



"""simple docstring"""
import re
import time
from typing import Optional

import IPython.display as disp

from ..trainer_callback import TrainerCallback
from ..trainer_utils import IntervalStrategy, has_length
def    A_  (			_lowercase	):







						'''simple docstring'''


						snake_case_ :List[str]						=			int(_lowercase	)
						snake_case_,       snake_case_,       snake_case_ :Dict						=			t // 3600, (t // 60) % 60, t % 60
						return f"""{h}:{m:02d}:{s:02d}""" if h != 0 else f"""{m:02d}:{s:02d}"""
def    A_  (			_lowercase,					_lowercase,					_lowercase,					_lowercase,					_lowercase=300	):







						'''simple docstring'''


						return f"""
    <div>
      {prefix}
      <progress value='{value}' max='{total}' style='width:{width}px; height:20px; vertical-align: middle;'></progress>
      {label}
    </div>
    """
def    A_  (			_lowercase	):







						'''simple docstring'''


						snake_case_ :Dict						=			"""<table border=\"1\" class=\"dataframe\">\n"""
						html_code += """  <thead>\n <tr style="text-align: left;">\n"""
						for i in items[0]:
												html_code += f"""      <th>{i}</th>\n"""
						html_code += "    </tr>\n  </thead>\n  <tbody>\n"
						for line in items[1:]:
												html_code += "    <tr>\n"
												for elt in line:
																		snake_case_ :Any						=			f"""{elt:.6f}""" if isinstance(_lowercase,					_lowercase	) else str(_lowercase	)
																		html_code += f"""      <td>{elt}</td>\n"""
												html_code += "    </tr>\n"
						html_code += "  </tbody>\n</table><p>"
						return html_code
class 				lowerCamelCase  :






					'''simple docstring'''





					_A		:			Union[str, Any]						=     5
					_A		:			List[Any]						=     0.2






					def __init__(       self:							List[Any]						,     snake_case:							int						,     snake_case:							Optional[str] = None						,     snake_case:							bool = True						,     snake_case:							Optional["NotebookTrainingTracker"] = None						,     snake_case:							int = 300						,     )   ->	List[Any]:
											snake_case_ :Tuple						=			total
											snake_case_ :Optional[Any]						=			"""""" if prefix is None else prefix
											snake_case_ :Tuple						=			leave
											snake_case_ :Union[str, Any]						=			parent
											snake_case_ :Any						=			width
											snake_case_ :List[str]						=			None
											snake_case_ :Tuple						=			None
											snake_case_ :Optional[int]						=			None






					def    lowerCAmelCase_				(       self:							List[Any]						,     snake_case:							int						,     snake_case:							bool = False						,     snake_case:							str = None						)   ->	Any:
											snake_case_ :Any						=			value
											if comment is not None:
																	snake_case_ :List[str]						=			comment
											if self.last_value is None:
																	snake_case_ :Union[str, Any]						=			time.time()
																	snake_case_ :int						=			value
																	snake_case_ :Dict						=			None
																	snake_case_ :Tuple						=			self.warmup
																	snake_case_ :Optional[Any]						=			1
																	self.update_bar(snake_case						)
											elif value <= self.last_value and not force_update:
																	return
											elif force_update or self.first_calls > 0 or value >= min(self.last_value + self.wait_for						,     self.total						):
																	if self.first_calls > 0:
																							self.first_calls -= 1
																	snake_case_ :List[str]						=			time.time()
																	snake_case_ :Any						=			current_time - self.start_time
																	# We could have value = self.start_value if the update is called twixe with the same start value.
																	if value > self.start_value:
																							snake_case_ :Dict						=			self.elapsed_time / (value - self.start_value)
																	else:
																							snake_case_ :Optional[int]						=			None
																	if value >= self.total:
																							snake_case_ :Optional[int]						=			self.total
																							snake_case_ :Tuple						=			None
																							if not self.leave:
																													self.close()
																	elif self.average_time_per_item is not None:
																							snake_case_ :Optional[int]						=			self.average_time_per_item * (self.total - value)
																	self.update_bar(snake_case						)
																	snake_case_ :str						=			value
																	snake_case_ :str						=			current_time
																	if self.average_time_per_item is None:
																							snake_case_ :Optional[Any]						=			1
																	else:
																							snake_case_ :Dict						=			max(int(self.update_every / self.average_time_per_item						)						,     1						)






					def    lowerCAmelCase_				(       self:							Optional[int]						,     snake_case:							Dict						,     snake_case:							str=None						)   ->	Dict:
											snake_case_ :Any						=			""" """ * (len(str(self.total						)						) - len(str(snake_case						)						)) + str(snake_case						)
											if self.elapsed_time is None:
																	snake_case_ :List[Any]						=			f"""[{spaced_value}/{self.total} : < :"""
											elif self.predicted_remaining is None:
																	snake_case_ :Any						=			f"""[{spaced_value}/{self.total} {format_time(self.elapsed_time						)}"""
											else:
																	snake_case_ :str						=			(
																	    f"""[{spaced_value}/{self.total} {format_time(self.elapsed_time						)} <"""
																	    f""" {format_time(self.predicted_remaining						)}"""
																	)
																	self.label += f""", {1/self.average_time_per_item:.2f} it/s"""
											self.label += "]" if self.comment is None or len(self.comment						) == 0 else f""", {self.comment}]"""
											self.display()






					def    lowerCAmelCase_				(       self:							Optional[Any]						)   ->	Any:
											snake_case_ :Optional[int]						=			html_progress_bar(self.value						,     self.total						,     self.prefix						,     self.label						,     self.width						)
											if self.parent is not None:
																	# If this is a child bar, the parent will take care of the display.
																	self.parent.display()
																	return
											if self.output is None:
																	snake_case_ :Optional[Any]						=			disp.display(disp.HTML(self.html_code						)						,     display_id=snake_case						)
											else:
																	self.output.update(disp.HTML(self.html_code						)						)






					def    lowerCAmelCase_				(       self:							List[str]						)   ->	Any:
											if self.parent is None and self.output is not None:
																	self.output.update(disp.HTML(""""""						)						)

class 				lowerCamelCase  (			_lowerCAmelCase				):






					'''simple docstring'''





					def __init__(       self:							Dict						,     snake_case:							Dict						,     snake_case:							int=None						)   ->	Any:
											super().__init__(snake_case						)
											snake_case_ :Optional[Any]						=			None if column_names is None else [column_names]
											snake_case_ :Union[str, Any]						=			None






					def    lowerCAmelCase_				(       self:							Optional[int]						)   ->	List[Any]:
											snake_case_ :Optional[int]						=			html_progress_bar(self.value						,     self.total						,     self.prefix						,     self.label						,     self.width						)
											if self.inner_table is not None:
																	self.html_code += text_to_html_table(self.inner_table						)
											if self.child_bar is not None:
																	self.html_code += self.child_bar.html_code
											if self.output is None:
																	snake_case_ :List[Any]						=			disp.display(disp.HTML(self.html_code						)						,     display_id=snake_case						)
											else:
																	self.output.update(disp.HTML(self.html_code						)						)






					def    lowerCAmelCase_				(       self:							Optional[Any]						,     snake_case:							str						)   ->	List[Any]:
											if self.inner_table is None:
																	snake_case_ :Any						=			[list(values.keys()						), list(values.values()						)]
											else:
																	snake_case_ :int						=			self.inner_table[0]
																	if len(self.inner_table						) == 1:
																							# We give a chance to update the column names at the first iteration
																							for key in values.keys():
																													if key not in columns:
																																			columns.append(snake_case						)
																							snake_case_ :Dict						=			columns
																	self.inner_table.append([values[c] for c in columns]						)






					def    lowerCAmelCase_				(       self:							Any						,     snake_case:							List[Any]						,     snake_case:							Optional[int]=None						,     snake_case:							List[str]=300						)   ->	Any:
											snake_case_ :Union[str, Any]						=			NotebookProgressBar(snake_case						,     prefix=snake_case						,     parent=self						,     width=snake_case						)
											return self.child_bar






					def    lowerCAmelCase_				(       self:							Any						)   ->	Any:
											snake_case_ :Tuple						=			None
											self.display()

class 				lowerCamelCase  (			_lowerCAmelCase				):






					'''simple docstring'''





					def __init__(       self:							int						)   ->	Any:
											snake_case_ :Tuple						=			None
											snake_case_ :str						=			None
											snake_case_ :Dict						=			False






					def    lowerCAmelCase_				(       self:							Any						,     snake_case:							Any						,     snake_case:							List[Any]						,     snake_case:							Optional[Any]						,     **snake_case:							str						)   ->	Tuple:
											snake_case_ :Dict						=			"""Epoch""" if args.evaluation_strategy == IntervalStrategy.EPOCH else """Step"""
											snake_case_ :str						=			0
											snake_case_ :str						=			0
											snake_case_ :Any						=			[self.first_column] + ["""Training Loss"""]
											if args.evaluation_strategy != IntervalStrategy.NO:
																	column_names.append("""Validation Loss"""						)
											snake_case_ :Optional[int]						=			NotebookTrainingTracker(state.max_steps						,     snake_case						)






					def    lowerCAmelCase_				(       self:							Any						,     snake_case:							Tuple						,     snake_case:							Dict						,     snake_case:							Union[str, Any]						,     **snake_case:							List[Any]						)   ->	Optional[int]:
											snake_case_ :Tuple						=			int(state.epoch						) if int(state.epoch						) == state.epoch else f"""{state.epoch:.2f}"""
											self.training_tracker.update(
											    state.global_step + 1						,     comment=f"""Epoch {epoch}/{state.num_train_epochs}"""						,     force_update=self._force_next_update						,     )
											snake_case_ :Dict						=			False






					def    lowerCAmelCase_				(       self:							List[Any]						,     snake_case:							Dict						,     snake_case:							str						,     snake_case:							Dict						,     snake_case:							Tuple=None						,     **snake_case:							Optional[Any]						)   ->	Any:
											if not has_length(snake_case						):
																	return
											if self.prediction_bar is None:
																	if self.training_tracker is not None:
																							snake_case_ :Optional[Any]						=			self.training_tracker.add_child(len(snake_case						)						)
																	else:
																							snake_case_ :List[str]						=			NotebookProgressBar(len(snake_case						)						)
																	self.prediction_bar.update(1						)
											else:
																	self.prediction_bar.update(self.prediction_bar.value + 1						)






					def    lowerCAmelCase_				(       self:							Union[str, Any]						,     snake_case:							Union[str, Any]						,     snake_case:							Optional[Any]						,     snake_case:							Union[str, Any]						,     **snake_case:							int						)   ->	Any:
											if self.prediction_bar is not None:
																	self.prediction_bar.close()
											snake_case_ :Tuple						=			None






					def    lowerCAmelCase_				(       self:							Optional[Any]						,     snake_case:							int						,     snake_case:							List[str]						,     snake_case:							Optional[Any]						,     snake_case:							List[str]=None						,     **snake_case:							int						)   ->	Any:
											# Only for when there is no evaluation
											if args.evaluation_strategy == IntervalStrategy.NO and "loss" in logs:
																	snake_case_ :int						=			{"""Training Loss""": logs["""loss"""]}
																	# First column is necessarily Step sine we're not in epoch eval strategy
																	snake_case_ :Optional[Any]						=			state.global_step
																	self.training_tracker.write_line(snake_case						)






					def    lowerCAmelCase_				(       self:							Optional[Any]						,     snake_case:							Dict						,     snake_case:							Union[str, Any]						,     snake_case:							int						,     snake_case:							str=None						,     **snake_case:							List[Any]						)   ->	List[Any]:
											if self.training_tracker is not None:
																	snake_case_ :Optional[Any]						=			{"""Training Loss""": """No log""", """Validation Loss""": """No log"""}
																	for log in reversed(state.log_history						):
																							if "loss" in log:
																													snake_case_ :Optional[int]						=			log["""loss"""]
																													break

																	if self.first_column == "Epoch":
																							snake_case_ :int						=			int(state.epoch						)
																	else:
																							snake_case_ :Any						=			state.global_step
																	snake_case_ :str						=			"""eval"""
																	for k in metrics:
																							if k.endswith("""_loss"""						):
																													snake_case_ :List[str]						=			re.sub(r"""\_loss$"""						,     """"""						,     snake_case						)
																	snake_case_ :Union[str, Any]						=			metrics.pop("""total_flos"""						,     snake_case						)
																	snake_case_ :int						=			metrics.pop("""epoch"""						,     snake_case						)
																	snake_case_ :List[str]						=			metrics.pop(f"""{metric_key_prefix}_runtime"""						,     snake_case						)
																	snake_case_ :Union[str, Any]						=			metrics.pop(f"""{metric_key_prefix}_samples_per_second"""						,     snake_case						)
																	snake_case_ :Dict						=			metrics.pop(f"""{metric_key_prefix}_steps_per_second"""						,     snake_case						)
																	snake_case_ :Optional[int]						=			metrics.pop(f"""{metric_key_prefix}_jit_compilation_time"""						,     snake_case						)
																	for k, v in metrics.items():
																							if k == f"""{metric_key_prefix}_loss""":
																													snake_case_ :Union[str, Any]						=			v
																							else:
																													snake_case_ :Dict						=			k.split("""_"""						)
																													snake_case_ :List[str]						=			""" """.join([part.capitalize() for part in splits[1:]]						)
																													snake_case_ :List[str]						=			v
																	self.training_tracker.write_line(snake_case						)
																	self.training_tracker.remove_child()
																	snake_case_ :int						=			None
																	# Evaluation takes a long time so we should force the next update.
																	snake_case_ :int						=			True






					def    lowerCAmelCase_				(       self:							List[str]						,     snake_case:							Any						,     snake_case:							Optional[int]						,     snake_case:							Any						,     **snake_case:							Optional[int]						)   ->	Any:
											self.training_tracker.update(
											    state.global_step						,     comment=f"""Epoch {int(state.epoch						)}/{state.num_train_epochs}"""						,     force_update=snake_case						)
											snake_case_ :Optional[int]						=			None





"""simple docstring"""
from math import factorial
class 				lowerCamelCase  :






					'''simple docstring'''





					def __init__(       self:							Optional[int]						,     snake_case:							Dict						,     snake_case:							int						)   ->	Tuple:
											snake_case_ :List[Any]						=			real
											if isinstance(snake_case						,     snake_case						):
																	snake_case_ :Tuple						=			[1] * rank
											else:
																	snake_case_ :Optional[Any]						=			rank






					def __repr__(       self:							List[str]						)   ->	Tuple:
											return (
											    f"""{self.real}+"""
											    f"""{'+'.join(str(snake_case						)+'E'+str(n+1						)for n,dual in enumerate(self.duals						)						)}"""
											)






					def    lowerCAmelCase_				(       self:							Optional[int]						)   ->	Optional[int]:
											snake_case_ :Any						=			self.duals.copy()
											while cur[-1] == 0:
																	cur.pop(-1						)
											return Dual(self.real						,     snake_case						)






					def __add__(       self:							Optional[int]						,     snake_case:							Dict						)   ->	List[str]:
											if not isinstance(snake_case						,     snake_case						):
																	return Dual(self.real + other						,     self.duals						)
											snake_case_ :List[Any]						=			self.duals.copy()
											snake_case_ :Tuple						=			other.duals.copy()
											if len(snake_case						) > len(snake_case						):
																	o_dual.extend([1] * (len(snake_case						) - len(snake_case						))						)
											elif len(snake_case						) < len(snake_case						):
																	s_dual.extend([1] * (len(snake_case						) - len(snake_case						))						)
											snake_case_ :Dict						=			[]
											for i in range(len(snake_case						)						):
																	new_duals.append(s_dual[i] + o_dual[i]						)
											return Dual(self.real + other.real						,     snake_case						)

					_A		:			str						=     __add__






					def __sub__(       self:							Tuple						,     snake_case:							Union[str, Any]						)   ->	Tuple:
											return self + other * -1






					def __mul__(       self:							str						,     snake_case:							Tuple						)   ->	Optional[Any]:
											if not isinstance(snake_case						,     snake_case						):
																	snake_case_ :Dict						=			[]
																	for i in self.duals:
																							new_duals.append(i * other						)
																	return Dual(self.real * other						,     snake_case						)
											snake_case_ :int						=			[0] * (len(self.duals						) + len(other.duals						) + 1)
											for i, item in enumerate(self.duals						):
																	for j, jtem in enumerate(other.duals						):
																							new_duals[i + j + 1] += item * jtem
											for k in range(len(self.duals						)						):
																	new_duals[k] += self.duals[k] * other.real
											for index in range(len(other.duals						)						):
																	new_duals[index] += other.duals[index] * self.real
											return Dual(self.real * other.real						,     snake_case						)

					_A		:			int						=     __mul__






					def __truediv__(       self:							List[str]						,     snake_case:							List[str]						)   ->	List[str]:
											if not isinstance(snake_case						,     snake_case						):
																	snake_case_ :Optional[Any]						=			[]
																	for i in self.duals:
																							new_duals.append(i / other						)
																	return Dual(self.real / other						,     snake_case						)
											raise ValueError






					def __floordiv__(       self:							int						,     snake_case:							List[Any]						)   ->	Any:
											if not isinstance(snake_case						,     snake_case						):
																	snake_case_ :Optional[int]						=			[]
																	for i in self.duals:
																							new_duals.append(i // other						)
																	return Dual(self.real // other						,     snake_case						)
											raise ValueError






					def __pow__(       self:							Optional[Any]						,     snake_case:							Optional[int]						)   ->	List[Any]:
											if n < 0 or isinstance(snake_case						,     snake_case						):
																	raise ValueError("""power must be a positive integer"""						)
											if n == 0:
																	return 1
											if n == 1:
																	return self
											snake_case_ :str						=			self
											for _ in range(n - 1						):
																	x *= self
											return x

def    A_  (			_lowercase,					_lowercase,					_lowercase	):







						'''simple docstring'''


						if not callable(_lowercase	):
												raise ValueError("""differentiate() requires a function as input for func"""	)
						if not isinstance(_lowercase,					(float, int)	):
												raise ValueError("""differentiate() requires a float as input for position"""	)
						if not isinstance(_lowercase,					_lowercase	):
												raise ValueError("""differentiate() requires an int as input for order"""	)
						snake_case_ :Optional[Any]						=			Dual(_lowercase,					1	)
						snake_case_ :List[Any]						=			func(_lowercase	)
						if order == 0:
												return result.real
						return result.duals[order - 1] * factorial(_lowercase	)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						def    A_  (			_lowercase	):







												'''simple docstring'''


												return y**2 * y**4

						print(differentiate(f, 9, 2))
