



'''simple docstring'''





import os
import tempfile
from functools import partial
from unittest import TestCase
from unittest.mock import patch

import numpy as np
import pytest

from datasets.arrow_dataset import Dataset
from datasets.search import ElasticSearchIndex, FaissIndex, MissingIndex

from .utils import require_elasticsearch, require_faiss


SCREAMING_SNAKE_CASE__          =  pytest.mark.integration


@require_faiss
class 					snake_case			(UpperCamelCase ):



       def 				_a   (					self   )	->				Tuple:
           lowercase__									=    Dataset.from_dict({"filename": ["my_name-train" + "_" + str(UpperCAmelCase_   ) for x in np.arange(30   ).tolist()]}   )
           return dset



       def 				_a   (					self   )	->				Dict:
           import faiss

           lowercase__									=    self._create_dummy_dataset()
           lowercase__									=    dset.map(
               lambda UpperCAmelCase_  ,UpperCAmelCase_   : {"vecs": i * np.ones(5  ,dtype=np.floataa   )}  ,with_indices=UpperCAmelCase_  ,keep_in_memory=UpperCAmelCase_   )
           lowercase__									=    dset.add_faiss_index("vecs"  ,batch_size=100  ,metric_type=faiss.METRIC_INNER_PRODUCT   )
           lowercase__							,							lowercase__									=    dset.get_nearest_examples("vecs"  ,np.ones(5  ,dtype=np.floataa   )   )
           self.assertEqual(examples["filename"][0]  ,"my_name-train_29"   )
           dset.drop_index("vecs"   )



       def 				_a   (					self   )	->				Union[str, Any]:
           import faiss

           lowercase__									=    self._create_dummy_dataset()
           dset.add_faiss_index_from_external_arrays(
               external_arrays=np.ones((30, 5)   ) * np.arange(30   ).reshape(-1  ,1   )  ,index_name="vecs"  ,batch_size=100  ,metric_type=faiss.METRIC_INNER_PRODUCT  ,)
           lowercase__							,							lowercase__									=    dset.get_nearest_examples("vecs"  ,np.ones(5  ,dtype=np.floataa   )   )
           self.assertEqual(examples["filename"][0]  ,"my_name-train_29"   )



       def 				_a   (					self   )	->				Any:
           import faiss

           lowercase__									=    self._create_dummy_dataset()
           dset.add_faiss_index_from_external_arrays(
               external_arrays=np.ones((30, 5)   ) * np.arange(30   ).reshape(-1  ,1   )  ,index_name="vecs"  ,metric_type=faiss.METRIC_INNER_PRODUCT  ,)

           # Setting delete=False and unlinking manually is not pretty... but it is required on Windows to
           # ensure somewhat stable behaviour. If we don't, we get PermissionErrors. This is an age-old issue.
           # see https://bugs.python.org/issue14243 and
           # https://stackoverflow.com/questions/23212435/permission-denied-to-write-to-my-temporary-file/23212515
           with tempfile.NamedTemporaryFile(delete=UpperCAmelCase_   ) as tmp_file:
               dset.save_faiss_index("vecs"  ,tmp_file.name   )
               dset.load_faiss_index("vecs2"  ,tmp_file.name   )
           os.unlink(tmp_file.name   )

           lowercase__							,							lowercase__									=    dset.get_nearest_examples("vecs2"  ,np.ones(5  ,dtype=np.floataa   )   )
           self.assertEqual(examples["filename"][0]  ,"my_name-train_29"   )



       def 				_a   (					self   )	->				Any:
           lowercase__									=    self._create_dummy_dataset()
           dset.add_faiss_index_from_external_arrays(
               external_arrays=np.ones((30, 5)   ) * np.arange(30   ).reshape(-1  ,1   )  ,index_name="vecs"   )
           dset.drop_index("vecs"   )
           self.assertRaises(UpperCAmelCase_  ,partial(dset.get_nearest_examples  ,"vecs2"  ,np.ones(5  ,dtype=np.floataa   )   )   )







       def 				_a   (					self   )	->				List[Any]:
           from elasticsearch import Elasticsearch

           lowercase__									=    self._create_dummy_dataset()
           with patch("elasticsearch.Elasticsearch.search"   ) as mocked_search, patch(
               "elasticsearch.client.IndicesClient.create"   ) as mocked_index_create, patch("elasticsearch.helpers.streaming_bulk"   ) as mocked_bulk:
               lowercase__									=    {"acknowledged": True}
               mocked_bulk.return_value([(True, None)] * 30   )
               lowercase__									=    {"hits": {"hits": [{"_score": 1, "_id": 29}]}}
               lowercase__									=    Elasticsearch()

               dset.add_elasticsearch_index("filename"  ,es_client=UpperCAmelCase_   )
               lowercase__							,							lowercase__									=    dset.get_nearest_examples("filename"  ,"my_name-train_29"   )
               self.assertEqual(examples["filename"][0]  ,"my_name-train_29"   )





@require_faiss
class 					snake_case			(UpperCamelCase ):



       def 				_a   (					self   )	->				int:
           import faiss

           lowercase__									=    FaissIndex(metric_type=faiss.METRIC_INNER_PRODUCT   )

           # add vectors
           index.add_vectors(np.eye(5  ,dtype=np.floataa   )   )
           self.assertIsNotNone(index.faiss_index   )
           self.assertEqual(index.faiss_index.ntotal  ,5   )
           index.add_vectors(np.zeros((5, 5)  ,dtype=np.floataa   )   )
           self.assertEqual(index.faiss_index.ntotal  ,10   )

           # single query
           lowercase__									=    np.zeros(5  ,dtype=np.floataa   )
           lowercase__									=    1
           lowercase__							,							lowercase__									=    index.search(UpperCAmelCase_   )
           self.assertRaises(UpperCAmelCase_  ,index.search  ,query.reshape(-1  ,1   )   )
           self.assertGreater(scores[0]  ,0   )
           self.assertEqual(indices[0]  ,1   )

           # batched queries
           lowercase__									=    np.eye(5  ,dtype=np.floataa   )[::-1]
           lowercase__							,							lowercase__									=    index.search_batch(UpperCAmelCase_   )
           self.assertRaises(UpperCAmelCase_  ,index.search_batch  ,queries[0]   )
           lowercase__									=    [scores[0] for scores in total_scores]
           lowercase__									=    [indices[0] for indices in total_indices]
           self.assertGreater(np.min(UpperCAmelCase_   )  ,0   )
           self.assertListEqual([4, 3, 2, 1, 0]  ,UpperCAmelCase_   )



       def 				_a   (					self   )	->				str:
           import faiss

           lowercase__									=    FaissIndex(string_factory="Flat"   )
           index.add_vectors(np.eye(5  ,dtype=np.floataa   )   )
           self.assertIsInstance(index.faiss_index  ,faiss.IndexFlat   )
           lowercase__									=    FaissIndex(string_factory="LSH"   )
           index.add_vectors(np.eye(5  ,dtype=np.floataa   )   )
           self.assertIsInstance(index.faiss_index  ,faiss.IndexLSH   )
           with self.assertRaises(UpperCAmelCase_   ):
               lowercase__									=    FaissIndex(string_factory="Flat"  ,custom_index=faiss.IndexFlat(5   )   )



       def 				_a   (					self   )	->				Any:
           import faiss

           lowercase__									=    faiss.IndexFlat(5   )
           lowercase__									=    FaissIndex(custom_index=UpperCAmelCase_   )
           index.add_vectors(np.eye(5  ,dtype=np.floataa   )   )
           self.assertIsInstance(index.faiss_index  ,faiss.IndexFlat   )







       def 				_a   (					self   )	->				str:
           import faiss

           lowercase__									=    FaissIndex(metric_type=faiss.METRIC_INNER_PRODUCT   )
           index.add_vectors(np.eye(5  ,dtype=np.floataa   )   )

           # Setting delete=False and unlinking manually is not pretty... but it is required on Windows to
           # ensure somewhat stable behaviour. If we don't, we get PermissionErrors. This is an age-old issue.
           # see https://bugs.python.org/issue14243 and
           # https://stackoverflow.com/questions/23212435/permission-denied-to-write-to-my-temporary-file/23212515
           with tempfile.NamedTemporaryFile(delete=UpperCAmelCase_   ) as tmp_file:
               index.save(tmp_file.name   )
               lowercase__									=    FaissIndex.load(tmp_file.name   )
           os.unlink(tmp_file.name   )

           lowercase__									=    np.zeros(5  ,dtype=np.floataa   )
           lowercase__									=    1
           lowercase__							,							lowercase__									=    index.search(UpperCAmelCase_   )
           self.assertGreater(scores[0]  ,0   )
           self.assertEqual(indices[0]  ,1   )





@require_faiss
def 							lowerCamelCase	(					_snake_case	:    List[Any]							):





    '''simple docstring'''


    import faiss

    lowercase__									=    FaissIndex(metric_type=faiss.METRIC_INNER_PRODUCT							)
    index.add_vectors(np.eye(5  ,dtype=np.floataa							)							)

    lowercase__									=    "index.faiss"
    lowercase__									=    f'''mock://{index_name}'''
    index.save(_snake_case  ,storage_options=mockfs.storage_options							)
    lowercase__									=    FaissIndex.load(_snake_case  ,storage_options=mockfs.storage_options							)

    lowercase__									=    np.zeros(5  ,dtype=np.floataa							)
    lowercase__									=    1
    lowercase__							,							lowercase__									=    index.search(_snake_case							)
    assert scores[0] > 0
    assert indices[0] == 1



@require_elasticsearch
class 					snake_case			(UpperCamelCase ):



       def 				_a   (					self   )	->				Optional[Any]:
           from elasticsearch import Elasticsearch

           with patch("elasticsearch.Elasticsearch.search"   ) as mocked_search, patch(
               "elasticsearch.client.IndicesClient.create"   ) as mocked_index_create, patch("elasticsearch.helpers.streaming_bulk"   ) as mocked_bulk:
               lowercase__									=    Elasticsearch()
               lowercase__									=    {"acknowledged": True}
               lowercase__									=    ElasticSearchIndex(es_client=UpperCAmelCase_   )
               mocked_bulk.return_value([(True, None)] * 3   )
               index.add_documents(["foo", "bar", "foobar"]   )

               # single query
               lowercase__									=    "foo"
               lowercase__									=    {"hits": {"hits": [{"_score": 1, "_id": 0}]}}
               lowercase__							,							lowercase__									=    index.search(UpperCAmelCase_   )
               self.assertEqual(scores[0]  ,1   )
               self.assertEqual(indices[0]  ,0   )

               # single query with timeout
               lowercase__									=    "foo"
               lowercase__									=    {"hits": {"hits": [{"_score": 1, "_id": 0}]}}
               lowercase__							,							lowercase__									=    index.search(UpperCAmelCase_  ,request_timeout=30   )
               self.assertEqual(scores[0]  ,1   )
               self.assertEqual(indices[0]  ,0   )

               # batched queries
               lowercase__									=    ["foo", "bar", "foobar"]
               lowercase__									=    {"hits": {"hits": [{"_score": 1, "_id": 1}]}}
               lowercase__							,							lowercase__									=    index.search_batch(UpperCAmelCase_   )
               lowercase__									=    [scores[0] for scores in total_scores]
               lowercase__									=    [indices[0] for indices in total_indices]
               self.assertGreater(np.min(UpperCAmelCase_   )  ,0   )
               self.assertListEqual([1, 1, 1]  ,UpperCAmelCase_   )

               # batched queries with timeout
               lowercase__									=    ["foo", "bar", "foobar"]
               lowercase__									=    {"hits": {"hits": [{"_score": 1, "_id": 1}]}}
               lowercase__							,							lowercase__									=    index.search_batch(UpperCAmelCase_  ,request_timeout=30   )
               lowercase__									=    [scores[0] for scores in total_scores]
               lowercase__									=    [indices[0] for indices in total_indices]
               self.assertGreater(np.min(UpperCAmelCase_   )  ,0   )
               self.assertListEqual([1, 1, 1]  ,UpperCAmelCase_   )









'''simple docstring'''





from __future__ import annotations

import math




def 							lowerCamelCase	(					_snake_case	:    float  ,_snake_case	:    int							):





    '''simple docstring'''


    lowercase__									=    u
    for i in range(1  ,_snake_case							):
        lowercase__									=    temp * (u - i)
    return temp




def 							lowerCamelCase	(					):





    '''simple docstring'''


    lowercase__									=    int(input("enter the numbers of values: "							)							)
    lowercase__									=    []
    for _ in range(_snake_case							):
        y.append([]							)
    for i in range(_snake_case							):
        for j in range(_snake_case							):
            y[i].append(_snake_case							)
            lowercase__									=    0

    print("enter the values of parameters in a list: "							)
    lowercase__									=    list(map(_snake_case  ,input().split()							)							)

    print("enter the values of corresponding parameters: "							)
    for i in range(_snake_case							):
        lowercase__									=    float(input()							)

    lowercase__									=    int(input("enter the value to interpolate: "							)							)
    lowercase__									=    (value - x[0]) / (x[1] - x[0])

    # for calculating forward difference table

    for i in range(1  ,_snake_case							):
        for j in range(n - i							):
            lowercase__									=    y[j + 1][i - 1] - y[j][i - 1]

    lowercase__									=    y[0][0]
    for i in range(1  ,_snake_case							):
        summ += (ucal(_snake_case  ,_snake_case							) * y[0][i]) / math.factorial(_snake_case							)

    print(f'''the value at {value} is {summ}'''							)


if __name__ == "__main__":
 main()




