RandyMcMillan

SHOT - Schnorr HTLC Obfuscation Technique

Taproot internal key aggregation

• P = p·G taproot internal public key
• p = a·b taproot internal private key

Alice and Bob reveal each other their pubkey for the session, and then both can generate the same address.

• A = a·G Alice (buyer of UTXO)

RandyMcMillan

//// src/main.rs

use std::collections::HashMap;

// --- PLACEHOLDER TYPES (Replacing ECC Types) ---
// In a real implementation, these would be Elliptic Curve Points or Scalars.
type MintPrivateKey = u64;    // k
type MintPublicKey = u64;     // K = k * G
type UserSecret = u64;        // x
type RandomPoint = u64;       // Y = hash_to_curve(x)

RandyMcMillan

//// The prime modulus for the finite field GF(17)
const P: i64 = 17;

// Curve parameters: y^2 = x^3 + A*x + B (mod P)
const A: i64 = 2;
const B: i64 = 3;

/// Represents a point on the elliptic curve.
/// The point is (x, y). The identity point (Point at Infinity) is represented
/// by (0, 0) since the point (0, 0) is not on this curve (0^2 != 0^3 + 2*0 + 3 mod 17).

RandyMcMillan

use std::f64::consts::PI;

/// Calculates an approximation of Pi using Viète's formula.
///
/// The formula is based on an infinite product of terms involving nested square roots.
/// This function approximates the product up to a given number of iterations.
///
/// # Arguments
///
/// * `iterations` - The number of terms to include in the product. More iterations

RandyMcMillan

fn main() {
    // The Golden Ratio is (1 + sqrt(5)) / 2
    let five = 5.0f64;

    // --- Floating-Point Types (Accurate Representation) ---
    // f64: Double-precision floating point (default and most precise)
    let phi_f64: f64 = (1.0 + five.sqrt()) / 2.0;

    // f32: Single-precision floating point (less precision)
    let phi_f32: f32 = (1.0f32 + (5.0f32).sqrt()) / 2.0f32;

RandyMcMillan

//#![no_std] 
extern crate alloc; 
use alloc::vec::Vec; 

/// Placeholder for the real SHA-256 function.
/// It only uses the length of the data to generate a predictable output.
fn sha256_placeholder(data: &[u8]) -> [u8; 32] {
    let mut hash = [0u8; 32];
    let len_bytes = (data.len() as u32).to_le_bytes();
    hash[0..4].copy_from_slice(&len_bytes);

RandyMcMillan

//#![no_std] 

fn sha256_placeholder(data: &[u8]) -> [u8; 32] {
    let mut hash = [0u8; 32];
    let len_bytes = (data.len() as u32).to_le_bytes();
    hash[0..4].copy_from_slice(&len_bytes);
    hash
}

const SHA256_BLOCK_SIZE: usize = 64;

RandyMcMillan

//use std::f64;

/// Calculates the factorial of a non-negative integer 'n'.
/// Returns the result as a floating-point number (f64).
fn factorial(n: u32) -> f64 {
    if n == 0 {
        1.0
    } else {
        // Calculates the product of integers from 1 up to n.
        (1..=n).map(|i| i as f64).product()

RandyMcMillan

///// Calculates the factorial of a non-negative integer n.
fn factorial(n: u32) -> f64 {
    if n == 0 {
        1.0
    } else {
        (1..=n).map(|i| i as f64).product()
    }
}

/// Implements the given mathematical expression.

RandyMcMillan

/// Calculates the factorial of a non-negative integer n.
/// Since the input z is the upper limit of the sum, and k goes up to z,
/// we can assume k is small enough that the factorial fits in u64.
/// However, for the division in the formula to work with f64,
/// we'll return the result as an f64.
fn factorial(n: u32) -> f64 {
    if n == 0 {
        1.0
    } else {
        (1..=n).map(|i| i as f64).product()