sankhya

sankhya (Sanskrit: सांख्य — enumeration/analysis) is an ancient mathematical systems library for the AGNOS project.

Faithful implementations of computational traditions from seven civilizations, plus cross-civilizational epoch correlation.

Modules

Module	Civilization	Era	Highlights
`mayan`	Maya	2000 BCE+	Vigesimal (base-20), Long Count calendar, Tzolkin, Haab, Venus tables, Calendar Round search
`babylonian`	Babylon	2000–300 BCE	Sexagesimal (base-60), Saros cycle, Plimpton 322 triples, Heron's sqrt, lunar calendar, cuneiform display
`egyptian`	Egypt	2000–1000 BCE	Unit fractions (Rhind Papyrus), doubling multiplication, stellar decans, Sothic cycle, hieroglyphic display
`vedic`	India	800 BCE+	Nikhilam multiplication, Sulba Sutra geometry, Katapayadi, Meru Prastara, Devanagari display
`chinese`	China	500 BCE+	Rod numerals, Chinese Remainder Theorem (Sun Tzu), magic squares, Unicode rod display
`greek`	Greece	600 BCE–300 CE	Golden ratio, Sieve of Eratosthenes, Euclidean GCD, Archimedes' pi, Antikythera, isopsephy
`roman`	Rome	500 BCE+	Roman numeral conversion (I–MMMCMXCIX), canonical validation, arithmetic
`islamic`	Islamic Golden Age	750–1258 CE	Al-Khwarizmi algebra, Khayyam cubics, completion of the square, Hijri calendar
`epoch`	Cross-civilizational	—	Precession (25,920-year Great Year), precessional ages, Seven Sages traditions, cycle alignment, multi-calendar correlation

Quick Start

use sankhya::mayan::LongCount;
use sankhya::babylonian;
use sankhya::greek;
use sankhya::roman;

// Convert days to Mayan Long Count
let lc = LongCount::from_days(1_872_000).unwrap(); // 13.0.0.0.0 (Dec 21, 2012)
assert_eq!(lc.baktun, 13);

// Babylonian square root (Heron's method, from YBC 7289 tablet)
let sqrt2 = babylonian::babylonian_sqrt(2.0, 10).unwrap();
assert!((sqrt2 - std::f64::consts::SQRT_2).abs() < 1e-15);

// Sieve of Eratosthenes
let primes = greek::sieve(100);
assert_eq!(primes.len(), 25);

// Roman numerals
assert_eq!(roman::to_roman_str(1776).unwrap(), "MDCCLXXVI");
assert_eq!(roman::from_roman("MCMXCIX").unwrap(), 1999);

Features

Feature	Default	Description
`varna`	off	Script rendering: cuneiform, hieroglyphic, Devanagari, Greek alphabetic, CJK rod numerals
`logging`	off	Structured tracing via `tracing-subscriber`

Building

cargo build
cargo test --all-features
make check   # fmt + clippy + test + audit
make bench   # criterion benchmarks with history tracking

Requirements

Rust 1.89+ (MSRV)
Dependencies: hisab, serde, thiserror, tracing
Optional: varna (script rendering)

License

GPL-3.0-only. See LICENSE.