The mathematical object vector. More...

Inheritance diagram for SVector:

Public Slots
SVector	Add (SVector Vecteur)
	Calculates the sum of the current vector and another vector. More...

static Number	Angle (SVector V1, SVector V2)
	Compute the angle in degrees between two 3D vectors. More...

	ApplyTransformation (SMatrix iMatrix)
	To apply a geometric transformation to the current object by making a product with the given matrix. More...

static SVector	Cross (SVector V1, SVector V2)
	Make the 3D vectorial product of two 3D vectors (cross product). More...

SVector	Div (Number Div)
	To divide a vector by a value. More...

static Number	Dot (SVector V1, SVector V2)
	Make the scalar product of two 3D vectors (dot product). More...

Boolean	Equals (SVector VectToCompare)

Number	GetLength ()

Number	GetX ()

Number	GetY ()

Number	GetZ ()

Boolean	IsNull ()

SVector	Mult (Number Multiplicateur)
	To multiply the current vector with a scalar value. More...

static SVector	New ()
	Default constructor to initialize all values with zero. More...

static SVector	New (Number X, Number Y, Number Z)
	Constructs a new SVector by defining its data. More...

static SVector	New (SPoint EndPt)
	Constructor from one point. The result is the vector between the origin (0,0,0) and the point EndPt. More...

static SVector	New (SPoint StartPt, SPoint EndPt)
	Constructor which initializes the vector between a starting point and an ending point. In other words the vector is initialized to EndPt-StartPt. More...

static SVector	New (SVector Other)
	Constructs an SVector by copying the SVector Other. More...

	Opposite ()
	Calculates a vector's opposite. More...

SVector	SetNormed ()
	Modifies the 3D vector to have its norm equal to 1. More...

	SetX (Number X)
	Sets the X coordinate. More...

	SetY (Number Y)
	Sets the Y coordinate. More...

	SetZ (Number Z)
	Sets the Z coordinate. More...

SVector	Sub (SVector Vecteur)
	Calculates the subtraction of the current vector by another vector. More...

String	toString ()
	Get the type of the variable. More...

static String	toString ()
	Get the type of the variable. More...

String	ValuesToString ()
	Get a string representation of the vector. More...

Public Slots inherited from SObject
	Clear ()
	To deallocate memory of the object. More...

String	toString ()
	Get the type of the variable. More...

Detailed Description

The mathematical object vector.

The SVector class provides mathematical vector manipulation.
The SVector creation can be done by calling the static functions:

New() to create your own empty SVector.
New() to copy an existing SVector.
New() to create a new SVector with custom data : either X/Y/Z coordinates, or 2 points, or 1 point.

Member Function Documentation

◆ Add

SVector SVector::Add ( SVector Vecteur )

slot

Calculates the sum of the current vector and another vector.

Returns: The sum of the current vector and another vector

var myVector = SVector.New(7, 7, 7);

myVector = myVector.Add(SVector.New(3, 3, 3)); // myVector == (10, 10, 10) now

◆ Angle

static Number SVector::Angle	(	SVector	V1,
		SVector	V2
	)

staticslot

Compute the angle in degrees between two 3D vectors.

Warning: throw an exception if V1 or V2 is null

Return values

The	angle between the 2 vectors (degrees).

◆ ApplyTransformation

SVector::ApplyTransformation ( SMatrix iMatrix )

slot

To apply a geometric transformation to the current object by making a product with the given matrix.

See also: Translate

◆ Cross

static SVector SVector::Cross	(	SVector	V1,
		SVector	V2
	)

staticslot

Make the 3D vectorial product of two 3D vectors (cross product).

Returns: The vector V1^V2 is returned.

◆ Div

SVector SVector::Div ( Number Div )

slot

To divide a vector by a value.

var myVector = SVector.New(4, 4, 4);

myVector = myVector.Div(2); // myVector == (2, 2, 2) now

◆ Dot

static Number SVector::Dot	(	SVector	V1,
		SVector	V2
	)

staticslot

Make the scalar product of two 3D vectors (dot product).

Returns: The scalar product V1*V2

Parameters

[in]	V1	First vector
[in]	V2	Second vector

◆ Equals

Boolean SVector::Equals ( SVector VectToCompare )

slot

Return values

true	Vectors are equal (nearly to epsilon)
false	Vectors are not equal (nearly to epsilon)

◆ GetLength

Number SVector::GetLength ( )

slot

Returns: The length of the vector

◆ GetX

Number SVector::GetX ( )

slot

Returns: The X coordinate.

◆ GetY

Number SVector::GetY ( )

slot

Returns: The Y coordinate.

◆ GetZ

Number SVector::GetZ ( )

slot

Returns: The Z coordinate.

◆ IsNull

Boolean SVector::IsNull ( )

slot

Return values

true	Vector is null
false	Vector is not null

◆ Mult

SVector SVector::Mult ( Number Multiplicateur )

slot

To multiply the current vector with a scalar value.

Returns: The product of a vector by a scalar

var myVector = SVector.New(1, 1, 1);

myVector = myVector.Mult(7); // myVector == (7, 7, 7) now

◆ New [1/5]

static SVector SVector::New ( )

staticslot

Default constructor to initialize all values with zero.

◆ New [2/5]

static SVector SVector::New	(	Number	X,
		Number	Y,
		Number	Z
	)

staticslot

Constructs a new SVector by defining its data.

Parameters

[in]	X	The X coordinate
[in]	Y	The Y coordinate
[in]	Z	The Z coordinate

◆ New [3/5]

static SVector SVector::New ( SPoint EndPt )

staticslot

Constructor from one point. The result is the vector between the origin (0,0,0) and the point EndPt.

◆ New [4/5]

static SVector SVector::New	(	SPoint	StartPt,
		SPoint	EndPt
	)

staticslot

Constructor which initializes the vector between a starting point and an ending point.
In other words the vector is initialized to EndPt-StartPt.

◆ New [5/5]

static SVector SVector::New ( SVector Other )

staticslot

Constructs an SVector by copying the SVector Other.

◆ Opposite

SVector::Opposite ( )

slot

Calculates a vector's opposite.

◆ SetNormed

SVector SVector::SetNormed ( )

slot

Modifies the 3D vector to have its norm equal to 1.

Returns: The current modified vector.

◆ SetX

SVector::SetX ( Number X )

slot

Sets the X coordinate.

◆ SetY

SVector::SetY ( Number Y )

slot

Sets the Y coordinate.

◆ SetZ

SVector::SetZ ( Number Z )

slot

Sets the Z coordinate.

◆ Sub

SVector SVector::Sub ( SVector Vecteur )

slot

Calculates the subtraction of the current vector by another vector.

Returns: The subtraction of the current vector and another vector

var myVector = SVector.New(7, 7, 7);

myVector = myVector.Sub(SVector.New(2, 2, 2)); // myVector == (5, 5, 5) now

◆ toString [1/2]

String SVector::toString ( )

slot

Get the type of the variable.

◆ toString [2/2]

static String SVector::toString ( )

staticslot

Get the type of the variable.

◆ ValuesToString

String SVector::ValuesToString ( )

slot

Get a string representation of the vector.

Public Slots

Detailed Description

Member Function Documentation

◆ Add

◆ Angle

◆ ApplyTransformation

◆ Cross

◆ Div

◆ Dot

◆ Equals

◆ GetLength

◆ GetX

◆ GetY

◆ GetZ

◆ IsNull

◆ Mult

◆ New [1/5]

◆ New [2/5]

◆ New [3/5]

◆ New [4/5]

◆ New [5/5]

◆ Opposite

◆ SetNormed

◆ SetX

◆ SetY

◆ SetZ

◆ Sub

◆ toString [1/2]

◆ toString [2/2]

◆ ValuesToString