


import numpy

# List of input, output pairs
SCREAMING_SNAKE_CASE :   str							      =				(
    ((5, 2, 3), 15),
    ((6, 5, 9), 25),
    ((11, 12, 13), 41),
    ((1, 1, 1), 8),
    ((11, 12, 13), 41),
)
SCREAMING_SNAKE_CASE :   Tuple							      =				(((515, 22, 13), 555), ((61, 35, 49), 150))
SCREAMING_SNAKE_CASE :   Dict							      =				[2, 4, 1, 5]
SCREAMING_SNAKE_CASE :   Tuple							      =				len(train_data)
SCREAMING_SNAKE_CASE :   List[Any]							      =				0.009



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_="train"				)					->		Tuple:
    return calculate_hypothesis_value(lowerCamelCase_							,				lowerCamelCase_				) - output(
        lowerCamelCase_							,				lowerCamelCase_				)



def        UpperCamelCase_(   lowerCamelCase_				)					->		Union[str, Any]:
    _lowercase :							Optional[Any]   	=	0
    for i in range(len(lowerCamelCase_				) - 1				):
        hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
    hyp_val += parameter_vector[0]
    return hyp_val



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		List[str]:
    if data_set == "train":
        return train_data[example_no][1]
    elif data_set == "test":
        return test_data[example_no][1]
    return None



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_				)					->		Optional[int]:
    if data_set == "train":
        return _hypothesis_value(train_data[example_no][0]				)
    elif data_set == "test":
        return _hypothesis_value(test_data[example_no][0]				)
    return None



def        UpperCamelCase_(   lowerCamelCase_							,				lowerCamelCase_=m				)					->		Any:
    _lowercase :							Dict   	=	0
    for i in range(lowerCamelCase_				):
        if index == -1:
            summation_value += _error(lowerCamelCase_				)
        else:
            summation_value += _error(lowerCamelCase_				) * train_data[i][0][index]
    return summation_value



def        UpperCamelCase_(   lowerCamelCase_				)					->		Optional[int]:
    _lowercase :							int   	=	summation_of_cost_derivative(lowerCamelCase_							,				lowerCamelCase_				) / m
    return cost_derivative_value



def        UpperCamelCase_(   )					->		Optional[Any]:
    global parameter_vector
    # Tune these values to set a tolerance value for predicted output
    _lowercase :							Tuple   	=	0.00_00_02
    _lowercase :							List[str]   	=	0
    _lowercase :							Tuple   	=	0
    while True:
        j += 1
        _lowercase :							Any   	=	[0, 0, 0, 0]
        for i in range(0							,				len(lowerCamelCase_				)				):
            _lowercase :							Optional[int]   	=	get_cost_derivative(i - 1				)
            _lowercase :							Union[str, Any]   	=	(
                parameter_vector[i] - LEARNING_RATE * cost_derivative
            )
        if numpy.allclose(
            lowerCamelCase_							,				lowerCamelCase_							,				atol=lowerCamelCase_							,				rtol=lowerCamelCase_							,				):
            break
        _lowercase :							Dict   	=	temp_parameter_vector
    print(('Number of iterations:', j)				)



def        UpperCamelCase_(   )					->		Tuple:
    for i in range(len(lowerCamelCase_				)				):
        print(('Actual output value:', output(lowerCamelCase_							,				'test'				))				)
        print(('Hypothesis output:', calculate_hypothesis_value(lowerCamelCase_							,				'test'				))				)


if __name__ == "__main__":
 run_gradient_descent()
 print("\nTesting gradient descent for a linear hypothesis function.\n")
 test_gradient_descent()






# this script reports modified .py files under the desired list of top-level sub-dirs passed as a list of arguments, e.g.:
#   python ./utils/get_modified_files.py utils src tests examples
#
# it uses git to find the forking point and which files were modified - i.e. files not under git won't be considered
# since the output of this script is fed into Makefile commands it doesn't print a newline after the results

import re
import subprocess
import sys


SCREAMING_SNAKE_CASE :   List[Any]							      =				subprocess.check_output("git merge-base main HEAD".split()).decode("utf-8")
SCREAMING_SNAKE_CASE :   Optional[int]							      =				(
    subprocess.check_output(F"git diff --diff-filter=d --name-only {fork_point_sha}".split()).decode("utf-8").split()
)

SCREAMING_SNAKE_CASE :   Any							      =				"|".join(sys.argv[1:])
SCREAMING_SNAKE_CASE :   Union[str, Any]							      =				re.compile(rF"^({joined_dirs}).*?\.py$")

SCREAMING_SNAKE_CASE :   List[Any]							      =				[x for x in modified_files if regex.match(x)]
print(" ".join(relevant_modified_files), end="")


