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import torch
import torch.distributed as dist
import math
import warnings

from torch.nn.init import _calculate_fan_in_and_fan_out
from einops import rearrange

def token_to_grid(h):
    B, L, C = h.shape
    H = int(L ** 0.5)
    # return rearrange(h, 'b (h w) c -> b c h w', h=int(h.shape[1] ** 0.5), w=int(h.shape[1] ** 0.5))
    return h.view(B, H, H, C).permute(0, 3, 1, 2)

class AllReduce(torch.autograd.Function):

    @staticmethod
    def forward(ctx, x):
        if (
            dist.is_available()
            and dist.is_initialized()
            and (dist.get_world_size() > 1)
        ):
            x = x.contiguous() / dist.get_world_size()
            dist.all_reduce(x)
        return x

    @staticmethod
    def backward(ctx, grads):
        return grads

def repeat_interleave_batch(x, B, repeat):
    # [N*B] -> [N*R*B]
    N = len(x) // B
    x = torch.cat([
        torch.cat([x[i*B:(i+1)*B] for _ in range(repeat)], dim=0)
        for i in range(N)
    ], dim=0)
    return x

def apply_masks(x, masks):
    """
    :param x: tensor of shape [B (batch-size), N (num-patches), D (feature-dim)]
    :param masks: list of tensors containing indices of patches in [N] to keep
    """
    all_x = []
    for m in masks:
        mask_keep = m.unsqueeze(-1).repeat(1, 1, x.size(-1))
        all_x += [torch.gather(x, dim=1, index=mask_keep)]
    return torch.cat(all_x, dim=0)


def compute_var(y):
    y = y.view(-1, y.size(-1))
    if dist.is_initialized():
        zc = torch.tensor(y.size(0)).cuda()
        zs = y.sum(dim=0)
        zss = (y ** 2).sum(dim=0)

        dist.all_reduce(zc)
        dist.all_reduce(zs)
        dist.all_reduce(zss)

        var = zss / (zc - 1) - (zs ** 2) / (zc * (zc - 1))
        return torch.sqrt(var + 1e-6).mean()
    else:
        return torch.sqrt(y.var(dim=0) + 1e-6).mean()




def _trunc_normal_(tensor, mean, std, a, b):
    # Cut & paste from PyTorch official master until it's in a few official releases - RW
    # Method based on https://people.sc.fsu.edu/~jburkardt/presentations/truncated_normal.pdf
    def norm_cdf(x):
        # Computes standard normal cumulative distribution function
        return (1. + math.erf(x / math.sqrt(2.))) / 2.

    if (mean < a - 2 * std) or (mean > b + 2 * std):
        warnings.warn("mean is more than 2 std from [a, b] in nn.init.trunc_normal_. "
                      "The distribution of values may be incorrect.",
                      stacklevel=2)

    # Values are generated by using a truncated uniform distribution and
    # then using the inverse CDF for the normal distribution.
    # Get upper and lower cdf values
    l = norm_cdf((a - mean) / std)
    u = norm_cdf((b - mean) / std)

    # Uniformly fill tensor with values from [l, u], then translate to
    # [2l-1, 2u-1].
    tensor.uniform_(2 * l - 1, 2 * u - 1)

    # Use inverse cdf transform for normal distribution to get truncated
    # standard normal
    tensor.erfinv_()

    # Transform to proper mean, std
    tensor.mul_(std * math.sqrt(2.))
    tensor.add_(mean)

    # Clamp to ensure it's in the proper range
    tensor.clamp_(min=a, max=b)
    return tensor


def trunc_normal_(tensor, mean=0., std=1., a=-2., b=2.):
    # type: (Tensor, float, float, float, float) -> Tensor
    r"""Fills the input Tensor with values drawn from a truncated
    normal distribution. The values are effectively drawn from the
    normal distribution :math:`\mathcal{N}(\text{mean}, \text{std}^2)`
    with values outside :math:`[a, b]` redrawn until they are within
    the bounds. The method used for generating the random values works
    best when :math:`a \leq \text{mean} \leq b`.

    NOTE: this impl is similar to the PyTorch trunc_normal_, the bounds [a, b] are
    applied while sampling the normal with mean/std applied, therefore a, b args
    should be adjusted to match the range of mean, std args.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        mean: the mean of the normal distribution
        std: the standard deviation of the normal distribution
        a: the minimum cutoff value
        b: the maximum cutoff value
    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.trunc_normal_(w)
    """
    with torch.no_grad():
        return _trunc_normal_(tensor, mean, std, a, b)


def trunc_normal_tf_(tensor, mean=0., std=1., a=-2., b=2.):
    # type: (Tensor, float, float, float, float) -> Tensor
    r"""Fills the input Tensor with values drawn from a truncated
    normal distribution. The values are effectively drawn from the
    normal distribution :math:`\mathcal{N}(\text{mean}, \text{std}^2)`
    with values outside :math:`[a, b]` redrawn until they are within
    the bounds. The method used for generating the random values works
    best when :math:`a \leq \text{mean} \leq b`.

    NOTE: this 'tf' variant behaves closer to Tensorflow / JAX impl where the
    bounds [a, b] are applied when sampling the normal distribution with mean=0, std=1.0
    and the result is subsquently scaled and shifted by the mean and std args.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        mean: the mean of the normal distribution
        std: the standard deviation of the normal distribution
        a: the minimum cutoff value
        b: the maximum cutoff value
    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.trunc_normal_(w)
    """
    with torch.no_grad():
        _trunc_normal_(tensor, 0, 1.0, a, b)
        tensor.mul_(std).add_(mean)
    return tensor


def variance_scaling_(tensor, scale=1.0, mode='fan_in', distribution='normal'):
    fan_in, fan_out = _calculate_fan_in_and_fan_out(tensor)
    if mode == 'fan_in':
        denom = fan_in
    elif mode == 'fan_out':
        denom = fan_out
    elif mode == 'fan_avg':
        denom = (fan_in + fan_out) / 2

    variance = scale / denom

    if distribution == "truncated_normal":
        # constant is stddev of standard normal truncated to (-2, 2)
        trunc_normal_tf_(tensor, std=math.sqrt(variance) / .87962566103423978)
    elif distribution == "normal":
        with torch.no_grad():
            tensor.normal_(std=math.sqrt(variance))
    elif distribution == "uniform":
        bound = math.sqrt(3 * variance)
        with torch.no_grad():
            tensor.uniform_(-bound, bound)
    else:
        raise ValueError(f"invalid distribution {distribution}")


def lecun_normal_(tensor):
    variance_scaling_(tensor, mode='fan_in', distribution='truncated_normal')