
from typing import Dict

import numpy as np
import torch

from . import residue_constants as rc
from .tensor_utils import tensor_tree_map, tree_map
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     Dict[str, torch.Tensor]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				[]
   _SCREAMING_SNAKE_CASE      =				[]
   _SCREAMING_SNAKE_CASE      =				[]

   for rt in rc.restypes:
      _SCREAMING_SNAKE_CASE      =				rc.restype_name_to_atomaa_names[rc.restype_atoa[rt]]
      restype_atomaa_to_atomaa_list.append([(rc.atom_order[name] if name else 0) for name in atom_names]						)
      _SCREAMING_SNAKE_CASE      =				{name: i for i, name in enumerate(SCREAMING_SNAKE_CASE_						)}
      restype_atomaa_to_atomaa_list.append(
          [(atom_name_to_idxaa[name] if name in atom_name_to_idxaa else 0) for name in rc.atom_types]						)

      restype_atomaa_mask_list.append([(1.0 if name else 0.0) for name in atom_names]						)

   # Add dummy mapping for restype 'UNK'
   restype_atomaa_to_atomaa_list.append([0] * 14						)
   restype_atomaa_to_atomaa_list.append([0] * 37						)
   restype_atomaa_mask_list.append([0.0] * 14						)

   _SCREAMING_SNAKE_CASE      =				torch.tensor(
       SCREAMING_SNAKE_CASE_    ,      dtype=torch.intaa    ,      device=protein["""aatype"""].device    ,      )
   _SCREAMING_SNAKE_CASE      =				torch.tensor(
       SCREAMING_SNAKE_CASE_    ,      dtype=torch.intaa    ,      device=protein["""aatype"""].device    ,      )
   _SCREAMING_SNAKE_CASE      =				torch.tensor(
       SCREAMING_SNAKE_CASE_    ,      dtype=torch.floataa    ,      device=protein["""aatype"""].device    ,      )
   _SCREAMING_SNAKE_CASE      =				protein["""aatype"""].to(torch.long						)

   # create the mapping for (residx, atom14) --> atom37, i.e. an array
   # with shape (num_res, 14) containing the atom37 indices for this protein
   _SCREAMING_SNAKE_CASE      =				restype_atomaa_to_atomaa[protein_aatype]
   _SCREAMING_SNAKE_CASE      =				restype_atomaa_mask[protein_aatype]

   _SCREAMING_SNAKE_CASE      =				residx_atomaa_mask
   _SCREAMING_SNAKE_CASE      =				residx_atomaa_to_atomaa.long()

   # create the gather indices for mapping back
   _SCREAMING_SNAKE_CASE      =				restype_atomaa_to_atomaa[protein_aatype]
   _SCREAMING_SNAKE_CASE      =				residx_atomaa_to_atomaa.long()

   # create the corresponding mask
   _SCREAMING_SNAKE_CASE      =				torch.zeros([21, 37]    ,      dtype=torch.floataa    ,      device=protein["""aatype"""].device						)
   for restype, restype_letter in enumerate(rc.restypes						):
      _SCREAMING_SNAKE_CASE      =				rc.restype_atoa[restype_letter]
      _SCREAMING_SNAKE_CASE      =				rc.residue_atoms[restype_name]
      for atom_name in atom_names:
         _SCREAMING_SNAKE_CASE      =				rc.atom_order[atom_name]
         _SCREAMING_SNAKE_CASE      =				1

   _SCREAMING_SNAKE_CASE      =				restype_atomaa_mask[protein_aatype]
   _SCREAMING_SNAKE_CASE      =				residx_atomaa_mask

   return protein







def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     Dict[str, np.ndarray]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				tree_map(lambda SCREAMING_SNAKE_CASE_						: torch.tensor(SCREAMING_SNAKE_CASE_    ,      device=batch["""aatype"""].device						)    ,      SCREAMING_SNAKE_CASE_    ,      np.ndarray						)
   _SCREAMING_SNAKE_CASE      =				tensor_tree_map(lambda SCREAMING_SNAKE_CASE_						: np.array(SCREAMING_SNAKE_CASE_						)    ,      make_atomaa_masks(SCREAMING_SNAKE_CASE_						)						)
   return out








'''simple docstring'''



import math
from collections.abc import Iterator
from itertools import takewhile
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     bool:




   """simple docstring"""

   if 1 < number < 4:
      # 2 and 3 are primes
      return True
   elif number < 2 or number % 2 == 0 or number % 3 == 0:
      # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
      return False

   # All primes number are in format of 6k +/- 1
   for i in range(5    ,      int(math.sqrt(SCREAMING_SNAKE_CASE_						) + 1						)    ,      6						):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True
def    lowerCAmelCase_	(				)     ->     Iterator[int]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				2
   while True:
      if is_prime(SCREAMING_SNAKE_CASE_						):
         yield num
      num += 1
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_ = 2_00_00_00						)     ->     int:




   """simple docstring"""
   return sum(takewhile(lambda SCREAMING_SNAKE_CASE_						: x < n    ,      prime_generator()						)						)


if __name__ == "__main__":
     print(f"""{solution() = }""")






