feat: added reference implementation

src/Balls.hpp

@@ -0,0 +1,140 @@
+#pragma once
+
+#include <vector>
+#include <random>
+#include <cmath>
+
+#include <SFML/Graphics.hpp>
+
+struct Ball {
+    sf::CircleShape shape;
+    sf::Vector2f velocity;
+
+    Ball(float x, float y, float radius, sf::Color color, float vx, float vy) {
+        shape.setRadius(radius);
+        shape.setPosition(sf::Vector2f(x, y));
+        shape.setFillColor(color);
+        shape.setOrigin(sf::Vector2f(radius, radius)); // Center origin
+        velocity = sf::Vector2f(vx, vy);
+    }
+};
+
+class BallGame {
+private:
+    // Create balls
+    std::vector<Ball> balls;
+    std::random_device rd;
+    std::mt19937 gen;
+    std::uniform_real_distribution<float> posDist;
+    std::uniform_real_distribution<float> velDist;
+    std::uniform_int_distribution<int> colorDist;
+    std::uniform_real_distribution<float> radiusDist;
+
+public:
+    BallGame::BallGame() {
+        gen = std::mt19937(rd());
+        posDist = std::uniform_real_distribution<float>(5.0f, 795.0f);
+        velDist = std::uniform_real_distribution<float>(-200.0f, 200.0f);
+        colorDist = std::uniform_int_distribution<int>(0, 255);
+        radiusDist = std::uniform_real_distribution<float>(2.5f, 2.5f);
+
+        // Generate random balls
+        for (int i = 0; i < 2500; ++i) {
+            sf::Color randomColor(colorDist(gen), colorDist(gen), colorDist(gen));
+            balls.emplace_back(
+                posDist(gen), posDist(gen),  // position
+                radiusDist(gen),             // radius
+                randomColor,                 // color
+                velDist(gen), velDist(gen)   // velocity
+            );
+        }
+    }
+
+    void updateBalls(const sf::Vector2u& windowSize, float deltaTime) {
+        // Update positions
+        for (auto& ball : balls) {
+            ball.shape.move(ball.velocity * deltaTime);
+        }
+
+        // Handle ball-to-ball collisions
+        for (size_t i = 0; i < balls.size(); ++i) {
+            for (size_t j = i + 1; j < balls.size(); ++j) {
+                Ball& ball1 = balls[i];
+                Ball& ball2 = balls[j];
+
+                sf::Vector2f pos1 = ball1.shape.getPosition();
+                sf::Vector2f pos2 = ball2.shape.getPosition();
+                float radius1 = ball1.shape.getRadius();
+                float radius2 = ball2.shape.getRadius();
+
+                // Calculate distance between centers
+                sf::Vector2f delta = pos2 - pos1;
+                float distance = std::sqrt(delta.x * delta.x + delta.y * delta.y);
+                float minDistance = radius1 + radius2;
+
+                if (distance < minDistance && distance > 0) {
+                    // Normalize collision vector
+                    sf::Vector2f normal = delta / distance;
+
+                    // Separate balls to prevent overlap
+                    float overlap = minDistance - distance;
+                    sf::Vector2f separation = normal * (overlap * 0.5f);
+                    ball1.shape.setPosition(pos1 - separation);
+                    ball2.shape.setPosition(pos2 + separation);
+
+                    // Calculate relative velocity
+                    sf::Vector2f relativeVel = ball2.velocity - ball1.velocity;
+                    float velAlongNormal = relativeVel.x * normal.x + relativeVel.y * normal.y;
+
+                    // Don't resolve if velocities are separating
+                    if (velAlongNormal > 0) continue;
+
+                    // Apply collision response (elastic collision)
+                    float restitution = 0.0f; // Bounce factor (0 = no bounce, 1 = perfect bounce)
+                    float impulse = -(1 + restitution) * velAlongNormal;
+
+                    // Assume equal mass for simplicity
+                    sf::Vector2f impulseVector = impulse * normal;
+                    ball1.velocity -= impulseVector;
+                    ball2.velocity += impulseVector;
+                }
+            }
+        }
+
+        // Handle wall collisions
+        for (auto& ball : balls) {
+            sf::Vector2f pos = ball.shape.getPosition();
+            float radius = ball.shape.getRadius();
+
+            // Bounce off walls
+            if (pos.x - radius <= 0 || pos.x + radius >= windowSize.x) {
+                ball.velocity.x = -ball.velocity.x;
+                // Clamp position to prevent sticking
+                if (pos.x - radius <= 0) {
+                    ball.shape.setPosition(sf::Vector2f(radius, pos.y));
+                }
+                else {
+                    ball.shape.setPosition(sf::Vector2f(windowSize.x - radius, pos.y));
+                }
+            }
+
+            if (pos.y - radius <= 0 || pos.y + radius >= windowSize.y) {
+                ball.velocity.y = -ball.velocity.y;
+                // Clamp position to prevent sticking
+                if (pos.y - radius <= 0) {
+                    ball.shape.setPosition(sf::Vector2f(pos.x, radius));
+                }
+                else {
+                    ball.shape.setPosition(sf::Vector2f(pos.x, windowSize.y - radius));
+                }
+            }
+        }
+    }
+
+    void drawBalls( sf::RenderWindow& window ) const
+    {
+        for (const auto& ball : balls) {
+            window.draw(ball.shape);
+        }
+    }
+};

src/collision_crisis.cpp

@@ -9,7 +9,6 @@
 #include <imgui.h>
 #include <print>
 
-
 void configure(AppConfig &config) {
 	config.window_title = "CHANGEME";
 	config.frame_rate_limit = std::nullopt;
@@ -17,11 +16,7 @@ void configure(AppConfig &config) {
 }
 
 void setup() {
-    ImGui::GetIO().ConfigFlags |= (
+	ImGui::GetIO().ConfigFlags |= (ImGuiConfigFlags_NavEnableKeyboard | ImGuiConfigFlags_NavEnableGamepad | ImGuiConfigFlags_DockingEnable);
-        ImGuiConfigFlags_NavEnableKeyboard
-        | ImGuiConfigFlags_NavEnableGamepad
-        | ImGuiConfigFlags_DockingEnable
-    );
 	sf::View view{get_window().getView()};
 	view.setCenter({0.f, 0.f});
 	set_render_view(view);