VL_Math Class Reference

This class provides various mathematical functions. More...

Static Public Member Functions
static Complex	Acos (this Complex complex)
	Returns the angle that is the arc cosine of the specified complex number. More...
static Complex	Asin (this Complex complex)
	Returns the angle that is the arc sine of the specified complex number. More...
static Position	IntersectionLineAndPlane (PositionedLine line, OrientedPlane plane, out PositionRelationOfGeometricalObjects relation)
	Calculates the intersection of a line and a plane. Both have to be defined in reference to the same coordinate system. More...
static double	PointToLineDistance (Position position, PositionedLine line)
	Calculates the distance from one position to a line. More...
static double	PointToLineDistance (Vector3D point, PositionedLine line)
	Calculates the distance from one point to a line. More...
static double	PointToPlaneDistance (Position position, OrientedPlane plane)
	Calculates the positive distance from one point to a plane. More...
static double	PointToPlaneDistance (Vector3D point, OrientedPlane plane)
	Calculates the positive distance from one point to a plane. More...
static double	PointToPointDistance (Position position1, Position position2)
	Calculates the absolute value of the distance between two positions. More...
static double	PointToPointDistance (Vector3D position1, Vector3D position2)
	Calculates the absolute value of the distance between two positions. More...

Detailed Description

This class provides various mathematical functions.

Member Function Documentation

Acos()

static Complex Acos ( this Complex  complex )

static

Returns the angle that is the arc cosine of the specified complex number.

Parameters

complex

A complex number that represents a cosine.

Returns

The angle, measured in radians, which is the arc cosine of the given complex.

Asin()

static Complex Asin ( this Complex  complex )

static

Returns the angle that is the arc sine of the specified complex number.

Parameters

complex

A complex number that represents a sine.

Returns

The angle, measured in radians, which is the arc sine of the given complex.

IntersectionLineAndPlane()

static Position IntersectionLineAndPlane ( PositionedLine  line, OrientedPlane  plane, out PositionRelationOfGeometricalObjects  relation  )

static

Calculates the intersection of a line and a plane. Both have to be defined in reference to the same coordinate system.

Parameters

line	Line to search the intersection with plane for.
plane	Plane to search the intersection with line for.
relation	Returns the type of position relation between the line and the plane.

Returns

The position of the intersection referring to the same coordinate system the line and plane are defined in.

PointToLineDistance() [1/2]

static double PointToLineDistance ( Position  position, PositionedLine  line  )

static

Calculates the distance from one position to a line.

Parameters

position	Position to calculate the distance to the line for. It has to refer to the same reference coordinate system as the line.
line	Line to calculate the distance to the point for.

Returns

Distance from point to line.

PointToLineDistance() [2/2]

static double PointToLineDistance ( Vector3D  point, PositionedLine  line  )

static

Calculates the distance from one point to a line.

Parameters

point	Position to calculate the distance to the line for. It is assumed the coordinates refer to the same reference coordinate system as the line.
line	Line to calculate the distance to the point for.

Returns

Distance from point to line.

PointToPlaneDistance() [1/2]

static double PointToPlaneDistance ( Position  position, OrientedPlane  plane  )

static

Calculates the positive distance from one point to a plane.

Parameters

position	Position to calculate the distance to the plane for. It has to refer to the same reference coordinate system as the plane.
plane	Plane to calculate the distance to the point for.

Returns

Positive distance from point to plane.

PointToPlaneDistance() [2/2]

static double PointToPlaneDistance ( Vector3D  point, OrientedPlane  plane  )

static

Calculates the positive distance from one point to a plane.

Parameters

point	Position to calculate the distance to the plane for. It is assumed the coordinates refer to the same reference coordinate system as the plane.
plane	Plane to calculate the distance to the point for.

Returns

Positive distance from point to plane.

PointToPointDistance() [1/2]

static double PointToPointDistance ( Position  position1, Position  position2  )

static

Calculates the absolute value of the distance between two positions.

Parameters

position1	Position to calculate the distance to position2 for. It has to refer to the same reference coordinate system as the other position.
position2	Position to calculate the distance to position1 for. It has to refer to the same reference coordinate system as the other position.

Returns

Absolute value of the distance vector between position1 and position2.

PointToPointDistance() [2/2]

static double PointToPointDistance ( Vector3D  position1, Vector3D  position2  )

static

Calculates the absolute value of the distance between two positions.

Parameters

position1	Position to calculate the distance to position2 for. It is assumed the coordinates refer to the same reference coordinate system as the other position.
position2	Position to calculate the distance to position1 for. It is assumed the coordinates refer to the same reference coordinate system as the other position.

Returns

Absolute value of the distance vector between position1 and position2.