Ë
    3êñia  ã                   ó  — d Z ddlZddlZddlmZ ddlmZmZ ddlm	Z	 ddl
Z
ddl
mZ g d¢Z ed«      Z e	d	«      Zed
   Zed   Z	 d2dededede
j$                  dz  def
d„Z	 d2dededede
j$                  dz  def
d„Z	 d2dededededede
j$                  dz  defd„Zdededefd„Zdedefd„Z	 d2dedeez  dz  defd„Z	 	 	 d3dededede
j$                  dz  def
d„Z	 	 	 d3dededede
j$                  dz  def
d„Z	 	 	 	 	 d4dededededede
j$                  dz  defd„Zdededefd„Zdedefd „Zdedefd!„Zdedefd"„Z d5ded#edefd$„Z!dede"eef   fd%„Z#	 	 d6ded&ede
j$                  dz  defd'„Z$	 	 d6ded&ede
j$                  dz  defd(„Z%ded)edefd*„Z&	 	 	 	 d7deded)edede
j$                  dz  defd+„Z'	 	 	 	 d7deded)edede
j$                  dz  defd,„Z(	 	 d8ded&ede
j$                  dz  defd-„Z)	 	 d9ded.edede
j$                  dz  def
d/„Z*d0eeef   deeef   fd1„Z+ e+e«      Z, e+e«      Z- e+e«      Z. e+e «      Z/ e+e!«      Z0 e+e$«      Z1 e+e%«      Z2 e+e'«      Z3 e+e(«      Z4 e+e)«      Z5 e+e*«      Z6y):zHThis file contains utilities for initializing neural network parameters.é    N)ÚCallable)ÚLiteralÚTypeVar)Ú	ParamSpec)ÚTensor)Úcalculate_gainÚuniform_Únormal_Útrunc_normal_Ú	constant_Úones_Úzeros_Úeye_Údirac_Úxavier_uniform_Úxavier_normal_Úkaiming_uniform_Úkaiming_normal_Úorthogonal_Úsparse_ÚuniformÚnormalÚconstantÚeyeÚdiracÚxavier_uniformÚxavier_normalÚkaiming_uniformÚkaiming_normalÚ
orthogonalÚsparseÚ_RÚ_P)ÚlinearÚconv1dÚconv2dÚconv3dÚconv_transpose1dÚconv_transpose2dÚconv_transpose3dÚsigmoidÚtanhÚreluÚ
leaky_reluÚselu)Úfan_inÚfan_outÚtensorÚaÚbÚ	generatorÚreturnc                 ó~   — t        j                  «       5  | j                  |||¬«      cd d d «       S # 1 sw Y   y xY w©N©r5   )ÚtorchÚno_gradr	   ©r2   r3   r4   r5   s       úO/var/www/pod-logistic/pod-ai/venv/lib/python3.12/site-packages/torch/nn/init.pyÚ_no_grad_uniform_r>   E   s4   € ô 
�‰‹ñ :Ø�‰˜q !¨yˆÓ9÷:÷ :ò :úó   •3³<ÚmeanÚstdc                 ó~   — t        j                  «       5  | j                  |||¬«      cd d d «       S # 1 sw Y   y xY wr8   )r:   r;   r
   ©r2   r@   rA   r5   s       r=   Ú_no_grad_normal_rD   L   s4   € ô 
�‰‹ñ >Ø�~‰~˜d C°9ˆ~Ó=÷>÷ >ò >úr?   c                 ó  — dt         dt         fd„}||d|z  z
  k  s||d|z  z   kD  rt        j                  dd¬«       t        j                  «       5   |||z
  |z  «      } |||z
  |z  «      }| j                  d|z  dz
  d|z  dz
  |¬«       | j                  «        | j                  |t        j                  d	«      z  «       | j                  |«       | j                  ||¬
«       | cd d d «       S # 1 sw Y   y xY w)NÚxr6   c                 ód   — dt        j                  | t        j                  d«      z  «      z   dz  S )Nç      ð?ç       @)ÚmathÚerfÚsqrt)rF   s    r=   Únorm_cdfz(_no_grad_trunc_normal_.<locals>.norm_cdf_   s(   € à”d—h‘h˜q¤4§9¡9¨S£>Ñ1Ó2Ñ2°cÑ9Ð9ó    é   zjmean is more than 2 std from [a, b] in nn.init.trunc_normal_. The distribution of values may be incorrect.©Ú
stacklevelé   r9   rI   )ÚminÚmax)ÚfloatÚwarningsÚwarnr:   r;   r	   Úerfinv_Úmul_rJ   rL   Úadd_Úclamp_)	r2   r@   rA   r3   r4   r5   rM   ÚlÚus	            r=   Ú_no_grad_trunc_normal_r^   V   sþ   € ð:”Eð :œeó :ð 	ˆq�1�s‘7‰{Ò  q¨1¨s©7¡{Ò 2Ü�‰ð;àõ	
ô 
�‰‹ñ ñ �a˜$‘h #Ñ%Ó&ˆÙ�a˜$‘h #Ñ%Ó&ˆð 	�‰˜˜A™ ™	 1 q¡5¨1¡9¸	ˆÔBð 	�‰Ôð 	�‰�Cœ$Ÿ)™) C›.Ñ(Ô)Ø�‰�DÔð 	�‰˜! ˆÔ#Ø÷+÷ ò ús   ÁBC5Ã5C>Úvalc                 óx   — t        j                  «       5  | j                  |«      cd d d «       S # 1 sw Y   y xY w©N)r:   r;   Úfill_©r2   r_   s     r=   Ú_no_grad_fill_rd   ‚   s,   € Ü	�‰‹ñ !Ø�|‰|˜CÓ ÷!÷ !ò !ús   •0°9c                 óv   — t        j                  «       5  | j                  «       cd d d «       S # 1 sw Y   y xY wra   )r:   r;   Úzero_©r2   s    r=   Ú_no_grad_zero_rh   ‡   s)   € Ü	�‰‹ñ Ø�|‰|‹~÷÷ ò ús   •/¯8ÚnonlinearityÚparamc                 ó\  — g d¢}| |v s| dk(  ry| dk(  ry| dk(  rt        j                  d«      S | dk(  re|€d	}nBt        |t        «      st        |t        «      st        |t
        «      r|}nt        d
|› d�«      ‚t        j                  dd|dz  z   z  «      S | dk(  r	 yt        d| › �«      ‚)aü  Return the recommended gain value for the given nonlinearity function.

    The values are as follows:

    ================= ====================================================
    nonlinearity      gain
    ================= ====================================================
    Linear / Identity :math:`1`
    Conv{1,2,3}D      :math:`1`
    Sigmoid           :math:`1`
    Tanh              :math:`\frac{5}{3}`
    ReLU              :math:`\sqrt{2}`
    Leaky Relu        :math:`\sqrt{\frac{2}{1 + \text{negative\_slope}^2}}`
    SELU              :math:`\frac{3}{4}`
    ================= ====================================================

    .. warning::
        In order to implement `Self-Normalizing Neural Networks`_ ,
        you should use ``nonlinearity='linear'`` instead of ``nonlinearity='selu'``.
        This gives the initial weights a variance of ``1 / N``,
        which is necessary to induce a stable fixed point in the forward pass.
        In contrast, the default gain for ``SELU`` sacrifices the normalization
        effect for more stable gradient flow in rectangular layers.

    Args:
        nonlinearity: the non-linear function (`nn.functional` name)
        param: optional parameter for the non-linear function

    Examples:
        >>> gain = nn.init.calculate_gain(
        ...     "leaky_relu", 0.2
        ... )  # leaky_relu with negative_slope=0.2

    .. _Self-Normalizing Neural Networks: https://papers.nips.cc/paper/2017/hash/5d44ee6f2c3f71b73125876103c8f6c4-Abstract.html
    )r$   r%   r&   r'   r(   r)   r*   r+   rR   r,   g«ªªªªªú?r-   rI   r.   ç{®Gáz„?znegative_slope z not a valid numberrO   r/   g      è?zUnsupported nonlinearity )rJ   rL   Ú
isinstanceÚboolÚintrU   Ú
ValueError)ri   rj   Ú
linear_fnsÚnegative_slopes       r=   r   r   Œ   sÎ   € òL€Jð �zÑ! \°YÒ%>ØØ	˜Ò	ØØ	˜Ò	Ü�y‰y˜‹~ÐØ	˜Ò	%Øˆ=Ø!‰Nä˜5¤$Ô'Ü˜5¤#Ô&Ü˜%¤Ô'ð #‰Nä˜¨u¨gÐ5HÐIÓJÐJÜ�y‰y˜  N°AÑ$5Ñ 5Ñ6Ó7Ð7Ø	˜Ò	àð	
ô Ð4°\°NÐCÓDÐDrN   c                 ó°   — t         j                  j                  | «      r*t         j                  j                  t        | f| |||¬«      S t        | |||«      S )a«  Fill the input Tensor with values drawn from the uniform distribution.

    :math:`\mathcal{U}(a, b)`.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        a: the lower bound of the uniform distribution
        b: the upper bound of the uniform distribution
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.uniform_(w)
    r<   )r:   Ú	overridesÚhas_torch_function_variadicÚhandle_torch_functionr	   r>   r<   s       r=   r	   r	   Ö   sT   € ô( ‡�×2Ñ2°6Ô:Ü�‰×4Ñ4Ü�v�i¨°!°qÀIð 5ó 
ð 	
ô ˜V Q¨¨9Ó5Ð5rN   c                 ó°   — t         j                  j                  | «      r*t         j                  j                  t        | f| |||¬«      S t        | |||«      S )aÁ  Fill the input Tensor with values drawn from the normal distribution.

    :math:`\mathcal{N}(\text{mean}, \text{std}^2)`.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        mean: the mean of the normal distribution
        std: the standard deviation of the normal distribution
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.normal_(w)
    rC   )r:   rt   ru   rv   r
   rD   rC   s       r=   r
   r
   ñ   sT   € ô( ‡�×2Ñ2°6Ô:Ü�‰×4Ñ4Ü�f�Y v°D¸cÈYð 5ó 
ð 	
ô ˜F D¨#¨yÓ9Ð9rN   c                 ó$   — t        | |||||¬«      S )a  Fill 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`.

    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
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.trunc_normal_(w)
    r9   )r^   )r2   r@   rA   r3   r4   r5   s         r=   r   r     s   € ô8 " &¨$°°Q¸ÀYÔOÐOrN   c                 ó¨   — t         j                  j                  | «      r(t         j                  j                  t        | f| |¬«      S t        | |«      S )zþFill the input Tensor with the value :math:`\text{val}`.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        val: the value to fill the tensor with

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.constant_(w, 0.3)
    rc   )r:   rt   ru   rv   r   rd   rc   s     r=   r   r   +  sL   € ô ‡�×2Ñ2°6Ô:Ü�‰×4Ñ4Ü˜�y¨°Sð 5ó 
ð 	
ô ˜& #Ó&Ð&rN   c                 ó   — t        | d«      S )z¾Fill the input Tensor with the scalar value `1`.

    Args:
        tensor: an n-dimensional `torch.Tensor`

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.ones_(w)
    rH   )rd   rg   s    r=   r   r   =  s   € ô ˜& #Ó&Ð&rN   c                 ó   — t        | «      S )z¿Fill the input Tensor with the scalar value `0`.

    Args:
        tensor: an n-dimensional `torch.Tensor`

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.zeros_(w)
    )rh   rg   s    r=   r   r   J  s   € ô ˜&Ó!Ð!rN   c                 óê   — | j                  «       dk7  rt        d«      ‚t        j                  «       5  t        j                  | j
                  | | j                  dœŽ ddd«       | S # 1 sw Y   | S xY w)a=  Fill the 2-dimensional input `Tensor` with the identity matrix.

    Preserves the identity of the inputs in `Linear` layers, where as
    many inputs are preserved as possible.

    Args:
        tensor: a 2-dimensional `torch.Tensor`

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.eye_(w)
    rO   ú,Only tensors with 2 dimensions are supported)ÚoutÚrequires_gradN)Ú
ndimensionrp   r:   r;   r   Úshaper   rg   s    r=   r   r   W  sa   € ð ×ÑÓ˜aÒÜÐGÓHÐHä	�‰‹ñ QÜ�	‰	�6—<‘< V¸6×;OÑ;OÓP÷Qà€M÷Qà€Mús   ³+A(Á(A2Úgroupsc                 ó¾  — | j                  «       }|dvrt        d«      ‚| j                  «       }|d   |z  dk7  rt        d«      ‚|d   |z  }t        ||d   «      }t	        j
                  «       5  | j                  «        t        |«      D ]·  }t        |«      D ]§  }|dk(  r!d| ||z  |z   || j                  d«      dz  f<   Œ)|dk(  r4d| ||z  |z   || j                  d«      dz  | j                  d«      dz  f<   Œbd| ||z  |z   || j                  d«      dz  | j                  d«      dz  | j                  d«      dz  f<   Œ© Œ¹ 	 d	d	d	«       | S # 1 sw Y   | S xY w)
aF  Fill the {3, 4, 5}-dimensional input `Tensor` with the Dirac delta function.

    Preserves the identity of the inputs in `Convolutional`
    layers, where as many input channels are preserved as possible. In case
    of groups>1, each group of channels preserves identity

    Args:
        tensor: a {3, 4, 5}-dimensional `torch.Tensor`
        groups (int, optional): number of groups in the conv layer (default: 1)
    Examples:
        >>> w = torch.empty(3, 16, 5, 5)
        >>> nn.init.dirac_(w)
        >>> w = torch.empty(3, 24, 5, 5)
        >>> nn.init.dirac_(w, 3)
    )é   é   é   z5Only tensors with 3, 4, or 5 dimensions are supportedr   z!dim 0 must be divisible by groupsrR   r„   rO   r…   N)r€   rp   ÚsizerS   r:   r;   rf   Úrange)r2   r‚   Ú
dimensionsÚsizesÚout_chans_per_grpÚmin_dimÚgÚds           r=   r   r   l  s•  € ð  ×"Ñ"Ó$€JØ˜Ñ"ÜÐPÓQÐQà�K‰K‹M€EàˆQ�x�&Ñ˜AÒÜÐ<Ó=Ð=à˜a™ FÑ*ÐÜÐ# U¨1¡XÓ.€Gä	�‰‹ñ Ø�‰Œä�v“ò 	ˆAÜ˜7“^ò �Ø ’?ØPQ�F˜1Ð0Ñ0°1Ñ4°a¸¿¹ÀQ»È1Ñ9LÐLÒMØ 1’_ð ð ØÐ-Ñ-°Ñ1ØØŸ™ A›¨!Ñ+ØŸ™ A›¨!Ñ+ð-òð ð ØÐ-Ñ-°Ñ1ØØŸ™ A›¨!Ñ+ØŸ™ A›¨!Ñ+ØŸ™ A›¨!Ñ+ð	-òññ	÷ð, €M÷-ð, €Mús   Á1CEÅEc                 óþ   — | j                  «       }|dk  rt        d«      ‚| j                  d«      }| j                  d«      }d}| j                  «       dkD  r| j                  dd  D ]  }||z  }Œ	 ||z  }||z  }||fS )NrO   zNFan in and fan out can not be computed for tensor with fewer than 2 dimensionsrR   r   )Údimrp   r‡   r�   )r2   r‰   Únum_input_fmapsÚnum_output_fmapsÚreceptive_field_sizeÚsr0   r1   s           r=   Ú_calculate_fan_in_and_fan_outr•   ¡  sœ   € Ø—‘“€JØ�A‚~ÜØ\ó
ð 	
ð —k‘k !“n€OØ—{‘{ 1“~ÐØÐØ‡z�zƒ|�aÒð —‘˜a˜bÐ!ò 	&ˆAØ  AÑ%Ñ ð	&àÐ3Ñ3€FØÐ!5Ñ5€Gà�7ˆ?ÐrN   Úgainc                 óº   — t        | «      \  }}|t        j                  dt        ||z   «      z  «      z  }t        j                  d«      |z  }t	        | | ||«      S )aì  Fill the input `Tensor` with values using a Xavier uniform distribution.

    The method is described in `Understanding the difficulty of training
    deep feedforward neural networks` - Glorot, X. & Bengio, Y. (2010).
    The resulting tensor will have values sampled from
    :math:`\mathcal{U}(-a, a)` where

    .. math::
        a = \text{gain} \times \sqrt{\frac{6}{\text{fan\_in} + \text{fan\_out}}}

    Also known as Glorot initialization.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        gain: an optional scaling factor
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.xavier_uniform_(w, gain=nn.init.calculate_gain("relu"))
    rI   ç      @)r•   rJ   rL   rU   r>   )r2   r–   r5   r0   r1   rA   r3   s          r=   r   r   ¶  sY   € ô4 4°FÓ;�O€FˆGØ
”—‘˜3¤ v°Ñ'7Ó!8Ñ8Ó9Ñ
9€CÜ�	‰	�#‹˜Ñ€Aä˜V a R¨¨IÓ6Ð6rN   c                 óˆ   — t        | «      \  }}|t        j                  dt        ||z   «      z  «      z  }t	        | d||«      S )aÔ  Fill the input `Tensor` with values using a Xavier normal distribution.

    The method is described in `Understanding the difficulty of training deep feedforward
    neural networks` - Glorot, X. & Bengio, Y. (2010). The resulting tensor
    will have values sampled from :math:`\mathcal{N}(0, \text{std}^2)` where

    .. math::
        \text{std} = \text{gain} \times \sqrt{\frac{2}{\text{fan\_in} + \text{fan\_out}}}

    Also known as Glorot initialization.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        gain: an optional scaling factor
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.xavier_normal_(w)
    rI   ç        )r•   rJ   rL   rU   rD   )r2   r–   r5   r0   r1   rA   s         r=   r   r   ×  sE   € ô2 4°FÓ;�O€FˆGØ
”—‘˜3¤ v°Ñ'7Ó!8Ñ8Ó9Ñ
9€Cä˜F C¨¨iÓ8Ð8rN   Úmodec                 ó‚   — |j                  «       }ddg}||vrt        d|› d|› �«      ‚t        | «      \  }}|dk(  r|S |S )Nr0   r1   zMode z" not supported, please use one of )Úlowerrp   r•   )r2   r›   Úvalid_modesr0   r1   s        r=   Ú_calculate_correct_fanrŸ   ö  sX   € à�:‰:‹<€DØ˜YÐ'€KØ�;ÑÜ˜5  Ð&HÈÈÐVÓWÐWä3°FÓ;�O€FˆGØ˜XÒ%ˆ6Ð2¨7Ð2rN   c           	      óò  — t         j                  j                  | «      r+t         j                  j                  t        | f| ||||¬«      S d| j
                  v rt        j                  dd¬«       | S t        | |«      }t        ||«      }|t        j                  |«      z  }t        j                  d«      |z  }t        j                  «       5  | j                  | ||¬«      cddd«       S # 1 sw Y   yxY w)	a¸  Fill the input `Tensor` with values using a Kaiming uniform distribution.

    The method is described in `Delving deep into rectifiers: Surpassing
    human-level performance on ImageNet classification` - He, K. et al. (2015).
    The resulting tensor will have values sampled from
    :math:`\mathcal{U}(-\text{bound}, \text{bound})` where

    .. math::
        \text{bound} = \text{gain} \times \sqrt{\frac{3}{\text{fan\_mode}}}

    Also known as He initialization.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        a: the negative slope of the rectifier used after this layer (only
            used with ``'leaky_relu'``)
        mode: either ``'fan_in'`` (default) or ``'fan_out'``. Choosing ``'fan_in'``
            preserves the magnitude of the variance of the weights in the
            forward pass. Choosing ``'fan_out'`` preserves the magnitudes in the
            backwards pass.
        nonlinearity: the non-linear function (`nn.functional` name),
            recommended to use only with ``'relu'`` or ``'leaky_relu'`` (default).
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.kaiming_uniform_(w, mode="fan_in", nonlinearity="relu")

    Note:
        Be aware that ``fan_in`` and ``fan_out`` are calculated assuming
        that the weight matrix is used in a transposed manner,
        (i.e., ``x @ w.T`` in ``Linear`` layers, where ``w.shape = [fan_out, fan_in]``).
        This is important for correct initialization.
        If you plan to use ``x @ w``, where ``w.shape = [fan_in, fan_out]``,
        pass in a transposed weight matrix, i.e. ``nn.init.kaiming_uniform_(w.T, ...)``.
    )r2   r3   r›   ri   r5   r   ú,Initializing zero-element tensors is a no-oprO   rP   r˜   r9   N)r:   rt   ru   rv   r   r�   rV   rW   rŸ   r   rJ   rL   r;   r	   )	r2   r3   r›   ri   r5   Úfanr–   rA   Úbounds	            r=   r   r     sß   € ôV ‡�×2Ñ2°6Ô:Ü�‰×4Ñ4ÜØˆIØØØØ%Øð 5ó 
ð 	
ð 	ˆF�L‰LÑÜ�‰ÐDÐQRÕSØˆÜ
  ¨Ó
.€CÜ˜,¨Ó*€DØ
”—‘˜3“Ñ
€CÜ�I‰I�c‹N˜SÑ €EÜ	�‰‹ñ CØ�‰ ˜v u¸	ˆÓB÷C÷ Cò Cús   ÃC-Ã-C6c                 ó,  — d| j                   v rt        j                  dd¬«       | S t        | |«      }t	        ||«      }|t        j                  |«      z  }t        j                  «       5  | j                  d||¬«      cddd«       S # 1 sw Y   yxY w)aŸ  Fill the input `Tensor` with values using a Kaiming normal distribution.

    The method is described in `Delving deep into rectifiers: Surpassing
    human-level performance on ImageNet classification` - He, K. et al. (2015).
    The resulting tensor will have values sampled from
    :math:`\mathcal{N}(0, \text{std}^2)` where

    .. math::
        \text{std} = \frac{\text{gain}}{\sqrt{\text{fan\_mode}}}

    Also known as He initialization.

    Args:
        tensor: an n-dimensional `torch.Tensor`
        a: the negative slope of the rectifier used after this layer (only
            used with ``'leaky_relu'``)
        mode: either ``'fan_in'`` (default) or ``'fan_out'``. Choosing ``'fan_in'``
            preserves the magnitude of the variance of the weights in the
            forward pass. Choosing ``'fan_out'`` preserves the magnitudes in the
            backwards pass.
        nonlinearity: the non-linear function (`nn.functional` name),
            recommended to use only with ``'relu'`` or ``'leaky_relu'`` (default).
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.kaiming_normal_(w, mode="fan_out", nonlinearity="relu")

    Note:
        Be aware that ``fan_in`` and ``fan_out`` are calculated assuming
        that the weight matrix is used in a transposed manner,
        (i.e., ``x @ w.T`` in ``Linear`` layers, where ``w.shape = [fan_out, fan_in]``).
        This is important for correct initialization.
        If you plan to use ``x @ w``, where ``w.shape = [fan_in, fan_out]``,
        pass in a transposed weight matrix, i.e. ``nn.init.kaiming_normal_(w.T, ...)``.
    r   r¡   rO   rP   r9   N)
r�   rV   rW   rŸ   r   rJ   rL   r:   r;   r
   )r2   r3   r›   ri   r5   r¢   r–   rA   s           r=   r   r   B  s€   € ðV 	ˆF�L‰LÑÜ�‰ÐDÐQRÕSØˆÜ
  ¨Ó
.€CÜ˜,¨Ó*€DØ
”—‘˜3“Ñ
€CÜ	�‰‹ñ ;Ø�~‰~˜a °	ˆ~Ó:÷;÷ ;ò ;ús   Á,B
Â
Bc                 ó¢  — | j                  «       dk  rt        d«      ‚| j                  «       dk(  r| S | j                  d«      }| j                  «       |z  }| j	                  ||f«      j                  dd|¬«      }||k  r|j                  «        t        j                  j                  |«      \  }}t        j                  |d«      }|j                  «       }	||	z  }||k  r|j                  «        t        j                  «       5  | j                  |«      j                  |«       | j                  |«       ddd«       | S # 1 sw Y   | S xY w)a   Fill the input `Tensor` with a (semi) orthogonal matrix.

    Described in `Exact solutions to the nonlinear dynamics of learning in deep
    linear neural networks` - Saxe, A. et al. (2013). The input tensor must have
    at least 2 dimensions, and for tensors with more than 2 dimensions the
    trailing dimensions are flattened.

    Args:
        tensor: an n-dimensional `torch.Tensor`, where :math:`n \geq 2`
        gain: optional scaling factor
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> # xdoctest: +REQUIRES(env:TORCH_DOCTEST_LAPACK)
        >>> w = torch.empty(3, 5)
        >>> nn.init.orthogonal_(w)
    rO   z4Only tensors with 2 or more dimensions are supportedr   rR   r9   N)r€   rp   Únumelr‡   Ú	new_emptyr
   Út_r:   ÚlinalgÚqrÚdiagÚsignr;   Úview_asÚcopy_rY   )
r2   r–   r5   ÚrowsÚcolsÚ	flattenedÚqÚrrŽ   Úphs
             r=   r   r   w  s  € ð, ×ÑÓ˜QÒÜÐOÓPÐPà‡|�|ƒ~˜ÒàˆØ�;‰;�q‹>€DØ�<‰<‹>˜TÑ!€DØ× Ñ  $¨ Ó.×6Ñ6°q¸!ÀyÐ6ÓQ€Iàˆd‚{Ø�‰Œô �<‰<�?‰?˜9Ó%�D€A€qä�
‰
�1�aÓ€AØ	
�‰‹€BØˆ�G€Aàˆd‚{Ø	�‰Œä	�‰‹ñ Ø�‰�qÓ×Ñ Ô"Ø�‰�DÔ÷ð €M÷ð €Mús   Ä2EÅEÚsparsityc                 óp  — | j                  «       dk7  rt        d«      ‚| j                  \  }}t        j                  ||z  «      }t        j                  «       5  | j                  d||¬«       t        |«      D ]#  }t        j                  |«      }|d| }	d| |	|f<   Œ% 	 ddd«       | S # 1 sw Y   | S xY w)aŽ  Fill the 2D input `Tensor` as a sparse matrix.

    The non-zero elements will be drawn from the normal distribution
    :math:`\mathcal{N}(0, 0.01)`, as described in `Deep learning via
    Hessian-free optimization` - Martens, J. (2010).

    Args:
        tensor: an n-dimensional `torch.Tensor`
        sparsity: The fraction of elements in each column to be set to zero
        std: the standard deviation of the normal distribution used to generate
            the non-zero values
        generator: the torch Generator to sample from (default: None)

    Examples:
        >>> w = torch.empty(3, 5)
        >>> nn.init.sparse_(w, sparsity=0.1)
    rO   r}   r   r9   N)
r€   rp   r�   rJ   Úceilr:   r;   r
   rˆ   Úrandperm)
r2   rµ   rA   r5   r¯   r°   Ú	num_zerosÚcol_idxÚrow_indicesÚzero_indicess
             r=   r   r   ª  sµ   € ð. ×ÑÓ˜aÒÜÐGÓHÐHà—‘�J€Dˆ$Ü—	‘	˜( T™/Ó*€Iä	�‰‹ñ .Ø�‰�q˜#¨ˆÔ3Ü˜T“{ò 	.ˆGÜŸ.™.¨Ó.ˆKØ& z¨	Ð2ˆLØ,-ˆF�< Ð(Ò)ñ	.÷.ð €M÷.ð €Mús   ÁAB+Â+B5Úmethc                 óº   ‡ ‡‡— ‰ j                   Š‰d d Šdt        j                  dt        j                  dt        fˆ ˆˆfd„}d‰› d‰› d‰› d	�|_        ‰|_         |S )
NéÿÿÿÿÚargsÚkwargsr6   c                  óZ   •— t        j                  d‰› d‰› d�t        d¬«        ‰| i |¤ŽS )Nz	`nn.init.z)` is now deprecated in favor of `nn.init.z`.rO   rP   )rV   rW   ÚFutureWarning)rÀ   rÁ   r½   Únew_nameÚold_names     €€€r=   Údeprecated_initz(_make_deprecate.<locals>.deprecated_initÕ  s;   ø€ Ü�‰Ø˜�zÐ!JÈ8È*ÐTVÐWÜØõ	
ñ
 �TÐ$˜VÑ$Ð$rN   z
    z_(...)

    .. warning::
        This method is now deprecated in favor of :func:`torch.nn.init.z"`.

    See :func:`~torch.nn.init.z` for details.)Ú__name__r#   rÀ   rÁ   r"   Ú__doc__)r½   rÆ   rÄ   rÅ   s   ` @@r=   Ú_make_deprecaterÉ   Ñ  sy   ú€ Ø�}‰}€HØ˜˜ˆ}€Hð%œrŸw™wð %´"·)±)ð %Ä÷ %ð$Ø€Jð Hð IQÀzð Rà'˜j¨ð:€OÔð  (€OÔØÐrN   ra   )rš   rH   N)rš   rH   g       ÀrI   N)rR   )rH   N)r   r0   r.   N)rR   N)rl   N)7rÈ   rJ   rV   Úcollections.abcr   Útypingr   r   Útyping_extensionsr   r:   r   Ú__all__r"   r#   Ú_NonlinearityTypeÚ_FanModerU   Ú	Generatorr>   rD   r^   rd   rh   ro   r   r	   r
   r   r   r   r   r   r   Útupler•   r   r   rŸ   r   r   r   r   rÉ   r   r   r   r   r   r   r   r   r   r    r!   © rN   r=   ú<module>rÓ      sb  ðÙ Nã Û Ý $ß #Ý 'ã Ý ò€ñ> ˆTƒ]€Ùˆtƒ_€àðñÐ ð Ð&Ñ'€ð MQñ:Øð:Øð:Ø!&ð:Ø38·?±?ÀTÑ3Ið:àó:ð )-ñ	>Øð>à
ð>ð 
ð>ð �‰ Ñ%ð	>ð
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˜6ð  fó ð BFñGEØ#ðGEØ,/°%©K¸$Ñ,>ðGEà
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