interpolation.hh File Reference

Interpolation of periodic values over periodic range points at full bin width multiples. More...

#include <numeric/numeric.functions.hh>
#include <numeric/NumericTraits.hh>
#include <numeric/interpolation/interpolation.hh>
#include <cassert>
#include <cmath>

Namespaces
	numeric
	Unit headers.
	numeric::interpolation
	numeric::interpolation::periodic_range
	numeric::interpolation::periodic_range::periodic_value
	numeric::interpolation::periodic_range::periodic_value::full

Functions
template<typename X >
platform::SSize	numeric::interpolation::periodic_range::periodic_value::full::bin (X const &x, X const &w, platform::SSize const n)
	Periodic interpolation bin number of a value. More...
template<typename X >
platform::SSize	numeric::interpolation::periodic_range::periodic_value::full::bin (X const &x, X const &w, platform::SSize const n, X &a)
	Periodic interpolation bin number of a value. More...
template<typename F >
F	numeric::interpolation::periodic_range::periodic_value::full::nearest_periodic_value (F const &a, F const &b, F const &p)
	Nearest periodic value. More...
template<typename X , typename F , template< typename > class A>
F	numeric::interpolation::periodic_range::periodic_value::full::interpolated (X const &x, X const &w, platform::SSize const n, A< F > const &f, F const &p)
	Periodic linearly interpolated value. More...
template<typename X , typename F , template< typename > class A>
F	numeric::interpolation::periodic_range::periodic_value::full::interpolated (platform::SSize const l, X const &a, platform::SSize const n, A< F > const &f, F const &p)
	Periodic linearly interpolated value given the bin and alpha fraction. More...
template<typename X , typename F , template< typename > class A>
F	numeric::interpolation::periodic_range::periodic_value::full::bilinearly_interpolated (X const &x1, X const &x2, X const &w, platform::SSize const n, A< F > const &f, F const &p)
	Periodic bilinearly interpolated value. More...
template<typename X , typename F , template< typename > class A>
F	numeric::interpolation::periodic_range::periodic_value::full::bilinearly_interpolated (platform::SSize const l1, platform::SSize const l2, X const &a1, X const &a2, platform::SSize const n, A< F > const &f, F const &p)
	Periodic bilinearly interpolated value given the bins and alpha fractions. More...
template<typename X , typename F , template< typename > class A>
F	numeric::interpolation::periodic_range::periodic_value::full::bilinearly_interpolated (X const &x1, X const &x2, X const &w, platform::SSize const n, A< F > const &f, F const &p, F &df_dx1, F &df_dx2)
	Periodic bilinearly interpolated value and derivatives. More...
template<typename X , typename F , template< typename > class A>
F	numeric::interpolation::periodic_range::periodic_value::full::bilinearly_interpolated (platform::SSize const l1, platform::SSize const l2, X const &a1, X const &a2, X const &w, platform::SSize const n, A< F > const &f, F const &p, F &df_dx1, F &df_dx2)
	Periodic bilinearly interpolated value and derivatives given the bins and alpha fractions. More...

Detailed Description

Interpolation of periodic values over periodic range points at full bin width multiples.

Author

Stuart G. Mentzer (Stuar.nosp@m.t_Me.nosp@m.ntzer.nosp@m.@obj.nosp@m.exx.c.nosp@m.om)

Remarks

• For interpolation into arrays with values at { 0, w, 2w, ... } for bin width w
• Bins are numbered from 0,...,n-1 and range from [ (bin)w, (bin+1)w ]
• Bin number the lower index in the interpolated arrays

array values at 0 w 2w ... (n-2)w (n-1)w bin number | 0 | 1 | ... | n-1 | array index 0 1 2 ... n-2 n-1