
from __future__ import annotations

from typing import Any





class 	_lowerCAmelCase					:




				def __init__(					self				,				_UpperCamelCase				,				_UpperCamelCase				,				_UpperCamelCase = 0     )				->      None:
							lowerCAmelCase_	,  lowerCAmelCase_						=	row, column
							lowerCAmelCase_						=	[[default_value for c in range(_UpperCamelCase     )] for r in range(_UpperCamelCase     )]




				def __str__(					self     )				->      str:
							lowerCAmelCase_						=	f"""Matrix consist of {self.row} rows and {self.column} columns\n"""

							# Make string identifier
							lowerCAmelCase_						=	0
							for row_vector in self.array:
										for obj in row_vector:
													lowerCAmelCase_						=	max(_UpperCamelCase				,				len(str(_UpperCamelCase     )     )     )
							lowerCAmelCase_						=	f"""%{max_element_length}s"""

							# Make string and return
							def single_line(_UpperCamelCase     ) -> str:
										nonlocal string_format_identifier
										lowerCAmelCase_						=	"["
										line += ", ".join(string_format_identifier % (obj,) for obj in row_vector     )
										line += "]"
										return line

							s += "\n".join(single_line(_UpperCamelCase     ) for row_vector in self.array     )
							return s




				def __repr__(					self     )				->      str:
							return str(self     )




				def      __a						(					self				,				_UpperCamelCase     )				->      bool:
							if not (isinstance(_UpperCamelCase				,				(list, tuple)     ) and len(_UpperCamelCase     ) == 2):
										return False
							elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
										return False
							else:
										return True




				def __getitem__(					self				,				_UpperCamelCase     )				->      Any:
							assert self.validate_indicies(_UpperCamelCase     )
							return self.array[loc[0]][loc[1]]




				def __setitem__(					self				,				_UpperCamelCase				,				_UpperCamelCase     )				->      None:
							assert self.validate_indicies(_UpperCamelCase     )
							lowerCAmelCase_						=	value




				def __add__(					self				,				_UpperCamelCase     )				->      Matrix:
							assert isinstance(_UpperCamelCase				,				_UpperCamelCase     )
							assert self.row == another.row and self.column == another.column

							# Add
							lowerCAmelCase_						=	Matrix(self.row				,				self.column     )
							for r in range(self.row     ):
										for c in range(self.column     ):
													lowerCAmelCase_						=	self[r, c] + another[r, c]
							return result




				def __neg__(					self     )				->      Matrix:
							lowerCAmelCase_						=	Matrix(self.row				,				self.column     )
							for r in range(self.row     ):
										for c in range(self.column     ):
													lowerCAmelCase_						=	-self[r, c]
							return result




				def __sub__(					self				,				_UpperCamelCase     )				->      Matrix:
							return self + (-another)




				def __mul__(					self				,				_UpperCamelCase     )				->      Matrix:

							if isinstance(_UpperCamelCase				,				(int, float)     ):  # Scalar multiplication
										lowerCAmelCase_						=	Matrix(self.row				,				self.column     )
										for r in range(self.row     ):
													for c in range(self.column     ):
																lowerCAmelCase_						=	self[r, c] * another
										return result
							elif isinstance(_UpperCamelCase				,				_UpperCamelCase     ):  # Matrix multiplication
										assert self.column == another.row
										lowerCAmelCase_						=	Matrix(self.row				,				another.column     )
										for r in range(self.row     ):
													for c in range(another.column     ):
																for i in range(self.column     ):
																			result[r, c] += self[r, i] * another[i, c]
										return result
							else:
										lowerCAmelCase_						=	f"""Unsupported type given for another ({type(_UpperCamelCase     )})"""
										raise TypeError(_UpperCamelCase     )




				def      __a						(					self     )				->      Matrix:
							lowerCAmelCase_						=	Matrix(self.column				,				self.row     )
							for r in range(self.row     ):
										for c in range(self.column     ):
													lowerCAmelCase_						=	self[r, c]
							return result




				def      __a						(					self				,				_UpperCamelCase				,				_UpperCamelCase     )				->      Any:
							assert isinstance(_UpperCamelCase				,				_UpperCamelCase     ) and isinstance(_UpperCamelCase				,				_UpperCamelCase     )
							assert self.row == self.column == u.row == v.row  # u, v should be column vector
							assert u.column == v.column == 1  # u, v should be column vector

							# Calculate
							lowerCAmelCase_						=	v.transpose()
							lowerCAmelCase_						=	(v_t * self * u)[0, 0] + 1
							if numerator_factor == 0:
										return None  # It's not invertable
							return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":






			def    lowerCamelCase__				(				):




						"""simple docstring"""


						lowerCAmelCase_						=	Matrix(3    ,							3    ,							0				)
						for i in range(3				):
									lowerCAmelCase_						=	1
						print(F"""a^(-1) is {ainv}"""				)
						# u, v
						lowerCAmelCase_						=	Matrix(3    ,							1    ,							0				)
						lowerCAmelCase_	,  lowerCAmelCase_	,  lowerCAmelCase_						=	1, 2, -3
						lowerCAmelCase_						=	Matrix(3    ,							1    ,							0				)
						lowerCAmelCase_	,  lowerCAmelCase_	,  lowerCAmelCase_						=	4, -2, 5
						print(F"""u is {u}"""				)
						print(F"""v is {v}"""				)
						print(F"""uv^T is {u * v.transpose()}"""				)
						# Sherman Morrison
						print(F"""(a + uv^T)^(-1) is {ainv.sherman_morrison(__lowerCAmelCase    ,							__lowerCAmelCase				)}"""				)






			def    lowerCamelCase__				(				):




						"""simple docstring"""


						import doctest

						doctest.testmod()
			testa()





import os
import re
import shutil
import sys
import tempfile
import unittest

import black


_A   =     os.path.abspath(os.path.dirname(os.path.dirname(os.path.dirname(__file__))))
sys.path.append(os.path.join(git_repo_path, "utils"))

import check_copies  # noqa: E402


# This is the reference code that will be used in the tests.
# If DDPMSchedulerOutput is changed in scheduling_ddpm.py, this code needs to be manually updated.
_A   =     "    \"\"\"\n    Output class for the scheduler's step function output.\n\n    Args:\n        prev_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):\n            Computed sample (x_{t-1}) of previous timestep. `prev_sample` should be used as next model input in the\n            denoising loop.\n        pred_original_sample (`torch.FloatTensor` of shape `(batch_size, num_channels, height, width)` for images):\n            The predicted denoised sample (x_{0}) based on the model output from the current timestep.\n            `pred_original_sample` can be used to preview progress or for guidance.\n    \"\"\"\n\n    prev_sample: torch.FloatTensor\n    pred_original_sample: Optional[torch.FloatTensor] = None\n"





class 	_lowerCAmelCase					(	unittest.TestCase       ):




				def      __a						(					self     )				->      str:
							lowerCAmelCase_						=	tempfile.mkdtemp()
							os.makedirs(os.path.join(self.diffusers_dir				,				"schedulers/"     )     )
							lowerCAmelCase_						=	self.diffusers_dir
							shutil.copy(
							    os.path.join(_UpperCamelCase				,				"src/diffusers/schedulers/scheduling_ddpm.py"     )				,				os.path.join(self.diffusers_dir				,				"schedulers/scheduling_ddpm.py"     )				,				)




				def      __a						(					self     )				->      Optional[int]:
							lowerCAmelCase_						=	"src/diffusers"
							shutil.rmtree(self.diffusers_dir     )




				def      __a						(					self				,				_UpperCamelCase				,				_UpperCamelCase				,				_UpperCamelCase				,				_UpperCamelCase=None     )				->      Optional[Any]:
							lowerCAmelCase_						=	comment + f"""\nclass {class_name}(nn.Module):\n""" + class_code
							if overwrite_result is not None:
										lowerCAmelCase_						=	comment + f"""\nclass {class_name}(nn.Module):\n""" + overwrite_result
							lowerCAmelCase_						=	black.Mode(target_versions={black.TargetVersion.PYaa}				,				line_length=119     )
							lowerCAmelCase_						=	black.format_str(_UpperCamelCase				,				mode=_UpperCamelCase     )
							lowerCAmelCase_						=	os.path.join(self.diffusers_dir				,				"new_code.py"     )
							with open(_UpperCamelCase				,				"w"				,				newline="\n"     ) as f:
										f.write(_UpperCamelCase     )
							if overwrite_result is None:
										self.assertTrue(len(check_copies.is_copy_consistent(_UpperCamelCase     )     ) == 0     )
							else:
										check_copies.is_copy_consistent(f.name				,				overwrite=_UpperCamelCase     )
										with open(_UpperCamelCase				,				"r"     ) as f:
													self.assertTrue(f.read()				,				_UpperCamelCase     )




				def      __a						(					self     )				->      Optional[Any]:
							lowerCAmelCase_						=	check_copies.find_code_in_diffusers("schedulers.scheduling_ddpm.DDPMSchedulerOutput"     )
							self.assertEqual(_UpperCamelCase				,				_UpperCamelCase     )




				def      __a						(					self     )				->      Tuple:
							# Base copy consistency
							self.check_copy_consistency(
							    "# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput"				,				"DDPMSchedulerOutput"				,				REFERENCE_CODE + "\n"				,				)

							# With no empty line at the end
							self.check_copy_consistency(
							    "# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput"				,				"DDPMSchedulerOutput"				,				_UpperCamelCase				,				)

							# Copy consistency with rename
							self.check_copy_consistency(
							    "# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->Test"				,				"TestSchedulerOutput"				,				re.sub("DDPM"				,				"Test"				,				_UpperCamelCase     )				,				)

							# Copy consistency with a really long name
							lowerCAmelCase_						=	"TestClassWithAReallyLongNameBecauseSomePeopleLikeThatForSomeReason"
							self.check_copy_consistency(
							    f"""# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->{long_class_name}"""				,				f"""{long_class_name}SchedulerOutput"""				,				re.sub("Bert"				,				_UpperCamelCase				,				_UpperCamelCase     )				,				)

							# Copy consistency with overwrite
							self.check_copy_consistency(
							    "# Copied from diffusers.schedulers.scheduling_ddpm.DDPMSchedulerOutput with DDPM->Test"				,				"TestSchedulerOutput"				,				_UpperCamelCase				,				overwrite_result=re.sub("DDPM"				,				"Test"				,				_UpperCamelCase     )				,				)



