






import bisect
import copy
from collections import defaultdict

import numpy as np
from torch.utils.data import BatchSampler, Sampler

from utils import logger






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       lowercase__:    str        =      copy.deepcopy(snake_case_		)
       lowercase__:    Any        =      sorted(snake_case_		)
       lowercase__:    str        =      [bisect.bisect_right(snake_case_						,       snake_case_		) for y in x]
       return quantized






def     A(  snake_case_						,       snake_case_=0		):
       """simple docstring"""





       lowercase__:    List[Any]        =      np.arange(start=3						,       stop=snake_case_						,       step=4		).tolist() if k > 0 else [10]
       lowercase__:    str        =      _quantize(snake_case_						,       snake_case_		)
       # count number of elements per group
       lowercase__:    str        =      np.unique(snake_case_						,       return_counts=snake_case_		)[1]
       lowercase__:    List[str]        =      [0] + bins + [np.inf]
       logger.info("Using {} as bins for aspect lengths quantization".format(snake_case_		)		)
       logger.info("Count of instances per bin: {}".format(snake_case_		)		)
       return groups







class 		_a       (						lowercase_   ):





   '''simple docstring'''






   def __init__(   self			,				UpperCAmelCase_			,				UpperCAmelCase_			,				UpperCAmelCase_)	-> Optional[Any]:




          '''simple docstring'''




          if not isinstance(UpperCAmelCase_			,				UpperCAmelCase_):
                 raise ValueError(
                     "sampler should be an instance of torch.utils.data.Sampler, but got sampler={}".format(UpperCAmelCase_))
          lowercase__:    List[str]        =      sampler
          lowercase__:    Optional[int]        =      group_ids
          lowercase__:    List[str]        =      batch_size





   def __iter__(   self)	-> List[str]:




          '''simple docstring'''




          lowercase__:    Optional[Any]        =      defaultdict(UpperCAmelCase_)
          lowercase__:    List[Any]        =      defaultdict(UpperCAmelCase_)

          lowercase__:    Any        =      0
          for idx in self.sampler:
                 lowercase__:    List[Any]        =      self.group_ids[idx]
                 buffer_per_group[group_id].append(UpperCAmelCase_)
                 samples_per_group[group_id].append(UpperCAmelCase_)
                 if len(buffer_per_group[group_id]) == self.batch_size:
                        yield buffer_per_group[group_id]  # TODO
                        num_batches += 1
                        del buffer_per_group[group_id]
                 assert len(buffer_per_group[group_id]) < self.batch_size

          # now we have run out of elements that satisfy
          # the group criteria, let's return the remaining
          # elements so that the size of the sampler is
          # deterministic
          lowercase__:    str        =      len(self)
          lowercase__:    Any        =      expected_num_batches - num_batches
          if num_remaining > 0:
                 # for the remaining batches, group the batches by similar lengths
                 lowercase__:    int        =      []
                 for group_id, idxs in sorted(buffer_per_group.items()			,				key=lambda UpperCAmelCase_: x[0]):
                        batch_idx.extend(UpperCAmelCase_)
                        if len(UpperCAmelCase_) >= self.batch_size:
                               yield batch_idx[: self.batch_size]
                               lowercase__:    str        =      batch_idx[self.batch_size :]
                               num_remaining -= 1
                 if len(UpperCAmelCase_) > 0:
                        yield batch_idx
                        num_remaining -= 1
          assert num_remaining == 0





   def __len__(   self)	-> Union[str, Any]:




          '''simple docstring'''




          return (len(self.sampler) + self.batch_size - 1) // self.batch_size














"""simple docstring"""





import warnings
from collections.abc import Callable
from typing import Any

import numpy
from matplotlib import pyplot

UpperCamelCase			=      0.25 + 0.0j
UpperCamelCase			=      -0.4 + 0.6j
UpperCamelCase			=      -0.1 + 0.651j
UpperCamelCase			=      -2.0
UpperCamelCase			=      56
UpperCamelCase			=      2.0
UpperCamelCase			=      6_66






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       return numpy.exp(snake_case_		) + c_parameter






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       return z_values * z_values + c_parameter






def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       lowercase__:    str        =      numpy.linspace(-window_size						,       snake_case_						,       snake_case_		)
       lowercase__:    Union[str, Any]        =      x.reshape((nb_pixels, 1)		)
       lowercase__:    Any        =      numpy.linspace(-window_size						,       snake_case_						,       snake_case_		)
       lowercase__:    List[Any]        =      y.reshape((1, nb_pixels)		)
       return x + 1.0J * y






def     A(  snake_case_						,       snake_case_						,       snake_case_						,       snake_case_						,       snake_case_ = None						,       ):
       """simple docstring"""





       lowercase__:    List[Any]        =      z_a.astype("complex64"		)
       for _ in range(snake_case_		):
              lowercase__:    Any        =      eval_function(snake_case_						,       snake_case_		)
              if infinity is not None:
                     numpy.nan_to_num(snake_case_						,       copy=snake_case_						,       nan=snake_case_		)
                     lowercase__:    Union[str, Any]        =      infinity
       return z_n






def     A(  snake_case_						,       snake_case_						,       snake_case_						,       snake_case_						,       ):
       """simple docstring"""





       lowercase__:    Union[str, Any]        =      (abs(snake_case_		)).transpose()
       lowercase__:    List[Any]        =      abs_z_final[::-1, :]
       pyplot.matshow(abs_z_final < escape_radius		)
       pyplot.title(F"""Julia set of ${function_label}$, $c={function_params}$"""		)
       pyplot.show()






def     A(  ):
       """simple docstring"""





       warnings.filterwarnings(
           "ignore"						,       category=snake_case_						,       message="overflow encountered in multiply"		)
       warnings.filterwarnings(
           "ignore"						,       category=snake_case_						,       message="invalid value encountered in multiply"						,       )
       warnings.filterwarnings(
           "ignore"						,       category=snake_case_						,       message="overflow encountered in absolute"		)
       warnings.filterwarnings(
           "ignore"						,       category=snake_case_						,       message="overflow encountered in exp"		)


if __name__ == "__main__":
  UpperCamelCase			=      prepare_grid(window_size, nb_pixels)

  ignore_overflow_warnings()  # See file header for explanations

  UpperCamelCase			=      24
  UpperCamelCase			=      2 * abs(c_cauliflower) + 1
  UpperCamelCase			=      iterate_function(
      eval_quadratic_polynomial,
      c_cauliflower,
      nb_iterations,
      z_a,
      infinity=1.1 * escape_radius,
  )
  show_results("""z^2+c""", c_cauliflower, escape_radius, z_final)

  UpperCamelCase			=      64
  UpperCamelCase			=      2 * abs(c_polynomial_a) + 1
  UpperCamelCase			=      iterate_function(
      eval_quadratic_polynomial,
      c_polynomial_a,
      nb_iterations,
      z_a,
      infinity=1.1 * escape_radius,
  )
  show_results("""z^2+c""", c_polynomial_a, escape_radius, z_final)

  UpperCamelCase			=      1_61
  UpperCamelCase			=      2 * abs(c_polynomial_a) + 1
  UpperCamelCase			=      iterate_function(
      eval_quadratic_polynomial,
      c_polynomial_a,
      nb_iterations,
      z_a,
      infinity=1.1 * escape_radius,
  )
  show_results("""z^2+c""", c_polynomial_a, escape_radius, z_final)

  UpperCamelCase			=      12
  UpperCamelCase			=      10_000.0
  UpperCamelCase			=      iterate_function(
      eval_exponential,
      c_exponential,
      nb_iterations,
      z_a + 2,
      infinity=1.0e10,
  )
  show_results("""e^z+c""", c_exponential, escape_radius, z_final)






