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import math
import warnings

import torch


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 (1.0 + math.erf(x / math.sqrt(2.0))) / 2.0

    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
    u1 = norm_cdf((a - mean) / std)
    u2 = norm_cdf((b - mean) / std)

    # Uniformly fill tensor with values from [u1, u2], then translate to
    # [2u1-1, 2u2-1].
    tensor.uniform_(2 * u1 - 1, 2 * u2 - 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(2.0))
    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=0.0, std=1.0, a=-2.0, b=2.0):
    # type: (Tensor, float, float, float, float) -> Tensor
    r"""Cut & paste from timm master
    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.
    """
    with torch.no_grad():
        return _trunc_normal_(tensor, mean, std, a, b)