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"""Mathematics database.""" |
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import datasets |
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import os |
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logger = datasets.logging.get_logger(__name__) |
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_CITATION = """ |
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@article{2019arXiv, |
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author = {Saxton, Grefenstette, Hill, Kohli}, |
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title = {Analysing Mathematical Reasoning Abilities of Neural Models}, |
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year = {2019}, |
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journal = {arXiv:1904.01557} |
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} |
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""" |
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_DESCRIPTION = """ |
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Mathematics database. |
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This dataset code generates mathematical question and answer pairs, |
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from a range of question types at roughly school-level difficulty. |
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This is designed to test the mathematical learning and algebraic |
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reasoning skills of learning models. |
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Original paper: Analysing Mathematical Reasoning Abilities of Neural Models |
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(Saxton, Grefenstette, Hill, Kohli). |
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Example usage: |
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train_examples, val_examples = datasets.load_dataset( |
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'math_dataset/arithmetic__mul', |
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split=['train', 'test'], |
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as_supervised=True) |
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""" |
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_DATA_URL = os.path.join('mathematics_dataset', 'mathematics_dataset', 'ds.zip') |
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_TRAIN_CATEGORY = [ |
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"train-easy", |
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"train-medium", |
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"train-hard", |
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] |
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_INTERPOLATE_CATEGORY = [ |
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"interpolate", |
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] |
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_MODULES = [ |
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"measurement__conversion", |
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"algebra__linear_1d", |
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"algebra__linear_1d_composed", |
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"algebra__linear_2d", |
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"algebra__linear_2d_composed", |
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"algebra__polynomial_roots", |
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"algebra__polynomial_roots_composed", |
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"algebra__sequence_next_term", |
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"algebra__sequence_nth_term", |
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"arithmetic__add_or_sub", |
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"arithmetic__add_or_sub_in_base", |
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"arithmetic__add_sub_multiple", |
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"arithmetic__div", |
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"arithmetic__mixed", |
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"arithmetic__mul", |
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"arithmetic__mul_div_multiple", |
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"arithmetic__nearest_integer_root", |
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"arithmetic__simplify_surd", |
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"calculus__differentiate", |
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"calculus__differentiate_composed", |
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"comparison__closest", |
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"comparison__closest_composed", |
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"comparison__kth_biggest", |
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"comparison__kth_biggest_composed", |
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"comparison__pair", |
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"comparison__pair_composed", |
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"comparison__sort", |
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"comparison__sort_composed", |
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"measurement__conversion", |
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"measurement__time", |
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"numbers__base_conversion", |
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"numbers__div_remainder", |
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"numbers__div_remainder_composed", |
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"numbers__gcd", |
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"numbers__gcd_composed", |
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"numbers__is_factor", |
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"numbers__is_factor_composed", |
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"numbers__is_prime", |
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"numbers__is_prime_composed", |
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"numbers__lcm", |
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"numbers__lcm_composed", |
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"numbers__list_prime_factors", |
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"numbers__list_prime_factors_composed", |
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"numbers__place_value", |
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"numbers__place_value_composed", |
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"numbers__round_number", |
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"numbers__round_number_composed", |
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"polynomials__add", |
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"polynomials__coefficient_named", |
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"polynomials__collect", |
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"polynomials__compose", |
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"polynomials__evaluate", |
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"polynomials__evaluate_composed", |
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"polynomials__expand", |
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"polynomials__simplify_power", |
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"probability__swr_p_level_set", |
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"probability__swr_p_sequence", |
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"algebra__linear_1d", |
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"algebra__linear_1d_composed", |
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"algebra__linear_2d", |
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"algebra__linear_2d_composed", |
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"algebra__polynomial_roots", |
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"algebra__polynomial_roots_composed", |
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"algebra__sequence_next_term", |
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"algebra__sequence_nth_term", |
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"arithmetic__add_or_sub", |
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"arithmetic__add_or_sub_in_base", |
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"arithmetic__add_sub_multiple", |
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"arithmetic__div", |
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"arithmetic__mixed", |
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"arithmetic__mul", |
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"arithmetic__mul_div_multiple", |
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"arithmetic__nearest_integer_root", |
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"arithmetic__simplify_surd", |
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"calculus__differentiate", |
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"calculus__differentiate_composed", |
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"comparison__closest", |
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"comparison__closest_composed", |
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"comparison__kth_biggest", |
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"comparison__kth_biggest_composed", |
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"comparison__pair", |
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"comparison__pair_composed", |
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"comparison__sort", |
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"comparison__sort_composed", |
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"measurement__conversion", |
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"measurement__time", |
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"numbers__base_conversion", |
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"numbers__div_remainder", |
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"numbers__div_remainder_composed", |
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"numbers__gcd", |
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"numbers__gcd_composed", |
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"numbers__is_factor", |
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"numbers__is_factor_composed", |
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"numbers__is_prime", |
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"numbers__is_prime_composed", |
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"numbers__lcm", |
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"numbers__lcm_composed", |
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"numbers__list_prime_factors", |
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"numbers__list_prime_factors_composed", |
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"numbers__place_value", |
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"numbers__place_value_composed", |
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"numbers__round_number", |
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"numbers__round_number_composed", |
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"polynomials__add", |
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"polynomials__coefficient_named", |
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"polynomials__collect", |
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"polynomials__compose", |
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"polynomials__evaluate", |
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"polynomials__evaluate_composed", |
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"polynomials__expand", |
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"polynomials__simplify_power", |
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"probability__swr_p_level_set", |
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"probability__swr_p_sequence", |
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] |
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_QUESTION = "question" |
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_ANSWER = "answer" |
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_DATASET_VERSION = "ds" |
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def _generate_builder_configs(): |
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"""Generate configs with different subsets of mathematics dataset.""" |
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configs = [] |
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for module in sorted(set(_MODULES)): |
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configs.append( |
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datasets.BuilderConfig( |
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name=module, |
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version=datasets.Version("1.0.0"), |
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description=_DESCRIPTION, |
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) |
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) |
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return configs |
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class PortugueseMathDataset(datasets.GeneratorBasedBuilder): |
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"""Math Dataset.""" |
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BUILDER_CONFIGS = _generate_builder_configs() |
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def _info(self): |
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return datasets.DatasetInfo( |
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description=_DESCRIPTION, |
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features=datasets.Features( |
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{ |
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_QUESTION: datasets.Value("string"), |
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_ANSWER: datasets.Value("string"), |
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} |
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), |
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supervised_keys=(_QUESTION, _ANSWER), |
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homepage="https://github.com/deepmind/mathematics_dataset", |
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citation=_CITATION, |
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) |
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def _get_filepaths_from_categories(self, config, categories): |
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filepaths = [] |
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for category in categories: |
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data_file = "/".join([_DATASET_VERSION, category, config]) |
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filepaths.append(data_file) |
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return set(filepaths) |
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def _split_generators(self, dl_manager): |
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"""Returns SplitGenerators.""" |
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archive = dl_manager.download(_DATA_URL) |
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config = self.config.name + ".txt" |
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return [ |
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datasets.SplitGenerator( |
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name=datasets.Split.TRAIN, |
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gen_kwargs={ |
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"files": dl_manager.iter_archive(archive), |
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"config": config, |
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"categories": _TRAIN_CATEGORY, |
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}, |
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), |
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datasets.SplitGenerator( |
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name=datasets.Split.TEST, |
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gen_kwargs={ |
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"files": dl_manager.iter_archive(archive), |
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"config": config, |
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"categories": _INTERPOLATE_CATEGORY, |
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}, |
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), |
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] |
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def _generate_examples(self, files, config, categories): |
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"""Yields examples based on directory, module file..""" |
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idx = 0 |
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filepaths = self._get_filepaths_from_categories(config, categories) |
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for path, f in files: |
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if not filepaths: |
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break |
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elif path in filepaths: |
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for question in f: |
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if not question: |
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continue |
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else: |
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for answer in f: |
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if not answer: |
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continue |
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else: |
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yield idx, {_QUESTION: question, _ANSWER: answer} |
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idx += 1 |
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break |
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filepaths.remove(path) |