"""simple docstring"""







import logging

# standard libraries
import sys

import numpy as np
import pytest  # type: ignore

# Custom/local libraries
from matrix import matrix_operation as matop

UpperCamelCase_       :       Any							   =		[[12, 10], [3, 9]]
UpperCamelCase_       :       Dict							   =		[[3, 4], [7, 4]]
UpperCamelCase_       :       Union[str, Any]							   =		[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
UpperCamelCase_       :       Dict							   =		[[3, 0, -2], [2, 0, 2], [0, 1, 1]]
UpperCamelCase_       :       Dict							   =		[[3, 0, 2], [2, 0, -2], [0, 1, 1], [2, 0, -2]]
UpperCamelCase_       :       List[Any]							   =		[1]
UpperCamelCase_       :       Dict							   =		[2]

UpperCamelCase_       :       str							   =		logging.getLogger()
UpperCamelCase_       :       Any							   =		logging.DEBUG
UpperCamelCase_       :       Optional[Any]							   =		logging.StreamHandler(sys.stdout)
logger.addHandler(stream_handler)


@pytest.mark.mat_ops
@pytest.mark.parametrize(
    ("""mat1""", """mat2""")		,			[(mat_a, mat_b), (mat_c, mat_d), (mat_d, mat_e), (mat_f, mat_h)]			)
def   a__      (		UpperCAmelCase__       :			Optional[int]		,			UpperCAmelCase__       :			int			)->	List[Any]:
						if (np.array(UpperCAmelCase__			)).shape < (2, 2) or (np.array(UpperCAmelCase__			)).shape < (2, 2):
												with pytest.raises(UpperCAmelCase__			):
																		logger.info(f'\n\t{test_addition.__name__} returned integer'			)
																		matop.add(UpperCAmelCase__		,			UpperCAmelCase__			)
						elif (np.array(UpperCAmelCase__			)).shape == (np.array(UpperCAmelCase__			)).shape:
												logger.info(f'\n\t{test_addition.__name__} with same matrix dims'			)
												UpperCAmelCase__						=		(np.array(UpperCAmelCase__			) + np.array(UpperCAmelCase__			)).tolist()
												UpperCAmelCase__						=		matop.add(UpperCAmelCase__		,			UpperCAmelCase__			)
												assert theo == act
						else:
												with pytest.raises(UpperCAmelCase__			):
																		logger.info(f'\n\t{test_addition.__name__} with different matrix dims'			)
																		matop.add(UpperCAmelCase__		,			UpperCAmelCase__			)


@pytest.mark.mat_ops
@pytest.mark.parametrize(
    ("""mat1""", """mat2""")		,			[(mat_a, mat_b), (mat_c, mat_d), (mat_d, mat_e), (mat_f, mat_h)]			)
def   a__      (		UpperCAmelCase__       :			Union[str, Any]		,			UpperCAmelCase__       :			List[str]			)->	Dict:
						if (np.array(UpperCAmelCase__			)).shape < (2, 2) or (np.array(UpperCAmelCase__			)).shape < (2, 2):
												with pytest.raises(UpperCAmelCase__			):
																		logger.info(f'\n\t{test_subtraction.__name__} returned integer'			)
																		matop.subtract(UpperCAmelCase__		,			UpperCAmelCase__			)
						elif (np.array(UpperCAmelCase__			)).shape == (np.array(UpperCAmelCase__			)).shape:
												logger.info(f'\n\t{test_subtraction.__name__} with same matrix dims'			)
												UpperCAmelCase__						=		(np.array(UpperCAmelCase__			) - np.array(UpperCAmelCase__			)).tolist()
												UpperCAmelCase__						=		matop.subtract(UpperCAmelCase__		,			UpperCAmelCase__			)
												assert theo == act
						else:
												with pytest.raises(UpperCAmelCase__			):
																		logger.info(f'\n\t{test_subtraction.__name__} with different matrix dims'			)
																		assert matop.subtract(UpperCAmelCase__		,			UpperCAmelCase__			)


@pytest.mark.mat_ops
@pytest.mark.parametrize(
    ("""mat1""", """mat2""")		,			[(mat_a, mat_b), (mat_c, mat_d), (mat_d, mat_e), (mat_f, mat_h)]			)
def   a__      (		UpperCAmelCase__       :			int		,			UpperCAmelCase__       :			Any			)->	int:
						if (np.array(UpperCAmelCase__			)).shape < (2, 2) or (np.array(UpperCAmelCase__			)).shape < (2, 2):
												logger.info(f'\n\t{test_multiplication.__name__} returned integer'			)
												with pytest.raises(UpperCAmelCase__			):
																		matop.add(UpperCAmelCase__		,			UpperCAmelCase__			)
						elif (np.array(UpperCAmelCase__			)).shape == (np.array(UpperCAmelCase__			)).shape:
												logger.info(f'\n\t{test_multiplication.__name__} meets dim requirements'			)
												UpperCAmelCase__						=		(np.matmul(UpperCAmelCase__		,			UpperCAmelCase__			)).tolist()
												UpperCAmelCase__						=		matop.multiply(UpperCAmelCase__		,			UpperCAmelCase__			)
												assert theo == act
						else:
												with pytest.raises(UpperCAmelCase__			):
																		logger.info(
																		    f'\n\t{test_multiplication.__name__} does not meet dim requirements'			)
																		assert matop.subtract(UpperCAmelCase__		,			UpperCAmelCase__			)


@pytest.mark.mat_ops
def   a__      (		)->	List[str]:
						UpperCAmelCase__						=		(3.5 * np.array(UpperCAmelCase__			)).tolist()
						UpperCAmelCase__						=		matop.scalar_multiply(UpperCAmelCase__		,			3.5			)
						assert theo == act


@pytest.mark.mat_ops
def   a__      (		)->	List[str]:
						UpperCAmelCase__						=		(np.identity(5			)).tolist()
						UpperCAmelCase__						=		matop.identity(5			)
						assert theo == act







@pytest.mark.mat_ops
@pytest.mark.parametrize("""mat"""		,			[mat_a, mat_b, mat_c, mat_d, mat_e, mat_f]			)
def   a__      (		UpperCAmelCase__       :			Optional[int]			)->	List[str]:
						if (np.array(UpperCAmelCase__			)).shape < (2, 2):
												with pytest.raises(UpperCAmelCase__			):
																		logger.info(f'\n\t{test_transpose.__name__} returned integer'			)
																		matop.transpose(UpperCAmelCase__			)
						else:
												UpperCAmelCase__						=		(np.transpose(UpperCAmelCase__			)).tolist()
												UpperCAmelCase__						=		matop.transpose(UpperCAmelCase__		,			return_map=UpperCAmelCase__			)
												assert theo == act


"""simple docstring"""







from __future__ import annotations

import sys


def   a__      (		UpperCAmelCase__       :			int			)->	int:
						if n < 0:
												raise ValueError("""Negative arguments are not supported"""			)
						return _fib(UpperCAmelCase__			)[0]


def   a__      (		UpperCAmelCase__       :			int			)->	tuple[int, int]:
						if n == 0:  # (F(0), F(1))
												return (0, 1)

						# F(2n) = F(n)[2F(n+1) − F(n)]
						# F(2n+1) = F(n+1)^2+F(n)^2
						UpperCAmelCase__	,      UpperCAmelCase__						=		_fib(n // 2			)
						UpperCAmelCase__						=		a * (b * 2 - a)
						UpperCAmelCase__						=		a * a + b * b
						return (d, c + d) if n % 2 else (c, d)


if __name__ == "__main__":
						UpperCamelCase_       :       int							   =		int(sys.argv[1])
						print(F"""fibonacci({n}) is {fibonacci(n)}""")

