from __future__ import annotations

from typing import Any





def     UpperCAmelCase						(   *lowercase							):







				"""simple docstring"""



				if all(_check_not_integer(lowercase							) for m in matrix_s							):
								for i in matrix_s[1:]:
												_verify_matrix_sizes(matrix_s[0]							,      lowercase							)
								return [[sum(lowercase							) for t in zip(*lowercase							)] for m in zip(*lowercase							)]
				raise TypeError('''Expected a matrix, got int/list instead'''							)





def     UpperCAmelCase						(   lowercase							,      lowercase							):







				"""simple docstring"""



				if (
				    _check_not_integer(lowercase							)
				    and _check_not_integer(lowercase							)
				    and _verify_matrix_sizes(lowercase							,      lowercase							)
				):
								return [[i - j for i, j in zip(*lowercase							)] for m in zip(lowercase							,      lowercase							)]
				raise TypeError('''Expected a matrix, got int/list instead'''							)





def     UpperCAmelCase						(   lowercase							,      lowercase							):







				"""simple docstring"""



				return [[x * n for x in row] for row in matrix]





def     UpperCAmelCase						(   lowercase							,      lowercase							):







				"""simple docstring"""



				if _check_not_integer(lowercase							) and _check_not_integer(lowercase							):
								__lowercase      ,					__lowercase			      =							_verify_matrix_sizes(lowercase							,      lowercase							)

				if cols[0] != rows[1]:
								__lowercase			      =							(
								    '''Cannot multiply matrix of dimensions '''
								    F"({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})"
								)
								raise ValueError(lowercase							)
				return [
				    [sum(m * n for m, n in zip(lowercase							,      lowercase							)							) for j in zip(*lowercase							)] for i in matrix_a
				]





def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				__lowercase			      =							int(lowercase							)
				return [[int(row == column							) for column in range(lowercase							)] for row in range(lowercase							)]





def     UpperCAmelCase						(   lowercase							,      lowercase = True							):







				"""simple docstring"""



				if _check_not_integer(lowercase							):
								if return_map:
												return map(lowercase							,      zip(*lowercase							)							)
								else:
												return list(map(lowercase							,      zip(*lowercase							)							)							)
				raise TypeError('''Expected a matrix, got int/list instead'''							)





def     UpperCAmelCase						(   lowercase							,      lowercase							,      lowercase							):







				"""simple docstring"""



				__lowercase			      =							matrix[:row] + matrix[row + 1 :]
				return [row[:column] + row[column + 1 :] for row in minor]





def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				if len(lowercase							) == 1:
								return matrix[0][0]

				return sum(
				    x * determinant(minor(lowercase							,      0							,      lowercase							)							) * (-1) ** i
				    for i, x in enumerate(matrix[0]							)							)





def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				__lowercase			      =							determinant(lowercase							)
				if det == 0:
								return None

				__lowercase			      =							[
				    [determinant(minor(lowercase							,      lowercase							,      lowercase							)							) for j in range(len(lowercase							)							)]
				    for i in range(len(lowercase							)							)
				]

				__lowercase			      =							[
				    [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]							)]
				    for row in range(len(lowercase							)							)
				]
				__lowercase			      =							list(transpose(lowercase							)							)
				return scalar_multiply(lowercase							,      1 / det							)





def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				return not isinstance(lowercase							,      lowercase							) and not isinstance(matrix[0]							,      lowercase							)





def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				return len(lowercase							), len(matrix[0]							)





def     UpperCAmelCase						(   lowercase							,      lowercase							):







				"""simple docstring"""



				__lowercase			      =							_shape(lowercase							) + _shape(lowercase							)
				if shape[0] != shape[3] or shape[1] != shape[2]:
								__lowercase			      =							(
								    '''operands could not be broadcast together with shape '''
								    F"({shape[0], shape[1]}), ({shape[2], shape[3]})"
								)
								raise ValueError(lowercase							)
				return (shape[0], shape[2]), (shape[1], shape[3])





def     UpperCAmelCase						(   ):







				"""simple docstring"""



				__lowercase			      =							[[12, 10], [3, 9]]
				__lowercase			      =							[[3, 4], [7, 4]]
				__lowercase			      =							[[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
				__lowercase			      =							[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
				print(F"Add Operation, {add(lowercase							,      lowercase							) = } \n"							)
				print(
				    F"Multiply Operation, {multiply(lowercase							,      lowercase							) = } \n"							,      )
				print(F"Identity: {identity(5							)}\n"							)
				print(F"Minor of {matrix_c} = {minor(lowercase							,      1							,      2							)} \n"							)
				print(F"Determinant of {matrix_b} = {determinant(lowercase							)} \n"							)
				print(F"Inverse of {matrix_d} = {inverse(lowercase							)}\n"							)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		main()
import json
import os
import tempfile

import datasets
from utils import generate_example_dataset, get_duration


__a  :					int          =  5_0_0_0_0_0

__a   ,						__a  :					Any          =  os.path.split(__file__)
__a  :					Dict          =  os.path.join(RESULTS_BASEPATH, """results""", RESULTS_FILENAME.replace(""".py""", """.json"""))





@get_duration
def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				__lowercase			      =							dataset.select(range(0							,      len(lowercase							)							,      2							)							)





@get_duration
def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				__lowercase			      =							dataset.sort('''numbers'''							)





@get_duration
def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				__lowercase			      =							dataset.shuffle()





@get_duration
def     UpperCAmelCase						(   lowercase							):







				"""simple docstring"""



				__lowercase			      =							dataset.train_test_split(0.1							)





@get_duration
def     UpperCAmelCase						(   lowercase							,      lowercase=10							):







				"""simple docstring"""



				for shard_id in range(lowercase							):
								__lowercase			      =							dataset.shard(lowercase							,      lowercase							)





def     UpperCAmelCase						(   ):







				"""simple docstring"""



				__lowercase			      =							{'''num examples''': SPEED_TEST_N_EXAMPLES}
				__lowercase			      =							(select, sort, shuffle, train_test_split, shard)
				with tempfile.TemporaryDirectory() as tmp_dir:
								print('''generating dataset'''							)
								__lowercase			      =							datasets.Features({'''text''': datasets.Value('''string'''							), '''numbers''': datasets.Value('''float32'''							)}							)
								__lowercase			      =							generate_example_dataset(
								    os.path.join(lowercase							,      '''dataset.arrow'''							)							,      lowercase							,      num_examples=lowercase							)
								print('''Functions'''							)
								for func in functions:
												print(func.__name__							)
												__lowercase			      =							func(lowercase							)

				with open(lowercase							,      '''wb'''							) as f:
								f.write(json.dumps(lowercase							).encode('''utf-8'''							)							)


if __name__ == "__main__":  # useful to run the profiler
		benchmark_indices_mapping()