o h @s&ddlmZddlZGdddZdS))OptionalNc @seZdZdZdZdZdddZ   dd ed ee j d ee j d e j fd dZ  dded ee j d ee j d e j fddZ ddZddZddZddZdS) SobolEnginea The :class:`torch.quasirandom.SobolEngine` is an engine for generating (scrambled) Sobol sequences. Sobol sequences are an example of low discrepancy quasi-random sequences. This implementation of an engine for Sobol sequences is capable of sampling sequences up to a maximum dimension of 21201. It uses direction numbers from https://web.maths.unsw.edu.au/~fkuo/sobol/ obtained using the search criterion D(6) up to the dimension 21201. This is the recommended choice by the authors. References: - Art B. Owen. Scrambling Sobol and Niederreiter-Xing points. Journal of Complexity, 14(4):466-489, December 1998. - I. M. Sobol. The distribution of points in a cube and the accurate evaluation of integrals. Zh. Vychisl. Mat. i Mat. Phys., 7:784-802, 1967. Args: dimension (Int): The dimensionality of the sequence to be drawn scramble (bool, optional): Setting this to ``True`` will produce scrambled Sobol sequences. Scrambling is capable of producing better Sobol sequences. Default: ``False``. seed (Int, optional): This is the seed for the scrambling. The seed of the random number generator is set to this, if specified. Otherwise, it uses a random seed. Default: ``None`` Examples:: >>> # xdoctest: +SKIP("unseeded random state") >>> soboleng = torch.quasirandom.SobolEngine(dimension=5) >>> soboleng.draw(3) tensor([[0.0000, 0.0000, 0.0000, 0.0000, 0.0000], [0.5000, 0.5000, 0.5000, 0.5000, 0.5000], [0.7500, 0.2500, 0.2500, 0.2500, 0.7500]]) iRFNcCs||jks |dkrtd|jd||_||_||_td}tj||j|tj d|_ t |j |j|jsCtj|j|tj d|_ n| |j jtjd|_|jd|jdd|_d |_dS) Nz9Supported range of dimensionality for SobolEngine is [1, ]cpu)devicedtype) memory_formatr)MAXDIM ValueErrorseedscramble dimensiontorchrzerosMAXBITlong sobolstate_sobol_engine_initialize_state_shift _scrambleclonecontiguous_formatquasireshape _first_point num_generated)selfrrrrr!e/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/torch/quasirandom.py__init__3s(   zSobolEngine.__init__rnoutr returncCs|durt}|jdkr:|dkr|j|}n6tj|j|d|j|j|j|d\}|_tj |j||fdd}ntj|j||j|j|jd|d\}|_|j|7_|durc| | ||S|S)ak Function to draw a sequence of :attr:`n` points from a Sobol sequence. Note that the samples are dependent on the previous samples. The size of the result is :math:`(n, dimension)`. Args: n (Int, optional): The length of sequence of points to draw. Default: 1 out (Tensor, optional): The output tensor dtype (:class:`torch.dtype`, optional): the desired data type of the returned tensor. Default: ``None`` Nrr)r )dim) rget_default_dtyperrto_sobol_engine_drawrrrcat resize_as_copy_)r r$r%r resultr!r!r"drawNs6    zSobolEngine.drawmc CsXd|}|j|}||d@dks$td|jd|jd|d|d |j|||d S) aI Function to draw a sequence of :attr:`2**m` points from a Sobol sequence. Note that the samples are dependent on the previous samples. The size of the result is :math:`(2**m, dimension)`. Args: m (Int): The (base2) exponent of the number of points to draw. out (Tensor, optional): The output tensor dtype (:class:`torch.dtype`, optional): the desired data type of the returned tensor. Default: ``None`` r rrzFThe balance properties of Sobol' points require n to be a power of 2. z0 points have been previously generated, then: n=z+2**=zH. If you still want to do this, please use 'SobolEngine.draw()' instead.)r$r%r )rrr0)r r1r%r r$total_nr!r!r" draw_base2s zSobolEngine.draw_base2cCs|j|jd|_|S)zF Function to reset the ``SobolEngine`` to base state. r)rr.rr)r r!r!r"resetszSobolEngine.resetcCsZ|jdkrt|j|d|j|j|jnt|j||j|j|jd|j|7_|S)a Function to fast-forward the state of the ``SobolEngine`` by :attr:`n` steps. This is equivalent to drawing :attr:`n` samples without using the samples. Args: n (Int): The number of steps to fast-forward by. rr)rr_sobol_engine_ff_rrr)r r$r!r!r" fast_forwards zSobolEngine.fast_forwardc Csd}|jdurt}||jtd}tjd|j|jf||d}t|t dtj d|j|d|_ |j|j|jf}tjd|||d }t |j||jdS)Nrr )r generatorr)r)rr Generator manual_seedrrandintrrmvpowarangertril_sobol_engine_scramble_r)r gr shift_intsltm_dimsltmr!r!r"rs   zSobolEngine._scramblecCsTd|jg}|jr|dg7}|jdur|d|jg7}|jjdd|dS)Nz dimension=z scramble=Truezseed=(z, ))rrr __class____name__join)r fmt_stringr!r!r"__repr__s   zSobolEngine.__repr__)FN)rNN)NN)rH __module__ __qualname____doc__rr r#intrrTensorr r0r4r5r7rrKr!r!r!r"rs@(  8  r)typingrrrr!r!r!r"s