vec_3d.cc

#include <cmath>
#include <iostream>

#include "vec_3d.hh"
using namespace std;

// Pavlos Tziranis, Anastasios, Aldrin
// colaborators
// View "vec_3d.hh" for constructor comments/clarifications

vec_3d::vec_3d(double a = 0, double b = 0, double c = 0): x(a), y(b), z(c) {}  // initialize a vec_3d at the origin (0,0,0)

ostream& operator<<(ostream& s, const vec_3d& v) {
  return s << "(" << v.x << "," << v.y << "," << v.z << ")";  // cout individual values (xyz) of a vec_3d with commas and
                                                              // parentheses
}

vec_3d operator-(vec_3d p, vec_3d k) {
  return vec_3d( p.x - k.x, p.y - k.y,p.z - k.z);   // computes the difference between the respective values in
                                                    // two vectors returning a vector with solutions
}
vec_3d operator+(vec_3d i, vec_3d j) {
  return vec_3d(i.x + j.x, i.y + j.y, i.z + j.z);   // computes the  summation of the respective values
                                                    // in two vectors returning a vector with solutions
}

vec_3d vec_3d::operator-() {return vec_3d(-x, -y, -z);}  // negates the x y and z components of a vector

double dot(const vec_3d a, const vec_3d b) {return a.x * b.x + a.y * b.y + a.z * b.z;}  // computes dot product of two vectors returning a value


double vec_3d::mag() {return sqrt((x * x) + (y * y) + (z * z));}   // magnitude of the vector using summation of components squared inside
                                                                  // sqrt() from library cmath

double vec_3d::magsq() {return (x * x) + (y * y) + (z * z);}  // magnitude of the vector squared to cancel sqrt() from library cmath

double vec_3d::dist(const vec_3d b) {  // computes a traveled distance using the magnitude of the difference between two vectors
  double a = x - b.x, c = y - b.y, d = z - b.z;
  return sqrt(a * a + c * c + d * d);
}