moved function to own file + added sample variation
This commit is contained in:
@@ -1,5 +1,5 @@
|
||||
[package]
|
||||
name = "MonteCarlo-Rust"
|
||||
name = "montecarlo-rust"
|
||||
version = "0.1.0"
|
||||
edition = "2021"
|
||||
|
||||
|
||||
@@ -12,19 +12,15 @@ impl Bounds {
|
||||
return Bounds {x, y};
|
||||
}
|
||||
|
||||
pub fn get_area(self) -> f64 {
|
||||
pub fn get_area(&self) -> f64 {
|
||||
return self.x.get_length() * self.y.get_length();
|
||||
}
|
||||
|
||||
pub fn get_random_point(self) -> Point {
|
||||
pub fn get_random_point(&self) -> Point {
|
||||
return Point::new(self.x.get_random_value(), self.y.get_random_value());
|
||||
}
|
||||
|
||||
pub fn get_x(self) -> LinearBounds {
|
||||
pub fn get_x(&self) -> LinearBounds {
|
||||
return self.x;
|
||||
}
|
||||
|
||||
pub fn get_y(self) -> LinearBounds {
|
||||
return self.y;
|
||||
}
|
||||
}
|
||||
|
||||
61
src/function.rs
Normal file
61
src/function.rs
Normal file
@@ -0,0 +1,61 @@
|
||||
use std::sync::Arc;
|
||||
use std::thread::JoinHandle;
|
||||
use crate::bounds::Bounds;
|
||||
use crate::linear_bounds::LinearBounds;
|
||||
use crate::point::Point;
|
||||
|
||||
#[derive(Clone, Copy)]
|
||||
pub struct Function{}
|
||||
|
||||
fn f(x: &f64) -> f64 {
|
||||
return x.powi(4) - 4_f64 * x.powi(3) + 18_f64 * x.powi(2) - 12_f64 * x - 69_f64
|
||||
}
|
||||
|
||||
fn big_f(x: &f64) -> f64 {
|
||||
return 0.2 * x.powi(5) - x.powi(4) + 6_f64 * x.powi(3) - 6_f64 * x.powi(2) - 69_f64 * x;
|
||||
}
|
||||
|
||||
impl Function {
|
||||
pub fn new() -> Function {
|
||||
return Function {};
|
||||
}
|
||||
|
||||
pub fn integrate(&self, bounds: &LinearBounds) -> f64 {
|
||||
return big_f(&bounds.get_higher()) - big_f(&bounds.get_lower());
|
||||
}
|
||||
|
||||
fn includes(&self, point: &Point) -> bool {
|
||||
let y_0: f64 = f(&point.get_x());
|
||||
return y_0.abs() > point.get_y().abs() && y_0 * point.get_y() >= 0_f64;
|
||||
}
|
||||
|
||||
pub fn approximate(&self, bounds: &Bounds, samples: usize, thread_cnt: usize) -> f64 {
|
||||
let mut hits: u64 = 0;
|
||||
let mut threads: Vec<JoinHandle<u64>> = vec![];
|
||||
|
||||
let function: Arc<Function> = Arc::new(*self);
|
||||
let bounds: Arc<Bounds> = Arc::new(*bounds);
|
||||
|
||||
for _ in 0..thread_cnt {
|
||||
let function = function.clone();
|
||||
let bounds = bounds.clone();
|
||||
|
||||
threads.push(std::thread::spawn(move || {
|
||||
let mut hits: u64 = 0;
|
||||
for _ in 0..samples {
|
||||
let point: Point = bounds.get_random_point();
|
||||
if function.includes(&point) {
|
||||
hits += 1;
|
||||
}
|
||||
}
|
||||
return hits;
|
||||
}))
|
||||
}
|
||||
|
||||
for thread in threads {
|
||||
hits += thread.join().unwrap();
|
||||
}
|
||||
|
||||
return (hits as f64 / (thread_cnt * samples) as f64) * bounds.get_area();
|
||||
}
|
||||
}
|
||||
@@ -12,20 +12,20 @@ impl LinearBounds {
|
||||
return LinearBounds {lower, higher};
|
||||
}
|
||||
|
||||
pub fn get_length(self) -> f64 {
|
||||
pub fn get_length(&self) -> f64 {
|
||||
return (self.higher - self.lower).abs();
|
||||
}
|
||||
|
||||
pub fn get_random_value(self) -> f64 {
|
||||
pub fn get_random_value(&self) -> f64 {
|
||||
let mut rand: ThreadRng = thread_rng();
|
||||
return self.lower + self.get_length() * rand.gen::<f64>();
|
||||
}
|
||||
|
||||
pub fn get_lower(self) -> f64 {
|
||||
pub fn get_lower(&self) -> f64 {
|
||||
return self.lower;
|
||||
}
|
||||
|
||||
pub fn get_higher(self) -> f64 {
|
||||
pub fn get_higher(&self) -> f64 {
|
||||
return self.higher;
|
||||
}
|
||||
}
|
||||
72
src/main.rs
72
src/main.rs
@@ -1,67 +1,35 @@
|
||||
use std::thread::JoinHandle;
|
||||
use std::time::Instant;
|
||||
use crate::bounds::Bounds;
|
||||
use crate::function::Function;
|
||||
use crate::linear_bounds::LinearBounds;
|
||||
use crate::point::Point;
|
||||
|
||||
const SAMPLES: u64 = 1_000_000_000;
|
||||
const THREAD_CNT: u64 = 8;
|
||||
use crate::plot::Plot;
|
||||
|
||||
mod point;
|
||||
mod linear_bounds;
|
||||
mod bounds;
|
||||
mod function;
|
||||
mod plot;
|
||||
|
||||
fn f(x: f64) -> f64 {
|
||||
return x.powi(4) - 4_f64 * x.powi(3) + 18_f64 * x.powi(2) - 12_f64 * x - 69_f64
|
||||
}
|
||||
|
||||
fn is_inside(point: Point) -> bool {
|
||||
let y_0: f64 = f(point.get_x());
|
||||
return y_0.abs() > point.get_y().abs() && y_0 * point.get_y() >= 0_f64;
|
||||
}
|
||||
|
||||
fn get_real_integral(bounds: LinearBounds) -> f64 {
|
||||
return big_f(bounds.get_higher()) - big_f(bounds.get_lower());
|
||||
}
|
||||
|
||||
fn big_f(x: f64) -> f64 {
|
||||
return 0.2 * x.powi(5) - x.powi(4) + 6_f64 * x.powi(3) - 6_f64 * x.powi(2) - 69_f64 * x;
|
||||
}
|
||||
const THREAD_CNT: usize = 8;
|
||||
|
||||
fn main() {
|
||||
let start: Instant = Instant::now();
|
||||
let mut points_inside: u64 = 0;
|
||||
let bounds: Bounds = Bounds::new(LinearBounds::new(0_f64, 20_f64), LinearBounds::new(-100_f64, 150000_f64));
|
||||
let func: Function = Function::new();
|
||||
|
||||
let mut threads: Vec<JoinHandle<u64>> = vec![];
|
||||
let sample_limit: usize = 1_000;
|
||||
let sub_samples: Vec<usize> = vec![1, 2, 5];
|
||||
let samples_per_iteration: usize = 10;
|
||||
|
||||
for _ in 0..THREAD_CNT {
|
||||
threads.push(std::thread::spawn(move || {
|
||||
let mut points_inside: u64 = 0;
|
||||
for _ in 0..SAMPLES {
|
||||
let point: Point = bounds.get_random_point();
|
||||
if is_inside(point) {
|
||||
points_inside += 1;
|
||||
}
|
||||
let mut result: Plot = Plot::new();
|
||||
|
||||
let mut sample_cnt: usize = 1;
|
||||
while sample_cnt <= sample_limit {
|
||||
for sub_sample in sub_samples.clone() {
|
||||
let samples: usize = sub_sample * sample_cnt;
|
||||
for _ in 0..samples_per_iteration {
|
||||
result.add_sample(samples, func.approximate(&bounds, samples, THREAD_CNT));
|
||||
}
|
||||
return points_inside;
|
||||
}))
|
||||
}
|
||||
sample_cnt *= 10;
|
||||
}
|
||||
|
||||
for thread in threads {
|
||||
points_inside += thread.join().unwrap();
|
||||
}
|
||||
|
||||
let total_samples: u64 = SAMPLES * THREAD_CNT;
|
||||
|
||||
let approximated_integral: f64 = (points_inside as f64 / total_samples as f64) * bounds.get_area();
|
||||
println!("The approximated Integral of the function is: {:.2}", approximated_integral);
|
||||
|
||||
let real_integral: f64 = get_real_integral(bounds.get_x());
|
||||
println!("The real Integral of the function is: {:.2}", real_integral);
|
||||
|
||||
let error: f64 = (real_integral - approximated_integral).abs();
|
||||
println!("That's an error of {:.2} or {:.5}%", error, (error/real_integral) * 100_f64);
|
||||
|
||||
println!("And the whole thing took {:.5} Seconds for {} samples", start.elapsed().as_micros() as f64 / 1000000_f64, total_samples);
|
||||
result.print();
|
||||
}
|
||||
29
src/plot.rs
Normal file
29
src/plot.rs
Normal file
@@ -0,0 +1,29 @@
|
||||
use std::iter::zip;
|
||||
|
||||
#[derive(Debug)]
|
||||
pub struct Plot {
|
||||
x: Vec<usize>,
|
||||
y: Vec<Vec<f64>>,
|
||||
}
|
||||
|
||||
impl Plot {
|
||||
pub fn new() -> Plot {
|
||||
return Plot { x: vec![], y: vec![] }
|
||||
}
|
||||
|
||||
pub fn add_sample(&mut self, sample: usize, value: f64) -> () {
|
||||
if let Some(index) = self.x.iter().position(|&x| x == sample) {
|
||||
self.y[index].push(value);
|
||||
}
|
||||
else {
|
||||
self.x.push(sample);
|
||||
self.y.push(vec![value]);
|
||||
}
|
||||
}
|
||||
|
||||
pub fn print(self) -> () {
|
||||
for (x, y) in zip(self.x, self.y) {
|
||||
println!("{}: {:?}", x, y);
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -9,11 +9,11 @@ impl Point {
|
||||
return Point {x, y};
|
||||
}
|
||||
|
||||
pub fn get_x(self) -> f64 {
|
||||
pub fn get_x(&self) -> f64 {
|
||||
return self.x;
|
||||
}
|
||||
|
||||
pub fn get_y(self) -> f64 {
|
||||
pub fn get_y(&self) -> f64 {
|
||||
return self.y;
|
||||
}
|
||||
}
|
||||
Reference in New Issue
Block a user