padding=None,
                 dilation=1,
                 bias=True,
                 spectral_norm=False,
                 ):
        super(ConvNorm, self).__init__()

        if padding is None:
            assert (kernel_size % 2 == 1)
            padding = int(dilation * (kernel_size - 1) / 2)

        self.conv = torch.nn.Conv1d(in_channels,
                                    out_channels,
                                    kernel_size=kernel_size,
                                    stride=stride,
                                    padding=padding,
                                    dilation=dilation,
                                    bias=bias)

        if spectral_norm:
            self.conv = nn.utils.spectral_norm(self.conv)

    def forward(self, input):
        out = self.conv(input)
        return out


class MultiHeadAttention(nn.Module):
    ''' Multi-Head Attention module '''

    def __init__(self, n_head, d_model, d_k, d_v, dropout=0., spectral_norm=False):
        super().__init__()

        self.n_head = n_head
        self.d_k = d_k
        self.d_v = d_v

        self.w_qs = nn.Linear(d_model, n_head * d_k)
        self.w_ks = nn.Linear(d_model, n_head * d_k)
        self.w_vs = nn.Linear(d_model, n_head * d_v)

        self.attention = ScaledDotProductAttention(temperature=np.power(d_model, 0.5), dropout=dropout)

        self.fc = nn.Linear(n_head * d_v, d_model)
        self.dropout = nn.Dropout(dropout)

        if spectral_norm:
            self.w_qs = nn.utils.spectral_norm(self.w_qs)
            self.w_ks = nn.utils.spectral_norm(self.w_ks)
            self.w_vs = nn.utils.spectral_norm(self.w_vs)
            self.fc = nn.utils.spectral_norm(self.fc)

    def forward(self, x, mask=None):
        d_k, d_v, n_head = self.d_k, self.d_v, self.n_head
        sz_b, len_x, _ = x.size()

        residual = x

        q = self.w_qs(x).view(sz_b, len_x, n_head, d_k)
        k = self.w_ks(x).view(sz_b, len_x, n_head, d_k)
        v = self.w_vs(x).view(sz_b, len_x, n_head, d_v)
        q = q.permute(2, 0, 1, 3).contiguous().view(-1,
                                                    len_x, d_k)  # (n*b) x lq x dk
        k = k.permute(2, 0, 1, 3).contiguous().view(-1,
                                                    len_x, d_k)  # (n*b) x lk x dk
        v = v.permute(2, 0, 1, 3).contiguous().view(-1,
                                                    len_x, d_v)  # (n*b) x lv x dv

        if mask is not None:
            slf_mask = mask.repeat(n_head, 1, 1)  # (n*b) x .. x ..
        else:
            slf_mask = None
        output, attn = self.attention(q, k, v, mask=slf_mask)

        output = output.view(n_head, sz_b, len_x, d_v)
        output = output.permute(1, 2, 0, 3).contiguous().view(
            sz_b, len_x, -1)  # b x lq x (n*dv)

        output = self.fc(output)

        output = self.dropout(output) + residual
        return output, attn


class ScaledDotProductAttention(nn.Module):
    ''' Scaled Dot-Product Attention '''

    def __init__(self, temperature, dropout):
        super().__init__()
        self.temperature = temperature
        self.softmax = nn.Softmax(dim=2)
        self.dropout = nn.Dropout(dropout)

    def forward(self, q, k, v, mask=None):
        attn = torch.bmm(q, k.transpose(1, 2))
        attn = attn / self.temperature

        if mask is not None:
            attn = attn.masked_fill(mask, -np.inf)

        attn = self.softmax(attn)
        p_attn = self.dropout(attn)

        output = torch.bmm(p_attn, v)
        return output, attn


class MelStyleEncoder(nn.Module):
    ''' MelStyleEncoder '''

    def __init__(self, n_mel_channels=80,
                 style_hidden=128,
                 style_vector_dim=256,
                 style_kernel_size=5,
                 style_head=2,
                 dropout=0.1):
        super(MelStyleEncoder, self).__init__()
        self.in_dim = n_mel_channels
        self.hidden_dim = style_hidden
        self.out_dim = style_vector_dim
        self.kernel_size = style_kernel_size
        self.n_head = style_head
        self.dropout = dropout

        self.spectral = nn.Sequential(
            LinearNorm(self.in_dim, self.hidden_dim),
            Mish(),
            nn.Dropout(self.dropout),
            LinearNorm(self.hidden_dim, self.hidden_dim),
            Mish(),
            nn.Dropout(self.dropout)
        )

        self.temporal = nn.Sequential(
            Conv1dGLU(self.hidden_dim, self.hidden_dim, self.kernel_size, self.dropout),
            Conv1dGLU(self.hidden_dim, self.hidden_dim, self.kernel_size, self.dropout),
        )

        self.slf_attn = MultiHeadAttention(self.n_head, self.hidden_dim,
                                                   self.hidden_dim // self.n_head, self.hidden_dim // self.n_head,
                                                   self.dropout)

        self.fc = LinearNorm(self.hidden_dim, self.out_dim)

    def temporal_avg_pool(self, x, mask=None):
        if mask is None:
            out = torch.mean(x, dim=1)
        else:
            len_ = (~mask).sum(dim=1).unsqueeze(1)
            x = x.masked_fill(mask.unsqueeze(-1), 0)
            x = x.sum(dim=1)
            out = torch.div(x, len_)
        return out

    def forward(self, x, mask=None):
        x = x.transpose(1,2)
        if mask is not None:
            mask = (mask.int()==0).squeeze(1)
        max_len = x.shape[1]
        slf_attn_mask = mask.unsqueeze(1).expand(-1, max_len, -1) if mask is not None else None

        # spectral
        x = self.spectral(x)
        # temporal
        x = x.transpose(1, 2)
        x = self.temporal(x)
        x = x.transpose(1, 2)
        # self-attention
        if mask is not None:
            x = x.masked_fill(mask.unsqueeze(-1), 0)
        x, _ = self.slf_attn(x, mask=slf_attn_mask)
        # fc
        x = self.fc(x)
        # temoral average pooling
        w = self.temporal_avg_pool(x, mask=mask)

        return w.unsqueeze(-1)


class MelStyleEncoderVAE(nn.Module):
    def __init__(self, spec_channels, z_latent_dim, emb_dim):
        super().__init__()
        self.ref_encoder = MelStyleEncoder(spec_channels, style_vector_dim=emb_dim)
        self.fc1 = nn.Linear(emb_dim, z_latent_dim)
        self.fc2 = nn.Linear(emb_dim, z_latent_dim)
        self.fc3 = nn.Linear(z_latent_dim, emb_dim)
        self.z_latent_dim = z_latent_dim

    def reparameterize(self, mu, logvar):
        if self.training:
            std = torch.exp(0.5 * logvar)
            eps = torch.randn_like(std)
            return eps.mul(std).add_(mu)
        else:
            return mu

    def forward(self, inputs, mask=None):
        enc_out = self.ref_encoder(inputs.squeeze(-1), mask).squeeze(-1)
        mu = self.fc1(enc_out)
        logvar = self.fc2(enc_out)
        posterior = D.Normal(mu, torch.exp(logvar))
        kl_divergence = D.kl_divergence(posterior, D.Normal(torch.zeros_like(mu), torch.ones_like(logvar)))
        loss_kl = kl_divergence.mean()

        z = posterior.rsample()
        style_embed = self.fc3(z)

        return style_embed.unsqueeze(-1), loss_kl

    def infer(self, inputs=None, random_sample=False, manual_latent=None):
        if manual_latent is None:
            if random_sample:
                dev = next(self.parameters()).device
                posterior = D.Normal(torch.zeros(1, self.z_latent_dim, device=dev),
                                     torch.ones(1, self.z_latent_dim, device=dev))
                z = posterior.rsample()
            else:

                enc_out = self.ref_encoder(inputs.transpose(1, 2))
                mu = self.fc1(enc_out)
                z = mu
        else:
            z = manual_latent
        style_embed = self.fc3(z)
        return style_embed.unsqueeze(-1), z


class ActNorm(nn.Module):
    def __init__(self, channels, ddi=False, **kwargs):
        super().__init__()
        self.channels = channels
        self.initialized = not ddi

        self.logs = nn.Parameter(torch.zeros(1, channels, 1))
        self.bias = nn.Parameter(torch.zeros(1, channels, 1))

    def forward(self, x, x_mask=None, g=None, reverse=False, **kwargs):
        if x_mask is None:
            x_mask = torch.ones(x.size(0), 1, x.size(2)).to(device=x.device, dtype=x.dtype)
        x_len = torch.sum(x_mask, [1, 2])
        if not self.initialized:
            self.initialize(x, x_mask)
            self.initialized = True

        if reverse:
            z = (x - self.bias) * torch.exp(-self.logs) * x_mask
            logdet = None
            return z
        else:
            z = (self.bias + torch.exp(self.logs) * x) * x_mask
            logdet = torch.sum(self.logs) * x_len  # [b]
            return z, logdet

    def store_inverse(self):
        pass

    def set_ddi(self, ddi):
        self.initialized = not ddi

    def initialize(self, x, x_mask):
        with torch.no_grad():
            denom = torch.sum(x_mask, [0, 2])
            m = torch.sum(x * x_mask, [0, 2]) / denom
            m_sq = torch.sum(x * x * x_mask, [0, 2]) / denom
            v = m_sq - (m ** 2)
            logs = 0.5 * torch.log(torch.clamp_min(v, 1e-6))

            bias_init = (-m * torch.exp(-logs)).view(*self.bias.shape).to(dtype=self.bias.dtype)
            logs_init = (-logs).view(*self.logs.shape).to(dtype=self.logs.dtype)

            self.bias.data.copy_(bias_init)
            self.logs.data.copy_(logs_init)


class InvConvNear(nn.Module):
    def __init__(self, channels, n_split=4, no_jacobian=False, **kwargs):
        super().__init__()
        assert (n_split % 2 == 0)
        self.channels = channels
        self.n_split = n_split
        self.no_jacobian = no_jacobian

        w_init = torch.linalg.qr(torch.FloatTensor(self.n_split, self.n_split).normal_())[0]
        if torch.det(w_init) < 0:
            w_init[:, 0] = -1 * w_init[:, 0]
        self.weight = nn.Parameter(w_init)

    def forward(self, x, x_mask=None, g=None, reverse=False, **kwargs):
        b, c, t = x.size()
        assert (c % self.n_split == 0)
        if x_mask is None:
            x_mask = 1
            x_len = torch.ones((b,), dtype=x.dtype, device=x.device) * t
        else:
            x_len = torch.sum(x_mask, [1, 2])

        x = x.view(b, 2, c // self.n_split, self.n_split // 2, t)
        x = x.permute(0, 1, 3, 2, 4).contiguous().view(b, self.n_split, c // self.n_split, t)

        if reverse:
            if hasattr(self, "weight_inv"):
                weight = self.weight_inv
            else:
                weight = torch.inverse(self.weight.float()).to(dtype=self.weight.dtype)
            logdet = None
        else:
            weight = self.weight
            if self.no_jacobian:
                logdet = 0
            else:
                logdet = torch.logdet(self.weight) * (c / self.n_split) * x_len  # [b]

        weight = weight.view(self.n_split, self.n_split, 1, 1)
        z = F.conv2d(x, weight)

        z = z.view(b, 2, self.n_split // 2, c // self.n_split, t)
        z = z.permute(0, 1, 3, 2, 4).contiguous().view(b, c, t) * x_mask
        if reverse:
            return z
        else:
            return z, logdet

    def store_inverse(self):
        self.weight_inv = torch.inverse(self.weight.float()).to(dtype=self.weight.dtype)