'''simple docstring'''
from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_torch_available,
)


_A		:      int						   ={
    '''auto_factory''': ['''get_values'''],
    '''configuration_auto''': ['''ALL_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''CONFIG_MAPPING''', '''MODEL_NAMES_MAPPING''', '''AutoConfig'''],
    '''feature_extraction_auto''': ['''FEATURE_EXTRACTOR_MAPPING''', '''AutoFeatureExtractor'''],
    '''image_processing_auto''': ['''IMAGE_PROCESSOR_MAPPING''', '''AutoImageProcessor'''],
    '''processing_auto''': ['''PROCESSOR_MAPPING''', '''AutoProcessor'''],
    '''tokenization_auto''': ['''TOKENIZER_MAPPING''', '''AutoTokenizer'''],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 _A		:      List[str]						   =[
     '''MODEL_FOR_AUDIO_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_AUDIO_FRAME_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_AUDIO_XVECTOR_MAPPING''',
     '''MODEL_FOR_BACKBONE_MAPPING''',
     '''MODEL_FOR_CAUSAL_IMAGE_MODELING_MAPPING''',
     '''MODEL_FOR_CAUSAL_LM_MAPPING''',
     '''MODEL_FOR_CTC_MAPPING''',
     '''MODEL_FOR_DOCUMENT_QUESTION_ANSWERING_MAPPING''',
     '''MODEL_FOR_DEPTH_ESTIMATION_MAPPING''',
     '''MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_IMAGE_SEGMENTATION_MAPPING''',
     '''MODEL_FOR_INSTANCE_SEGMENTATION_MAPPING''',
     '''MODEL_FOR_MASKED_IMAGE_MODELING_MAPPING''',
     '''MODEL_FOR_MASKED_LM_MAPPING''',
     '''MODEL_FOR_MASK_GENERATION_MAPPING''',
     '''MODEL_FOR_MULTIPLE_CHOICE_MAPPING''',
     '''MODEL_FOR_NEXT_SENTENCE_PREDICTION_MAPPING''',
     '''MODEL_FOR_OBJECT_DETECTION_MAPPING''',
     '''MODEL_FOR_PRETRAINING_MAPPING''',
     '''MODEL_FOR_QUESTION_ANSWERING_MAPPING''',
     '''MODEL_FOR_SEMANTIC_SEGMENTATION_MAPPING''',
     '''MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING''',
     '''MODEL_FOR_SEQUENCE_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_SPEECH_SEQ_2_SEQ_MAPPING''',
     '''MODEL_FOR_TABLE_QUESTION_ANSWERING_MAPPING''',
     '''MODEL_FOR_TEXT_ENCODING_MAPPING''',
     '''MODEL_FOR_TOKEN_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_UNIVERSAL_SEGMENTATION_MAPPING''',
     '''MODEL_FOR_VIDEO_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_VISION_2_SEQ_MAPPING''',
     '''MODEL_FOR_VISUAL_QUESTION_ANSWERING_MAPPING''',
     '''MODEL_MAPPING''',
     '''MODEL_WITH_LM_HEAD_MAPPING''',
     '''MODEL_FOR_ZERO_SHOT_IMAGE_CLASSIFICATION_MAPPING''',
     '''MODEL_FOR_ZERO_SHOT_OBJECT_DETECTION_MAPPING''',
     '''AutoModel''',
     '''AutoBackbone''',
     '''AutoModelForAudioClassification''',
     '''AutoModelForAudioFrameClassification''',
     '''AutoModelForAudioXVector''',
     '''AutoModelForCausalLM''',
     '''AutoModelForCTC''',
     '''AutoModelForDepthEstimation''',
     '''AutoModelForImageClassification''',
     '''AutoModelForImageSegmentation''',
     '''AutoModelForInstanceSegmentation''',
     '''AutoModelForMaskGeneration''',
     '''AutoModelForTextEncoding''',
     '''AutoModelForMaskedImageModeling''',
     '''AutoModelForMaskedLM''',
     '''AutoModelForMultipleChoice''',
     '''AutoModelForNextSentencePrediction''',
     '''AutoModelForObjectDetection''',
     '''AutoModelForPreTraining''',
     '''AutoModelForQuestionAnswering''',
     '''AutoModelForSemanticSegmentation''',
     '''AutoModelForSeq2SeqLM''',
     '''AutoModelForSequenceClassification''',
     '''AutoModelForSpeechSeq2Seq''',
     '''AutoModelForTableQuestionAnswering''',
     '''AutoModelForTokenClassification''',
     '''AutoModelForUniversalSegmentation''',
     '''AutoModelForVideoClassification''',
     '''AutoModelForVision2Seq''',
     '''AutoModelForVisualQuestionAnswering''',
     '''AutoModelForDocumentQuestionAnswering''',
     '''AutoModelWithLMHead''',
     '''AutoModelForZeroShotImageClassification''',
     '''AutoModelForZeroShotObjectDetection''',
 ]

try:
 if not is_tf_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 _A		:      str						   =[
     '''TF_MODEL_FOR_AUDIO_CLASSIFICATION_MAPPING''',
     '''TF_MODEL_FOR_CAUSAL_LM_MAPPING''',
     '''TF_MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING''',
     '''TF_MODEL_FOR_MASK_GENERATION_MAPPING''',
     '''TF_MODEL_FOR_MASKED_IMAGE_MODELING_MAPPING''',
     '''TF_MODEL_FOR_MASKED_LM_MAPPING''',
     '''TF_MODEL_FOR_MULTIPLE_CHOICE_MAPPING''',
     '''TF_MODEL_FOR_NEXT_SENTENCE_PREDICTION_MAPPING''',
     '''TF_MODEL_FOR_PRETRAINING_MAPPING''',
     '''TF_MODEL_FOR_QUESTION_ANSWERING_MAPPING''',
     '''TF_MODEL_FOR_DOCUMENT_QUESTION_ANSWERING_MAPPING''',
     '''TF_MODEL_FOR_SEMANTIC_SEGMENTATION_MAPPING''',
     '''TF_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING''',
     '''TF_MODEL_FOR_SEQUENCE_CLASSIFICATION_MAPPING''',
     '''TF_MODEL_FOR_SPEECH_SEQ_2_SEQ_MAPPING''',
     '''TF_MODEL_FOR_TABLE_QUESTION_ANSWERING_MAPPING''',
     '''TF_MODEL_FOR_TEXT_ENCODING_MAPPING''',
     '''TF_MODEL_FOR_TOKEN_CLASSIFICATION_MAPPING''',
     '''TF_MODEL_FOR_VISION_2_SEQ_MAPPING''',
     '''TF_MODEL_FOR_ZERO_SHOT_IMAGE_CLASSIFICATION_MAPPING''',
     '''TF_MODEL_MAPPING''',
     '''TF_MODEL_WITH_LM_HEAD_MAPPING''',
     '''TFAutoModel''',
     '''TFAutoModelForAudioClassification''',
     '''TFAutoModelForCausalLM''',
     '''TFAutoModelForImageClassification''',
     '''TFAutoModelForMaskedImageModeling''',
     '''TFAutoModelForMaskedLM''',
     '''TFAutoModelForMaskGeneration''',
     '''TFAutoModelForMultipleChoice''',
     '''TFAutoModelForNextSentencePrediction''',
     '''TFAutoModelForPreTraining''',
     '''TFAutoModelForDocumentQuestionAnswering''',
     '''TFAutoModelForQuestionAnswering''',
     '''TFAutoModelForSemanticSegmentation''',
     '''TFAutoModelForSeq2SeqLM''',
     '''TFAutoModelForSequenceClassification''',
     '''TFAutoModelForSpeechSeq2Seq''',
     '''TFAutoModelForTableQuestionAnswering''',
     '''TFAutoModelForTextEncoding''',
     '''TFAutoModelForTokenClassification''',
     '''TFAutoModelForVision2Seq''',
     '''TFAutoModelForZeroShotImageClassification''',
     '''TFAutoModelWithLMHead''',
 ]

try:
 if not is_flax_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 _A		:      Dict						   =[
     '''FLAX_MODEL_FOR_AUDIO_CLASSIFICATION_MAPPING''',
     '''FLAX_MODEL_FOR_CAUSAL_LM_MAPPING''',
     '''FLAX_MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING''',
     '''FLAX_MODEL_FOR_MASKED_LM_MAPPING''',
     '''FLAX_MODEL_FOR_MULTIPLE_CHOICE_MAPPING''',
     '''FLAX_MODEL_FOR_NEXT_SENTENCE_PREDICTION_MAPPING''',
     '''FLAX_MODEL_FOR_PRETRAINING_MAPPING''',
     '''FLAX_MODEL_FOR_QUESTION_ANSWERING_MAPPING''',
     '''FLAX_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING''',
     '''FLAX_MODEL_FOR_SEQUENCE_CLASSIFICATION_MAPPING''',
     '''FLAX_MODEL_FOR_SPEECH_SEQ_2_SEQ_MAPPING''',
     '''FLAX_MODEL_FOR_TOKEN_CLASSIFICATION_MAPPING''',
     '''FLAX_MODEL_FOR_VISION_2_SEQ_MAPPING''',
     '''FLAX_MODEL_MAPPING''',
     '''FlaxAutoModel''',
     '''FlaxAutoModelForCausalLM''',
     '''FlaxAutoModelForImageClassification''',
     '''FlaxAutoModelForMaskedLM''',
     '''FlaxAutoModelForMultipleChoice''',
     '''FlaxAutoModelForNextSentencePrediction''',
     '''FlaxAutoModelForPreTraining''',
     '''FlaxAutoModelForQuestionAnswering''',
     '''FlaxAutoModelForSeq2SeqLM''',
     '''FlaxAutoModelForSequenceClassification''',
     '''FlaxAutoModelForSpeechSeq2Seq''',
     '''FlaxAutoModelForTokenClassification''',
     '''FlaxAutoModelForVision2Seq''',
 ]


if TYPE_CHECKING:
 from .auto_factory import get_values
 from .configuration_auto import ALL_PRETRAINED_CONFIG_ARCHIVE_MAP, CONFIG_MAPPING, MODEL_NAMES_MAPPING, AutoConfig
 from .feature_extraction_auto import FEATURE_EXTRACTOR_MAPPING, AutoFeatureExtractor
 from .image_processing_auto import IMAGE_PROCESSOR_MAPPING, AutoImageProcessor
 from .processing_auto import PROCESSOR_MAPPING, AutoProcessor
 from .tokenization_auto import TOKENIZER_MAPPING, AutoTokenizer

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_auto import (
      MODEL_FOR_AUDIO_CLASSIFICATION_MAPPING,
      MODEL_FOR_AUDIO_FRAME_CLASSIFICATION_MAPPING,
      MODEL_FOR_AUDIO_XVECTOR_MAPPING,
      MODEL_FOR_BACKBONE_MAPPING,
      MODEL_FOR_CAUSAL_IMAGE_MODELING_MAPPING,
      MODEL_FOR_CAUSAL_LM_MAPPING,
      MODEL_FOR_CTC_MAPPING,
      MODEL_FOR_DEPTH_ESTIMATION_MAPPING,
      MODEL_FOR_DOCUMENT_QUESTION_ANSWERING_MAPPING,
      MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING,
      MODEL_FOR_IMAGE_SEGMENTATION_MAPPING,
      MODEL_FOR_INSTANCE_SEGMENTATION_MAPPING,
      MODEL_FOR_MASK_GENERATION_MAPPING,
      MODEL_FOR_MASKED_IMAGE_MODELING_MAPPING,
      MODEL_FOR_MASKED_LM_MAPPING,
      MODEL_FOR_MULTIPLE_CHOICE_MAPPING,
      MODEL_FOR_NEXT_SENTENCE_PREDICTION_MAPPING,
      MODEL_FOR_OBJECT_DETECTION_MAPPING,
      MODEL_FOR_PRETRAINING_MAPPING,
      MODEL_FOR_QUESTION_ANSWERING_MAPPING,
      MODEL_FOR_SEMANTIC_SEGMENTATION_MAPPING,
      MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING,
      MODEL_FOR_SEQUENCE_CLASSIFICATION_MAPPING,
      MODEL_FOR_SPEECH_SEQ_2_SEQ_MAPPING,
      MODEL_FOR_TABLE_QUESTION_ANSWERING_MAPPING,
      MODEL_FOR_TEXT_ENCODING_MAPPING,
      MODEL_FOR_TOKEN_CLASSIFICATION_MAPPING,
      MODEL_FOR_UNIVERSAL_SEGMENTATION_MAPPING,
      MODEL_FOR_VIDEO_CLASSIFICATION_MAPPING,
      MODEL_FOR_VISION_2_SEQ_MAPPING,
      MODEL_FOR_VISUAL_QUESTION_ANSWERING_MAPPING,
      MODEL_FOR_ZERO_SHOT_IMAGE_CLASSIFICATION_MAPPING,
      MODEL_FOR_ZERO_SHOT_OBJECT_DETECTION_MAPPING,
      MODEL_MAPPING,
      MODEL_WITH_LM_HEAD_MAPPING,
      AutoBackbone,
      AutoModel,
      AutoModelForAudioClassification,
      AutoModelForAudioFrameClassification,
      AutoModelForAudioXVector,
      AutoModelForCausalLM,
      AutoModelForCTC,
      AutoModelForDepthEstimation,
      AutoModelForDocumentQuestionAnswering,
      AutoModelForImageClassification,
      AutoModelForImageSegmentation,
      AutoModelForInstanceSegmentation,
      AutoModelForMaskedImageModeling,
      AutoModelForMaskedLM,
      AutoModelForMaskGeneration,
      AutoModelForMultipleChoice,
      AutoModelForNextSentencePrediction,
      AutoModelForObjectDetection,
      AutoModelForPreTraining,
      AutoModelForQuestionAnswering,
      AutoModelForSemanticSegmentation,
      AutoModelForSeqaSeqLM,
      AutoModelForSequenceClassification,
      AutoModelForSpeechSeqaSeq,
      AutoModelForTableQuestionAnswering,
      AutoModelForTextEncoding,
      AutoModelForTokenClassification,
      AutoModelForUniversalSegmentation,
      AutoModelForVideoClassification,
      AutoModelForVisionaSeq,
      AutoModelForVisualQuestionAnswering,
      AutoModelForZeroShotImageClassification,
      AutoModelForZeroShotObjectDetection,
      AutoModelWithLMHead,
  )

 try:
  if not is_tf_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_tf_auto import (
      TF_MODEL_FOR_AUDIO_CLASSIFICATION_MAPPING,
      TF_MODEL_FOR_CAUSAL_LM_MAPPING,
      TF_MODEL_FOR_DOCUMENT_QUESTION_ANSWERING_MAPPING,
      TF_MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING,
      TF_MODEL_FOR_MASK_GENERATION_MAPPING,
      TF_MODEL_FOR_MASKED_IMAGE_MODELING_MAPPING,
      TF_MODEL_FOR_MASKED_LM_MAPPING,
      TF_MODEL_FOR_MULTIPLE_CHOICE_MAPPING,
      TF_MODEL_FOR_NEXT_SENTENCE_PREDICTION_MAPPING,
      TF_MODEL_FOR_PRETRAINING_MAPPING,
      TF_MODEL_FOR_QUESTION_ANSWERING_MAPPING,
      TF_MODEL_FOR_SEMANTIC_SEGMENTATION_MAPPING,
      TF_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING,
      TF_MODEL_FOR_SEQUENCE_CLASSIFICATION_MAPPING,
      TF_MODEL_FOR_SPEECH_SEQ_2_SEQ_MAPPING,
      TF_MODEL_FOR_TABLE_QUESTION_ANSWERING_MAPPING,
      TF_MODEL_FOR_TEXT_ENCODING_MAPPING,
      TF_MODEL_FOR_TOKEN_CLASSIFICATION_MAPPING,
      TF_MODEL_FOR_VISION_2_SEQ_MAPPING,
      TF_MODEL_FOR_ZERO_SHOT_IMAGE_CLASSIFICATION_MAPPING,
      TF_MODEL_MAPPING,
      TF_MODEL_WITH_LM_HEAD_MAPPING,
      TFAutoModel,
      TFAutoModelForAudioClassification,
      TFAutoModelForCausalLM,
      TFAutoModelForDocumentQuestionAnswering,
      TFAutoModelForImageClassification,
      TFAutoModelForMaskedImageModeling,
      TFAutoModelForMaskedLM,
      TFAutoModelForMaskGeneration,
      TFAutoModelForMultipleChoice,
      TFAutoModelForNextSentencePrediction,
      TFAutoModelForPreTraining,
      TFAutoModelForQuestionAnswering,
      TFAutoModelForSemanticSegmentation,
      TFAutoModelForSeqaSeqLM,
      TFAutoModelForSequenceClassification,
      TFAutoModelForSpeechSeqaSeq,
      TFAutoModelForTableQuestionAnswering,
      TFAutoModelForTextEncoding,
      TFAutoModelForTokenClassification,
      TFAutoModelForVisionaSeq,
      TFAutoModelForZeroShotImageClassification,
      TFAutoModelWithLMHead,
  )

 try:
  if not is_flax_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_flax_auto import (
      FLAX_MODEL_FOR_AUDIO_CLASSIFICATION_MAPPING,
      FLAX_MODEL_FOR_CAUSAL_LM_MAPPING,
      FLAX_MODEL_FOR_IMAGE_CLASSIFICATION_MAPPING,
      FLAX_MODEL_FOR_MASKED_LM_MAPPING,
      FLAX_MODEL_FOR_MULTIPLE_CHOICE_MAPPING,
      FLAX_MODEL_FOR_NEXT_SENTENCE_PREDICTION_MAPPING,
      FLAX_MODEL_FOR_PRETRAINING_MAPPING,
      FLAX_MODEL_FOR_QUESTION_ANSWERING_MAPPING,
      FLAX_MODEL_FOR_SEQ_TO_SEQ_CAUSAL_LM_MAPPING,
      FLAX_MODEL_FOR_SEQUENCE_CLASSIFICATION_MAPPING,
      FLAX_MODEL_FOR_SPEECH_SEQ_2_SEQ_MAPPING,
      FLAX_MODEL_FOR_TOKEN_CLASSIFICATION_MAPPING,
      FLAX_MODEL_FOR_VISION_2_SEQ_MAPPING,
      FLAX_MODEL_MAPPING,
      FlaxAutoModel,
      FlaxAutoModelForCausalLM,
      FlaxAutoModelForImageClassification,
      FlaxAutoModelForMaskedLM,
      FlaxAutoModelForMultipleChoice,
      FlaxAutoModelForNextSentencePrediction,
      FlaxAutoModelForPreTraining,
      FlaxAutoModelForQuestionAnswering,
      FlaxAutoModelForSeqaSeqLM,
      FlaxAutoModelForSequenceClassification,
      FlaxAutoModelForSpeechSeqaSeq,
      FlaxAutoModelForTokenClassification,
      FlaxAutoModelForVisionaSeq,
  )

else:
 import sys

 _A		:      Union[str, Any]						   =_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)
'''simple docstring'''
from collections.abc import Callable
from math import log
from os import name, system
from random import gauss, seed
from typing import TypeVar







def 				__UpperCamelCase (					__UpperCAmelCase  :					float ,   __UpperCAmelCase  :					float ,   __UpperCAmelCase  :					int			)							->	list:
  seed(1			)
  return [gauss(__UpperCAmelCase ,   __UpperCAmelCase			) for _ in range(__UpperCAmelCase			)]







def 				__UpperCamelCase (					__UpperCAmelCase  :					int ,   __UpperCAmelCase  :					list			)							->	list:
  return [k for k in range(__UpperCAmelCase			) for _ in range(instance_count[k]			)]







def 				__UpperCamelCase (					__UpperCAmelCase  :					int ,   __UpperCAmelCase  :					list			)							->	float:
  return sum(__UpperCAmelCase			) / instance_count







def 				__UpperCamelCase (					__UpperCAmelCase  :					int ,   __UpperCAmelCase  :					int			)							->	float:
  return instance_count / total_count







def 				__UpperCamelCase (					__UpperCAmelCase  :					list ,   __UpperCAmelCase  :					list ,   __UpperCAmelCase  :					int			)							->	float:
  lowercase				:							List[Any]									=   []  # An empty list to store all squared differences
  # iterate over number of elements in items
  for i in range(len(__UpperCAmelCase			)			):
    # for loop iterates over number of elements in inner layer of items
    for j in range(len(items[i]			)			):
      # appending squared differences to 'squared_diff' list
      squared_diff.append((items[i][j] - means[i]) ** 2			)

    # one divided by (the number of all instances - number of classes) multiplied by
    # sum of all squared differences
  lowercase				:							List[str]									=   len(__UpperCAmelCase			)  # Number of classes in dataset
  return 1 / (total_count - n_classes) * sum(__UpperCAmelCase			)







def 				__UpperCamelCase (					__UpperCAmelCase  :					list ,   __UpperCAmelCase  :					list ,   __UpperCAmelCase  :					float ,   __UpperCAmelCase  :					list			)							->	list:
  lowercase				:							Union[str, Any]									=   []
  # for loop iterates over number of elements in list
  for i in range(len(__UpperCAmelCase			)			):
    # for loop iterates over number of inner items of each element
    for j in range(len(x_items[i]			)			):
      lowercase				:							Any									=   []  # to store all discriminant values of each item as a list
      # for loop iterates over number of classes we have in our dataset
      for k in range(len(__UpperCAmelCase			)			):
        # appending values of discriminants for each class to 'temp' list
        temp.append(
            x_items[i][j] * (means[k] / variance)
            - (means[k] ** 2 / (2 * variance))
            + log(probabilities[k]			)			)
      # appending discriminant values of each item to 'results' list
      results.append(__UpperCAmelCase			)

  return [result.index(max(__UpperCAmelCase			)			) for result in results]







def 				__UpperCamelCase (					__UpperCAmelCase  :					list ,   __UpperCAmelCase  :					list			)							->	float:
  lowercase				:							List[str]									=   sum(1 for i, j in zip(__UpperCAmelCase ,   __UpperCAmelCase			) if i == j			)
  # percentage of accuracy equals to number of correct predictions divided by number
  # of all data and multiplied by 100
  return (correct / len(__UpperCAmelCase			)) * 100


_A		:      Dict						   =TypeVar('''num''')







def 				__UpperCamelCase (					__UpperCAmelCase  :					Callable[[object], num] ,   __UpperCAmelCase  :					str ,   __UpperCAmelCase  :					str ,   __UpperCAmelCase  :					Callable[[num], bool] = lambda __UpperCAmelCase			: True ,   __UpperCAmelCase  :					str | None = None ,   )							->	num:
  while True:
    try:
      lowercase				:							int									=   input_type(input(__UpperCAmelCase			).strip() or default			)
      if condition(__UpperCAmelCase			):
        return user_input
      else:
        print(f"""{user_input}: {err_msg}"""			)
        continue
    except ValueError:
      print(
          f"""{user_input}: Incorrect input type, expected {input_type.__name__!r}"""			)







def 				__UpperCamelCase (					)							->	Optional[int]:
  while True:
    print(''' Linear Discriminant Analysis '''.center(50 ,   '''*'''			)			)
    print('''*''' * 50 ,   '''\n'''			)
    print('''First of all we should specify the number of classes that'''			)
    print('''we want to generate as training dataset'''			)
    # Trying to get number of classes
    lowercase				:							List[str]									=   valid_input(
        input_type=__UpperCAmelCase ,   condition=lambda __UpperCAmelCase			: x > 0 ,   input_msg='''Enter the number of classes (Data Groupings): ''' ,   err_msg='''Number of classes should be positive!''' ,   )

    print('''-''' * 100			)

    # Trying to get the value of standard deviation
    lowercase				:							Dict									=   valid_input(
        input_type=__UpperCAmelCase ,   condition=lambda __UpperCAmelCase			: x >= 0 ,   input_msg=(
            '''Enter the value of standard deviation'''
            '''(Default value is 1.0 for all classes): '''
        ) ,   err_msg='''Standard deviation should not be negative!''' ,   default='''1.0''' ,   )

    print('''-''' * 100			)

    # Trying to get number of instances in classes and theirs means to generate
    # dataset
    lowercase				:							str									=   []  # An empty list to store instance counts of classes in dataset
    for i in range(__UpperCAmelCase			):
      lowercase				:							List[Any]									=   valid_input(
          input_type=__UpperCAmelCase ,   condition=lambda __UpperCAmelCase			: x > 0 ,   input_msg=(f"""Enter The number of instances for class_{i+1}: """) ,   err_msg='''Number of instances should be positive!''' ,   )
      counts.append(__UpperCAmelCase			)
    print('''-''' * 100			)

    # An empty list to store values of user-entered means of classes
    lowercase				:							int									=   []
    for a in range(__UpperCAmelCase			):
      lowercase				:							int									=   valid_input(
          input_type=__UpperCAmelCase ,   input_msg=(f"""Enter the value of mean for class_{a+1}: """) ,   err_msg='''This is an invalid value.''' ,   )
      user_means.append(__UpperCAmelCase			)
    print('''-''' * 100			)

    print('''Standard deviation: ''' ,   __UpperCAmelCase			)
    # print out the number of instances in classes in separated line
    for i, count in enumerate(__UpperCAmelCase ,   1			):
      print(f"""Number of instances in class_{i} is: {count}"""			)
    print('''-''' * 100			)

    # print out mean values of classes separated line
    for i, user_mean in enumerate(__UpperCAmelCase ,   1			):
      print(f"""Mean of class_{i} is: {user_mean}"""			)
    print('''-''' * 100			)

    # Generating training dataset drawn from gaussian distribution
    lowercase				:							Union[str, Any]									=   [
        gaussian_distribution(user_means[j] ,   __UpperCAmelCase ,   counts[j]			)
        for j in range(__UpperCAmelCase			)
    ]
    print('''Generated Normal Distribution: \n''' ,   __UpperCAmelCase			)
    print('''-''' * 100			)

    # Generating Ys to detecting corresponding classes
    lowercase				:							List[str]									=   y_generator(__UpperCAmelCase ,   __UpperCAmelCase			)
    print('''Generated Corresponding Ys: \n''' ,   __UpperCAmelCase			)
    print('''-''' * 100			)

    # Calculating the value of actual mean for each class
    lowercase				:							int									=   [calculate_mean(counts[k] ,   x[k]			) for k in range(__UpperCAmelCase			)]
    # for loop iterates over number of elements in 'actual_means' list and print
    # out them in separated line
    for i, actual_mean in enumerate(__UpperCAmelCase ,   1			):
      print(f"""Actual(Real) mean of class_{i} is: {actual_mean}"""			)
    print('''-''' * 100			)

    # Calculating the value of probabilities for each class
    lowercase				:							Optional[int]									=   [
        calculate_probabilities(counts[i] ,   sum(__UpperCAmelCase			)			) for i in range(__UpperCAmelCase			)
    ]

    # for loop iterates over number of elements in 'probabilities' list and print
    # out them in separated line
    for i, probability in enumerate(__UpperCAmelCase ,   1			):
      print(f"""Probability of class_{i} is: {probability}"""			)
    print('''-''' * 100			)

    # Calculating the values of variance for each class
    lowercase				:							Tuple									=   calculate_variance(__UpperCAmelCase ,   __UpperCAmelCase ,   sum(__UpperCAmelCase			)			)
    print('''Variance: ''' ,   __UpperCAmelCase			)
    print('''-''' * 100			)

    # Predicting Y values
    # storing predicted Y values in 'pre_indexes' variable
    lowercase				:							Any									=   predict_y_values(__UpperCAmelCase ,   __UpperCAmelCase ,   __UpperCAmelCase ,   __UpperCAmelCase			)
    print('''-''' * 100			)

    # Calculating Accuracy of the model
    print(f"""Accuracy: {accuracy(__UpperCAmelCase ,   __UpperCAmelCase			)}"""			)
    print('''-''' * 100			)
    print(''' DONE '''.center(100 ,   '''+'''			)			)

    if input('''Press any key to restart or \'q\' for quit: '''			).strip().lower() == "q":
      print('''\n''' + '''GoodBye!'''.center(100 ,   '''-'''			) + '''\n'''			)
      break
    system('''cls''' if name == '''nt''' else '''clear'''			)  # noqa: S605


if __name__ == "__main__":
 main()