SignVec

SignVec extends the capabilities of the traditional Vec by providing additional functionalities to efficiently track and manipulate elements based on their sign (positive or negative) using the Signable trait.

Features

• Tracks the sign of elements for optimized sign-specific operations.
• Provides methods for element counting, access, and manipulation based on sign.
• Integrates with user-defined types via the Signable trait.

Usage: Basic operations

use nanorand::{Rng, WyRand};
use signvec::{svec, Sign, SignVec};

fn main() {
    let mut vector = svec![1, -2, 3, -4];
    assert_eq!(vector.len(), 4);
    assert_eq!(vector[0], 1);
    assert_eq!(vector[1], -2);

    // Count positive and negative elements
    assert_eq!(vector.count(Sign::Plus), 2);
    assert_eq!(vector.count(Sign::Minus), 2);

    // Get indices of positive and negative elements
    assert_eq!(
        vector.indices(Sign::Plus).iter().collect::<Vec<_>>(),
        vec![&0, &2]
    );
    assert_eq!(
        vector.indices(Sign::Minus).iter().collect::<Vec<_>>(),
        vec![&1, &3]
    );

    // Retrieve values based on their sign
    assert_eq!(vector.values(Sign::Plus).collect::<Vec<_>>(), vec![&1, &3]);
    assert_eq!(
        vector.values(Sign::Minus).collect::<Vec<_>>(),
        vec![&-2, &-4]
    );

    // Modify individual elements
    vector.set(1, 5);
    assert_eq!(vector[1], 5);

    // Randomly select an element based on its sign
    let mut rng = WyRand::new();
    if let Some(random_positive) = vector.random(Sign::Plus, &mut rng) {
        println!("Random positive value: {}", random_positive);
    }
}

Usage: Monte Carlo simulations

This demonstrates a simple Monte Carlo simulation where site energies in a SignVec are updated based on simulated dynamics and system energy distribution.

use signvec::{SignVec, svec, Sign, Signable};
use nanorand::{WyRand, Rng};

fn main() {
    let mut energies = svec![1.0, -1.0, 1.5, -1.5, 0.5, -0.5];
    let mut rng = WyRand::new();

    // Simulation loop for multiple Monte Carlo steps
    for _step in 0..100 {
        let site = rng.generate_range(0..energies.len());
        let dE = rng.generate::<f64>() - 0.5; // Change in energy

        let new_energy = energies[site] + dE; // Update site energy
        
        // Make decisions based on system's energy distribution
        if energies.count(Sign::Minus) > energies.count(Sign::Plus) {
            if energies[site].sign() == Sign::Minus && rng.generate::<f64>() < 0.5 {
                energies.set(site, -new_energy); // Flip energy sign
            } else {
                energies.set(site, new_energy);
            }
        } else {
            energies.set(site, new_energy); // Balanced distribution
        }
    }

    println!("Final energy distribution: {:?}", energies);
}

Usage: Portfolio management

Demonstrates how SignVec can be used for managing a financial portfolio, simulating market conditions, and making decisions based on the sign-aware characteristics of assets and liabilities.

use signvec::{SignVec, Sign, svec};
use nanorand::WyRand;

fn main() {
    let mut portfolio = svec![150.0, -200.0, 300.0, -50.0, 400.0];
    let market_conditions = vec![1.05, 0.95, 1.10, 1.00, 1.03];

    // Apply market conditions to adjust portfolio balances
    for (index, &factor) in market_conditions.iter().enumerate() {
        portfolio.set(index, portfolio[index] * factor);
    }

    // Decision making based on portfolio's sign-aware characteristics
    if portfolio.count(Sign::Minus) > 2 {
        println!("Consider rebalancing your portfolio to manage risk.");
    } else {
        println!("Your portfolio is well-balanced and diversified.");
    }

    // Calculate 10% of total liabilities for debt reduction
    let debt_reduction = portfolio.values(Sign::Minus).sum::<f64>() * 0.1;
    println!("Plan for a debt reduction of ${:.2} to strengthen your financial position.", debt_reduction.abs());

    // Identify a high-performing asset for potential investment
    let mut rng = WyRand::new();
    if let Some(lucky_asset) = portfolio.random(Sign::Plus, &mut rng) {
        println!("Consider investing more in an asset valued at ${:.2}.", lucky_asset);
    } else {
        println!("No standout assets for additional investment at the moment.");
    }
}

Benchmarks

The table below is a summary of benchmark results for the specialized functionality of SignVec. The times are averaged between operations on positive and negative elements.

Benchmarks were conducted on a machine with the following specifications:

• Processor: AMD Ryzen™ 5 5600G with Radeon™ Graphics x 12
• Memory: 58.8 GiB
• Operating System: Guix System
• OS Type: 64-bit