boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType > Class Template Reference

Geographic area calculation. More...

Classes
struct	area_sums
struct	spheroid_constants

Public Types
typedef CT	return_type
typedef PointOfSegment	segment_point_type
typedef area_sums	state_type

Public Member Functions
void	apply (PointOfSegment const &p1, PointOfSegment const &p2, area_sums &state) const
	geographic (Spheroid const &spheroid=Spheroid())
return_type	result (area_sums const &state) const

Detailed Description

template<typename PointOfSegment, typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>
class boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >

Geographic area calculation.

Geographic area calculation by trapezoidal rule plus integral approximation that gives the ellipsoidal correction

Template Parameters

PointOfSegment	segment point type
FormulaPolicy	Formula used to calculate azimuths
SeriesOrder	The order of approximation of the geodesic integral
Spheroid	The spheroid model
CalculationType	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

Author

See

• Danielsen JS, The area under the geodesic. Surv Rev 30(232): 61–66, 1989
• Charles F.F Karney, Algorithms for geodesics, 2011 https://arxiv.org/pdf/1109.4448.pdf

Member Typedef Documentation

template<typename PointOfSegment , typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>

typedef CT boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >::return_type

template<typename PointOfSegment , typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>

typedef PointOfSegment boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >::segment_point_type

template<typename PointOfSegment , typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>

typedef area_sums boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >::state_type

Constructor & Destructor Documentation

template<typename PointOfSegment , typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>

boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >::geographic ( Spheroid const &  spheroid = Spheroid() )

explicit

Member Function Documentation

template<typename PointOfSegment , typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>

void boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >::apply	(	PointOfSegment const &	p1,
		PointOfSegment const &	p2,
		area_sums &	state
	)		const

template<typename PointOfSegment , typename FormulaPolicy = strategy::andoyer, std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value, typename Spheroid = srs::spheroid<double>, typename CalculationType = void>

return_type boost::geometry::strategy::area::geographic< PointOfSegment, FormulaPolicy, SeriesOrder, Spheroid, CalculationType >::result

(

area_sums const &

state

)

const