...one of the most highly
regarded and expertly designed C++ library projects in the
world.
— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
Interpolate point on a cartesian segment.
template<typename CalculationType, typename DistanceStrategy> class strategy::line_interpolate::cartesian { // ... };
Parameter 
Default 
Description 

typename CalculationType 
void 
numeric type for calculation (e.g. high precision); if void then it is extracted automatically from the coordinate type and (if necessary) promoted to floating point 
typename DistanceStrategy 
distance::pythagoras<CalculationType> 
The underlying pointpoint distance strategy 
Function 
Description 
Parameters 
Returns 

template<typename Point, typename Fraction, typename Distance> void apply(Point const & p0, Point const & p1, Fraction const & fraction, Point & p, Distance const & )

Point const &: p0: Point const &: p1: Fraction const &: fraction: Point &: p: Distance const &: : 
#include <boost/geometry/strategies/cartesian/line_interpolate.hpp>