





from __future__ import annotations

import numpy as np
from numpy import floataa
from numpy.typing import NDArray







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a					,						a					,						)      ->      list[float]:
					__A    ,				__A	:						Optional[Any]       =				coefficient_matrix.shape
					__A    ,				__A	:						str       =				constant_matrix.shape

					if rowsa != colsa:
										__A	:						Optional[Any]       =				F"""Coefficient matrix dimensions must be nxn but received {rowsa}x{colsa}"""
										raise ValueError(a  )

					if colsa != 1:
										__A	:						int       =				F"""Constant matrix must be nx1 but received {rowsa}x{colsa}"""
										raise ValueError(a  )

					if rowsa != rowsa:
										__A	:						Any       =				(
										    'Coefficient and constant matrices dimensions must be nxn and nx1 but '
										    F"""received {rowsa}x{colsa} and {rowsa}x{colsa}"""
										)
										raise ValueError(a  )

					if len(a  ) != rowsa:
										__A	:						str       =				(
										    'Number of initial values must be equal to number of rows in coefficient '
										    F"""matrix but received {len(a  )} and {rowsa}"""
										)
										raise ValueError(a  )

					if iterations <= 0:
										raise ValueError('Iterations must be at least 1'  )

					__A	:						NDArray[floataa]       =				np.concatenate(
					    (coefficient_matrix, constant_matrix)					,						axis=1  )

					__A    ,				__A	:						Any       =				table.shape

					strictly_diagonally_dominant(a  )

					# Iterates the whole matrix for given number of times
					for _ in range(a  ):
										__A	:						Dict       =				[]
										for row in range(a  ):
															__A	:						Dict       =				0
															for col in range(a  ):
																				if col == row:
																									__A	:						List[str]       =				table[row][col]
																				elif col == cols - 1:
																									__A	:						Optional[Any]       =				table[row][col]
																				else:
																									temp += (-1) * table[row][col] * init_val[col]
															__A	:						str       =				(temp + val) / denom
															new_val.append(a  )
										__A	:						int       =				new_val

					return [float(a  ) for i in new_val]







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      bool:
					__A    ,				__A	:						Union[str, Any]       =				table.shape

					__A	:						Any       =				True

					for i in range(0					,						a  ):
										__A	:						str       =				0
										for j in range(0					,						cols - 1  ):
															if i == j:
																				continue
															else:
																				total += table[i][j]

										if table[i][i] <= total:
															raise ValueError('Coefficient matrix is not strictly diagonally dominant'  )

					return is_diagonally_dominant


# Test Cases
if __name__ == "__main__":
				import doctest

				doctest.testmod()











from __future__ import annotations







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a  )      ->      float:
					if days_between_payments <= 0:
										raise ValueError('days_between_payments must be > 0'  )
					if daily_interest_rate < 0:
										raise ValueError('daily_interest_rate must be >= 0'  )
					if principal <= 0:
										raise ValueError('principal must be > 0'  )
					return principal * daily_interest_rate * days_between_payments







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a					,						)      ->      float:
					if number_of_compounding_periods <= 0:
										raise ValueError('number_of_compounding_periods must be > 0'  )
					if nominal_annual_interest_rate_percentage < 0:
										raise ValueError('nominal_annual_interest_rate_percentage must be >= 0'  )
					if principal <= 0:
										raise ValueError('principal must be > 0'  )

					return principal * (
					    (1 + nominal_annual_interest_rate_percentage) ** number_of_compounding_periods
					    - 1
					)







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a					,						)      ->      float:
					if number_of_years <= 0:
										raise ValueError('number_of_years must be > 0'  )
					if nominal_annual_percentage_rate < 0:
										raise ValueError('nominal_annual_percentage_rate must be >= 0'  )
					if principal <= 0:
										raise ValueError('principal must be > 0'  )

					return compound_interest(
					    a					,						nominal_annual_percentage_rate / 3_65					,						number_of_years * 3_65  )


if __name__ == "__main__":
				import doctest

				doctest.testmod()




