1 files changed, 114 insertions, 0 deletions
diff --git a/labs/src/lab6.rs b/labs/src/lab6.rs
new file mode 100644
index 0000000..9061da7
--- /dev/null
+++ b/labs/src/lab6.rs
@@ -0,0 +1,114 @@
+use crate::lab_trait::Lab;
+use eframe::egui;
+use std::collections::HashSet;
+use std::collections::HashMap;
+
+enum State<'a> {
+    Clean,
+    Done1,
+    Done2,
+    Error(&'a str),
+}
+
+pub struct Window<'a> {
+    n: u32,
+    q: u32,
+    subgroup: Vec<u32>,
+    subgroups: HashMap<u32, Vec<u32>>,
+    state: State<'a>,
+}
+
+impl<'a> Default for Window<'a> {
+    fn default() -> Self {
+        Self {
+            n: 6,
+            q: 3,
+            subgroup: Vec::new(),
+            subgroups: HashMap::new(),
+            state: State::Clean,
+        }
+    }
+}
+
+impl<'a> Lab for Window<'a> {
+    fn get_name(&self) -> &str { "Задача №6" }
+
+    fn update(&mut self, ui: &mut egui::Ui) {
+        ui.horizontal(|ui| {
+            ui.label("Порядок группы Z_n: ");
+            if ui.add(egui::DragValue::new(&mut self.n).clamp_range(2..=u32::MAX)).changed() {
+                self.state = State::Clean;
+                self.subgroup.clear();
+            }
+        });
+        ui.horizontal(|ui| {
+            ui.label("Порядок q подгруппы: ");
+            if ui.add(egui::DragValue::new(&mut self.q).clamp_range(1..=self.n)).changed() {
+                self.state = State::Clean;
+                self.subgroup.clear();
+            }
+        });
+        if ui.button("Вычислить подгруппу").clicked() {
+            self.subgroups.clear();
+            if self.n % self.q != 0 {
+                self.state = State::Error("q не является делителем n");
+            }
+            else {
+                self.subgroups = calculate_subgroups(self.n);
+                for (_, sg) in &self.subgroups {
+                    if sg.len() == self.q as usize {
+                        self.subgroup = sg.clone();
+                        break;
+                    }
+                }
+                self.state = State::Done1;
+            }
+        }
+        if ui.button("Вычислить все подгруппы").clicked() {
+            self.subgroups.clear();
+            if self.n % self.q != 0 {
+                self.state = State::Error("q не является делителем n");
+            }
+            else {
+                self.subgroups = calculate_subgroups(self.n);
+                self.state = State::Done2;
+            }
+        }
+        match self.state {
+            State::Clean => {},
+            State::Done1 => {
+                ui.label(format!("Вычисленная подгруппа: {:?}", self.subgroup));
+            },
+            State::Done2 => {
+                for (gen, set) in self.subgroups.iter() {
+                    ui.label(format!("Подгруппа {:?} с генератором {}", set, gen));
+                }
+            },
+            State::Error(msg) => { ui.label(msg); },
+        }
+    }
+}
+
+fn powmod(x: u32, n: u32, m: u32) -> u32 {
+    let mut res = 0;
+    for _ in 0..n {
+        res = (res + x) % m;
+    }
+    return res;
+}
+
+fn calculate_subgroups(n: u32) -> HashMap<u32, Vec<u32>> {
+    let mut subgroups = HashMap::new();
+    for i in 0..n {
+        let mut group = HashSet::new();
+        group.insert(i);
+        for p in 2..=n {
+            let power = powmod(i, p, n);
+            group.insert(power);
+        }
+        let mut vec = group.drain().collect::<Vec<u32>>();
+        vec.sort();
+        subgroups.insert(i as u32, vec);
+    }
+    return subgroups;
+}