Version 5.0 The LEDA User Manual

double p.sqr dist(const d3 point& q)
double p.distance(const d3 point& q)
returns the square of the Euclidean distance between p
and q.
returns the Euclidean distance between p and q.
int p.cmp distances(const d3 point& p1 , const d3 point& p2 )
vector p.normal project(const d3 point& q)
compares the distances of p1 and p2 to p and returns
the result.
returns the vector pointing from q to its projection on p
along the normal direction.
int p.intersection(const d3 point p1 , const d3 point p2 , d3 point& q)
if the line l through p1 and p2 intersects p in a single
point this point is assigned to q and the result is 1, if l
and p do not intersect the result is 0, and if l is contained
in p the result is 2.
int p.intersection(const d3 plane& Q, d3 point& i1 , d3 point& i2 )
if p and plane Q intersect in a line L then (i1, i2) are
assigned two different points on L and the result is 1, if
p and Q do not intersect the result is 0, and if p = Q
the result is 2.
d3 plane
p.translate(double dx, double dy, double dz)
returns p translated by vector (dx, dy, dz).
d3 plane p.translate(const vector& v)
returns p+v, i.e., p translated by vector v.
Precondition: v.dim() = 3.
d3 plane p + const vector& v returns p translated by vector v.
d3 plane p.reflect(const d3 plane& Q)
d3 plane p.reflect(const d3 point& q)
d3 point p.reflect point(const d3 point& q)
int p.side of(const d3 point& q)
returns p reflected across plane Q.
returns p reflected across point q.
returns q reflected across plane p.
computes the side of p on which q lies.