Vector2

Defines a 2D vector class with operators.

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AUTHORS

CHANGES LOG

GOALS

USAGE

Class Summary

class Vector2

{

public:
real	norm() const;
real	norm2() const;
real	dist(const Vector2& p) const;
real	dist2(const Vector2& p) const;
friend Vector2	operator+(const Vector2 &, const Vector2 &);
friend Vector2	operator-(const Vector2 &, const Vector2 &);
friend Vector2	operator-(const Vector2 &);
friend real	operator*(const Vector2 &, const Vector2 &);
friend Vector2	operator*(const Vector2 &, const real &);
friend Vector2	operator*(const real &, const Vector2 &);
friend Vector2	operator/(const Vector2 &, const real &);
friend real	operator\|(const Vector2 &, const Vector2 &);
friend real	operator^(const Vector2 &, const Vector2 &);
Vector2&	operator+=(const Vector2 &);
Vector2&	operator-=(const Vector2 &);
Vector2&	operator*=(const real& m);
Vector2&	operator/=(const real &m);
friend ostream&	operator<<(ostream& s, const Vector2& v);
protected:

}; // Vector2

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AUTHORS

Zipi Fligelman. (zipo@math.tau.ac.il)

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CHANGES LOG

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GOALS

Though most of the work here is done in 3d, there is sometime need for a 2D reference, for example surfaces in a sense are essentially 2D objects. Also if one is using an affin transformation from 3D to 2D.

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USAGE

Many 2D vector operations are supplied including vector addition and subtraction, dot-product mult., multiplication by scalar, distance and angular operators.

A new Vector2 may be constructed using 2 floats or an array of 2 floats.

    Vector3 unit1(1.0, 0.0);
    float x[2] = {0.0, 1.0};
    Vector3 unit2(x);

Coordinates may be accessed using the x(int) method which returns the vector's given coordinate (1,2) or using the [] operator (0,1).

    if (unit1[0] == 1.0 && unit1[1] == 0.0)  cout << "the E1 vector\n";
    if (unit2[0] != 0.0) cout << "FATAL Error!!!\n";

Addition, subtraction, multiplication and division by scalar, dot-product distance, angle.

    w = u+v;                           // addition
    w-= v;                             // in-place subtraction w==u
    if ((w|u) == 0) cout << "OK\n";    // distance operator |
    if (w^u == 0) cout << "OK\n";      // angle operator ^
    w=2*w;                             // multiplicatio by scalar
    float f=w*v;                       // dot-product;

Notice: there is no cross product in 2D

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real norm() const;

Return Vector2's distance from origin.

  real norm() const;

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real norm2() const;

Return Vector2's squared distance ffrom origin.

  real norm2() const;

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real dist(const Vector2& p) const;

Returns Vector2's distance from Vector2 p.

  real dist(const Vector2& p) const;

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real dist2(const Vector2& p) const;

returns Vector2's squared distance from another Vector2 p.

  real dist2(const Vector2& p) const;

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friend Vector2 operator+(const Vector2 &, const Vector2 &);

Returns Vector2 addition of two Vector2s.

  friend Vector2 operator+(const Vector2 &, const Vector2 &);

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friend Vector2 operator-(const Vector2 &, const Vector2 &);

Returns Vector2 subtraction of two Vector2s.

  friend Vector2 operator-(const Vector2 &, const Vector2 &);

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friend Vector2 operator-(const Vector2 &);

Returns Vector2 negative.

  friend Vector2 operator-(const Vector2 &);

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friend real operator*(const Vector2 &, const Vector2 &);

Returns dot product of two Vector2s.

  friend real operator*(const Vector2 &, const Vector2 &);

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friend Vector2 operator*(const Vector2 &, const real &);

Returns vector multiplied by scalar m.

  friend Vector2 operator*(const Vector2 &, const real &);

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friend Vector2 operator*(const real &, const Vector2 &);

Returns vector multiplied by scalar m.

  friend Vector2 operator*(const real &, const Vector2 &);

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friend Vector2 operator/(const Vector2 &, const real &);

Returns vector divided by scalar m.

  friend Vector2 operator/(const Vector2 &, const real &);

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friend real operator|(const Vector2 &, const Vector2 &);

Returns distance between 2 Vector2s (similar to dist).

  friend real operator|(const Vector2 &, const Vector2 &);

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friend real operator^(const Vector2 &, const Vector2 &);

Returns angle between p1 and p2 in radians.

  friend real operator^(const Vector2 &, const Vector2 &);

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Vector2& operator+=(const Vector2 &);

Vector2 addition of another Vector2's coordinates.

  Vector2& operator+=(const Vector2 &);

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Vector2& operator-=(const Vector2 &);

Vector2 subtraction of another Vector2's coordinates.

  Vector2& operator-=(const Vector2 &);

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Vector2& operator*=(const real& m);

Multiplies coordinates by scalar m.

  Vector2& operator*=(const real& m);

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Vector2& operator/=(const real &m);

Divides coordinates by scalar m.

  Vector2& operator/=(const real &m);

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friend ostream& operator<<(ostream& s, const Vector2& v);

Outputs coordinates delimited by single space.

  friend ostream& operator<<(ostream& s, const Vector2& v);

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All Members

public:
real	norm() const;
real	norm2() const;
real	dist(const Vector2& p) const;
real	dist2(const Vector2& p) const;
friend Vector2	operator+(const Vector2 &, const Vector2 &);
friend Vector2	operator-(const Vector2 &, const Vector2 &);
friend Vector2	operator-(const Vector2 &);
friend real	operator*(const Vector2 &, const Vector2 &);
friend Vector2	operator*(const Vector2 &, const real &);
friend Vector2	operator*(const real &, const Vector2 &);
friend Vector2	operator/(const Vector2 &, const real &);
friend real	operator\|(const Vector2 &, const Vector2 &);
friend real	operator^(const Vector2 &, const Vector2 &);
Vector2&	operator+=(const Vector2 &);
Vector2&	operator-=(const Vector2 &);
Vector2&	operator*=(const real& m);
Vector2&	operator/=(const real &m);
friend ostream&	operator<<(ostream& s, const Vector2& v);
protected:

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Ancestors

Class does not inherit from any other class.

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Descendants

Class is not inherited by any others.

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