#include <Arduino.h>

#define NUM_LEDS 8
#define ANIMATION_DURATION 800  // 1 second for the movement
#define HOLD_DURATION 200       // 0.5 seconds to hold after movement
#define OFF_DURATION 200        // 0.5 seconds off before repeating

// Define the digital output pins for the LEDs
int ledPins[NUM_LEDS] = {2, 3, 4, 5, 6, 7, 8, 9};

// Define the array to store LED states at each step of the animation
int numSteps = 20;  // Number of steps to approximate the bezier curve
int ledState[20][NUM_LEDS];

// Cubic Bezier function to calculate the point at a given time t
float cubicBezier(float t, float p0, float p1, float p2, float p3) {
    float u = 1 - t;
    float tt = t * t;
    float uu = u * u;
    float ttt = tt * t;
    float uuu = uu * u;

    // Calculate the Bezier curve's point at time `t`
    float x = (uuu * p0) + (3 * uu * t * p1) + (3 * u * tt * p2) + (ttt * p3);
    return x;
}

// Setup function to initialize the LEDs and create the animation array
void setup() {
    // Set the LED pins as output
    for (int i = 0; i < NUM_LEDS; i++) {
        pinMode(ledPins[i], OUTPUT);
    }

    // Create the animation array based on the cubic-bezier function
    float p0 = 0;  // Start point
    float p1 = 0.1;  // Control point 1
    float p2 = 5;  // Control point 2
    float p3 = 2;  // End point

    for (int i = 0; i < numSteps; i++) {
        float t = (float)i / (numSteps - 1);
        float x = cubicBezier(t, p0, p1, p2, p3) * (NUM_LEDS - 1);

        int ledIndex = round(x);
        for (int j = 0; j < NUM_LEDS; j++) {
            ledState[i][j] = (j <= ledIndex) ? HIGH : LOW;
        }
    }
}

// Loop function to run the animation
void loop() {
    // Run the animation for the specified duration
    unsigned long startTime = millis();
    unsigned long elapsed = 0;

    while (elapsed < ANIMATION_DURATION) {
        elapsed = millis() - startTime;
        int step = map(elapsed, 0, ANIMATION_DURATION, 0, numSteps - 1);

        // Set the LED states based on the current step in the animation array
        for (int i = 0; i < NUM_LEDS; i++) {
            digitalWrite(ledPins[i], ledState[step][i]);
        }
    }

    // Hold all LEDs for the specified duration
    delay(HOLD_DURATION);

    // Turn off all LEDs
    for (int i = 0; i < NUM_LEDS; i++) {
        digitalWrite(ledPins[i], LOW);
    }

    // Wait for the off duration
    delay(OFF_DURATION);
}