Vpf7ddlmZddlmZmZddlZddlmZddlmZddl m Z m Z ddl m Z ddlmZmZddlZe dd dZe d!ddd"dZe dd#dZ dd#dZdS)$) annotations)overloadLiteralN)lax)numpy)_reduction_dimsAxis)promote_args_inexact)Array ArrayLikeFar axisr bArrayLike | Nonekeepdimsbool return_signLiteral[False]wherereturnr cdSNr rrrrrs T/var/www/html/nettyfy-visnx/env/lib/python3.11/site-packages/jax/_src/ops/special.py logsumexprsuxux)r Literal[True]tuple[Array, Array]cdSrrrs rrr#s~A~ArArray | tuple[Array, Array]cdSrrrs rrr'sBEBErc |:td||\}}tj|dk|tj }ntd|\}|}t ||\}} tj|j| ||tj } tjtj tj | | tj | d} |r| ntj | |} tj tj|| |j} |tj| |} | | ||} tj| }|s$t)j|jt(jst/| } tjtj| | | j}|r||fS|t)j|jt(jsit5jd5tj|dktjt(j|j|}dddn #1swxYwY|S)a@Log-sum-exp reduction. JAX implementation of :func:`scipy.special.logsumexp`. .. math:: \mathrm{logsumexp}(a) = \mathrm{log} \sum_j b \cdot \mathrm{exp}(a_{ij}) where the :math:`j` indices range over one or more dimensions to be reduced. Args: a: the input array axis: the axis or axes over which to reduce. May be either ``None``, an int, or a tuple of ints. b: scaling factors for :math:`\mathrm{exp}(a)`. 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. Nrr)rrrinitial)rrrF)dtype)r jnprinfrmaxrealr stop_gradientselectisfinite full_like expand_dimsexpsubastyper%mulsumsignnp issubdtypecomplexfloatingabsaddlogjax debug_nansarraynan)r rrrrra_arrb_arrpos_dimsdimsamaxamax_with_dimsexp_asumexpr4outs rrr+s`:]' Q::LE5 Ieqj%#' 2 2EE !+q 1 1FE E"5$//.(D $QTQXPX Y Y Y$ 3:cl4&8&8$ dTU@V@VWW X X$#H44x)H)H. '#'%!6!6u{!C!CDD E E%] GE5 ! !E 99$9 ? ?& &  $ ek23EFF [[F V\!:!:;;# ;]2=B4FGG]   II IdQh "& B B BC H HcIIIIIIIIIIIIIII *s)>I33I7:I7)NNFFN)r r rr rrrrrrrrrr )NNF)r r rr rrrrrrrrrr)r r rr rrrrrrrrrr!) __future__rtypingrrr;rrr&jax._src.numpy.reductionsrr jax._src.numpy.utilr jax._src.typingr r r5rrrrrMsx#"""""$$$$$$$$ ;;;;;;;;444444,,,,,,,,  EIeiyyyy y EI$A_cAAAAA A EI[_EEEE EFJ[_6 6 6 6 6 6 6 r