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Rectangle2dC::Rectangle2dC(void) Rectangle2dC::Rectangle2dC(const Point2dC &,const Point2dC &,const Point2dC &) Rectangle2dC::Origin(void) const Rectangle2dC::Direction(void) const Rectangle2dC::SideA(void) const Rectangle2dC::SideB(void) const Rectangle2dC::BiggerSide(void) const Rectangle2dC::SmallerSide(void) const Rectangle2dC::Area(void) const Rectangle2dC::PrincipalAngle(void) const Rectangle2dC::NonElongatedness(void) const

Rectangle2dC
Rectangle in 2d space
include	"amma/Rect2d.hh"
User Level:	Default
Library:	Mcg2
Example:	exBnd.cc
Section:	Geometry.2-D
In Scope:	std

Comments:
The class Rectangle2dC represents a geometrical object

typedef RealT AreaT;

typedef RealT LengthT;

typedef RealT FeatureT;

Rectangle2dC()

Creates the empty rectangle in the origin of coordinate system.

Rectangle2dC(const Point2dC & a,const Point2dC & b,const Point2dC & c)

Creates the rectangle. The point 'a' is taken as the origin of the rectangle. The vector b-a is taken as the first side. The point 'c' is used for computation of the length of the second side. The length of the second side is the projection of the vector c-a into the vector perpendicular to the vector b-a.

const Point2dC & Origin() const

Returns the first point of the rectangle.

const Vector2dC & Direction() const

Returns the direction of the first side of the rectangle as a vector.

LengthT SideA() const

Returns the size of the first side of the rectangle.

LengthT SideB() const

Returns the size of the second side of the rectangle.

LengthT BiggerSide() const

Returns the size of the bigger side of the rectangle.

LengthT SmallerSide() const

Returns the size of the smaller side of the rectangle.

AreaT Area() const

Returns the area of the rectangle.

Vector2dC::AngleT PrincipalAngle() const

Returns the oriented angle (rad) between the axis x and the longer side of the rectangle.

FeatureT NonElongatedness() const

Returns the ratio SmallerSide() and BiggerSide() expressing elongatedness of the rectangle. The value 1 means the rectangle is square, the value limiting to 0 implies long rectangle.