Version 5.0 The LEDA User Manual

14.16 Iso-oriented Rational Rectangles (
rat rectangle )
1. Definition
An instance r of the data type rectangle is an iso-oriented rectangle in the two-dimensional
plane with rational coordinates.
#include < LEDA/geo/rat rectangle.h >
2. Creation
rat rectangle r(const rat point& p, const rat point& q);
introduces a variable r of type rat rectangle. r is initialized to the
rat rectangle with diagonal corners p and q
rat rectangle r(const rat point& p, rational w, rational h);
introduces a variable r of type rat rectangle. r is initialized to the
rat rectangle with lower left corner p, width w and height h.
rat rectangle r(rational x1 , rational y1 , rational x2 , rational y2 );
introduces a variable r of type rat rectangle. r is initialized to the
rat rectangle with diagonal corners (x1 , y1 ) and (x2 , y2 ).
rat rectangle r(const rectangle& r, int prec = rat point :: default precision);
introduces a variable r of type rat rectangle. r is initialized to the
rectangle obtained by approximating the defining points of r.
3. Operations
rectangle r.to float( ) returns a floating point approximation of R.
void r.normalize( ) simplifies the homogenous representation by calling
p.normalize( ) for every vertex of r.
rat point r.upper left( ) returns the upper left corner.
rat point r.upper right( ) returns the upper right corner.
rat point r.lower left( ) returns the lower left corner.
rat point r.lower right( ) returns the lower right corner.
rat point r.center( ) returns the center of r.