
from __future__ import annotations

_lowercase			:  Tuple   							=	tuple[int, int, int]
_lowercase			:  str   							=	tuple[str, str, str]


# used alphabet --------------------------
# from string.ascii_uppercase
_lowercase			:  str   							=	"ABCDEFGHIJKLMNOPQRSTUVWXYZ"

# -------------------------- default selection --------------------------
# rotors --------------------------
_lowercase			:  Any   							=	"EGZWVONAHDCLFQMSIPJBYUKXTR"
_lowercase			:  Any   							=	"FOBHMDKEXQNRAULPGSJVTYICZW"
_lowercase			:  Dict   							=	"ZJXESIUQLHAVRMDOYGTNFWPBKC"
# reflector --------------------------
_lowercase			:  Dict   							=	{
    "A": "N",
    "N": "A",
    "B": "O",
    "O": "B",
    "C": "P",
    "P": "C",
    "D": "Q",
    "Q": "D",
    "E": "R",
    "R": "E",
    "F": "S",
    "S": "F",
    "G": "T",
    "T": "G",
    "H": "U",
    "U": "H",
    "I": "V",
    "V": "I",
    "J": "W",
    "W": "J",
    "K": "X",
    "X": "K",
    "L": "Y",
    "Y": "L",
    "M": "Z",
    "Z": "M",
}

# -------------------------- extra rotors --------------------------
_lowercase			:  Union[str, Any]   							=	"RMDJXFUWGISLHVTCQNKYPBEZOA"
_lowercase			:  Dict   							=	"SGLCPQWZHKXAREONTFBVIYJUDM"
_lowercase			:  Union[str, Any]   							=	"HVSICLTYKQUBXDWAJZOMFGPREN"
_lowercase			:  Any   							=	"RZWQHFMVDBKICJLNTUXAGYPSOE"
_lowercase			:  List[Any]   							=	"LFKIJODBEGAMQPXVUHYSTCZRWN"
_lowercase			:  int   							=	"KOAEGVDHXPQZMLFTYWJNBRCIUS"
def  snake_case_		(    __SCREAMING_SNAKE_CASE :			RotorPositionT				,				__SCREAMING_SNAKE_CASE :			RotorSelectionT				,				__SCREAMING_SNAKE_CASE :			str							):



						"""simple docstring"""





						if (unique_rotsel := len(set(__SCREAMING_SNAKE_CASE							)							)) < 3:
												lowercase_     :					Any													=	F'''Please use 3 unique rotors (not {unique_rotsel})'''
												raise Exception(__SCREAMING_SNAKE_CASE							)

						# Checks if rotor positions are valid
						lowercase_     :					Dict													=	rotpos
						if not 0 < rotorposa <= len(__SCREAMING_SNAKE_CASE							):
												lowercase_     :					str													=	F'''First rotor position is not within range of 1..26 ({rotorposa}'''
												raise ValueError(__SCREAMING_SNAKE_CASE							)
						if not 0 < rotorposa <= len(__SCREAMING_SNAKE_CASE							):
												lowercase_     :					Optional[int]													=	F'''Second rotor position is not within range of 1..26 ({rotorposa})'''
												raise ValueError(__SCREAMING_SNAKE_CASE							)
						if not 0 < rotorposa <= len(__SCREAMING_SNAKE_CASE							):
												lowercase_     :					str													=	F'''Third rotor position is not within range of 1..26 ({rotorposa})'''
												raise ValueError(__SCREAMING_SNAKE_CASE							)

						# Validates string and returns dict
						lowercase_     :					str													=	_plugboard(__SCREAMING_SNAKE_CASE							)

						return rotpos, rotsel, pbdict
def  snake_case_		(    __SCREAMING_SNAKE_CASE :			str							):



						"""simple docstring"""





						if not isinstance(__SCREAMING_SNAKE_CASE				,				__SCREAMING_SNAKE_CASE							):
												lowercase_     :					Optional[Any]													=	F'''Plugboard setting isn\'t type string ({type(__SCREAMING_SNAKE_CASE							)})'''
												raise TypeError(__SCREAMING_SNAKE_CASE							)
						elif len(__SCREAMING_SNAKE_CASE							) % 2 != 0:
												lowercase_     :					Dict													=	F'''Odd number of symbols ({len(__SCREAMING_SNAKE_CASE							)})'''
												raise Exception(__SCREAMING_SNAKE_CASE							)
						elif pbstring == "":
												return {}

						pbstring.replace(''' '''				,				''''''							)

						# Checks if all characters are unique
						lowercase_     :					Any													=	set()
						for i in pbstring:
												if i not in abc:
																		lowercase_     :					Dict													=	F'''\'{i}\' not in list of symbols'''
																		raise Exception(__SCREAMING_SNAKE_CASE							)
												elif i in tmppbl:
																		lowercase_     :					Any													=	F'''Duplicate symbol ({i})'''
																		raise Exception(__SCREAMING_SNAKE_CASE							)
												else:
																		tmppbl.add(__SCREAMING_SNAKE_CASE							)
						del tmppbl

						# Created the dictionary
						lowercase_     :					Dict													=	{}
						for j in range(0				,				len(__SCREAMING_SNAKE_CASE							) - 1				,				2							):
												lowercase_     :					str													=	pbstring[j + 1]
												lowercase_     :					Optional[Any]													=	pbstring[j]

						return pb
def  snake_case_		(    __SCREAMING_SNAKE_CASE :			str				,				__SCREAMING_SNAKE_CASE :			RotorPositionT				,				__SCREAMING_SNAKE_CASE :			RotorSelectionT = (rotora, rotora, rotora)				,				__SCREAMING_SNAKE_CASE :			str = ""				,				):



						"""simple docstring"""





						lowercase_     :					Optional[int]													=	text.upper()
						lowercase_     :					int													=	_validator(
						    __SCREAMING_SNAKE_CASE				,				__SCREAMING_SNAKE_CASE				,				plugb.upper()							)

						lowercase_     :					Tuple													=	rotor_position
						lowercase_     :					str													=	rotor_selection
						rotorposa -= 1
						rotorposa -= 1
						rotorposa -= 1

						lowercase_     :					Tuple													=	[]

						# encryption/decryption process --------------------------
						for symbol in text:
												if symbol in abc:
																		# 1st plugboard --------------------------
																		if symbol in plugboard:
																								lowercase_     :					Tuple													=	plugboard[symbol]

																		# rotor ra --------------------------
																		lowercase_     :					str													=	abc.index(__SCREAMING_SNAKE_CASE							) + rotorposa
																		lowercase_     :					str													=	rotora[index % len(__SCREAMING_SNAKE_CASE							)]

																		# rotor rb --------------------------
																		lowercase_     :					Any													=	abc.index(__SCREAMING_SNAKE_CASE							) + rotorposa
																		lowercase_     :					Optional[int]													=	rotora[index % len(__SCREAMING_SNAKE_CASE							)]

																		# rotor rc --------------------------
																		lowercase_     :					str													=	abc.index(__SCREAMING_SNAKE_CASE							) + rotorposa
																		lowercase_     :					Any													=	rotora[index % len(__SCREAMING_SNAKE_CASE							)]

																		# reflector --------------------------
																		# this is the reason you don't need another machine to decipher

																		lowercase_     :					Optional[Any]													=	reflector[symbol]

																		# 2nd rotors
																		lowercase_     :					List[str]													=	abc[rotora.index(__SCREAMING_SNAKE_CASE							) - rotorposa]
																		lowercase_     :					Dict													=	abc[rotora.index(__SCREAMING_SNAKE_CASE							) - rotorposa]
																		lowercase_     :					Optional[int]													=	abc[rotora.index(__SCREAMING_SNAKE_CASE							) - rotorposa]

																		# 2nd plugboard
																		if symbol in plugboard:
																								lowercase_     :					str													=	plugboard[symbol]

																		# moves/resets rotor positions
																		rotorposa += 1
																		if rotorposa >= len(__SCREAMING_SNAKE_CASE							):
																								lowercase_     :					Dict													=	0
																								rotorposa += 1
																		if rotorposa >= len(__SCREAMING_SNAKE_CASE							):
																								lowercase_     :					str													=	0
																								rotorposa += 1
																		if rotorposa >= len(__SCREAMING_SNAKE_CASE							):
																								lowercase_     :					int													=	0

        # else:
        #    pass
        #    Error could be also raised
        #    raise ValueError(
        #       'Invalid symbol('+repr(symbol)+')')
												result.append(__SCREAMING_SNAKE_CASE							)

						return "".join(__SCREAMING_SNAKE_CASE							)


if __name__ == "__main__":
							_lowercase			:  Tuple   							=	"This is my Python script that emulates the Enigma machine from WWII."
							_lowercase			:  Union[str, Any]   							=	(1, 1, 1)
							_lowercase			:  Optional[int]   							=	"pictures"
							_lowercase			:  List[Any]   							=	(rotora, rotora, rotora)
							_lowercase			:  Dict   							=	enigma(message, rotor_pos, rotor_sel, pb)

							print("Encrypted message:", en)
							print("Decrypted message:", enigma(en, rotor_pos, rotor_sel, pb))





'''simple docstring'''







import torch

from diffusers import DDPMScheduler

from .test_schedulers import SchedulerCommonTest






class 			lowerCAmelCase__       (  lowerCamelCase_					):
					lowerCAmelCase_					       =					(DDPMScheduler,)






					def      _snake_case   (       self    ,							**__SCREAMING_SNAKE_CASE		):


											"""simple docstring"""





											lowercase_     :					Optional[Any]													=	{
											    '''num_train_timesteps''': 10_00,
											    '''beta_start''': 0.0_001,
											    '''beta_end''': 0.02,
											    '''beta_schedule''': '''linear''',
											    '''variance_type''': '''fixed_small''',
											    '''clip_sample''': True,
											}

											config.update(**__SCREAMING_SNAKE_CASE		)
											return config






					def      _snake_case   (       self		):


											"""simple docstring"""





											for timesteps in [1, 5, 1_00, 10_00]:
																	self.check_over_configs(num_train_timesteps=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											for beta_start, beta_end in zip([0.0_001, 0.001, 0.01, 0.1]    ,							[0.002, 0.02, 0.2, 2]		):
																	self.check_over_configs(beta_start=__SCREAMING_SNAKE_CASE    ,							beta_end=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											for schedule in ["linear", "squaredcos_cap_v2"]:
																	self.check_over_configs(beta_schedule=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											for variance in ["fixed_small", "fixed_large", "other"]:
																	self.check_over_configs(variance_type=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											for clip_sample in [True, False]:
																	self.check_over_configs(clip_sample=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											self.check_over_configs(thresholding=__SCREAMING_SNAKE_CASE		)
											for threshold in [0.5, 1.0, 2.0]:
																	for prediction_type in ["epsilon", "sample", "v_prediction"]:
																							self.check_over_configs(
																							    thresholding=__SCREAMING_SNAKE_CASE    ,							prediction_type=__SCREAMING_SNAKE_CASE    ,							sample_max_value=__SCREAMING_SNAKE_CASE    ,							)






					def      _snake_case   (       self		):


											"""simple docstring"""





											for prediction_type in ["epsilon", "sample", "v_prediction"]:
																	self.check_over_configs(prediction_type=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											for t in [0, 5_00, 9_99]:
																	self.check_over_forward(time_step=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					List[str]													=	self.scheduler_classes[0]
											lowercase_     :					int													=	self.get_scheduler_config()
											lowercase_     :					str													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											assert torch.sum(torch.abs(scheduler._get_variance(0		) - 0.0		)		) < 1E-5
											assert torch.sum(torch.abs(scheduler._get_variance(4_87		) - 0.00_979		)		) < 1E-5
											assert torch.sum(torch.abs(scheduler._get_variance(9_99		) - 0.02		)		) < 1E-5






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					Union[str, Any]													=	self.scheduler_classes[0]
											lowercase_     :					Any													=	self.get_scheduler_config()
											lowercase_     :					Optional[int]													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											lowercase_     :					Any													=	len(__SCREAMING_SNAKE_CASE		)

											lowercase_     :					Optional[int]													=	self.dummy_model()
											lowercase_     :					Any													=	self.dummy_sample_deter
											lowercase_     :					List[str]													=	torch.manual_seed(0		)

											for t in reversed(range(__SCREAMING_SNAKE_CASE		)		):
																	# 1. predict noise residual
																	lowercase_     :					Optional[int]													=	model(__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE		)

																	# 2. predict previous mean of sample x_t-1
																	lowercase_     :					Union[str, Any]													=	scheduler.step(__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE    ,							generator=__SCREAMING_SNAKE_CASE		).prev_sample

																	# if t > 0:
																	#     noise = self.dummy_sample_deter
																	#     variance = scheduler.get_variance(t) ** (0.5) * noise
																	#
																	# sample = pred_prev_sample + variance
																	lowercase_     :					List[str]													=	pred_prev_sample

											lowercase_     :					str													=	torch.sum(torch.abs(__SCREAMING_SNAKE_CASE		)		)
											lowercase_     :					Tuple													=	torch.mean(torch.abs(__SCREAMING_SNAKE_CASE		)		)

											assert abs(result_sum.item() - 258.9_606		) < 1E-2
											assert abs(result_mean.item() - 0.3_372		) < 1E-3






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					Optional[Any]													=	self.scheduler_classes[0]
											lowercase_     :					Tuple													=	self.get_scheduler_config(prediction_type='''v_prediction'''		)
											lowercase_     :					Any													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											lowercase_     :					Optional[int]													=	len(__SCREAMING_SNAKE_CASE		)

											lowercase_     :					List[str]													=	self.dummy_model()
											lowercase_     :					int													=	self.dummy_sample_deter
											lowercase_     :					str													=	torch.manual_seed(0		)

											for t in reversed(range(__SCREAMING_SNAKE_CASE		)		):
																	# 1. predict noise residual
																	lowercase_     :					Optional[Any]													=	model(__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE		)

																	# 2. predict previous mean of sample x_t-1
																	lowercase_     :					Optional[Any]													=	scheduler.step(__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE    ,							generator=__SCREAMING_SNAKE_CASE		).prev_sample

																	# if t > 0:
																	#     noise = self.dummy_sample_deter
																	#     variance = scheduler.get_variance(t) ** (0.5) * noise
																	#
																	# sample = pred_prev_sample + variance
																	lowercase_     :					int													=	pred_prev_sample

											lowercase_     :					str													=	torch.sum(torch.abs(__SCREAMING_SNAKE_CASE		)		)
											lowercase_     :					Tuple													=	torch.mean(torch.abs(__SCREAMING_SNAKE_CASE		)		)

											assert abs(result_sum.item() - 202.0_296		) < 1E-2
											assert abs(result_mean.item() - 0.2_631		) < 1E-3






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					Optional[int]													=	self.scheduler_classes[0]
											lowercase_     :					int													=	self.get_scheduler_config()
											lowercase_     :					int													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											lowercase_     :					int													=	[1_00, 87, 50, 1, 0]

											scheduler.set_timesteps(timesteps=__SCREAMING_SNAKE_CASE		)

											lowercase_     :					List[str]													=	scheduler.timesteps

											for i, timestep in enumerate(__SCREAMING_SNAKE_CASE		):
																	if i == len(__SCREAMING_SNAKE_CASE		) - 1:
																							lowercase_     :					str													=	-1
																	else:
																							lowercase_     :					Any													=	timesteps[i + 1]

																	lowercase_     :					Optional[Any]													=	scheduler.previous_timestep(__SCREAMING_SNAKE_CASE		)
																	lowercase_     :					int													=	prev_t.item()

																	self.assertEqual(__SCREAMING_SNAKE_CASE    ,							__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					Tuple													=	self.scheduler_classes[0]
											lowercase_     :					List[Any]													=	self.get_scheduler_config()
											lowercase_     :					str													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											lowercase_     :					Optional[int]													=	[1_00, 87, 50, 51, 0]

											with self.assertRaises(__SCREAMING_SNAKE_CASE    ,							msg='''`custom_timesteps` must be in descending order.'''		):
																	scheduler.set_timesteps(timesteps=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					Optional[Any]													=	self.scheduler_classes[0]
											lowercase_     :					str													=	self.get_scheduler_config()
											lowercase_     :					Tuple													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											lowercase_     :					Tuple													=	[1_00, 87, 50, 1, 0]
											lowercase_     :					List[str]													=	len(__SCREAMING_SNAKE_CASE		)

											with self.assertRaises(__SCREAMING_SNAKE_CASE    ,							msg='''Can only pass one of `num_inference_steps` or `custom_timesteps`.'''		):
																	scheduler.set_timesteps(num_inference_steps=__SCREAMING_SNAKE_CASE    ,							timesteps=__SCREAMING_SNAKE_CASE		)






					def      _snake_case   (       self		):


											"""simple docstring"""





											lowercase_     :					List[Any]													=	self.scheduler_classes[0]
											lowercase_     :					Optional[int]													=	self.get_scheduler_config()
											lowercase_     :					Any													=	scheduler_class(**__SCREAMING_SNAKE_CASE		)

											lowercase_     :					str													=	[scheduler.config.num_train_timesteps]

											with self.assertRaises(
											    __SCREAMING_SNAKE_CASE    ,							msg='''`timesteps` must start before `self.config.train_timesteps`: {scheduler.config.num_train_timesteps}}'''    ,							):
																	scheduler.set_timesteps(timesteps=__SCREAMING_SNAKE_CASE		)



