





'''simple docstring'''






from __future__ import annotations

import numpy as np
from numpy import floataa
from numpy.typing import NDArray
def 							_lowerCamelCase(  UpperCamelCase__    : NDArray[floataa]    ,       UpperCamelCase__    : NDArray[floataa]    ,       UpperCamelCase__    : list[int]    ,       UpperCamelCase__    : int    ,       )		->  list[float]:
    A,	A       :       Optional[Any]							=						coefficient_matrix.shape
    A,	A       :       Union[str, Any]							=						constant_matrix.shape

    if rowsa != colsa:
        A       :       Union[str, Any]							=						F'''Coefficient matrix dimensions must be nxn but received {rowsa}x{colsa}'''
        raise ValueError(UpperCamelCase__		)

    if colsa != 1:
        A       :       int							=						F'''Constant matrix must be nx1 but received {rowsa}x{colsa}'''
        raise ValueError(UpperCamelCase__		)

    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(UpperCamelCase__		)

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

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

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

    A,	A       :       Tuple							=						table.shape

    strictly_diagonally_dominant(UpperCamelCase__		)

    # Iterates the whole matrix for given number of times
    for _ in range(UpperCamelCase__		):
        A       :       Optional[int]							=						[]
        for row in range(UpperCamelCase__		):
            A       :       Dict							=						0
            for col in range(UpperCamelCase__		):
                if col == row:
                    A       :       int							=						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(UpperCamelCase__		)
        A       :       Any							=						new_val

    return [float(UpperCamelCase__		) for i in new_val]
def 							_lowerCamelCase(  UpperCamelCase__    : NDArray[floataa]		)		->  bool:
    A,	A       :       str							=						table.shape

    A       :       Union[str, Any]							=						True

    for i in range(0    ,       UpperCamelCase__		):
        A       :       Union[str, Any]							=						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()







'''simple docstring'''






from ..utils import DummyObject, requires_backends


class   _lowercase						(							metaclass=a				):
   _UpperCamelCase       		=   ["""onnx"""]


   def __init__( self    ,   *_UpperCAmelCase    ,   **_UpperCAmelCase					):
       requires_backends(self    ,   ['''onnx''']					)


   @classmethod
   def 					snake_case				( cls    ,   *_UpperCAmelCase    ,   **_UpperCAmelCase					):
       requires_backends(cls    ,   ['''onnx''']					)


   @classmethod
   def 					snake_case				( cls    ,   *_UpperCAmelCase    ,   **_UpperCAmelCase					):
       requires_backends(cls    ,   ['''onnx''']					)
