DD::Image::Vector3 Class Reference

Public Member Functions
float &	operator[] (int i)
const float &	operator[] (int i) const
const float *	array () const
	Vector3 (const float v[3])
	Vector3 (const double v[3])
	Vector3 (float a, float b, float c)
void	set (float a, float b, float c)
Vector3	operator* (float d) const
Vector3 &	operator*= (float d)
Vector3	operator* (double d) const
Vector3 &	operator*= (double d)
Vector3	operator/ (float d) const
Vector3 &	operator/= (float d)
Vector3	operator* (const Vector3 &v) const
Vector3 &	operator*= (const Vector3 &v)
Vector3	operator/ (const Vector3 &v) const
Vector3 &	operator/= (const Vector3 &v)
Vector3	operator+ (const Vector3 &v) const
Vector3 &	operator+= (const Vector3 &v)
Vector3	operator- (const Vector3 &v) const
Vector3 &	operator-= (const Vector3 &v)
Vector3	operator- () const
bool	operator== (const Vector3 &v) const
bool	operator!= (const Vector3 &v) const
bool	operator== (float d) const
bool	operator!= (float d) const
bool	operator< (const Vector3 &v) const
	Fairly arbitrary operator so you can store these in ordered arrays.
float	length () const
float	lengthSquared () const
	Same as this dot this, length() squared.
float	distanceBetween (const Vector3 &v) const
float	distanceSquared (const Vector3 &v) const
float	dot (const Vector3 &v) const
Vector3	cross (const Vector3 &v) const
float	normalize ()
float	fast_normalize ()
void	negate ()
float	distanceFromPlane (float A, float B, float C, float D) const
Vector3	reflect (const Vector3 &N)
Vector3	minimum (const Vector3 &a) const
Vector3	maximum (const Vector3 &a) const
void	append (Hash &) const

Public Attributes
float	x
float	y
float	z

Friends
std::ostream &	operator<< (std::ostream &o, const Vector3 &)

Detailed Description

3-component vector, used to represent a point or distance in 3D space.

This object is in general compatible with the SbVec3 template in the Inventor library. However it allows direct access to the x,y,z members, which imho makes math using this much easier to read.

Constructor & Destructor Documentation

DD::Image::Vector3::Vector3 ( const float  v[3] )

inline

Constructor from an array of numbers.

DD::Image::Vector3::Vector3 ( const double  v[3] )

inline

Constructor from an array of numbers.

DD::Image::Vector3::Vector3 ( float  a, float  b, float  c  )

inline

Constructor that sets all 4 numbers

Member Function Documentation

float& DD::Image::Vector3::operator[] ( int  i )

inline

vector[0] is x, vector[1] is y, vector[2] is z.

const float& DD::Image::Vector3::operator[] ( int  i ) const

inline

vector[0] is x, vector[1] is y, vector[2] is z.

const float* DD::Image::Vector3::array ( ) const

inline

Returns a ponter that can be passed to OpenGL

Referenced by DD::Image::Primitive::draw_normal(), DD::Image::Triangle::draw_solid_face(), DD::Image::Primitive::draw_solid_face(), DD::Image::Primitive::draw_solid_vertex(), and DD::Image::Primitive::draw_wireframe_vertex().

void DD::Image::Vector3::set ( float  a, float  b, float  c  )

inline

Change all of xyz.

Referenced by DD::Image::Material::engine(), DD::Image::Scene::Scene(), and DD::Image::Mesh::validate().

Vector3 DD::Image::Vector3::operator* ( float  d ) const

inline

Multiplies all 3 numbers. This will scale the length().

Vector3 DD::Image::Vector3::operator/ ( float  d ) const

inline

Divides all 3 numbers. This will scale the length().

Vector3 DD::Image::Vector3::operator* ( const Vector3 &  v ) const

inline

Component-wise multiplication, useful for colors.

Vector3 DD::Image::Vector3::operator/ ( const Vector3 &  v ) const

inline

Component-wise division, useful for colors.

Vector3 DD::Image::Vector3::operator+ ( const Vector3 &  v ) const

inline

Addition

Vector3 DD::Image::Vector3::operator- ( const Vector3 &  v ) const

inline

Subtraction

float DD::Image::Vector3::length ( ) const

inline

Also known as the absolute value or magnitude of the vector.

Referenced by DD::Image::Matrix4::extractAndRemoveScalingAndShear(), DD::Image::Random::randomUnitVector(), DD::Image::Random::randomUnitVectorXY(), and DD::Image::Random::randomVector().

float DD::Image::Vector3::distanceBetween ( const Vector3 &  v ) const

inline

Same as (this-v).length()

float DD::Image::Vector3::distanceSquared ( const Vector3 &  v ) const

inline

Same as (this-v).lengthSquared()

float DD::Image::Vector3::dot ( const Vector3 &  v ) const

inline

Dot product. Twice the area of the triangle between the vectors.

Referenced by DD::Image::Plane::distance(), DD::Image::Matrix4::extractAndRemoveScalingAndShear(), DD::Image::ComplexLightOp::get_color(), DD::Image::LightOp::get_shadowing(), and DD::Image::Plane::Plane().

Vector3 DD::Image::Vector3::cross ( const Vector3 &  v ) const

inline

Cross product. This is a vector at right angles to the vectors with a length equal to the product of the lengths.

Referenced by DD::Image::Plane::Plane().

float DD::Image::Vector3::normalize ( )

inline

Change the vector to be unit length. Returns the original length.

Referenced by DD::Image::Mesh::get_face_normal(), DD::Image::ComplexLightOp::get_L_vector(), DD::Image::LightOp::get_L_vector(), DD::Image::LightOp::get_shadowing(), DD::Image::Plane::Plane(), DD::Image::Triangle::validate(), and DD::Image::Mesh::vertex_normal().

float DD::Image::Vector3::fast_normalize ( )

inline

Uwe Behrens' fast-normalize method. Approximate normalization, returns approximate length.

Referenced by DD::Image::Primitive::draw_normal(), DD::Image::ComplexLightOp::get_L_vector(), DD::Image::LightOp::get_L_vector(), and DD::Image::Mesh::validate().

void DD::Image::Vector3::negate ( )

inline

Modifies it in-place, does not return the new value.

void Vector3::append

(

Hash &

hash

)

const

Add this to the Hash object.

Friends And Related Function Documentation

std::ostream& operator<< ( std::ostream &  o, const Vector3 &    )

friend

Writes it in nuke/tcl notation, with nested curly braces