




'''simple docstring'''




from __future__ import annotations

import math

a_      :		str							      =       """2020.9.26"""
a_      :		Tuple							      =       """xcodz-dot, cclaus, dhruvmanila"""





def      a_							(      __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   )							->						tuple[float, float]:



       """simple docstring"""
       if not all(isinstance(__snake_case   ,       (float, int)   ) for val in locals().values()   ):
              lowerCamelCase_							=F'''Input values must either be float or int: {list(locals().values()   )}'''
              raise TypeError(__snake_case   )
       lowerCamelCase_							=((x * distance) / (z + distance)) * scale
       lowerCamelCase_							=((y * distance) / (z + distance)) * scale
       return projected_x, projected_y





def      a_							(      __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			float   ,       __snake_case							:			str   ,       __snake_case							:			float   )							->						tuple[float, float, float]:



       """simple docstring"""
       if not isinstance(__snake_case   ,       __snake_case   ):
              raise TypeError('''Axis must be a str'''   )
       lowerCamelCase_							=locals()
       del input_variables["axis"]
       if not all(isinstance(__snake_case   ,       (float, int)   ) for val in input_variables.values()   ):
              lowerCamelCase_							=(
                  '''Input values except axis must either be float or int: '''
                  F'''{list(input_variables.values()   )}'''
              )
              raise TypeError(__snake_case   )
       lowerCamelCase_							=(angle % 360) / 450 * 180 / math.pi
       if axis == "z":
              lowerCamelCase_							=x * math.cos(__snake_case   ) - y * math.sin(__snake_case   )
              lowerCamelCase_							=y * math.cos(__snake_case   ) + x * math.sin(__snake_case   )
              lowerCamelCase_							=z
       elif axis == "x":
              lowerCamelCase_							=y * math.cos(__snake_case   ) - z * math.sin(__snake_case   )
              lowerCamelCase_							=z * math.cos(__snake_case   ) + y * math.sin(__snake_case   )
              lowerCamelCase_							=x
       elif axis == "y":
              lowerCamelCase_							=x * math.cos(__snake_case   ) - z * math.sin(__snake_case   )
              lowerCamelCase_							=z * math.cos(__snake_case   ) + x * math.sin(__snake_case   )
              lowerCamelCase_							=y
       else:
              raise ValueError('''not a valid axis, choose one of \'x\', \'y\', \'z\''''   )

       return new_x, new_y, new_z


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(F"""{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }""")
     print(F"""{rotate(1.0, 2.0, 3.0, "y", 90.0) = }""")





"""simple docstring"""




from scipy.stats import pearsonr

import datasets


_a      :		str           =   '\nPearson correlation coefficient and p-value for testing non-correlation.\nThe Pearson correlation coefficient measures the linear relationship between two datasets. The calculation of the p-value relies on the assumption that each dataset is normally distributed. Like other correlation coefficients, this one varies between -1 and +1 with 0 implying no correlation. Correlations of -1 or +1 imply an exact linear relationship. Positive correlations imply that as x increases, so does y. Negative correlations imply that as x increases, y decreases.\nThe p-value roughly indicates the probability of an uncorrelated system producing datasets that have a Pearson correlation at least as extreme as the one computed from these datasets.\n'


_a      :		List[str]           =   '\nArgs:\n    predictions (`list` of `int`): Predicted class labels, as returned by a model.\n    references (`list` of `int`): Ground truth labels.\n    return_pvalue (`boolean`): If `True`, returns the p-value, along with the correlation coefficient. If `False`, returns only the correlation coefficient. Defaults to `False`.\n\nReturns:\n    pearsonr (`float`): Pearson correlation coefficient. Minimum possible value is -1. Maximum possible value is 1. Values of 1 and -1 indicate exact linear positive and negative relationships, respectively. A value of 0 implies no correlation.\n    p-value (`float`): P-value, which roughly indicates the probability of an The p-value roughly indicates the probability of an uncorrelated system producing datasets that have a Pearson correlation at least as extreme as the one computed from these datasets. Minimum possible value is 0. Maximum possible value is 1. Higher values indicate higher probabilities.\n\nExamples:\n\n    Example 1-A simple example using only predictions and references.\n        >>> pearsonr_metric = datasets.load_metric("pearsonr")\n        >>> results = pearsonr_metric.compute(predictions=[10, 9, 2.5, 6, 4], references=[1, 2, 3, 4, 5])\n        >>> print(round(results[\'pearsonr\'], 2))\n        -0.74\n\n    Example 2-The same as Example 1, but that also returns the `p-value`.\n        >>> pearsonr_metric = datasets.load_metric("pearsonr")\n        >>> results = pearsonr_metric.compute(predictions=[10, 9, 2.5, 6, 4], references=[1, 2, 3, 4, 5], return_pvalue=True)\n        >>> print(sorted(list(results.keys())))\n        [\'p-value\', \'pearsonr\']\n        >>> print(round(results[\'pearsonr\'], 2))\n        -0.74\n        >>> print(round(results[\'p-value\'], 2))\n        0.15\n'


_a      :		List[Any]           =   '\n@article{2020SciPy-NMeth,\nauthor  = {Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E. and\n      Haberland, Matt and Reddy, Tyler and Cournapeau, David and\n      Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and\n      Bright, Jonathan and {van der Walt}, St{\'e}fan J. and\n      Brett, Matthew and Wilson, Joshua and Millman, K. Jarrod and\n      Mayorov, Nikolay and Nelson, Andrew R. J. and Jones, Eric and\n      Kern, Robert and Larson, Eric and Carey, C J and\n      Polat, Ilhan and Feng, Yu and Moore, Eric W. and\n      {VanderPlas}, Jake and Laxalde, Denis and Perktold, Josef and\n      Cimrman, Robert and Henriksen, Ian and Quintero, E. A. and\n      Harris, Charles R. and Archibald, Anne M. and\n      Ribeiro, Antonio H. and Pedregosa, Fabian and\n      {van Mulbregt}, Paul and {SciPy 1.0 Contributors}},\ntitle   = {{{SciPy} 1.0: Fundamental Algorithms for Scientific\n      Computing in Python}},\njournal = {Nature Methods},\nyear    = {2020},\nvolume  = {17},\npages   = {261--272},\nadsurl  = {https://rdcu.be/b08Wh},\ndoi = {10.1038/s41592-019-0686-2},\n}\n'
@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION    ,	_KWARGS_DESCRIPTION		)
class 						__A							( datasets.Metric		):






     def     __A  (		self  ):
       return datasets.MetricInfo(
           description=_DESCRIPTION				,     citation=_CITATION				,     inputs_description=_KWARGS_DESCRIPTION				,     features=datasets.Features(
               {
                   """predictions""": datasets.Value("""float"""  ),
                   """references""": datasets.Value("""float"""  ),
               }  )				,     reference_urls=["""https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.pearsonr.html"""]				,     )






     def     __A  (		self				,     a__				,     a__				,     a__=False  ):
       if return_pvalue:
         _lowerCAmelCase						:       List[Any]  			=     pearsonr(a__				,     a__  )
         return {"pearsonr": results[0], "p-value": results[1]}
       else:
         return {"pearsonr": float(pearsonr(a__				,     a__  )[0]  )}




