studies/grafik/Computergrafik-Code2/Aufgabe4/vector.h
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6 #ifndef VECTOR_H
7 #define VECTOR_H
8
9 #include <math.h>
10 #include <iostream.h>
11
12 class Vector {
13 public:
14 Vector(double x=0, double y=0, double z=0);
15
16 double operator[](int i) const;
17 double& operator[](int i);
18
19 Vector operator+(const Vector& w) const;
20 Vector operator*(double f) const;
21 friend Vector operator*(double f, const Vector& w);
22 Vector operator*(const Vector& w) const;
23
24 void normalize();
25
26 friend double dotProduct(const Vector& v, const Vector& w);
27 friend double length(const Vector& v);
28
29 friend ostream& operator<<(ostream& o, const Vector& w);
30 friend istream& operator>>(istream& i, Vector& w);
31
32 private:
33 double vec[3];
34 };
35
36 inline Vector::Vector(double x, double y, double z) {
37 vec[0] = x;
38 vec[1] = y;
39 vec[2] = z;
40 }
41
42 inline double Vector::operator[](int i) const { return vec[i]; }
43
44 inline double& Vector::operator[](int i) { return vec[i]; }
45
46 inline Vector Vector::operator+(const Vector& w) const {
47 return Vector(vec[0] + w[0], vec[1] + w[1], vec[2] + w[2]);
48 }
49
50 inline Vector Vector::operator*(double f) const {
51 return Vector(vec[0]*f, vec[1]*f, vec[2]*f);
52 }
53
54 inline Vector Vector::operator*(const Vector& w) const {
55 return Vector(vec[1] * w.vec[2] - vec[2] * w.vec[1],
56 vec[2] * w.vec[0] - vec[0] * w.vec[2],
57 vec[0] * w.vec[1] - vec[1] * w.vec[0]);
58 }
59
60 inline Vector operator*(double f, const Vector& w) {
61 return Vector(w.vec[0]*f, w.vec[1]*f, w.vec[2]*f);
62 }
63
64 inline void Vector::normalize() {
65 double l = length(*this);
66
67 vec[0] /= l;
68 vec[1] /= l;
69 vec[2] /= l;
70 }
71
72 inline double dotProduct(const Vector& v, const Vector& w) {
73 return v.vec[0] * w.vec[0] + v.vec[1] * w.vec[1] + v.vec[2] * w.vec[2];
74 }
75
76 inline double length(const Vector& v) {
77 return sqrt(dotProduct(v,v));
78 }
79
80 #endif // VECTOR_H
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