Vector3d

Vector3d is used for three-dimensional points and vectors. More...

Functions
	Vector3d ()
	Default constructor. X=Y=Z=0.
	Vector3d (const Vector3d &rightHandSide)
	Constructor. X=rightHandSide.X, Y=rightHandSide.Y, Z=rightHandSide.Z.
	Vector3d (double x, double y, double z)
	Constructor. X=x, Y=y, Z=z.
Vector3d	Cross (const Vector3d &rightHandSide) const
	Cross Product. Vector.X = this.Y*rightHandSide.z - this.Z*rightHandSide.Y Vector.Y = this.Z*rightHandSide.X - this.X*rightHandSide.Z Vector.Z = this.X*rightHandSide.Y - this.Y*rightHandSide.X.
double	Dot (const Vector3d &rightHandSide) const
	Dot Product. this.X*rightHandSide.X + this.Y*rightHandSide.Y + this.Z*rightHandSide.Z.
bool	Equals (const Vector3d &rightHandSide, const double tolerance) const
	Checks whether this.X==rightHandSide.X && this.Y==rightHandSide.Y && this.Z==rightHandSide.Z within tolerance abs(a-b) < tolerance.
Vector3d	Inverse () const
	Returns an inverted copy of this. this * this.inverse() = I.
double	Length () const
	Returns the length of the vector. Aka the magnitude =sqrt(SumSquares).
Vector3d	Normal () const
	Returns a normalized copy of this.
Vector3d &	Normalize ()
	Normalizes this.
bool	operator!= (const Vector3d &rightHandSide) const
	Returns whether this is not exactly equal to rightHandSide.
Vector3d	operator* (double scalar) const
	Returns a Vector3d scaled scaled by. X*scalar, Y*scalar, Z*scalar.
Vector3d &	operator*= (double scalar)
	Scales each element by scalar. X*=scalar, Y*=scalar, Z*=scalar.
Vector3d	operator+ (const Vector3d &rightHandSide) const
	Returns a copy of rightHandSide added to this. this.X+rightHandSide.X, this.Y+rightHandSide.Y, this.Z+rightHandSide.Z.
Vector3d &	operator+= (const Vector3d &rightHandSide)
	Adds rightHandSide to this. this.X+=rightHandSide.X, this.Y+=rightHandSide.Y, this.Z+=rightHandSide.Z.
Vector3d	operator- () const
	Returns a copy of this with elements negated. -X, -Y, -Z.
Vector3d	operator- (const Vector3d &rightHandSide) const
	Returns a copy of rightHandSide subtracted from this. this.X-rightHandSide.X, this.Y-rightHandSide.Y, this.Z-rightHandSide.Z.
Vector3d &	operator-= (const Vector3d &rightHandSide)
	Subtracts rightHandSide from this. this.X-=rightHandSide.X, this.Y-=rightHandSide.Y, this.Z-=rightHandSide.Z.
Vector3d	operator/ (double scalar) const
	Returns a Vector3d scaled scaled by. X/scalar, Y/scalar, Z/scalar.
Vector3d &	operator/= (double scalar)
	Scales each element by scalar. X/=scalar, Y/=scalar, Z/=scalar.
Vector3d &	operator= (const Vector3d &rightHandSide)
	Sets this = rightHandSide.
bool	operator== (const Vector3d &rightHandSide) const
	Returns whether this is exactly equal to rightHandSide.
Vector3d &	Set (const Vector3d &rightHandSide)
	Sets X=rightHandSide.X, Y=rightHandSide.Y, Z=rightHandSide.Z.
Vector3d &	Set (double x, double y, double z)
	Sets X=x, Y=y, Z=z.
double	SumSquares () const
	Returns the sum of squares. X*X+Y*Y+Z*Z.

Attributes
double	X
	The X coordinate.
double	Y
	The Y coordinate.
double	Z
	The Z coordinate.

Description

Definition at line 113 of file cartesianrobot.h.