commit 66873f0092d3d0e8eab4a519e177107b167928ac
Author: jacekpoz <jacekpoz@cock.li>
Date:   Sun Dec 3 23:31:40 2023 +0100

    init

diff --git a/.gitignore b/.gitignore
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diff --git a/Cargo.toml b/Cargo.toml
new file mode 100644
index 0000000..afc0388
--- /dev/null
+++ b/Cargo.toml
@@ -0,0 +1,9 @@
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diff --git a/graphs/1/b.png b/graphs/1/b.png
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diff --git a/graphs/2/dn2.png b/graphs/2/dn2.png
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diff --git a/src/main.rs b/src/main.rs
new file mode 100644
index 0000000..64617ad
--- /dev/null
+++ b/src/main.rs
@@ -0,0 +1,432 @@
+use std::sync::Arc;
+use std::{collections::HashMap, sync::RwLock};
+use std::{thread, iter};
+
+use plotters::backend::BitMapBackend;
+use plotters::chart::ChartBuilder;
+use plotters::drawing::IntoDrawingArea;
+use plotters::element::Circle;
+use plotters::series::PointSeries;
+use plotters::style::*;
+use rand::Rng;
+
+#[derive(Debug, Default)]
+struct Results {
+    b: u64,
+    u: u64,
+    c: u64,
+    d: u64,
+}
+
+fn test(n: u64) -> Results {
+    let mut bins = vec![0; n as usize];
+    let mut one_ball_counter = 0u64;
+    let mut two_balls_counter = 0u64;
+    let mut i = 0u64;
+    let mut results = Results::default();
+
+    while two_balls_counter < n {
+        let rand_bin = rand::thread_rng().gen_range(0..n);
+        
+        bins[rand_bin as usize] += 1;
+        i += 1;
+
+        if bins[rand_bin as usize] == 1 {
+            one_ball_counter += 1;
+        }
+
+        if bins[rand_bin as usize] == 2 {
+            two_balls_counter += 1;
+
+            if two_balls_counter == 1 {
+                results.b = i;
+            }
+        }
+
+        if i == (n - 1) {
+            results.u = n - one_ball_counter;
+        }
+
+        if one_ball_counter == n {
+            results.c = i;
+            // to make sure this condition isn't hit
+            // in further iterations — without this
+            // one_ball_counter stays at n until the end
+            one_ball_counter += 1;
+        }
+    }
+
+    results.d = i;
+
+    results
+}
+
+fn draw_graph_averages(
+    path: &str,
+    map: HashMap<u64, Vec<u64>>,
+) -> anyhow::Result<()> {
+    let max = map.values()
+        .flatten()
+        .max()
+        .unwrap();
+
+    let root_drawing_area = BitMapBackend::new(path, (1920, 1080))
+        .into_drawing_area();
+
+    root_drawing_area.fill(&WHITE).unwrap();
+
+    let mut chart = ChartBuilder::on(&root_drawing_area)
+        .x_label_area_size(20)
+        .y_label_area_size(60)
+        .build_cartesian_2d(
+            0f64..100000f64,
+            0f64..(*max as f64),
+        )
+        .unwrap();
+
+    chart.configure_mesh()
+        .x_labels(10)
+        .y_labels(10)
+        .draw()
+        .unwrap();
+
+    for n in (1000..=100000).step_by(1000) {
+        chart.draw_series(PointSeries::<_, _, Circle<_, _>, _>::new(
+            map[&n].iter().map(|r| (n as f64, *r as f64)),
+            2,
+            BLUE.filled(),
+        ))?;
+
+        chart.draw_series(PointSeries::<_, _, Circle<_, _>, _>::new(
+            iter::once(average(&map[&n])).map(|x| (n as f64, x as f64)),
+            5,
+            RED.filled(),
+        ))?;
+    }
+
+    Ok(())
+}
+
+fn draw_graph(
+    path: &str,
+    function: HashMap<u64, f64>,
+) -> anyhow::Result<()> {
+    let max = function.values()
+        .map(|x| *x)
+        .reduce(f64::max)
+        .unwrap();
+
+    let root_drawing_area = BitMapBackend::new(path, (1920, 1080))
+        .into_drawing_area();
+
+    root_drawing_area.fill(&WHITE).unwrap();
+
+    let mut chart = ChartBuilder::on(&root_drawing_area)
+        .x_label_area_size(20)
+        .y_label_area_size(60)
+        .build_cartesian_2d(
+            0f64..100000f64,
+            0f64..(max as f64),
+        )
+        .unwrap();
+
+    chart.configure_mesh()
+        .x_labels(10)
+        .y_labels(10)
+        .draw()
+        .unwrap();
+
+    for n in (1000..=100000).step_by(1000) {
+        chart.draw_series(PointSeries::<_, _, Circle<_, _>, _>::new(
+            iter::once(function[&n]).map(|x| (n as f64, x as f64)),
+            5,
+            RED.filled(),
+        ))?;
+    }
+
+    Ok(())
+}
+
+fn average(v: &Vec<u64>) -> f64 {
+    v.iter()
+        .sum::<u64>() as f64 /
+    v.len() as f64
+}
+
+fn main() -> anyhow::Result<()> {
+    let results: Arc<RwLock<HashMap<u64, Vec<Results>>>> = Arc::new(RwLock::new(HashMap::new()));
+    let mut thread_handles = vec![];
+
+    let num_cpus = thread::available_parallelism()?.get();
+
+    for cpu in 0..num_cpus {
+        let cpu = cpu.clone();
+        let results = Arc::clone(&results);
+        let handle = thread::spawn(move || {
+            for n in ((1000 + cpu * 1000)..=100000).step_by(1000 + cpu * 1000) {
+                if results.read().expect("can't read results map").get(&(n as u64)).is_some() {
+                    continue;
+                }
+
+                let mut current_results = vec![];
+                for _k in 0..50 {
+                    current_results.push(test(n as u64));
+                    //SAFETY: there's always at least one element in current_results
+                    // println!("thread {:?}: n = {}; k = {}, results = {:?}", thread::current().id(), n, _k, current_results.last().unwrap());
+                }
+
+                results.write().expect("one of the threads panicked!").insert(n as u64, current_results);
+            }
+        });
+
+        thread_handles.push(handle);
+    }
+
+    for handle in thread_handles {
+        handle.join().expect("couldn't join handle");
+    }
+
+    let results = results.read().expect("can't access results");
+
+    draw_graph_averages(
+        "graphs/1/b.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.b)
+                    .collect()
+            )
+        ).collect()
+    )?;
+
+    draw_graph_averages(
+        "graphs/1/u.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.u)
+                    .collect()
+            )
+        ).collect()
+    )?;
+
+    draw_graph_averages(
+        "graphs/1/c.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.c)
+                    .collect()
+            )
+        ).collect()
+    )?;
+
+    draw_graph_averages(
+        "graphs/1/d.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.d)
+                    .collect()
+            )
+        ).collect()
+    )?;
+
+    draw_graph_averages(
+        "graphs/1/d-c.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.d - r.c)
+                    .collect()
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/bn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.b)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/bsqrtn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.b)
+                        .collect()
+                ) / ((*k as f64).sqrt())
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/un.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.u)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/cn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/cnlnn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64).ln())
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/cn2.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64))
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/dn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/dnlnn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64).ln())
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/dn2.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64))
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/dcn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                (average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) - average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                )) / (*k as f64)
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/dcnlnn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                (average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) - average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                )) / ((*k as f64) * (*k as f64).ln())
+            )
+        ).collect()
+    )?;
+
+    draw_graph(
+        "graphs/2/dcnlnlnn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                (average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) - average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                )) / ((*k as f64) * (*k as f64).ln().ln())
+            )
+        ).collect()
+    )?;
+
+    Ok(())
+}