cee::Vec3d

class Vec3d

Vector class for a 3D double vector.

Public Functions

Vec3d(): Constructs a null vector.

Vec3d(const Vec3d &other): Constructs a vector as a copy of other.

Vec3d(double x, double y, double z): Constructs a vector from an x, y and z coordinate.

Vec3d &operator=(const Vec3d &other): Assigns other to this vector and returns a reference to this vector.

bool operator==(const Vec3d &rhs) const

Returns true if two vectors are equal, otherwise returns false.

An exact match is required x() == rhs.x(), etc.

bool operator!=(const Vec3d &rhs) const

Returns true if two vectors are not equal, otherwise returns false.

Exact comparison is used (!= between doubles)

const Vec3d operator+(const Vec3d &rhs) const: Returns a vector that is this vector added with rhs.

const Vec3d operator-(const Vec3d &rhs) const: Returns a vector that is this vector subtracted with rhs.

const Vec3d operator*(double scalar) const: Returns a vector that is this vector multiplied by a given scalar.

const Vec3d operator/(double scalar) const: Returns a vector that is this vector divided by a given scalar.

Vec3d &operator+=(const Vec3d &rhs): Adds the given rhs vector to this.

Vec3d &operator-=(const Vec3d &rhs): Subtracts the given rhs vector from this.

Vec3d &operator*=(double scalar): Multiplies every component of this vector by the given scalar.

Vec3d &operator/=(double scalar): Divides every component of this vector by the given scalar.

double operator*(const Vec3d &rhs) const

Computes the dot product of this and rhs and return the result (scalar)

Formula:

S = tx*rx + ty*ry + tz*rz

const Vec3d operator^(const Vec3d &rhs) const

Computes the cross product of this and rhs and return the result (vector)

Formula:

vec = <ty*rz - tz*ry, tz*rx - tx*rz, tx*ry - ty*rx>

const double &x() const: X element of the vector.

const double &y() const: Y element of the vector.

const double &z() const: Z element of the vector.

double &x(): X element of the vector.

double &y(): Y element of the vector.

double &z(): Z element of the vector.

void set(double x, double y, double z): Sets x, y and z value.

void transformPoint(const Mat4d &m): Transforms this point with the transformation matrix m.

void transformVector(const Mat4d &m): Transforms this vector with the transformation matrix m.

bool normalize()

Normalizes this vector.

Returns false if the vector is a null vector. Otherwise returns true.

double length() const: Returns the length of this vector.

double lengthSquared() const: Returns the length of this vector.

double angle(const Vec3d &other): Returns the angle (in radians) between this vector and the other.

Public Static Functions

static double dot(const Vec3d &v1, const Vec3d &v2)

Returns the dot product of v1 and v2.

Formula:

S = tx*rx + ty*ry + tz*rz

static Vec3d cross(const Vec3d &v1, const Vec3d &v2): Returns the cross-product of vectors v1 and v2, which corresponds to the normal vector of a plane defined by v1 and v2.

Friends

inline friend Vec3d operator*(double scalar, const Vec3d &v): Returns a vector that is the vector v multiplied by a given scalar.