#include "motion.h"
#include <math.h>

/*
 * Here, we calculate the initial speed
 * Where alpha is the initial launch angle
 * speed is the initial speed
 * and c defined if we calculate for x or y
 */
double calculate_initial_speed(double alpha, double speed, const char c) {
  // We calculated the v0 of x
  if (c == 'x')
    return speed * cos(alpha);
  // Otherwise, we calculated the v0 of y
  else
    return speed * sin(alpha);
}
/*
 * This function calcul the during of the time before the projectile have reach the ground
 * Where v is the initial speed of xor y
 * and grav is the gravitational force
 */
 double calculate_delta_t(double v, double grav){
   return (2 * v) / grav;
 }
/*
 * This function calcul the distance total of the projectile
 * Where v is the initial speed of Vx
 * and deltat is the result total time of flight
 */
 double calculate_total_distance(double v, double deltat){
   return v * deltat;
 }
 /*
  * This function calcul the height max of the Projectile
  * Where vx and xy are the initial speeds
  * and grav is the gravitational force
  */
double calculate_height_max(double vx, double vy, double grav){
    return (pow(vx, 2) - pow(vy, 2)) / (2 * -grav);
}
/*
 * This function convert the degree in radian
 */
double degree_to_radian(double degree){
  return degree * M_PI / 180;
}