From 66873f0092d3d0e8eab4a519e177107b167928ac Mon Sep 17 00:00:00 2001 From: jacekpoz Date: Sun, 3 Dec 2023 23:31:40 +0100 Subject: [PATCH] init --- .gitignore | 1 + Cargo.lock | 917 ++++++++++++++++++++++++++++++++++++++++++ Cargo.toml | 9 + graphs/1/b.png | Bin 0 -> 263999 bytes graphs/1/c.png | Bin 0 -> 206172 bytes graphs/1/d-c.png | Bin 0 -> 257032 bytes graphs/1/d.png | Bin 0 -> 212572 bytes graphs/1/u.png | Bin 0 -> 113383 bytes graphs/2/bn.png | Bin 0 -> 117258 bytes graphs/2/bsqrtn.png | Bin 0 -> 108085 bytes graphs/2/cn.png | Bin 0 -> 98152 bytes graphs/2/cn2.png | Bin 0 -> 110025 bytes graphs/2/cnlnn.png | Bin 0 -> 92558 bytes graphs/2/dcn.png | Bin 0 -> 101377 bytes graphs/2/dcnlnlnn.png | Bin 0 -> 104743 bytes graphs/2/dcnlnn.png | Bin 0 -> 113029 bytes graphs/2/dn.png | Bin 0 -> 109473 bytes graphs/2/dn2.png | Bin 0 -> 91832 bytes graphs/2/dnlnn.png | Bin 0 -> 107138 bytes graphs/2/un.png | Bin 0 -> 107869 bytes src/main.rs | 432 ++++++++++++++++++++ 21 files changed, 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z_Tlha@N|zmH7Wav&2`|@IsvsA__V6mH0@Nv;$*J{pVlmHcUSK}`E~n88p}stAL1+n ziO>zLzWQokdrgqN2K78y)2i^M$0}Y-puKpOZE}8uA`|J9Aix+3~m9(UGF~` zWk#xl%Rh0Ja3vVRY>Hk~M~5z>3ZC-JGkv8RTWM5WMpPWQk|(1v1r4Na)tN3JN8rSR z&_zVFBZgh0&E zOn}(3tJD3l;xLMzbtE=tId-d%dIG8TqW1m>`k}*`u(*3;A#TQ7uYHepy($Q+(f8J& zJ^(H~unk8VKbs 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>, +) -> 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, +) -> 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) -> f64 { + v.iter() + .sum::() as f64 / + v.len() as f64 +} + +fn main() -> anyhow::Result<()> { + let results: Arc>>> = 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(()) +}