





# Copyright 2023 The HuggingFace Inc. team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
import ast
import difflib
from collections.abc import Mapping
from typing import Any, Callable, Dict







class 						_lowerCAmelCase(						_a):

		"""simple docstring"""







		pass
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case=None    ,	snake_case=False     )  ->						Dict:


			'''simple docstring'''







			try:
						__A				 =       ast.parse(snake_case     )
			except SyntaxError as e:
						print('''The code generated by the agent is not valid.\n'''    ,	snake_case     )
						return
			if state is None:
						__A				 =       {}
			__A				 =       None
			for idx, node in enumerate(expression.body     ):
						try:
									__A				 =       evaluate_ast(snake_case    ,	snake_case    ,	snake_case     )
						except InterpretorError as e:
									__A				 =       F"Evaluation of the code stopped at line {idx} before the end because of the following error"
									if chat_mode:
												msg += (
												    F". Copy paste the following error message and send it back to the agent:\nI get an error: '{e}'"
												)
									else:
												msg += F":\n{e}"
									print(snake_case     )
									break
						if line_result is not None:
									__A				 =       line_result

			return result
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						List[Any]:


			'''simple docstring'''







			if isinstance(snake_case    ,	ast.Assign     ):
						# Assignement -> we evaluate the assignement which should update the state
						# We return the variable assigned as it may be used to determine the final result.
						return evaluate_assign(snake_case    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.Call     ):
						# Function call -> we return the value of the function call
						return evaluate_call(snake_case    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.Constant     ):
						# Constant -> just return the value
						return expression.value
			elif isinstance(snake_case    ,	ast.Dict     ):
						# Dict -> evaluate all keys and values
						__A				 =       [evaluate_ast(snake_case    ,	snake_case    ,	snake_case     ) for k in expression.keys]
						__A				 =       [evaluate_ast(snake_case    ,	snake_case    ,	snake_case     ) for v in expression.values]
						return dict(zip(snake_case    ,	snake_case     )     )
			elif isinstance(snake_case    ,	ast.Expr     ):
						# Expression -> evaluate the content
						return evaluate_ast(expression.value    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.For     ):
						# For loop -> execute the loop
						return evaluate_for(snake_case    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.FormattedValue     ):
						# Formatted value (part of f-string) -> evaluate the content and return
						return evaluate_ast(expression.value    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.If     ):
						# If -> execute the right branch
						return evaluate_if(snake_case    ,	snake_case    ,	snake_case     )
			elif hasattr(snake_case    ,	'''Index'''     ) and isinstance(snake_case    ,	ast.Index     ):
						return evaluate_ast(expression.value    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.JoinedStr     ):
						return "".join([str(evaluate_ast(snake_case    ,	snake_case    ,	snake_case     )     ) for v in expression.values]     )
			elif isinstance(snake_case    ,	ast.List     ):
						# List -> evaluate all elements
						return [evaluate_ast(snake_case    ,	snake_case    ,	snake_case     ) for elt in expression.elts]
			elif isinstance(snake_case    ,	ast.Name     ):
						# Name -> pick up the value in the state
						return evaluate_name(snake_case    ,	snake_case    ,	snake_case     )
			elif isinstance(snake_case    ,	ast.Subscript     ):
						# Subscript -> return the value of the indexing
						return evaluate_subscript(snake_case    ,	snake_case    ,	snake_case     )
			else:
						# For now we refuse anything else. Let's add things as we need them.
						raise InterpretorError(F"{expression.__class__.__name__} is not supported."     )
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						List[str]:


			'''simple docstring'''







			__A				 =       assign.targets
			__A				 =       evaluate_ast(assign.value    ,	snake_case    ,	snake_case     )

			if len(snake_case     ) == 1:
						__A				 =       result
			else:
						if len(snake_case     ) != len(snake_case     ):
									raise InterpretorError(F"Expected {len(snake_case     )} values but got {len(snake_case     )}."     )
						for var_name, r in zip(snake_case    ,	snake_case     ):
									__A				 =       r
			return result
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						List[str]:


			'''simple docstring'''







			if not isinstance(call.func    ,	ast.Name     ):
						raise InterpretorError(
						    F"It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func} of "
						    F"type {type(call.func     )}."     )
			__A				 =       call.func.id
			if func_name not in tools:
						raise InterpretorError(
						    F"It is not permitted to evaluate other functions than the provided tools (tried to execute {call.func.id})."     )

			__A				 =       tools[func_name]
			# Todo deal with args
			__A				 =       [evaluate_ast(snake_case    ,	snake_case    ,	snake_case     ) for arg in call.args]
			__A				 =       {keyword.arg: evaluate_ast(keyword.value    ,	snake_case    ,	snake_case     ) for keyword in call.keywords}
			return func(*snake_case    ,	**snake_case     )
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						List[str]:


			'''simple docstring'''







			__A				 =       evaluate_ast(subscript.slice    ,	snake_case    ,	snake_case     )
			__A				 =       evaluate_ast(subscript.value    ,	snake_case    ,	snake_case     )
			if isinstance(snake_case    ,	(list, tuple)     ):
						return value[int(snake_case     )]
			if index in value:
						return value[index]
			if isinstance(snake_case    ,	snake_case     ) and isinstance(snake_case    ,	snake_case     ):
						__A				 =       difflib.get_close_matches(snake_case    ,	list(value.keys()     )     )
						if len(snake_case     ) > 0:
									return value[close_matches[0]]

			raise InterpretorError(F"Could not index {value} with '{index}'."     )
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						Optional[int]:


			'''simple docstring'''







			if name.id in state:
						return state[name.id]
			__A				 =       difflib.get_close_matches(name.id    ,	list(state.keys()     )     )
			if len(snake_case     ) > 0:
						return state[close_matches[0]]
			raise InterpretorError(F"The variable `{name.id}` is not defined."     )
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						int:


			'''simple docstring'''







			if len(condition.ops     ) > 1:
						raise InterpretorError('''Cannot evaluate conditions with multiple operators'''     )

			__A				 =       evaluate_ast(condition.left    ,	snake_case    ,	snake_case     )
			__A				 =       condition.ops[0]
			__A				 =       evaluate_ast(condition.comparators[0]    ,	snake_case    ,	snake_case     )

			if isinstance(snake_case    ,	ast.Eq     ):
						return left == right
			elif isinstance(snake_case    ,	ast.NotEq     ):
						return left != right
			elif isinstance(snake_case    ,	ast.Lt     ):
						return left < right
			elif isinstance(snake_case    ,	ast.LtE     ):
						return left <= right
			elif isinstance(snake_case    ,	ast.Gt     ):
						return left > right
			elif isinstance(snake_case    ,	ast.GtE     ):
						return left >= right
			elif isinstance(snake_case    ,	ast.Is     ):
						return left is right
			elif isinstance(snake_case    ,	ast.IsNot     ):
						return left is not right
			elif isinstance(snake_case    ,	ast.In     ):
						return left in right
			elif isinstance(snake_case    ,	ast.NotIn     ):
						return left not in right
			else:
						raise InterpretorError(F"Operator not supported: {comparator}"     )
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						int:


			'''simple docstring'''







			__A				 =       None
			if evaluate_condition(if_statement.test    ,	snake_case    ,	snake_case     ):
						for line in if_statement.body:
									__A				 =       evaluate_ast(snake_case    ,	snake_case    ,	snake_case     )
									if line_result is not None:
												__A				 =       line_result
			else:
						for line in if_statement.orelse:
									__A				 =       evaluate_ast(snake_case    ,	snake_case    ,	snake_case     )
									if line_result is not None:
												__A				 =       line_result
			return result
def 				__UpperCamelCase  (		snake_case    ,	snake_case    ,	snake_case     )  ->						Tuple:


			'''simple docstring'''







			__A				 =       None
			__A				 =       evaluate_ast(for_loop.iter    ,	snake_case    ,	snake_case     )
			for counter in iterator:
						__A				 =       counter
						for expression in for_loop.body:
									__A				 =       evaluate_ast(snake_case    ,	snake_case    ,	snake_case     )
									if line_result is not None:
												__A				 =       line_result
			return result








import numpy as np
def 				__UpperCamelCase  (		snake_case     )  ->						Any:


   '''simple docstring'''







   __A ,						__A				 =       a.shape
   __A				 =       min(snake_case    ,	snake_case     )
   __A				 =       np.eye(snake_case     )
   __A				 =       a.copy()

   for k in range(t - 1     ):
      # select a column of modified matrix A':
      __A				 =       r[k:, [k]]
      # construct first basis vector
      __A				 =       np.zeros_like(snake_case     )
      __A				 =       1.0
      # determine scaling factor
      __A				 =       np.linalg.norm(snake_case     )
      # construct vector v for Householder reflection
      __A				 =       x + np.sign(x[0]     ) * alpha * ea
      v /= np.linalg.norm(snake_case     )

      # construct the Householder matrix
      __A				 =       np.eye(m - k     ) - 2.0 * v @ v.T
      # pad with ones and zeros as necessary
      __A				 =       np.block([[np.eye(snake_case     ), np.zeros((k, m - k)     )], [np.zeros((m - k, k)     ), q_k]]     )

      __A				 =       q @ q_k.T
      __A				 =       q_k @ r

   return q, r


if __name__ == "__main__":
    import doctest

    doctest.testmod()

