uki$ddlmZddlmZmZddlmZddlmZddl m Z ddl m Z ddl m Z ddlmZmZdd lmZdd lmZmZdd lZe d dd Ze dd d  ddZe d ddZ d ddZy )) annotations)overloadLiteral)config)lax) lax_numpy) reductions)ufuncs)_reduction_dimsAxis)promote_args_inexact)Array ArrayLikeNcyNaaxisbkeepdims return_signwheres O/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/jax/_src/ops/special.py logsumexpr"sux)rcyrrrs rrr&s ~Arcyrrrs rrr*s BErc ~|tj||d}|:td||\}}tj|dk7|tj }ntd|\}|}t ||\}} t j|j| ||tj } tjtjtj| | tj| d} |r| ntj| |} tj tj"|| j%|j&} |tj(| |} | j+| ||} tj,| }|s.tj.|j&tj0s t3| } tj4tj6| | j%| j&}|r||fS|tj.|j&tj0sgt9j:d5tj|dktj<tj>|j&|}ddd|S|S#1swY|SxYw)aqLog-sum-exp reduction. JAX implementation of :func:`scipy.special.logsumexp`. .. math:: \operatorname{logsumexp} a = \log \sum_i b_i \exp a_i where the :math:`i` indices range over one or more dimensions to be reduced. Args: a: the input array axis: int or sequence of ints, default=None. Axis along which the sum to be computed. If None, the sum is computed along all the axes. b: scaling factors for the exponentials. Must be broadcastable to the shape of `a`. keepdims: If ``True``, the axes that are reduced are left in the output as dimensions of size 1. return_sign: If ``True``, the output will be a ``(result, sign)`` pair, where ``sign`` is the sign of the sums and ``result`` contains the logarithms of their absolute values. If ``False`` only ``result`` is returned and it will contain NaN values if the sums are negative. where: Elements to include in the reduction. Returns: Either an array ``result`` or a pair of arrays ``(result, sign)``, depending on the value of the ``return_sign`` argument. See also: :func:`jax.nn.logmeanexp` Nrr)rrrinitial)rrrF)dtype) jnprr npinfr r maxrealr stop_gradientselectr isfinite full_like expand_dimsexpsubastyper!mulsumsign issubdtypecomplexfloatingabsaddlogr debug_nansarraynan)rrrrrra_arrb_arrpos_dimsdimsamaxamax_with_dimsexp_asumexpr1outs rrr.s>  %AA]' Q:LE5 IIeqj%"&& 1E !+q 1FE E"5$/.(D  XZX^X^W^ _$  3::food&;T3==QUWXCYZ [$#4x)H. ''#''%!6!6u{{!CD E%] GGE5 !E 99$9 ?& & $ ekk23E3EF [F V\\!:;# ;]2==B4F4FG   5 !I IIdQh "&& BC HcI **I *s AJ22J<)NNFFN)rrrr rArrayLike | NonerboolrzLiteral[False]rrCreturnr)NNF)rrrr rrCrrDrz Literal[True]rrCrEztuple[Array, Array])rrrr rrCrrDrrDrrCrEzArray | tuple[Array, Array]) __future__rtypingrrjax._srcr jax._src.laxrjax._src.numpyrr"r r jax._src.numpy.reductionsr r jax._src.numpy.utilr jax._src.typingrrnumpyr#rrrrrOs #$+%!;4,  EIeiyy3AyRbynsy y EI$A_cAA6CAL\Ah{A A EI[_EE37EHXEdE EFJ[_: : 37: HX: d: r