





'''simple docstring'''




import os
import re
import shutil
import sys
import tempfile
import unittest

import black


lowercase__    :      Tuple						=    os.path.abspath(os.path.dirname(os.path.dirname(os.path.dirname(__file__))))
sys.path.append(os.path.join(git_repo_path, '''utils'''))

import check_copies  # noqa: E402


# This is the reference code that will be used in the tests.
# If DDPMSchedulerOutput is changed in scheduling_ddpm.py, this code needs to be manually updated.
lowercase__    :      Optional[int]						=    '''    \"""
    Output class for the scheduler\'s step function output.

    Args:
        prev_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):
            Computed sample (x_{t-1}) of previous timestep. `prev_sample` should be used as next model input in the
            denoising loop.
        pred_original_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):
            The predicted denoised sample (x_{0}) based on the model output from the current timestep.
            `pred_original_sample` can be used to preview progress or for guidance.
    \"""

    prev_sample: torch.FloatTensor
    pred_original_sample: Optional[torch.FloatTensor] = None
'''


class  SCREAMING_SNAKE_CASE    (unittest.TestCase							):


     def 							SCREAMING_SNAKE_CASE  (						self):

          '''simple docstring'''






          __A						: Union[str, Any]      =       tempfile.mkdtemp()
          os.makedirs(os.path.join(self.diffusers_dir						,	'schedulers/'))
          __A						: str      =       self.diffusers_dir
          shutil.copy(
              os.path.join(_UpperCAmelCase						,	'src/diffusers/schedulers/scheduling_ddpm.py')						,	os.path.join(self.diffusers_dir						,	'schedulers/scheduling_ddpm.py')						,	)


     def 							SCREAMING_SNAKE_CASE  (						self):

          '''simple docstring'''






          __A						: List[str]      =       'src/diffusers'
          shutil.rmtree(self.diffusers_dir)


     def 							SCREAMING_SNAKE_CASE  (						self						,	_UpperCAmelCase						,	_UpperCAmelCase						,	_UpperCAmelCase						,	_UpperCAmelCase=None):

          '''simple docstring'''






          __A						: List[Any]      =       comment + F'\nclass {class_name}(nn.Module):\n' + class_code
          if overwrite_result is not None:
               __A						: int      =       comment + F'\nclass {class_name}(nn.Module):\n' + overwrite_result
          __A						: Union[str, Any]      =       black.Mode(target_versions={black.TargetVersion.PYaa}						,	line_length=119)
          __A						: Optional[int]      =       black.format_str(_UpperCAmelCase						,	mode=_UpperCAmelCase)
          __A						: Tuple      =       os.path.join(self.diffusers_dir						,	'new_code.py')
          with open(_UpperCAmelCase						,	'w'						,	newline='\n') as f:
               f.write(_UpperCAmelCase)
          if overwrite_result is None:
               self.assertTrue(len(check_copies.is_copy_consistent(_UpperCAmelCase)) == 0)
          else:
               check_copies.is_copy_consistent(f.name						,	overwrite=_UpperCAmelCase)
               with open(_UpperCAmelCase						,	'r') as f:
                    self.assertTrue(f.read()						,	_UpperCAmelCase)


     def 							SCREAMING_SNAKE_CASE  (						self):

          '''simple docstring'''






          __A						: Union[str, Any]      =       check_copies.find_code_in_diffusers('schedulers.scheduling_ddpm.DDPMSchedulerOutput')
          self.assertEqual(_UpperCAmelCase						,	_UpperCAmelCase)


     def 							SCREAMING_SNAKE_CASE  (						self):

          '''simple docstring'''






          self.check_copy_consistency(
              '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput'						,	'DDPMSchedulerOutput'						,	REFERENCE_CODE + '\n'						,	)

          # With no empty line at the end
          self.check_copy_consistency(
              '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput'						,	'DDPMSchedulerOutput'						,	_UpperCAmelCase						,	)

          # Copy consistency with rename
          self.check_copy_consistency(
              '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->Test'						,	'TestSchedulerOutput'						,	re.sub('DDPM'						,	'Test'						,	_UpperCAmelCase)						,	)

          # Copy consistency with a really long name
          __A						: Tuple      =       'TestClassWithAReallyLongNameBecauseSomePeopleLikeThatForSomeReason'
          self.check_copy_consistency(
              F'# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->{long_class_name}'						,	F'{long_class_name}SchedulerOutput'						,	re.sub('Bert'						,	_UpperCAmelCase						,	_UpperCAmelCase)						,	)

          # Copy consistency with overwrite
          self.check_copy_consistency(
              '# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->Test'						,	'TestSchedulerOutput'						,	_UpperCAmelCase						,	overwrite_result=re.sub('DDPM'						,	'Test'						,	_UpperCAmelCase)						,	)






'''simple docstring'''




from __future__ import annotations

from numpy import array, cos, cross, floataa, radians, sin
from numpy.typing import NDArray






def        _lowerCAmelCase			(  __snake_case  : float ,							__snake_case  : float ,							__snake_case  : bool = False			)     ->     list[float]:
     if radian_mode:
          return [magnitude * cos(__snake_case			), magnitude * sin(__snake_case			)]
     return [magnitude * cos(radians(__snake_case			)			), magnitude * sin(radians(__snake_case			)			)]






def        _lowerCAmelCase			(  __snake_case  : NDArray[floataa] ,							__snake_case  : NDArray[floataa] ,							__snake_case  : float = 10**-1			)     ->     bool:
     __A						: NDArray[floataa]      =       cross(__snake_case ,							__snake_case			)
     __A						: float      =       sum(__snake_case			)
     return abs(__snake_case			) < eps


if __name__ == "__main__":
  # Test to check if it works
  lowercase__    :      List[Any]						=    array(
      [
          polar_force(718.4, 1_80 - 30),
          polar_force(879.54, 45),
          polar_force(1_00, -90),
      ]
  )

  lowercase__    :      NDArray[floataa]						=    array([[0, 0], [0, 0], [0, 0]])

  assert in_static_equilibrium(forces, location)

  # Problem 1 in image_data/2D_problems.jpg
  lowercase__    :      Dict						=    array(
      [
          polar_force(30 * 9.81, 15),
          polar_force(2_15, 1_80 - 45),
          polar_force(2_64, 90 - 30),
      ]
  )

  lowercase__    :      Any						=    array([[0, 0], [0, 0], [0, 0]])

  assert in_static_equilibrium(forces, location)

  # Problem in image_data/2D_problems_1.jpg
  lowercase__    :      Optional[int]						=    array([[0, -20_00], [0, -12_00], [0, 1_56_00], [0, -1_24_00]])

  lowercase__    :      Optional[int]						=    array([[0, 0], [6, 0], [10, 0], [12, 0]])

  assert in_static_equilibrium(forces, location)

  import doctest

  doctest.testmod()