RandyMcMillan

//! ============================================================================
//! Verbose & Advanced Example: Safe Cross-Architecture Volatile Assembly 
//! Macro That Will Not Be Compiled Out (Fixed I/O Return)
//! ============================================================================
//! 
//! Instructions to run:
//! 1. Create a new binary project: `cargo new asm_test && cd asm_test`
//! 2. Replace the contents of `src/main.rs` with this code.
//! 3. Run with release optimizations to verify it isn't stripped: 
//!    `cargo run --release`

RandyMcMillan

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RandyMcMillan

fn main() {
    println!("=== Z_2 Modular Arithmetic Verification ===");
    println!("Equation: (k - 1) / (1 - k) == 1 (mod 2)\n");

    // Explicitly annotate k as a signed integer (i32)
    for k in 0..4_i32 {
        let k_z2 = k % 2;

        let num = (k - 1).rem_euclid(2);
        let den = (1 - k).rem_euclid(2);

RandyMcMillan

// ============================================================================
// secp256k1 Simulation & Color Mapping Script
// ============================================================================

/// Helper to convert an RGB hex string (e.g., "#FF5733") into (R, G, B) u8 values.
fn hex_to_rgb(hex: &str) -> (u8, u8, u8) {
    let hex = hex.trim_start_matches('#');
    let r = u8::from_str_radix(&hex[0..2], 16).unwrap_or(0);
    let g = u8::from_str_radix(&hex[2..4], 16).unwrap_or(0);
    let b = u8::from_str_radix(&hex[4..6], 16).unwrap_or(0);

RandyMcMillan

/// Handwired Compilation Example in Rust (Expanded & Warning-Free)
/// Demonstrates converting state, conditionals, and loops into 
/// pure floating-point math, matrix operations, and ReLU.
/// Includes random length and random value generation.

#[derive(Debug, Clone)]
struct ProgramResult {
    acc: f64,
    status: f64,
    step_count: f64,

RandyMcMillan

/// Handwired Compilation Example in Rust
/// Demonstrates converting state, conditionals, and loops into 
/// pure floating-point math, matrix operations, and ReLU.
/// Includes random length and random value generation.

#[derive(Debug)]
struct ProgramResult {
    acc: f64,
    status: f64,
}

RandyMcMillan

/// Computes a structural loopback or skip-pointer hop based on trailing zeros.
fn loopback(block: usize) -> Option<usize> {
    let x = block.trailing_zeros();
    if x > 1 && block > 0 {
        Some(block - (1 << (x - 1)))
    } else {
        None
    }
}

RandyMcMillan

// Simple PRNG for reproducibility
struct SimpleRng {
    state: u64,
}

impl SimpleRng {
    fn new(seed: u64) -> Self {
        Self { state: seed }
    }
    fn next_f64(&mut self) -> f64 {

RandyMcMillan

// Simple Linear Congruential Generator (LCG) for reproducible seeding
// mirroring np.random.seed(42) without external dependencies.
struct SimpleRng {
    state: u64,
}

impl SimpleRng {
    fn new(seed: u64) -> Self {
        Self { state: seed }
    }

RandyMcMillan

use num_complex::Complex64;
use std::f64::consts::PI;

/// 1. Schoolbook Multiplication - O(n^2)
/// Base-10 arbitrary-precision multiplication for direct comparison.
pub fn multiply_schoolbook(a: &[u8], b: &[u8]) -> Vec<u8> {
    let mut result = vec![0u8; a.len() + b.len()];

    for (i, &da) in a.iter().rev().enumerate() {
        let mut carry = 0u64;