commit 89dc2e245a49f445cccd434589d92f7c23ff92b1
Author: jacekpoz <jacekpoz@cock.li>
Date:   Thu Dec 28 03:48:54 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..f7801a6
--- /dev/null
+++ b/Cargo.toml
@@ -0,0 +1,9 @@
+[package]
+name = "zd3"
+version = "0.1.0"
+edition = "2021"
+
+[dependencies]
+anyhow = "1.0.75"
+plotters = "0.3.5"
+rand = "0.8.5"
diff --git a/graphs/2/cmp.png b/graphs/2/cmp.png
new file mode 100644
index 0000000..3e5c805
Binary files /dev/null and b/graphs/2/cmp.png differ
diff --git a/graphs/2/cpmn.png b/graphs/2/cpmn.png
new file mode 100644
index 0000000..19a1a73
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diff --git a/graphs/2/cpmnn.png b/graphs/2/cpmnn.png
new file mode 100644
index 0000000..832e534
Binary files /dev/null and b/graphs/2/cpmnn.png differ
diff --git a/graphs/2/s.png b/graphs/2/s.png
new file mode 100644
index 0000000..a938c19
Binary files /dev/null and b/graphs/2/s.png differ
diff --git a/graphs/2/sn.png b/graphs/2/sn.png
new file mode 100644
index 0000000..2838eb2
Binary files /dev/null and b/graphs/2/sn.png differ
diff --git a/graphs/2/snn.png b/graphs/2/snn.png
new file mode 100644
index 0000000..b29e2dc
Binary files /dev/null and b/graphs/2/snn.png differ
diff --git a/src/common.rs b/src/common.rs
new file mode 100644
index 0000000..829190d
--- /dev/null
+++ b/src/common.rs
@@ -0,0 +1,104 @@
+use std::{collections::HashMap, iter};
+
+use plotters::{backend::BitMapBackend, drawing::IntoDrawingArea, style::*, chart::ChartBuilder, element::Circle, series::PointSeries};
+
+pub fn average(v: &Vec<u64>) -> f64 {
+    v.iter()
+        .sum::<u64>() as f64 /
+    v.len() as f64
+}
+
+pub fn draw_graph_averages(
+    path: &str,
+    map: HashMap<u64, Vec<u64>>,
+    min: u64,
+    max: u64,
+    step: 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..(max as f64),
+            0f64..(*_max as f64),
+        )
+        .unwrap();
+
+    chart.configure_mesh()
+        .x_labels(10)
+        .y_labels(10)
+        .draw()
+        .unwrap();
+
+    for n in (min..=max).step_by(step as usize) {
+        chart.draw_series(PointSeries::<_, _, Circle<_, _>, _>::new(
+            map[&n].iter().map(|r| (n as f64, *r as f64)),
+            2,
+            BLUE.filled(),
+        ))?;
+
+        let point = iter::once(average(&map[&n])).map(|x| (n as f64, x as f64));
+
+        chart.draw_series(PointSeries::<_, _, Circle<_, _>, _>::new(
+            point,
+            5,
+            RED.filled(),
+        ))?;
+    }
+
+    Ok(())
+}
+
+pub fn draw_graph(
+    path: &str,
+    function: HashMap<u64, f64>,
+    min: u64,
+    max: u64,
+    step: u64,
+) -> 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..(max as f64),
+            0f64..(_max as f64),
+        )
+        .unwrap();
+
+    chart.configure_mesh()
+        .x_labels(10)
+        .y_labels(10)
+        .draw()
+        .unwrap();
+
+    for n in (min..=max).step_by(step as usize) {
+        let point = iter::once(function[&n]).map(|x| (n as f64, x as f64));
+        chart.draw_series(PointSeries::<_, _, Circle<_, _>, _>::new(
+            point,
+            5,
+            RED.filled(),
+        ))?;
+    }
+
+    Ok(())
+}
diff --git a/src/main.rs b/src/main.rs
new file mode 100644
index 0000000..ad3aa53
--- /dev/null
+++ b/src/main.rs
@@ -0,0 +1,37 @@
+use std::env;
+
+mod common;
+mod zad1;
+mod zad2;
+
+fn usage() {
+    eprintln!(
+        "usage: {} [1,2]",
+        env::args().next().unwrap()
+    );
+}
+
+fn main() -> anyhow::Result<()> {
+    match env::args().nth(1) {
+        Some(n) => match n.parse::<u64>() {
+            Ok(n) => {
+                match n {
+                    1 => zad1::zad1(),
+                    2 => zad2::zad2(),
+                    _ => {
+                        usage();
+                        std::process::exit(1)
+                    },
+                }
+            },
+            _ => {
+                usage();
+                std::process::exit(1)
+            },
+        },
+        _ => {
+            usage();
+            std::process::exit(1)
+        }
+    }
+}
diff --git a/src/zad1.rs b/src/zad1.rs
new file mode 100644
index 0000000..a05c6fe
--- /dev/null
+++ b/src/zad1.rs
@@ -0,0 +1,446 @@
+use std::sync::Arc;
+use std::{collections::HashMap, sync::RwLock};
+use std::thread;
+
+use rand::Rng;
+
+use crate::common::*;
+
+#[derive(Debug, Default)]
+struct Results {
+    b: u64,
+    u: u64,
+    c: u64,
+    d: u64,
+    l: u64,
+}
+
+fn test(n: u64, d: u64) -> Results {
+    let mut bins = vec![0u64; n as usize];
+    let mut one_ball_counter = 0u64;
+    let mut two_balls_counter = 0u64;
+    let mut i = 0u64;
+    let mut results = Results::default();
+    let mut rand_bins = vec![0u64; d as usize];
+
+    while i < n {
+        let mut rand_bin: Option<u64> = None;
+        for ii in 0..d {
+            rand_bins[ii as usize] = rand::thread_rng().gen_range(0..n);
+            if rand_bin.is_none() {
+                rand_bin = Some(rand_bins[0]);
+                continue;
+            }
+            if bins[rand_bins[ii as usize] as usize] < bins[rand_bin.unwrap() as usize] {
+                rand_bin = Some(rand_bins[ii as usize]);
+            }
+        }
+        let rand_bin = rand_bin.expect("failed to pick random bin\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;
+
+    // SAFETY: bins should not be empty
+    results.l = *bins.iter().max().unwrap();
+
+    results
+}
+
+
+fn test_d(d: u64) -> 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 ((10000 + cpu * 10000)..=1000000).step_by(10000 * num_cpus) {
+                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, d));
+                    //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(
+        format!("graphs/1/d{d}/b.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.b)
+                    .collect()
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph_averages(
+        format!("graphs/1/d{d}/u.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.u)
+                    .collect()
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph_averages(
+        format!("graphs/1/d{d}/c.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.c)
+                    .collect()
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph_averages(
+        format!("graphs/1/d{d}/d.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.d)
+                    .collect()
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph_averages(
+        format!("graphs/1/d{d}/d-c.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.d - r.c)
+                    .collect()
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/bn.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.b)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/bsqrtn.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.b)
+                        .collect()
+                ) / ((*k as f64).sqrt())
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/un.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.u)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/cn.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/cnlnn.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64).ln())
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/cn2.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.c)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64))
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/dn.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) / (*k as f64)
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/dnlnn.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64).ln())
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/dn2.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                        .map(|r| r.d)
+                        .collect()
+                ) / ((*k as f64) * (*k as f64))
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/dcn.png").as_str(),
+        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(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/dcnlnn.png").as_str(),
+        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(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/dcnlnlnn.png").as_str(),
+        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(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/lf1.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                    .map(|r| r.l)
+                    .collect()
+                ) / ((*k as f64).ln() / (*k as f64).ln().ln())
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    draw_graph(
+        format!("graphs/1/d{d}/lf2.png").as_str(),
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                    .map(|r| r.l)
+                    .collect()
+                ) / ((*k as f64).ln().ln() / 2f64.ln())
+            )
+        ).collect(),
+        10000u64,
+        1000000u64,
+        10000u64
+    )?;
+
+    Ok(())
+}
+
+pub fn zad1() -> anyhow::Result<()> {
+    test_d(1)?;
+    test_d(2)?;
+
+    Ok(())
+}
diff --git a/src/zad2.rs b/src/zad2.rs
new file mode 100644
index 0000000..93ddf00
--- /dev/null
+++ b/src/zad2.rs
@@ -0,0 +1,175 @@
+use std::{sync::{Arc, RwLock}, collections::HashMap, thread};
+
+use rand::{seq::SliceRandom, thread_rng};
+
+use crate::common::*;
+
+#[derive(Debug, Default)]
+struct Results {
+    cmp: u64,
+    s: u64,
+}
+
+fn rand_vec(n: u64) -> Vec<u64> {
+    let mut ret = (1..=n).collect::<Vec<u64>>();
+    ret.shuffle(&mut thread_rng());
+    ret
+}
+
+fn insertion_sort(a: &mut Vec<u64>) -> Results {
+    let n = a.len();
+    let mut cmp = 0u64;
+    let mut s = 0u64;
+
+    for j in 2..=(n - 1) {
+        let key = a[j];
+        let mut i = j - 1;
+
+        while i > 0 && a[i] > key {
+            cmp += 1;
+            a[i + 1] = a[i];
+            s += 1;
+            i -= 1;
+        }
+        a[i + 1] = key;
+        s += 1;
+    }
+
+    Results { cmp, s }
+}
+
+pub fn zad2() -> 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 ((100 + cpu * 100)..=10000).step_by(100 * num_cpus) {
+                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(insertion_sort(&mut rand_vec(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/2/cmp.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.cmp)
+                    .collect()
+            )
+        ).collect(),
+        100u64,
+        10000u64,
+        100u64
+    )?;
+
+    draw_graph_averages(
+        "graphs/2/s.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                v.iter()
+                    .map(|r| r.s)
+                    .collect()
+            )
+        ).collect(),
+        100u64,
+        10000u64,
+        100u64
+    )?;
+
+    draw_graph(
+        "graphs/2/cpmn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                    .map(|r| r.cmp)
+                    .collect()
+                ) / (*k as f64)
+            )
+        ).collect(),
+        100u64,
+        10000u64,
+        100u64
+    )?;
+
+    draw_graph(
+        "graphs/2/cpmnn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                    .map(|r| r.cmp)
+                    .collect()
+                ) / ((*k as f64) * (*k as f64))
+            )
+        ).collect(),
+        100u64,
+        10000u64,
+        100u64
+    )?;
+
+    draw_graph(
+        "graphs/2/sn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                    .map(|r| r.s)
+                    .collect()
+                ) / (*k as f64)
+            )
+        ).collect(),
+        100u64,
+        10000u64,
+        100u64
+    )?;
+
+    draw_graph(
+        "graphs/2/snn.png",
+        results.iter().map(|(k, v)|
+            (
+                *k,
+                average(
+                    &v.iter()
+                    .map(|r| r.s)
+                    .collect()
+                ) / ((*k as f64) * (*k as f64))
+            )
+        ).collect(),
+        100u64,
+        10000u64,
+        100u64
+    )?;
+
+    Ok(())
+}