#include <stdio.h>
#include <inttypes.h>
#include "freertos/FreeRTOS.h"
#include "freertos/task.h"

#define ESCALA 1000000000 // 9 decimales de presicion

uint32_t factorial(uint8_t);
uint32_t euler(uint8_t);

void app_main() {
  printf("Hello, Wokwi!\n");
  for (uint8_t i = 1; i <= 10; i++)
  {
    uint32_t e_aprox = euler(i);
    uint8_t i_part = (uint8_t)(e_aprox / ESCALA); // Parte entera
    uint32_t d_part = e_aprox - (uint32_t)i_part * ESCALA; // Parte decimal
    printf("Euler aprox of %" PRIu8 " = %" PRIu8 ".%" PRIu32 "\n", i, i_part, d_part);
  }
  while (true) {
    vTaskDelay(1000 / portTICK_PERIOD_MS);
  }
}

uint32_t factorial(uint8_t n)
{
  uint32_t factorial = 1;
  while (n > 0)
  {
    factorial *= n;
    n--;
  }
  return factorial;
}

uint32_t euler(uint8_t n)
{
  uint32_t e_aprox = ESCALA; // 9 decimales de presicion
  while (n > 0)
  {
    e_aprox += ESCALA / factorial(n);
    n--;
  }
  return e_aprox;
}