RandyMcMillan

// Filename: archimedes_pi.rs

/// Approximates pi using Archimedes' method by iteratively calculating
/// the semi-perimeter of an inscribed regular polygon with 2^(k+1) sides
/// in a unit circle (r=1).
///
/// The formula used here is an iterative approach for the semi-perimeter (P_n),
/// where P_n is the semi-perimeter of the n-sided polygon.
///
/// # Arguments

RandyMcMillan

use num_traits::Float;

/// Calculates the lengths of the hypotenuses in the Spiral of Theodorus,
/// which are the square roots of integers starting from sqrt(2).
fn calculate_theodorus_hypotenuses<F: Float>(count: u32) -> Vec<F> {
    // We want roots from sqrt(2) up to sqrt(count + 1).
    // The number of triangles is 'count'.
    let mut lengths = Vec::with_capacity(count as usize);

    // The length of the first hypotenuse (the base of the spiral) is sqrt(1^2 + 1^2) = sqrt(2).

RandyMcMillan

use sha2::{Digest, Sha256};
use std::collections::{HashMap, HashSet};
use std::fs;
use std::io::{self, Read};
use serde::{Serialize, Deserialize};
use chrono::Utc;
// APPROVED DEPENDENCY: Using data_encoding for all hex operations
use data_encoding::HEXUPPER; 

// ====================================================================

RandyMcMillan

use sha2::{Digest, Sha256};
use std::collections::{HashMap, HashSet};
use std::fs;
use std::io::{self, Read};
use serde::{Serialize, Deserialize};
use chrono::Utc;
// APPROVED DEPENDENCY: Using data_encoding for all hex operations
use data_encoding::HEXUPPER; 

// ====================================================================

RandyMcMillan

use std::net::{TcpListener, TcpStream, /*ToSocketAddrs, */SocketAddr};
use std::time::Duration;
use std::thread;
use std::io::{self, Read, Write};

// --- Configuration ---
const TARGET_IP: &str = "127.0.0.1"; // The IP the scanner checks
const TIMEOUT_MS: u64 = 500;         // Connection timeout in milliseconds
// ---------------------

RandyMcMillan

use std::env;

fn env_vars() {
    // Iterate over all environment variables.
    for (key, value) in env::vars() {
        println!("{}: {}", key, value);
    }

    // You can also filter the environment variables.
    println!("\nFiltered environment variables:");

RandyMcMillan

// Only using standard library features for this illustrative concept,
// as the listed crates don't provide a direct, safe XOR-list implementation.

use std::ptr;
use std::mem;

// --- A simplified structure for an XOR-linked list node ---
struct Node {
    pub value: u32,
    // The "link" is the XOR of the *pointers* to the previous and next nodes.

RandyMcMillan

// 1. Declarative Macro Definition
// This macro takes a field identifier ($field:ident) and generates a public
// getter method with the same name.
macro_rules! create_getter {
    ($field:ident) => {
        // The generated code:
        pub fn $field(&self) -> &str {
            // Assumes the field is a String, and returns a string slice (&str)
            &self.$field
        }

RandyMcMillan

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

// Note: This implementation uses f64 (floating-point) for the polar coordinates (r, theta)
// and trigonometric functions (sin, cos). This approach is for **geometric demonstration** // and is NOT how Elliptic Curve Cryptography (ECC) is performed, as ECC requires 
// all arithmetic to be done with **integers** in a finite field (modulo P).

// The equation evaluated is: 
// r^2 * sin^2(θ) = (A_std * r^3 * cos^3(θ) + B_std * r * cos(θ) + C_std) mod P

/// Evaluates the polar form of the Elliptic Curve equation.

RandyMcMillan

// Note: In real ECC, the modulus P is a large prime (256 bits or more), 
// which requires an external crate like `num-bigint` or `crypto-bigint`.
// This example uses u128, which is only 128 bits, for demonstration purposes.

// We will map the general equation to the standard Weierstrass form over a finite field:
// LHS: R * sin^2(θ)  -> y_squared
// RHS: A*(r/cos(θ))^3 + B*(r/cos(θ))^1 + C -> A_std * x^3 + B_std * x + C_std

/// Evaluates the right-hand side of the Elliptic Curve equation (Weierstrass form)
/// over a finite field, using only Rust's standard library integer types (u128).