Crate sim_lib_discrete_comb 

Discrete combinatorics.

This crate hosts exact counting functions (over num_bigint::BigUint), lazy enumerators, and canonical combinadic / Lehmer / mixed-radix rank-unrank helpers. These ordinals are the bridge to rank, but this crate never depends on sim-lib-rank.

Re-exports

pub use bit_vector::BitVectorIter;

pub use bit_vector::bit_vector_rank;

pub use bit_vector::bit_vector_unrank;

pub use bit_vector::bit_vectors;

pub use cards::CardSpec;

pub use cards::combinatorics_cards;

pub use combination::CombinationIter;

pub use combination::combination_rank;

pub use combination::combination_unrank;

pub use combination::combinations;

pub use count::MAX_BINOMIAL_INPUT;

pub use count::MAX_FACTORIAL_INPUT;

pub use count::MAX_PARTITION_INPUT;

pub use count::bell_number;

pub use count::binomial;

pub use count::binomial_checked;

pub use count::factorial;

pub use count::factorial_checked;

pub use count::falling_factorial;

pub use count::integer_partition_count;

pub use count::integer_partition_count_checked;

pub use count::multinomial;

pub use count::permutation_count;

pub use count::stirling2;

pub use error::CombError;

pub use mixed_radix::mixed_radix_rank;

pub use mixed_radix::mixed_radix_unrank;

pub use partition::IntegerPartitionIter;

pub use partition::integer_partitions;

pub use permutation::PermutationIter;

pub use permutation::permutation_rank;

pub use permutation::permutation_unrank;

pub use permutation::permutations;

pub use subset::SubsetIter;

pub use subset::subset_rank;

pub use subset::subset_unrank;

pub use subset::subsets;

Modules

bit_vector

Fixed-width bit vectors in natural binary order, with rank/unrank.

cards

Browse/help card content for the combinatorics family, as static data.

combination

k-combinations of {0, ..., n-1} in lexicographic order, with rank/unrank.

count

Exact combinatorial counting functions over num_bigint::BigUint.

error

Error type for discrete combinatorics.

mixed_radix

Bounded integer vectors under a mixed-radix numeral system, with rank/unrank.

partition

Integer partitions of n in ascending-composition order (Kelleher’s accel_asc). The iterator is genuinely lazy, so large n is safe to start.

permutation

Permutations of {0, ..., n-1} in lexicographic order, with Lehmer-code rank/unrank.

subset

Subsets of {0, ..., n-1} in bitmask order, with rank/unrank.

Statics

RECIPES

Cookbook recipes for this lib, embedded at build time.