Version 5.0 The LEDA User Manual

int compare by angle(const rat vector& v1 , const rat vector& v2 )
For a non-zero vector v let α(v) be the angle
by which the positive x-axis has to be turned
counter-clockwise until it aligns with v. The
function compares the angles defined by v1
and v2 , respectively. The zero-vector precedes
all non-zero vectors in the angle-order.
rat vector cross product(const rat vector& v1 , const rat vector& v2 )
3.2 Tests
bool v == const rat vector& w Test for equality.
bool v != const rat vector& w Test for inequality.
3.3 Arithmetical Operators
returns the cross product of the threedimensional
vectors v1 and v2 .
rat vector
rat vector
integer n ∗ const rat vector& v
multiplies all cartesian coordinates by n.
rational r ∗ const rat vector& v
multiplies all cartesian coordinates by r.
rat vector& v ∗= integer n multiplies all cartesian coordinates by n.
rat vector& v ∗= rational r multiplies all cartesian coordinates by r.
rat vector
rat vector
const rat vector& v / integer n
divides all cartesian coordinates by n.
const rat vector& v / rational r
divides all cartesian coordinates by r.
rat vector& v /= integer n divides all cartesian coordinates by n.
rat vector& v /= rational r divides all cartesian coordinates by r.
rational
rat vector
const v ∗ const rat vector& w
const rat vector& v + const rat vector& w
scalar product, i.e., ∑ 0≤i