#include <Adafruit_GFX.h>
#include <Adafruit_ILI9341.h>
#include <SPI.h>
#include <Button.h>
#include <math.h>

#define TFT_DC 2
#define TFT_CS 15
#define BUTTON_SIGNAL1 0
#define BUTTON_SIGNAL2 5
#define BUTTON_SIGNAL3 14
#define BUTTON_SIGNAL4 12
#define TFT_WIDTH 320
#define TFT_HEIGHT 240
#define SIGNAL_CLEAR_DELAY 10

Adafruit_ILI9341 tft = Adafruit_ILI9341(TFT_CS, TFT_DC);
Button buttonSignal1(BUTTON_SIGNAL1);
Button buttonSignal2(BUTTON_SIGNAL2);
Button buttonSignal3(BUTTON_SIGNAL3);
Button buttonSignal4(BUTTON_SIGNAL4);
volatile bool signalRequested = false;
volatile int requestedSignalNumber = 0;

void setup() {
  Serial.begin(9600);
  tft.begin();
  tft.setRotation(1);
  tft.fillScreen(ILI9341_BLACK);
  tft.setTextColor(ILI9341_WHITE);
  tft.setTextSize(3);

  buttonSignal1.begin();
  buttonSignal2.begin();
  buttonSignal3.begin();
  buttonSignal4.begin();
}

void loop() {
  if (buttonSignal1.pressed()) {
    requestedSignalNumber = 1;
    signalRequested = true;
  } else if (buttonSignal2.pressed()) {
    requestedSignalNumber = 2;
    signalRequested = true;
  } else if (buttonSignal3.pressed()) {
    requestedSignalNumber = 3;
    signalRequested = true;
  } else if (buttonSignal4.pressed()) {
    requestedSignalNumber = 4;
    signalRequested = true;
  }

  if (signalRequested) {
    signalRequested = false;

    // Effacer la première moitié de l'écran
    
    // Afficher le signal demandé
    switch (requestedSignalNumber) {
      case 1:
        drawSignal(ILI9341_YELLOW, calculateCombinedSignal1);
        break;
      case 2:
        drawSignal(ILI9341_GREEN, calculateCombinedSignal2);
        break;
      case 3:
        drawSignal(ILI9341_RED, calculateCombinedSignal3);
        break;
      case 4:
        drawSignal(ILI9341_CYAN, calculateCombinedSignal4);
        break;
      default:
        break;
    }
    for (int x = 0; x < TFT_WIDTH; x++) {
      for (int y = 0; y < TFT_HEIGHT; y++) {
        tft.drawPixel(x, y, ILI9341_BLACK);
      }
    }
  }
  
}

void drawSignal(uint16_t color, float (*calculateSignal)(int)) {
  for (int x = 0; x < TFT_WIDTH - 1; x++) {
    float y = calculateSignal(x);
    float y_next = calculateSignal(x + 1);
    tft.drawLine(x, y, x, y_next, color);
  }
}

// Définition des fonctions calculateCombinedSignal1, calculateCombinedSignal2, calculateCombinedSignal3, calculateCombinedSignal4


 
float calculateCombinedSignal1(int x) {
  float s = 0;
  int offset = 1;

  while (true) { // Boucle infinie
    float onde_P = -(1 / 0.4) * exp(-pow((x - 20 - offset), 2) / pow(8, 2));
    float onde_Q = (1.4 / 0.4) * exp(-pow((x - 42 - offset), 2) / 1.5);
    float onde_R = -(4 / 0.2) * exp(-pow((x - 47.35 - offset), 2) / pow(2.5, 2));
    float onde_S = (1 / 0.2) * exp(-pow((x - 50.9 - offset), 2) / pow(1.5, 2));
    float onde_T = -(1 / 0.3) * exp(-pow((x - 85 - offset), 2) / 80);
    s += (onde_P + onde_Q + onde_R + onde_S + onde_T);
    
    offset += 120;

    // Sortir de la boucle si nécessaire
    if (offset > 1000) {
      break; // Sortir de la boucle infinie lorsque offset dépasse 900
    }
  }

  // Additionner les composantes des signaux
  return (s * 6) + TFT_HEIGHT / 2 + 20;
}

float calculateCombinedSignal2(int x) {
  float s2 = 0;
  int offset = 1;

  while (true) { // Boucle infinie
  float y1 = -(3.5/ 0.25) * exp(-pow((x - 15-offset), 2) / pow(4, 2));
  float y2 = (7) * exp(-pow((x - 20-offset), 2) / pow(8, 2));
  float y3 = -(2) * exp(-pow((x -20.2-offset), 2) / pow(6, 2));
  s2+=y1+y2+y3;
   offset += 100;

    // Sortir de la boucle si nécessaire
    if (offset > 1000) {
      break; // Sortir de la boucle infinie lorsque offset dépasse 900
    }
  }
 return 0.4 *s2* 10 + TFT_HEIGHT / 2; // Scale and shift the result for display
}
float calculateCombinedSignal3(int x) {
  float s3 = 0;
  int offset = 1;

  while (true) { // Boucle infinie
  float y1 = -(0.4 / 2.5) * exp(-pow((x - 12-offset), 2) / pow(6, 2));
  float y2 = -(0.5 / 5) * exp(-pow((x - 25.5-offset), 2) / pow(3, 2));
  float y3 = -(0.4 / 5) * exp(-pow((x - 35-offset), 2) / pow(2, 2));
  float y4 = (0.7 / 5) * exp(-pow((x - 40-offset), 2) / pow(2, 2));
  float y5 = -(0.6 / 9) * exp(-pow((x - 50-offset), 2) / 15);
  float y6 = -(0.7 / 3.0) * exp(-pow((x - 60-offset), 2) / pow(12, 2));
  s3+=y1 - y2 + y3 + y4 + y5 + y6;
  offset += 90;

    // Sortir de la boucle si nécessaire
    if (offset > 1000) {
      break; // Sortir de la boucle infinie lorsque offset dépasse 900
    }
  }

  return (s3) * 15 + TFT_HEIGHT / 2;
}

float calculateCombinedSignal4(int x) {
  float sum_y34 = 0;
  for (int n = 1; n <= 400; n += 15) {
    float y3 = -(3.0 / 0.2) * exp(-pow((x - (5 + n)), 2) / pow(2, 2));
    float y4 = (0.8) * exp(-pow((x - (8 + n) ), 2) / pow(9,2));
    sum_y34 += y3 + y4;
  }
  return (sum_y34 * 5) + TFT_HEIGHT / 2;
}