#!/usr/bin/env python3
# -*- coding: utf-8 -*-

# Copyright 2019 Shigeki Karita
#  Apache 2.0  (http://www.apache.org/licenses/LICENSE-2.0)

"""Layer normalization module."""

import torch
import torch.nn as nn


class LayerNorm(torch.nn.LayerNorm):
    """Layer normalization module.

    Args:
        nout (int): Output dim size.
        dim (int): Dimension to be normalized.

    """

    def __init__(self, nout, dim=-1):
        """Construct an LayerNorm object."""
        super(LayerNorm, self).__init__(nout, eps=1e-12)
        self.dim = dim

    def forward(self, x):
        """Apply layer normalization.

        Args:
            x (torch.Tensor): Input tensor.

        Returns:
            torch.Tensor: Normalized tensor.

        """
        if self.dim == -1:
            return super(LayerNorm, self).forward(x)
        return super(LayerNorm, self).forward(x.transpose(self.dim, -1)).transpose(self.dim, -1)


class GlobalLayerNorm(nn.Module):
    """Calculate Global Layer Normalization.

    Arguments
    ---------
       dim : (int or list or torch.Size)
           Input shape from an expected input of size.
       eps : float
           A value added to the denominator for numerical stability.
       elementwise_affine : bool
          A boolean value that when set to True,
          this module has learnable per-element affine parameters
          initialized to ones (for weights) and zeros (for biases).

    Example
    -------
    >>> x = torch.randn(5, 10, 20)
    >>> GLN = GlobalLayerNorm(10, 3)
    >>> x_norm = GLN(x)
    """

    def __init__(self, dim, shape, eps=1e-8, elementwise_affine=True):
        super(GlobalLayerNorm, self).__init__()
        self.dim = dim
        self.eps = eps
        self.elementwise_affine = elementwise_affine

        if self.elementwise_affine:
            if shape == 3:
                self.weight = nn.Parameter(torch.ones(self.dim, 1))
                self.bias = nn.Parameter(torch.zeros(self.dim, 1))
            if shape == 4:
                self.weight = nn.Parameter(torch.ones(self.dim, 1, 1))
                self.bias = nn.Parameter(torch.zeros(self.dim, 1, 1))
        else:
            self.register_parameter("weight", None)
            self.register_parameter("bias", None)

    def forward(self, x):
        """Returns the normalized tensor.

        Arguments
        ---------
        x : torch.Tensor
            Tensor of size [N, C, K, S] or [N, C, L].
        """
        # x = N x C x K x S or N x C x L
        # N x 1 x 1
        # cln: mean,var N x 1 x K x S
        # gln: mean,var N x 1 x 1
        if x.dim() == 3:
            mean = torch.mean(x, (1, 2), keepdim=True)
            var = torch.mean((x - mean) ** 2, (1, 2), keepdim=True)
            if self.elementwise_affine:
                x = self.weight * (x - mean) / torch.sqrt(var + self.eps) + self.bias
            else:
                x = (x - mean) / torch.sqrt(var + self.eps)

        if x.dim() == 4:
            mean = torch.mean(x, (1, 2, 3), keepdim=True)
            var = torch.mean((x - mean) ** 2, (1, 2, 3), keepdim=True)
            if self.elementwise_affine:
                x = self.weight * (x - mean) / torch.sqrt(var + self.eps) + self.bias
            else:
                x = (x - mean) / torch.sqrt(var + self.eps)
        return x


class CumulativeLayerNorm(nn.LayerNorm):
    """Calculate Cumulative Layer Normalization.

       Arguments
       ---------
       dim : int
        Dimension that you want to normalize.
       elementwise_affine : True
        Learnable per-element affine parameters.

    Example
    -------
    >>> x = torch.randn(5, 10, 20)
    >>> CLN = CumulativeLayerNorm(10)
    >>> x_norm = CLN(x)
    """

    def __init__(self, dim, elementwise_affine=True):
        super(CumulativeLayerNorm, self).__init__(
            dim, elementwise_affine=elementwise_affine, eps=1e-8
        )

    def forward(self, x):
        """Returns the normalized tensor.

        Arguments
        ---------
        x : torch.Tensor
            Tensor size [N, C, K, S] or [N, C, L]
        """
        # x: N x C x K x S or N x C x L
        # N x K x S x C
        if x.dim() == 4:
            x = x.permute(0, 2, 3, 1).contiguous()
            # N x K x S x C == only channel norm
            x = super().forward(x)
            # N x C x K x S
            x = x.permute(0, 3, 1, 2).contiguous()
        if x.dim() == 3:
            x = torch.transpose(x, 1, 2)
            # N x L x C == only channel norm
            x = super().forward(x)
            # N x C x L
            x = torch.transpose(x, 1, 2)
        return x


class ScaleNorm(nn.Module):
    def __init__(self, dim, eps=1e-5):
        super().__init__()
        self.scale = dim**-0.5
        self.eps = eps
        self.g = nn.Parameter(torch.ones(1))

    def forward(self, x):
        norm = torch.norm(x, dim=-1, keepdim=True) * self.scale
        return x / norm.clamp(min=self.eps) * self.g