Version 5.0 The LEDA User Manual

at segment s.rotate90(int i = 1)
returns s rotated about the origin by an angle of i × 90
degrees.
rat segment s.reflect(const rat point& p, const rat point& q)
rat segment s.reflect(const rat point& p)
returns s reflected across the straight line passing through
p and q.
returns s reflected across point p.
rat segment s.reverse( )
returns s reversed.
rat segment s.perpendicular(const rat point& p)
returns the segment perpendicular to s with source p and
target on line(s).
Precondition: s is nontrivial.
rational s.sqr length( ) returns the square of the length of s.
rational s.sqr dist(const rat point& p)
returns the squared Euclidean distance between p and s.
rational s.sqr dist( ) returns the squared distance between s and the origin.
rat vector s.to vector( ) returns the vector s.target( ) − s.source( ).
bool
s == const rat segment& t
returns true if s and t are equal as oriented segments
int equal as sets(const rat segment& s, const rat segment& t)
Non-Member Functions
returns true if s and t are equal as unoriented segments
int cmp slopes(const rat segment& s1 , const rat segment& s2 )
returns compare(slope(s 1 ), slope(s 2 )).
int cmp segments at xcoord(const rat segment& s1 , const rat segment& s2 ,
const rat point& p)
compares points l 1 ∩ v and l 2 ∩ v where l i is the line underlying
segment s i and v is the vertical straight line passing
through point p.
int orientation(const rat segment& s, const rat point& p)
computes orientation(a, b, p), where a ≠ b and a and b
appear in this order on segment s.