lib.rs

1#![doc = include_str!("../README.md")]2#![deny(missing_docs)]34/// The Apollonian gasket: a packing grown from its root quadruple in exact integers, the Ford circles it rests on the line, and the Farey stack they shadow.5pub mod apollonian;6/// The matrix ladder: the Dirichlet series of a memory design continued through its transfer matrix, its determinant cofactor and the residues on its pole combs.7pub mod automaton;8/// The sequence blender: term ops, exact recurrences and growth rates.9pub mod blend;10/// The boolean-function measures: Walsh spectra, nonlinearity, balance and avalanche.11pub mod boolean;12/// The grid tallies: value counts and exposed faces.13pub mod census;14/// The classic sequences and the exact arithmetic under them.15pub mod classics;16/// The digit designs on the integer line: their elements, their Mobius meter, its density echo and the ordinates its spectrum carries.17pub mod design;18/// The divisor arithmetic: factorizations, divisors, radicals and the Mobius values.19pub mod factor;20/// The fast Fourier transform in one and two dimensions.21pub mod fft;22/// The elementary formulas: the partial products and sums that walk to pi, e and gamma, and the prime counts beside them.23pub mod formulas;24/// The primes of the plane: the Gaussian and the Eisenstein integers, their classes, windows and ring weights.25pub mod gauss;26/// The spatial network: its nodes, branches, extraction and census.27pub mod graph;28/// The peeled ladder: the Dirichlet series of a digit design continued to the whole plane, its Lyndon cofactor and the residues at its poles, each value carrying its bound.29pub mod ladder;30/// The visible lattice: totients, coprime pairs, the constant a dimension recovers and the Farey nodes.31pub mod lattice;32/// The memory designs: a rule on `k` consecutive digits, its transfer matrix, the words it accepts and the Perron root that is their dimension.33pub mod memory;34/// The Thue-Morse world: the digit rule, the substitution, the plane lifts, the runs and the period-doubling word.35pub mod morse;36/// The prime objects: values, ranks, gaps and the shape readings of a number.37pub mod prime;38/// The radix designs: a digit set inside the residues of a base in a ring, a unit twist per digit, and the points their words land on.39pub mod radix;40/// The infinite sums: zeta and its Dirichlet cousins, the visible count and the Bernoulli fractions.41pub mod series;42/// The punctured schedules: the Wallis sieve and its kin, their words, rasters, punctures and limits.43pub mod sieve;44/// The symmetric eigensolver and the Laplacian spectra it reads off a network.45pub mod spectrum;46/// The turntable: the exact circle means of a raster about its centre, the profile they trace and the wheel it paints.47pub mod spin;48/// The spirals: the whole numbers wound on the square and the hexagonal lattice, marked and read along a quadratic.49pub mod spiral;50/// The spirograph: a byte grid as a wheel with a pencil in every cell, rolled on a line, a circle or a polygon, and the curves it draws.51pub mod spirograph;52/// The tourbillon: the odd parity carpets turned one angle a layer and stacked inside the inscribed disc.53pub mod tourbillon;54/// The critical line: zeta at one half plus i t, its zeros, and the prime staircase they rebuild.55pub mod zeta;