Technical Reference

Fa

Contract addressNot applicable to type definitions

Hash-verified 0x66d1f7bc…91cf85

Source details

Property	Value
Keccak256 Hash	`0x66d1f7bcc4941ed09f9df1e7a97eeeeed584fe327a420d258dbb2e258c91cf85`
Source URL	https://raw.githubusercontent.com/busytoby/atropa_pulsechain/58607494f7741b80525953e4a85bc99e66fd20fc/solidity/dysnomia/include/fa.sol
Source Revision	`58607494f7741b80525953e4a85bc99e66fd20fc`
Source Status	Canonical source snapshot; deployed bytecode equivalence is only established where a deployment record says so.
Compiler	solc 0.8.21; optimizer enabled with 200 runs
Compiler Configuration	`{"evmVersion":"compiler-default","optimizer":{"enabled":true,"runs":200},"version":"0.8.21+commit.d9974bed.Linux.g++"}`
Compilation Closure Hash	`0x1aa46e19e674b902324d832c1543fe4b4889152837b21ca21ac2815ae7b1ddc4`
Compilation Closure Files	1
Hash Generated	2026-09-14T19:34:18Z

Overview

Fa is the core state container for SHA tokens. It holds cryptographic values used in modular exponentiation operations and pairing protocols.

Kind: Type Definitions Module
License: Sharia
Solidity: ^0.8.21
Source: include/fa.sol

What This Means For Players

Plain English Summary: Fa is the internal state of your cryptographic keys. Each SHA token has a Fa structure that stores all the secret and public values used for cryptographic operations. It’s like the internal circuitry of a lock.

Real-World Analogy: Think of Fa like the pins inside a door lock. Each pin (field) has a specific height (value), and when the right key is inserted, all the pins align correctly. The Fa stores all these “pin heights” that make your SHA token unique.

How It Affects Your Gameplay:

Behind the scenes - Players don’t interact with Fa directly
Identity foundation - These values ultimately determine your unique cryptographic identity
Reaction fuel - Values like Charge, Chin, and Monopole are used in reaction calculations

Definition

struct Fa {
    uint64 Base;        // Base value for exponentiation
    uint64 Secret;      // Secret exponent
    uint64 Signal;      // Signal value
    uint64 Channel;     // Computed channel (Base^Signal mod MotzkinPrime)
    uint64 Contour;     // Contour from Avail operation
    uint64 Pole;        // Polarization value
    uint64 Identity;    // Identity parameter
    uint64 Foundation;  // Foundation from Conify
    uint64 Element;     // Element for reactions
    uint64 Coordinate;  // Conjugate coordinate
    uint64 Charge;      // Computed charge
    uint64 Chin;        // Chin value for reactions
    uint64 Monopole;    // Monopole state
}

Field Descriptions

Field	Purpose	Set By
Base	Primary value for exponentiations	Seed(), Form()
Secret	Private exponent	Seed()
Signal	Public signal value	Seed()
Channel	Derived from Base^Signal	Tune()
Contour	Intermediate value	Avail()
Pole	Polarization result	Polarize()
Identity	Partner’s identity	Conify(), Saturate()
Foundation	Base^Identity mod Prime	Conify()
Element	Combined charge element	Saturate()
Coordinate	Partner’s pole value	Conjugate()
Charge	Computed from saturation	Saturate()
Chin	Used in reactions	Saturate()
Monopole	Final monopole state	Saturate()

Lifecycle

1. Seed() - Initialize Base, Secret, Signal
2. Tune() - Compute Channel
3. Avail() - Set Contour
4. Form() - Transform Base, re-Tune
5. Polarize() - Compute Pole
6. Conjugate() - Set Coordinate from partner
7. Conify() - Set Identity, Foundation
8. Saturate() - Compute Charge, Chin, Element, Monopole

Mathematical Relationships

Channel = Base^Signal mod MotzkinPrime
Contour = Xi^Secret mod MotzkinPrime
Pole = Base^Secret mod MotzkinPrime
Foundation = Base^Identity mod MotzkinPrime

During Saturate:
Beta = Epsilon^Identity mod Prime
Rho = Theta^Identity mod Prime
Eta = Epsilon^Signal mod Prime
Charge = Rho + Eta
Chin = Beta + Eta
Element = Beta + Charge
Monopole = Chin^Identity mod Prime

Used By

SHA - Primary storage structure
VMREQ - Extended as VMFa

VMFa: Extended version with additional fields (Dynamo, Manifold, Ring, Barn, Tau, Eta, Kappa, Alpha, Nu)
Faung: Container for Rod/Cone VMFa pairs

Structs

Fa

struct Fa {
    uint64 Base;
    uint64 Secret;
    uint64 Signal;
    uint64 Channel;
    uint64 Contour;
    uint64 Pole;
    uint64 Identity;
    uint64 Foundation;
    uint64 Element;
    uint64 Coordinate;
    uint64 Charge;
    uint64 Chin;
    uint64 Monopole;
}

Fa