#include "derived.h"

float magnitude(vector *v) {
  return sqrt(pow(v->a, 2) + pow(v->b, 2));
}

float angle(vector *v) {
  if (v->a == 0)
     return -1;
  else
     return atan(v->b/v->a);
}

int orthogonal(vector *v, float a, float b) {
  return (v->a*a + v->b*b == 0);
}

vector* set_x(vector *v, float r) {
  v->a=r;
}

vector* set_y(vector *v, float r) {
  v->b=r;
}