Version 5.0 The LEDA User Manual

5.15 Real-Valued Vectors ( real vector )
1. Definition
An instance of data type real vector is a vector of variables of type real.
#include < LEDA/numbers/real vector.h >
2. Creation
real vector v; creates an instance v of type real vector; v is initialized to the zerodimensional
vector.
real vector
real vector
real vector
real vector
real vector
v(int d); creates an instance v of type real vector; v is initialized to the zero
vector of dimension d.
v(real a, real b);
creates an instance v of type real vector; v is initialized to the twodimensional
vector (a, b).
v(real a, real b, real c);
creates an instance v of type real vector; v is initialized to the threedimensional
vector (a, b, c).
v(double a, double b);
creates an instance v of type real vector; v is initialized to the twodimensional
vector (a, b).
v(double a, double b, double c);
creates an instance v of type real vector; v is initialized to the threedimensional
vector (a, b, c).
3. Operations
int v.dim( ) returns the dimension of v.
real& v[int i] returns i-th component of v.
Precondition: 0 ≤ i ≤ v.dim()−1.
real v.hcoord(int i) for compatibility with rat vector.
real v.coord(int i) for compatibility with rat vector.
real v.sqr length( ) returns the square of the Euclidean length of v.
real v.length( ) returns the Euclidean length of v.