moved function to own file + added sample variation

This commit is contained in:
2024-04-17 12:54:06 +02:00
parent 6e67d2a9a8
commit 74ea548338
7 changed files with 121 additions and 67 deletions

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@@ -1,5 +1,5 @@
[package] [package]
name = "MonteCarlo-Rust" name = "montecarlo-rust"
version = "0.1.0" version = "0.1.0"
edition = "2021" edition = "2021"

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@@ -12,19 +12,15 @@ impl Bounds {
return Bounds {x, y}; 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(); 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()); 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; return self.x;
} }
pub fn get_y(self) -> LinearBounds {
return self.y;
}
} }

61
src/function.rs Normal file
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@@ -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();
}
}

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@@ -12,20 +12,20 @@ impl LinearBounds {
return LinearBounds {lower, higher}; return LinearBounds {lower, higher};
} }
pub fn get_length(self) -> f64 { pub fn get_length(&self) -> f64 {
return (self.higher - self.lower).abs(); 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(); let mut rand: ThreadRng = thread_rng();
return self.lower + self.get_length() * rand.gen::<f64>(); return self.lower + self.get_length() * rand.gen::<f64>();
} }
pub fn get_lower(self) -> f64 { pub fn get_lower(&self) -> f64 {
return self.lower; return self.lower;
} }
pub fn get_higher(self) -> f64 { pub fn get_higher(&self) -> f64 {
return self.higher; return self.higher;
} }
} }

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@@ -1,67 +1,35 @@
use std::thread::JoinHandle;
use std::time::Instant;
use crate::bounds::Bounds; use crate::bounds::Bounds;
use crate::function::Function;
use crate::linear_bounds::LinearBounds; use crate::linear_bounds::LinearBounds;
use crate::point::Point; use crate::plot::Plot;
const SAMPLES: u64 = 1_000_000_000;
const THREAD_CNT: u64 = 8;
mod point; mod point;
mod linear_bounds; mod linear_bounds;
mod bounds; mod bounds;
mod function;
mod plot;
fn f(x: f64) -> f64 { const THREAD_CNT: usize = 8;
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;
}
fn main() { 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 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 { let mut result: Plot = Plot::new();
threads.push(std::thread::spawn(move || {
let mut points_inside: u64 = 0; let mut sample_cnt: usize = 1;
for _ in 0..SAMPLES { while sample_cnt <= sample_limit {
let point: Point = bounds.get_random_point(); for sub_sample in sub_samples.clone() {
if is_inside(point) { let samples: usize = sub_sample * sample_cnt;
points_inside += 1; for _ in 0..samples_per_iteration {
} result.add_sample(samples, func.approximate(&bounds, samples, THREAD_CNT));
} }
return points_inside; }
})) sample_cnt *= 10;
} }
result.print();
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);
}

29
src/plot.rs Normal file
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@@ -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);
}
}
}

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@@ -9,11 +9,11 @@ impl Point {
return Point {x, y}; return Point {x, y};
} }
pub fn get_x(self) -> f64 { pub fn get_x(&self) -> f64 {
return self.x; return self.x;
} }
pub fn get_y(self) -> f64 { pub fn get_y(&self) -> f64 {
return self.y; return self.y;
} }
} }