#include <library.h>


void count_down_from(const int N)
{ print(N);
  new_line();
  if (N > 0)
    count_down_from(N - 1); }

// void main()
// { count_down_from(21); }


void count_up(const int A, const int B)
   // A = start point, B = end point
{ print(A);
  new_line();
  if (A < B)
    count_up(A + 1, B); }

// void main()
// { count_up(1, 21); }


void tabulate(const double A, const double B, const double step)
   // A = start point, B = end point
{ print(A);
  print("  ");
  print(sqrt(1.1 + sin(A*A)));
  new_line();
  if (A < B)
    tabulate(A + step, B, step); }

void main()
{ print("These are the values of the square root of (1.1 plus the sine of (x squared))\n");
  print("with x varying from 0 to 20\n\n");
  tabulate(0, 20, 0.1); }