import datasets import json import os import pyarrow as pa _DESCRIPTION = "A comprehensive collection of permutation composition datasets for various mathematical groups including symmetric, alternating, cyclic, dihedral, and sporadic groups." _HOMEPAGE = "https://huggingface.co/datasets/BeeGass/permutation-groups" _LICENSE = "MIT" class PermutationGroupsConfig(datasets.BuilderConfig): def __init__(self, *args, group_name=None, group_degree=None, group_order=None, data_dir=None, max_len=None, **kwargs): super().__init__(*args, **kwargs) self.group_name = group_name self.group_degree = group_degree self.group_order = group_order self.data_dir = data_dir self.max_len = max_len class PermutationGroups(datasets.ArrowBasedBuilder): """Use ArrowBasedBuilder for better performance with Arrow files.""" VERSION = datasets.Version("2.0.0") BUILDER_CONFIGS = [ PermutationGroupsConfig( name="s3_data", description="Symmetric Group S3 (order 6).", group_name="S3", group_degree=3, group_order=6, data_dir="data/s3_data", ), PermutationGroupsConfig( name="s4_data", description="Symmetric Group S4 (order 24).", group_name="S4", group_degree=4, group_order=24, data_dir="data/s4_data", ), PermutationGroupsConfig( name="s5_data", description="Symmetric Group S5 (order 120).", group_name="S5", group_degree=5, group_order=120, data_dir="data/s5_data", ), PermutationGroupsConfig( name="s6_data", description="Symmetric Group S6 (order 720).", group_name="S6", group_degree=6, group_order=720, data_dir="data/s6_data", ), PermutationGroupsConfig( name="s7_data", description="Symmetric Group S7 (order 5040).", group_name="S7", group_degree=7, group_order=5040, data_dir="data/s7_data", ), PermutationGroupsConfig( name="a3_data", description="Alternating Group A3 (order 3).", group_name="A3", group_degree=3, group_order=3, data_dir="data/a3_data", ), PermutationGroupsConfig( name="a4_data", description="Alternating Group A4 (order 12).", group_name="A4", group_degree=4, group_order=12, data_dir="data/a4_data", ), PermutationGroupsConfig( name="a5_data", description="Alternating Group A5 (order 60).", group_name="A5", group_degree=5, group_order=60, data_dir="data/a5_data", ), PermutationGroupsConfig( name="a6_data", description="Alternating Group A6 (order 360).", group_name="A6", group_degree=6, group_order=360, data_dir="data/a6_data", ), PermutationGroupsConfig( name="a7_data", description="Alternating Group A7 (order 2520).", group_name="A7", group_degree=7, group_order=2520, data_dir="data/a7_data", ), PermutationGroupsConfig( name="c3_data", description="Cyclic Group C3 (order 3).", group_name="C3", group_degree=3, group_order=3, data_dir="data/c3_data", ), PermutationGroupsConfig( name="c4_data", description="Cyclic Group C4 (order 4).", group_name="C4", group_degree=4, group_order=4, data_dir="data/c4_data", ), PermutationGroupsConfig( name="c5_data", description="Cyclic Group C5 (order 5).", group_name="C5", group_degree=5, group_order=5, data_dir="data/c5_data", ), PermutationGroupsConfig( name="c6_data", description="Cyclic Group C6 (order 6).", group_name="C6", group_degree=6, group_order=6, data_dir="data/c6_data", ), PermutationGroupsConfig( name="c7_data", description="Cyclic Group C7 (order 7).", group_name="C7", group_degree=7, group_order=7, data_dir="data/c7_data", ), PermutationGroupsConfig( name="c8_data", description="Cyclic Group C8 (order 8).", group_name="C8", group_degree=8, group_order=8, data_dir="data/c8_data", ), PermutationGroupsConfig( name="c10_data", description="Cyclic Group C10 (order 10).", group_name="C10", group_degree=10, group_order=10, data_dir="data/c10_data", ), PermutationGroupsConfig( name="c12_data", description="Cyclic Group C12 (order 12).", group_name="C12", group_degree=12, group_order=12, data_dir="data/c12_data", ), PermutationGroupsConfig( name="z3_data", description="Cyclic Group Z3 (order 3).", group_name="Z3", group_degree=3, group_order=3, data_dir="data/z3_data", ), PermutationGroupsConfig( name="z4_data", description="Cyclic Group Z4 (order 4).", group_name="Z4", group_degree=4, group_order=4, data_dir="data/z4_data", ), PermutationGroupsConfig( name="z5_data", description="Cyclic Group Z5 (order 5).", group_name="Z5", group_degree=5, group_order=5, data_dir="data/z5_data", ), PermutationGroupsConfig( name="z6_data", description="Cyclic Group Z6 (order 6).", group_name="Z6", group_degree=6, group_order=6, data_dir="data/z6_data", ), PermutationGroupsConfig( name="d3_data", description="Dihedral Group D3 (order 6).", group_name="D3", group_degree=3, group_order=6, data_dir="data/d3_data", ), PermutationGroupsConfig( name="d4_data", description="Dihedral Group D4 (order 8).", group_name="D4", group_degree=4, group_order=8, data_dir="data/d4_data", ), PermutationGroupsConfig( name="d5_data", description="Dihedral Group D5 (order 10).", group_name="D5", group_degree=5, group_order=10, data_dir="data/d5_data", ), PermutationGroupsConfig( name="d6_data", description="Dihedral Group D6 (order 12).", group_name="D6", group_degree=6, group_order=12, data_dir="data/d6_data", ), PermutationGroupsConfig( name="d7_data", description="Dihedral Group D7 (order 14).", group_name="D7", group_degree=7, group_order=14, data_dir="data/d7_data", ), PermutationGroupsConfig( name="d8_data", description="Dihedral Group D8 (order 16).", group_name="D8", group_degree=8, group_order=16, data_dir="data/d8_data", ), PermutationGroupsConfig( name="psl25_data", description="PSL Group PSL25 (order 60).", group_name="PSL25", group_degree=6, group_order=60, data_dir="data/psl25_data", ), PermutationGroupsConfig( name="f20_data", description="Frobenius Group F20 (order 20).", group_name="F20", group_degree=5, group_order=20, data_dir="data/f20_data", ), PermutationGroupsConfig( name="s3_len10", description="Symmetric Group S3 (max_len=10).", group_name="S3", group_degree=3, group_order=6, data_dir="data/s3_data_len10", max_len=10, ), PermutationGroupsConfig( name="s4_len10", description="Symmetric Group S4 (max_len=10).", group_name="S4", group_degree=4, group_order=24, data_dir="data/s4_data_len10", max_len=10, ), PermutationGroupsConfig( name="s5_len10", description="Symmetric Group S5 (max_len=10).", group_name="S5", group_degree=5, group_order=120, data_dir="data/s5_data_len10", max_len=10, ), PermutationGroupsConfig( name="s6_len10", description="Symmetric Group S6 (max_len=10).", group_name="S6", group_degree=6, group_order=720, data_dir="data/s6_data_len10", max_len=10, ), PermutationGroupsConfig( name="s7_len10", description="Symmetric Group S7 (max_len=10).", group_name="S7", group_degree=7, group_order=5040, data_dir="data/s7_data_len10", max_len=10, ), PermutationGroupsConfig( name="a3_len10", description="Alternating Group A3 (max_len=10).", group_name="A3", group_degree=3, group_order=3, data_dir="data/a3_data_len10", max_len=10, ), PermutationGroupsConfig( name="a4_len10", description="Alternating Group A4 (max_len=10).", group_name="A4", group_degree=4, group_order=12, data_dir="data/a4_data_len10", max_len=10, ), PermutationGroupsConfig( name="a5_len10", description="Alternating Group A5 (max_len=10).", group_name="A5", group_degree=5, group_order=60, data_dir="data/a5_data_len10", max_len=10, ), PermutationGroupsConfig( name="a6_len10", description="Alternating Group A6 (max_len=10).", group_name="A6", group_degree=6, group_order=360, data_dir="data/a6_data_len10", max_len=10, ), PermutationGroupsConfig( name="a7_len10", description="Alternating Group A7 (max_len=10).", group_name="A7", group_degree=7, group_order=2520, data_dir="data/a7_data_len10", max_len=10, ), PermutationGroupsConfig( name="c3_len10", description="Cyclic Group C3 (max_len=10).", group_name="C3", group_degree=3, group_order=3, data_dir="data/c3_data_len10", max_len=10, ), PermutationGroupsConfig( name="c4_len10", description="Cyclic Group C4 (max_len=10).", group_name="C4", group_degree=4, group_order=4, data_dir="data/c4_data_len10", max_len=10, ), PermutationGroupsConfig( name="c5_len10", description="Cyclic Group C5 (max_len=10).", group_name="C5", group_degree=5, group_order=5, data_dir="data/c5_data_len10", max_len=10, ), PermutationGroupsConfig( name="c6_len10", description="Cyclic Group C6 (max_len=10).", group_name="C6", group_degree=6, group_order=6, data_dir="data/c6_data_len10", max_len=10, ), PermutationGroupsConfig( name="c7_len10", description="Cyclic Group C7 (max_len=10).", group_name="C7", group_degree=7, group_order=7, data_dir="data/c7_data_len10", max_len=10, ), PermutationGroupsConfig( name="c8_len10", description="Cyclic Group C8 (max_len=10).", group_name="C8", group_degree=8, group_order=8, data_dir="data/c8_data_len10", max_len=10, ), PermutationGroupsConfig( name="c10_len10", description="Cyclic Group C10 (max_len=10).", group_name="C10", group_degree=10, group_order=10, data_dir="data/c10_data_len10", max_len=10, ), PermutationGroupsConfig( name="c12_len10", description="Cyclic Group C12 (max_len=10).", group_name="C12", group_degree=12, group_order=12, data_dir="data/c12_data_len10", max_len=10, ), PermutationGroupsConfig( name="z3_len10", description="Cyclic Group Z3 (max_len=10).", group_name="Z3", group_degree=3, group_order=3, data_dir="data/z3_data_len10", max_len=10, ), PermutationGroupsConfig( name="z4_len10", description="Cyclic Group Z4 (max_len=10).", group_name="Z4", group_degree=4, group_order=4, data_dir="data/z4_data_len10", max_len=10, ), PermutationGroupsConfig( name="z5_len10", description="Cyclic Group Z5 (max_len=10).", group_name="Z5", group_degree=5, group_order=5, data_dir="data/z5_data_len10", max_len=10, ), PermutationGroupsConfig( name="z6_len10", description="Cyclic Group Z6 (max_len=10).", group_name="Z6", group_degree=6, group_order=6, data_dir="data/z6_data_len10", max_len=10, ), PermutationGroupsConfig( name="d3_len10", description="Dihedral Group D3 (max_len=10).", group_name="D3", group_degree=3, group_order=6, data_dir="data/d3_data_len10", max_len=10, ), PermutationGroupsConfig( name="d4_len10", description="Dihedral Group D4 (max_len=10).", group_name="D4", group_degree=4, group_order=8, data_dir="data/d4_data_len10", max_len=10, ), PermutationGroupsConfig( name="d5_len10", description="Dihedral Group D5 (max_len=10).", group_name="D5", group_degree=5, group_order=10, data_dir="data/d5_data_len10", max_len=10, ), PermutationGroupsConfig( name="d6_len10", description="Dihedral Group D6 (max_len=10).", group_name="D6", group_degree=6, group_order=12, data_dir="data/d6_data_len10", max_len=10, ), PermutationGroupsConfig( name="d7_len10", description="Dihedral Group D7 (max_len=10).", group_name="D7", group_degree=7, group_order=14, data_dir="data/d7_data_len10", max_len=10, ), PermutationGroupsConfig( name="d8_len10", description="Dihedral Group D8 (max_len=10).", group_name="D8", group_degree=8, group_order=16, data_dir="data/d8_data_len10", max_len=10, ), PermutationGroupsConfig( name="psl25_len10", description="PSL Group PSL25 (max_len=10).", group_name="PSL25", group_degree=6, group_order=60, data_dir="data/psl25_data_len10", max_len=10, ), PermutationGroupsConfig( name="f20_len10", description="Frobenius Group F20 (max_len=10).", group_name="F20", group_degree=5, group_order=20, data_dir="data/f20_data_len10", max_len=10, ), PermutationGroupsConfig( name="s3_len20", description="Symmetric Group S3 (max_len=20).", group_name="S3", group_degree=3, group_order=6, data_dir="data/s3_data_len20", max_len=20, ), PermutationGroupsConfig( name="s4_len20", description="Symmetric Group S4 (max_len=20).", group_name="S4", group_degree=4, group_order=24, data_dir="data/s4_data_len20", max_len=20, ), PermutationGroupsConfig( name="s5_len20", description="Symmetric Group S5 (max_len=20).", group_name="S5", group_degree=5, group_order=120, data_dir="data/s5_data_len20", max_len=20, ), PermutationGroupsConfig( name="s6_len20", description="Symmetric Group S6 (max_len=20).", group_name="S6", group_degree=6, group_order=720, data_dir="data/s6_data_len20", max_len=20, ), PermutationGroupsConfig( name="s7_len20", description="Symmetric Group S7 (max_len=20).", group_name="S7", group_degree=7, group_order=5040, data_dir="data/s7_data_len20", max_len=20, ), PermutationGroupsConfig( name="a3_len20", description="Alternating Group A3 (max_len=20).", group_name="A3", group_degree=3, group_order=3, data_dir="data/a3_data_len20", max_len=20, ), PermutationGroupsConfig( name="a4_len20", description="Alternating Group A4 (max_len=20).", group_name="A4", group_degree=4, group_order=12, data_dir="data/a4_data_len20", max_len=20, ), PermutationGroupsConfig( name="a5_len20", description="Alternating Group A5 (max_len=20).", group_name="A5", group_degree=5, group_order=60, data_dir="data/a5_data_len20", max_len=20, ), PermutationGroupsConfig( name="a6_len20", description="Alternating Group A6 (max_len=20).", group_name="A6", group_degree=6, group_order=360, data_dir="data/a6_data_len20", max_len=20, ), PermutationGroupsConfig( name="a7_len20", description="Alternating Group A7 (max_len=20).", group_name="A7", group_degree=7, group_order=2520, data_dir="data/a7_data_len20", max_len=20, ), PermutationGroupsConfig( name="c3_len20", description="Cyclic Group C3 (max_len=20).", group_name="C3", group_degree=3, group_order=3, data_dir="data/c3_data_len20", max_len=20, ), PermutationGroupsConfig( name="c4_len20", description="Cyclic Group C4 (max_len=20).", group_name="C4", group_degree=4, group_order=4, data_dir="data/c4_data_len20", max_len=20, ), PermutationGroupsConfig( name="c5_len20", description="Cyclic Group C5 (max_len=20).", group_name="C5", group_degree=5, group_order=5, data_dir="data/c5_data_len20", max_len=20, ), PermutationGroupsConfig( name="c6_len20", description="Cyclic Group C6 (max_len=20).", group_name="C6", group_degree=6, group_order=6, data_dir="data/c6_data_len20", max_len=20, ), PermutationGroupsConfig( name="c7_len20", description="Cyclic Group C7 (max_len=20).", group_name="C7", group_degree=7, group_order=7, data_dir="data/c7_data_len20", max_len=20, ), PermutationGroupsConfig( name="c8_len20", description="Cyclic Group C8 (max_len=20).", group_name="C8", group_degree=8, group_order=8, data_dir="data/c8_data_len20", max_len=20, ), PermutationGroupsConfig( name="c10_len20", description="Cyclic Group C10 (max_len=20).", group_name="C10", group_degree=10, group_order=10, data_dir="data/c10_data_len20", max_len=20, ), PermutationGroupsConfig( name="c12_len20", description="Cyclic Group C12 (max_len=20).", group_name="C12", group_degree=12, group_order=12, data_dir="data/c12_data_len20", max_len=20, ), PermutationGroupsConfig( name="z3_len20", description="Cyclic Group Z3 (max_len=20).", group_name="Z3", group_degree=3, group_order=3, data_dir="data/z3_data_len20", max_len=20, ), PermutationGroupsConfig( name="z4_len20", description="Cyclic Group Z4 (max_len=20).", group_name="Z4", group_degree=4, group_order=4, data_dir="data/z4_data_len20", max_len=20, ), PermutationGroupsConfig( name="z5_len20", description="Cyclic Group Z5 (max_len=20).", group_name="Z5", group_degree=5, group_order=5, data_dir="data/z5_data_len20", max_len=20, ), PermutationGroupsConfig( name="z6_len20", description="Cyclic Group Z6 (max_len=20).", group_name="Z6", group_degree=6, group_order=6, data_dir="data/z6_data_len20", max_len=20, ), PermutationGroupsConfig( name="d3_len20", description="Dihedral Group D3 (max_len=20).", group_name="D3", group_degree=3, group_order=6, data_dir="data/d3_data_len20", max_len=20, ), PermutationGroupsConfig( name="d4_len20", description="Dihedral Group D4 (max_len=20).", group_name="D4", group_degree=4, group_order=8, data_dir="data/d4_data_len20", max_len=20, ), PermutationGroupsConfig( name="d5_len20", description="Dihedral Group D5 (max_len=20).", group_name="D5", group_degree=5, group_order=10, data_dir="data/d5_data_len20", max_len=20, ), PermutationGroupsConfig( name="d6_len20", description="Dihedral Group D6 (max_len=20).", group_name="D6", group_degree=6, group_order=12, data_dir="data/d6_data_len20", max_len=20, ), PermutationGroupsConfig( name="d7_len20", description="Dihedral Group D7 (max_len=20).", group_name="D7", group_degree=7, group_order=14, data_dir="data/d7_data_len20", max_len=20, ), PermutationGroupsConfig( name="d8_len20", description="Dihedral Group D8 (max_len=20).", group_name="D8", group_degree=8, group_order=16, data_dir="data/d8_data_len20", max_len=20, ), PermutationGroupsConfig( name="psl25_len20", description="PSL Group PSL25 (max_len=20).", group_name="PSL25", group_degree=6, group_order=60, data_dir="data/psl25_data_len20", max_len=20, ), PermutationGroupsConfig( name="f20_len20", description="Frobenius Group F20 (max_len=20).", group_name="F20", group_degree=5, group_order=20, data_dir="data/f20_data_len20", max_len=20, ), PermutationGroupsConfig( name="s3_len30", description="Symmetric Group S3 (max_len=30).", group_name="S3", group_degree=3, group_order=6, data_dir="data/s3_data_len30", max_len=30, ), PermutationGroupsConfig( name="s4_len30", description="Symmetric Group S4 (max_len=30).", group_name="S4", group_degree=4, group_order=24, data_dir="data/s4_data_len30", max_len=30, ), PermutationGroupsConfig( name="s5_len30", description="Symmetric Group S5 (max_len=30).", group_name="S5", group_degree=5, group_order=120, data_dir="data/s5_data_len30", max_len=30, ), PermutationGroupsConfig( name="s6_len30", description="Symmetric Group S6 (max_len=30).", group_name="S6", group_degree=6, group_order=720, data_dir="data/s6_data_len30", max_len=30, ), PermutationGroupsConfig( name="s7_len30", description="Symmetric Group S7 (max_len=30).", group_name="S7", group_degree=7, group_order=5040, data_dir="data/s7_data_len30", max_len=30, ), PermutationGroupsConfig( name="a3_len30", description="Alternating Group A3 (max_len=30).", group_name="A3", group_degree=3, group_order=3, data_dir="data/a3_data_len30", max_len=30, ), PermutationGroupsConfig( name="a4_len30", description="Alternating Group A4 (max_len=30).", group_name="A4", group_degree=4, group_order=12, data_dir="data/a4_data_len30", max_len=30, ), PermutationGroupsConfig( name="a5_len30", description="Alternating Group A5 (max_len=30).", group_name="A5", group_degree=5, group_order=60, data_dir="data/a5_data_len30", max_len=30, ), PermutationGroupsConfig( name="a6_len30", description="Alternating Group A6 (max_len=30).", group_name="A6", group_degree=6, group_order=360, data_dir="data/a6_data_len30", max_len=30, ), PermutationGroupsConfig( name="a7_len30", description="Alternating Group A7 (max_len=30).", group_name="A7", group_degree=7, group_order=2520, data_dir="data/a7_data_len30", max_len=30, ), PermutationGroupsConfig( name="c3_len30", description="Cyclic Group C3 (max_len=30).", group_name="C3", group_degree=3, group_order=3, data_dir="data/c3_data_len30", max_len=30, ), PermutationGroupsConfig( name="c4_len30", description="Cyclic Group C4 (max_len=30).", group_name="C4", group_degree=4, group_order=4, data_dir="data/c4_data_len30", max_len=30, ), PermutationGroupsConfig( name="c5_len30", description="Cyclic Group C5 (max_len=30).", group_name="C5", group_degree=5, group_order=5, data_dir="data/c5_data_len30", max_len=30, ), PermutationGroupsConfig( name="c6_len30", description="Cyclic Group C6 (max_len=30).", group_name="C6", group_degree=6, group_order=6, data_dir="data/c6_data_len30", max_len=30, ), PermutationGroupsConfig( name="c7_len30", description="Cyclic Group C7 (max_len=30).", group_name="C7", group_degree=7, group_order=7, data_dir="data/c7_data_len30", max_len=30, ), PermutationGroupsConfig( name="c8_len30", description="Cyclic Group C8 (max_len=30).", group_name="C8", group_degree=8, group_order=8, data_dir="data/c8_data_len30", max_len=30, ), PermutationGroupsConfig( name="c10_len30", description="Cyclic Group C10 (max_len=30).", group_name="C10", group_degree=10, group_order=10, data_dir="data/c10_data_len30", max_len=30, ), PermutationGroupsConfig( name="c12_len30", description="Cyclic Group C12 (max_len=30).", group_name="C12", group_degree=12, group_order=12, data_dir="data/c12_data_len30", max_len=30, ), PermutationGroupsConfig( name="z3_len30", description="Cyclic Group Z3 (max_len=30).", group_name="Z3", group_degree=3, group_order=3, data_dir="data/z3_data_len30", max_len=30, ), PermutationGroupsConfig( name="z4_len30", description="Cyclic Group Z4 (max_len=30).", group_name="Z4", group_degree=4, group_order=4, data_dir="data/z4_data_len30", max_len=30, ), PermutationGroupsConfig( name="z5_len30", description="Cyclic Group Z5 (max_len=30).", group_name="Z5", group_degree=5, group_order=5, data_dir="data/z5_data_len30", max_len=30, ), PermutationGroupsConfig( name="z6_len30", description="Cyclic Group Z6 (max_len=30).", group_name="Z6", group_degree=6, group_order=6, data_dir="data/z6_data_len30", max_len=30, ), PermutationGroupsConfig( name="d3_len30", description="Dihedral Group D3 (max_len=30).", group_name="D3", group_degree=3, group_order=6, data_dir="data/d3_data_len30", max_len=30, ), PermutationGroupsConfig( name="d4_len30", description="Dihedral Group D4 (max_len=30).", group_name="D4", group_degree=4, group_order=8, data_dir="data/d4_data_len30", max_len=30, ), PermutationGroupsConfig( name="d5_len30", description="Dihedral Group D5 (max_len=30).", group_name="D5", group_degree=5, group_order=10, data_dir="data/d5_data_len30", max_len=30, ), PermutationGroupsConfig( name="d6_len30", description="Dihedral Group D6 (max_len=30).", group_name="D6", group_degree=6, group_order=12, data_dir="data/d6_data_len30", max_len=30, ), PermutationGroupsConfig( name="d7_len30", description="Dihedral Group D7 (max_len=30).", group_name="D7", group_degree=7, group_order=14, data_dir="data/d7_data_len30", max_len=30, ), PermutationGroupsConfig( name="d8_len30", description="Dihedral Group D8 (max_len=30).", group_name="D8", group_degree=8, group_order=16, data_dir="data/d8_data_len30", max_len=30, ), PermutationGroupsConfig( name="psl25_len30", description="PSL Group PSL25 (max_len=30).", group_name="PSL25", group_degree=6, group_order=60, data_dir="data/psl25_data_len30", max_len=30, ), PermutationGroupsConfig( name="f20_len30", description="Frobenius Group F20 (max_len=30).", group_name="F20", group_degree=5, group_order=20, data_dir="data/f20_data_len30", max_len=30, ), PermutationGroupsConfig( name="s3_len100", description="Symmetric Group S3 (max_len=100).", group_name="S3", group_degree=3, group_order=6, data_dir="data/s3_data_len100", max_len=100, ), PermutationGroupsConfig( name="s4_len100", description="Symmetric Group S4 (max_len=100).", group_name="S4", group_degree=4, group_order=24, data_dir="data/s4_data_len100", max_len=100, ), PermutationGroupsConfig( name="s5_len100", description="Symmetric Group S5 (max_len=100).", group_name="S5", group_degree=5, group_order=120, data_dir="data/s5_data_len100", max_len=100, ), PermutationGroupsConfig( name="s6_len100", description="Symmetric Group S6 (max_len=100).", group_name="S6", group_degree=6, group_order=720, data_dir="data/s6_data_len100", max_len=100, ), PermutationGroupsConfig( name="s7_len100", description="Symmetric Group S7 (max_len=100).", group_name="S7", group_degree=7, group_order=5040, data_dir="data/s7_data_len100", max_len=100, ), PermutationGroupsConfig( name="a3_len100", description="Alternating Group A3 (max_len=100).", group_name="A3", group_degree=3, group_order=3, data_dir="data/a3_data_len100", max_len=100, ), PermutationGroupsConfig( name="a4_len100", description="Alternating Group A4 (max_len=100).", group_name="A4", group_degree=4, group_order=12, data_dir="data/a4_data_len100", max_len=100, ), PermutationGroupsConfig( name="a5_len100", description="Alternating Group A5 (max_len=100).", group_name="A5", group_degree=5, group_order=60, data_dir="data/a5_data_len100", max_len=100, ), PermutationGroupsConfig( name="a6_len100", description="Alternating Group A6 (max_len=100).", group_name="A6", group_degree=6, group_order=360, data_dir="data/a6_data_len100", max_len=100, ), PermutationGroupsConfig( name="a7_len100", description="Alternating Group A7 (max_len=100).", group_name="A7", group_degree=7, group_order=2520, data_dir="data/a7_data_len100", max_len=100, ), PermutationGroupsConfig( name="c3_len100", description="Cyclic Group C3 (max_len=100).", group_name="C3", group_degree=3, group_order=3, data_dir="data/c3_data_len100", max_len=100, ), PermutationGroupsConfig( name="c4_len100", description="Cyclic Group C4 (max_len=100).", group_name="C4", group_degree=4, group_order=4, data_dir="data/c4_data_len100", max_len=100, ), PermutationGroupsConfig( name="c5_len100", description="Cyclic Group C5 (max_len=100).", group_name="C5", group_degree=5, group_order=5, data_dir="data/c5_data_len100", max_len=100, ), PermutationGroupsConfig( name="c6_len100", description="Cyclic Group C6 (max_len=100).", group_name="C6", group_degree=6, group_order=6, data_dir="data/c6_data_len100", max_len=100, ), PermutationGroupsConfig( name="c7_len100", description="Cyclic Group C7 (max_len=100).", group_name="C7", group_degree=7, group_order=7, data_dir="data/c7_data_len100", max_len=100, ), PermutationGroupsConfig( name="c8_len100", description="Cyclic Group C8 (max_len=100).", group_name="C8", group_degree=8, group_order=8, data_dir="data/c8_data_len100", max_len=100, ), PermutationGroupsConfig( name="c10_len100", description="Cyclic Group C10 (max_len=100).", group_name="C10", group_degree=10, group_order=10, data_dir="data/c10_data_len100", max_len=100, ), PermutationGroupsConfig( name="c12_len100", description="Cyclic Group C12 (max_len=100).", group_name="C12", group_degree=12, group_order=12, data_dir="data/c12_data_len100", max_len=100, ), PermutationGroupsConfig( name="z3_len100", description="Cyclic Group Z3 (max_len=100).", group_name="Z3", group_degree=3, group_order=3, data_dir="data/z3_data_len100", max_len=100, ), PermutationGroupsConfig( name="z4_len100", description="Cyclic Group Z4 (max_len=100).", group_name="Z4", group_degree=4, group_order=4, data_dir="data/z4_data_len100", max_len=100, ), PermutationGroupsConfig( name="z5_len100", description="Cyclic Group Z5 (max_len=100).", group_name="Z5", group_degree=5, group_order=5, data_dir="data/z5_data_len100", max_len=100, ), PermutationGroupsConfig( name="z6_len100", description="Cyclic Group Z6 (max_len=100).", group_name="Z6", group_degree=6, group_order=6, data_dir="data/z6_data_len100", max_len=100, ), PermutationGroupsConfig( name="d3_len100", description="Dihedral Group D3 (max_len=100).", group_name="D3", group_degree=3, group_order=6, data_dir="data/d3_data_len100", max_len=100, ), PermutationGroupsConfig( name="d4_len100", description="Dihedral Group D4 (max_len=100).", group_name="D4", group_degree=4, group_order=8, data_dir="data/d4_data_len100", max_len=100, ), PermutationGroupsConfig( name="d5_len100", description="Dihedral Group D5 (max_len=100).", group_name="D5", group_degree=5, group_order=10, data_dir="data/d5_data_len100", max_len=100, ), PermutationGroupsConfig( name="d6_len100", description="Dihedral Group D6 (max_len=100).", group_name="D6", group_degree=6, group_order=12, data_dir="data/d6_data_len100", max_len=100, ), PermutationGroupsConfig( name="d7_len100", description="Dihedral Group D7 (max_len=100).", group_name="D7", group_degree=7, group_order=14, data_dir="data/d7_data_len100", max_len=100, ), PermutationGroupsConfig( name="d8_len100", description="Dihedral Group D8 (max_len=100).", group_name="D8", group_degree=8, group_order=16, data_dir="data/d8_data_len100", max_len=100, ), PermutationGroupsConfig( name="psl25_len100", description="PSL Group PSL25 (max_len=100).", group_name="PSL25", group_degree=6, group_order=60, data_dir="data/psl25_data_len100", max_len=100, ), PermutationGroupsConfig( name="f20_len100", description="Frobenius Group F20 (max_len=100).", group_name="F20", group_degree=5, group_order=20, data_dir="data/f20_data_len100", max_len=100, ), PermutationGroupsConfig( name="s3_len512", description="Symmetric Group S3 (max_len=512).", group_name="S3", group_degree=3, group_order=6, data_dir="data/s3_data_len512", max_len=512, ), PermutationGroupsConfig( name="s4_len512", description="Symmetric Group S4 (max_len=512).", group_name="S4", group_degree=4, group_order=24, data_dir="data/s4_data_len512", max_len=512, ), PermutationGroupsConfig( name="s5_len512", description="Symmetric Group S5 (max_len=512).", group_name="S5", group_degree=5, group_order=120, data_dir="data/s5_data_len512", max_len=512, ), PermutationGroupsConfig( name="s6_len512", description="Symmetric Group S6 (max_len=512).", group_name="S6", group_degree=6, group_order=720, data_dir="data/s6_data_len512", max_len=512, ), PermutationGroupsConfig( name="s7_len512", description="Symmetric Group S7 (max_len=512).", group_name="S7", group_degree=7, group_order=5040, data_dir="data/s7_data_len512", max_len=512, ), PermutationGroupsConfig( name="a3_len512", description="Alternating Group A3 (max_len=512).", group_name="A3", group_degree=3, group_order=3, data_dir="data/a3_data_len512", max_len=512, ), PermutationGroupsConfig( name="a4_len512", description="Alternating Group A4 (max_len=512).", group_name="A4", group_degree=4, group_order=12, data_dir="data/a4_data_len512", max_len=512, ), PermutationGroupsConfig( name="a5_len512", description="Alternating Group A5 (max_len=512).", group_name="A5", group_degree=5, group_order=60, data_dir="data/a5_data_len512", max_len=512, ), PermutationGroupsConfig( name="a6_len512", description="Alternating Group A6 (max_len=512).", group_name="A6", group_degree=6, group_order=360, data_dir="data/a6_data_len512", max_len=512, ), PermutationGroupsConfig( name="a7_len512", description="Alternating Group A7 (max_len=512).", group_name="A7", group_degree=7, group_order=2520, data_dir="data/a7_data_len512", max_len=512, ), PermutationGroupsConfig( name="c3_len512", description="Cyclic Group C3 (max_len=512).", group_name="C3", group_degree=3, group_order=3, data_dir="data/c3_data_len512", max_len=512, ), PermutationGroupsConfig( name="c4_len512", description="Cyclic Group C4 (max_len=512).", group_name="C4", group_degree=4, group_order=4, data_dir="data/c4_data_len512", max_len=512, ), PermutationGroupsConfig( name="c5_len512", description="Cyclic Group C5 (max_len=512).", group_name="C5", group_degree=5, group_order=5, data_dir="data/c5_data_len512", max_len=512, ), PermutationGroupsConfig( name="c6_len512", description="Cyclic Group C6 (max_len=512).", group_name="C6", group_degree=6, group_order=6, data_dir="data/c6_data_len512", max_len=512, ), PermutationGroupsConfig( name="c7_len512", description="Cyclic Group C7 (max_len=512).", group_name="C7", group_degree=7, group_order=7, data_dir="data/c7_data_len512", max_len=512, ), PermutationGroupsConfig( name="c8_len512", description="Cyclic Group C8 (max_len=512).", group_name="C8", group_degree=8, group_order=8, data_dir="data/c8_data_len512", max_len=512, ), PermutationGroupsConfig( name="c10_len512", description="Cyclic Group C10 (max_len=512).", group_name="C10", group_degree=10, group_order=10, data_dir="data/c10_data_len512", max_len=512, ), PermutationGroupsConfig( name="c12_len512", description="Cyclic Group C12 (max_len=512).", group_name="C12", group_degree=12, group_order=12, data_dir="data/c12_data_len512", max_len=512, ), PermutationGroupsConfig( name="z3_len512", description="Cyclic Group Z3 (max_len=512).", group_name="Z3", group_degree=3, group_order=3, data_dir="data/z3_data_len512", max_len=512, ), PermutationGroupsConfig( name="z4_len512", description="Cyclic Group Z4 (max_len=512).", group_name="Z4", group_degree=4, group_order=4, data_dir="data/z4_data_len512", max_len=512, ), PermutationGroupsConfig( name="z5_len512", description="Cyclic Group Z5 (max_len=512).", group_name="Z5", group_degree=5, group_order=5, data_dir="data/z5_data_len512", max_len=512, ), PermutationGroupsConfig( name="z6_len512", description="Cyclic Group Z6 (max_len=512).", group_name="Z6", group_degree=6, group_order=6, data_dir="data/z6_data_len512", max_len=512, ), PermutationGroupsConfig( name="d3_len512", description="Dihedral Group D3 (max_len=512).", group_name="D3", group_degree=3, group_order=6, data_dir="data/d3_data_len512", max_len=512, ), PermutationGroupsConfig( name="d4_len512", description="Dihedral Group D4 (max_len=512).", group_name="D4", group_degree=4, group_order=8, data_dir="data/d4_data_len512", max_len=512, ), PermutationGroupsConfig( name="d5_len512", description="Dihedral Group D5 (max_len=512).", group_name="D5", group_degree=5, group_order=10, data_dir="data/d5_data_len512", max_len=512, ), PermutationGroupsConfig( name="d6_len512", description="Dihedral Group D6 (max_len=512).", group_name="D6", group_degree=6, group_order=12, data_dir="data/d6_data_len512", max_len=512, ), PermutationGroupsConfig( name="d7_len512", description="Dihedral Group D7 (max_len=512).", group_name="D7", group_degree=7, group_order=14, data_dir="data/d7_data_len512", max_len=512, ), PermutationGroupsConfig( name="d8_len512", description="Dihedral Group D8 (max_len=512).", group_name="D8", group_degree=8, group_order=16, data_dir="data/d8_data_len512", max_len=512, ), PermutationGroupsConfig( name="psl25_len512", description="PSL Group PSL25 (max_len=512).", group_name="PSL25", group_degree=6, group_order=60, data_dir="data/psl25_data_len512", max_len=512, ), PermutationGroupsConfig( name="f20_len512", description="Frobenius Group F20 (max_len=512).", group_name="F20", group_degree=5, group_order=20, data_dir="data/f20_data_len512", max_len=512, ), PermutationGroupsConfig( name="all", description="All Permutation Composition Datasets.", group_name="All", group_degree=None, group_order=None, data_dir=None, ), PermutationGroupsConfig( name="all_len10", description="All Groups (max_len=10).", group_name="All", group_degree=None, group_order=None, data_dir=None, max_len=10, ), PermutationGroupsConfig( name="all_len20", description="All Groups (max_len=20).", group_name="All", group_degree=None, group_order=None, data_dir=None, max_len=20, ), PermutationGroupsConfig( name="all_len30", description="All Groups (max_len=30).", group_name="All", group_degree=None, group_order=None, data_dir=None, max_len=30, ), PermutationGroupsConfig( name="all_len100", description="All Groups (max_len=100).", group_name="All", group_degree=None, group_order=None, data_dir=None, max_len=100, ), PermutationGroupsConfig( name="all_len512", description="All Groups (max_len=512).", group_name="All", group_degree=None, group_order=None, data_dir=None, max_len=512, ), ] DEFAULT_CONFIG_NAME = "s5_data" def _info(self): return datasets.DatasetInfo( description=_DESCRIPTION, features=datasets.Features({ "input_sequence": datasets.Value("string"), "target": datasets.Value("string"), }), homepage=_HOMEPAGE, license=_LICENSE, ) def _split_generators(self, dl_manager): # Handle the "all" configurations if self.config.name.startswith("all"): # Determine which groups to include if self.config.name == "all": # Original all - just the base configs all_configs = [f"{g.lower()}_data" for g in ['S3', 'S4', 'S5', 'S6', 'S7', 'A3', 'A4', 'A5', 'A6', 'A7', 'C3', 'C4', 'C5', 'C6', 'C7', 'C8', 'C10', 'C12', 'Z3', 'Z4', 'Z5', 'Z6', 'D3', 'D4', 'D5', 'D6', 'D7', 'D8', 'PSL25', 'F20']] else: # Length-specific all length = self.config.max_len all_configs = [f"{g.lower()}_len{length}" for g in ['S3', 'S4', 'S5', 'S6', 'S7', 'A3', 'A4', 'A5', 'A6', 'A7', 'C3', 'C4', 'C5', 'C6', 'C7', 'C8', 'C10', 'C12', 'Z3', 'Z4', 'Z5', 'Z6', 'D3', 'D4', 'D5', 'D6', 'D7', 'D8', 'PSL25', 'F20']] # Download all arrow files train_files = [] test_files = [] for config in all_configs: data_urls = { "train": f"data/{config}/train/data-00000-of-00001.arrow", "test": f"data/{config}/test/data-00000-of-00001.arrow", } try: downloaded = dl_manager.download(data_urls) train_files.append(downloaded["train"]) test_files.append(downloaded["test"]) except: # Skip if dataset doesn't exist pass return [ datasets.SplitGenerator( name=datasets.Split.TRAIN, gen_kwargs={ "files": train_files, }, ), datasets.SplitGenerator( name=datasets.Split.TEST, gen_kwargs={ "files": test_files, }, ), ] else: # Single configuration data_urls = { "train": [f"{self.config.data_dir}/train/data-00000-of-00001.arrow"], "test": [f"{self.config.data_dir}/test/data-00000-of-00001.arrow"], } downloaded_files = dl_manager.download(data_urls) return [ datasets.SplitGenerator( name=datasets.Split.TRAIN, gen_kwargs={ "files": downloaded_files["train"], }, ), datasets.SplitGenerator( name=datasets.Split.TEST, gen_kwargs={ "files": downloaded_files["test"], }, ), ] def _generate_tables(self, files): """Yield arrow tables directly for better performance.""" for file_idx, file in enumerate(files): # Load the dataset using the datasets library format dataset = datasets.Dataset.from_file(file) # Get the underlying Arrow table table = dataset.data.table yield file_idx, table