Interpolation Namespace Reference

Classes
struct	FixedLagrange
struct	Lagrange
	A Lagrange interpolation computer. More...

Functions
Array< Lagrange >	LagrangeVector (const ConstVectorView &xs, const ConstVectorView &xi, const Index polyorder, const Numeric extrapol, const bool do_derivs, const GridType type, const std::pair< Numeric, Numeric > cycle)
Vector	interpweights (const Lagrange &dim0)
Grid< Vector, 1 >	interpweights (const Array< Lagrange > &dim0)
Vector	dinterpweights (const Lagrange &dim0)
Grid< Vector, 1 >	dinterpweights (const Array< Lagrange > &dim0)
Numeric	interp (const ConstVectorView &yi, const ConstVectorView &iw, const Lagrange &dim0)
void	reinterp (VectorView out, const ConstVectorView &iy, const Grid< Vector, 1 > &iw, const Array< Lagrange > &dim0)
Vector	reinterp (const ConstVectorView &iy, const Grid< Vector, 1 > &iw, const Array< Lagrange > &dim0)
Matrix	interpweights (const Lagrange &dim0, const Lagrange &dim1)
Grid< Matrix, 2 >	interpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1)
Matrix	dinterpweights (const Lagrange &dim0, const Lagrange &dim1, Index dim)
Grid< Matrix, 2 >	dinterpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, Index dim)
Numeric	interp (const ConstMatrixView &yi, const ConstMatrixView &iw, const Lagrange &dim0, const Lagrange &dim1)
void	reinterp (MatrixView out, const ConstMatrixView &iy, const Grid< Matrix, 2 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1)
Matrix	reinterp (const ConstMatrixView &iy, const Grid< Matrix, 2 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1)
Tensor3	interpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2)
Grid< Tensor3, 3 >	interpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2)
Tensor3	dinterpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, Index dim)
Grid< Tensor3, 3 >	dinterpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, Index dim)
Numeric	interp (const ConstTensor3View &yi, const ConstTensor3View &iw, const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2)
void	reinterp (Tensor3View out, const ConstTensor3View &iy, const Grid< Tensor3, 3 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2)
Tensor3	reinterp (const ConstTensor3View &iy, const Grid< Tensor3, 3 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2)
Tensor4	interpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3)
Grid< Tensor4, 4 >	interpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3)
Tensor4	dinterpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, Index dim)
Grid< Tensor4, 4 >	dinterpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, Index dim)
Numeric	interp (const ConstTensor4View &yi, const ConstTensor4View &iw, const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3)
void	reinterp (Tensor4View out, const ConstTensor4View &iy, const Grid< Tensor4, 4 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3)
Tensor4	reinterp (const ConstTensor4View &iy, const Grid< Tensor4, 4 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3)
Tensor5	interpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4)
Grid< Tensor5, 5 >	interpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4)
Tensor5	dinterpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, Index dim)
Grid< Tensor5, 5 >	dinterpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, Index dim)
Numeric	interp (const ConstTensor5View &yi, const ConstTensor5View &iw, const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4)
void	reinterp (Tensor5View out, const ConstTensor5View &iy, const Grid< Tensor5, 5 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4)
Tensor5	reinterp (const ConstTensor5View &iy, const Grid< Tensor5, 5 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4)
Tensor6	interpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, const Lagrange &dim5)
Grid< Tensor6, 6 >	interpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5)
Tensor6	dinterpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, const Lagrange &dim5, Index dim)
Grid< Tensor6, 6 >	dinterpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5, Index dim)
Numeric	interp (const ConstTensor6View &yi, const ConstTensor6View &iw, const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, const Lagrange &dim5)
void	reinterp (Tensor6View out, const ConstTensor6View &iy, const Grid< Tensor6, 6 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5)
Tensor6	reinterp (const ConstTensor6View &iy, const Grid< Tensor6, 6 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5)
Tensor7	interpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, const Lagrange &dim5, const Lagrange &dim6)
Grid< Tensor7, 7 >	interpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5, const Array< Lagrange > &dim6)
Tensor7	dinterpweights (const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, const Lagrange &dim5, const Lagrange &dim6, Index dim)
Grid< Tensor7, 7 >	dinterpweights (const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5, const Array< Lagrange > &dim6, Index dim)
Numeric	interp (const ConstTensor7View &yi, const ConstTensor7View &iw, const Lagrange &dim0, const Lagrange &dim1, const Lagrange &dim2, const Lagrange &dim3, const Lagrange &dim4, const Lagrange &dim5, const Lagrange &dim6)
void	reinterp (Tensor7View out, const ConstTensor7View &iy, const Grid< Tensor7, 7 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5, const Array< Lagrange > &dim6)
Tensor7	reinterp (const ConstTensor7View &iy, const Grid< Tensor7, 7 > &iw, const Array< Lagrange > &dim0, const Array< Lagrange > &dim1, const Array< Lagrange > &dim2, const Array< Lagrange > &dim3, const Array< Lagrange > &dim4, const Array< Lagrange > &dim5, const Array< Lagrange > &dim6)
constexpr Index	cycler (const Index n, const Index N) noexcept
constexpr Numeric	cyclic_clamp (const Numeric x, const std::pair< Numeric, Numeric > xlim) noexcept
constexpr Numeric	min_cyclic (const Numeric x, const std::pair< Numeric, Numeric > xlim) noexcept
constexpr bool	full_cycle (const Numeric xo, const Numeric xn, const std::pair< Numeric, Numeric > xlim) noexcept
template<class SortedVectorType >
constexpr Index	start_pos_finder (const Numeric x, const SortedVectorType &xvec) noexcept
constexpr Index	IMAX (const Index a, const Index b) noexcept
	Return the maximum of two integer numbers. More...
constexpr Index	IMIN (const Index a, const Index b) noexcept
	Return the minimum of two integer numbers. More...
template<class SortedVectorType >
constexpr Index	pos_finder (const Index pos0, const Numeric x, const SortedVectorType &xi, const Index polyorder, const bool cyclic, const bool ascending, const std::pair< Numeric, Numeric > cycle={ -180, 180}) noexcept
	ENUMCLASS (GridType, char, Standard, Cyclic, Log, Log10, Log2, SinDeg, SinRad, CosDeg, CosRad)
template<GridType type, class SortedVectorType >
constexpr Numeric	l (const Index p0, const Index n, const Numeric x, const SortedVectorType &xi, const Index j, const std::pair< Numeric, Numeric > cycle={ -180, 180}) noexcept
template<GridType type, class SortedVectorType , class LagrangeVectorType >
constexpr double	dl_dval (const Index p0, const Index n, const Numeric x, const SortedVectorType &xi, const LagrangeVectorType &li, const Index j, const Index i, const std::pair< Numeric, Numeric > cycle) noexcept
template<GridType type, class SortedVectorType , class LagrangeVectorType >
constexpr Numeric	dl (const Index p0, const Index n, const Numeric x, const SortedVectorType &xi, const LagrangeVectorType &li, const Index j, const std::pair< Numeric, Numeric > cycle={-180, 180}) noexcept
template<class SortedVectorType >
constexpr bool	is_ascending (const SortedVectorType &xi) noexcept
	Checks whether the Sorted Vector is ascending or not by checking its first two elements. More...
template<class SortedVectorType >
void	check_lagrange_interpolation (const SortedVectorType &xi, const Index polyorder=1, const std::pair< Numeric, Numeric > x={std::numeric_limits< Numeric >::infinity(), -std::numeric_limits< Numeric >::infinity()}, const Numeric extrapol=0.5, const GridType type=GridType::Standard, const std::pair< Numeric, Numeric > cycle={-180, 180})
template<class SortedVectorType >
void	check_lagrange_interpolation (const SortedVectorType &xi, const Index polyorder, const Numeric x, const Numeric extrapol=0.5, const GridType type=GridType::Standard, const std::pair< Numeric, Numeric > cycle={-180, 180})
template<std::size_t PolyOrder, class UnsortedVectorType , class SortedVectorType >
Array< FixedLagrange< PolyOrder > >	FixedLagrangeVector (const UnsortedVectorType &xs, const SortedVectorType &xi, const bool do_derivs=false, const GridType type=GridType::Standard, const std::pair< Numeric, Numeric > cycle={-180, 180})
template<std::size_t PolyOrder>
constexpr const std::array< Numeric, PolyOrder+1 > &	interpweights (const FixedLagrange< PolyOrder > &dim0)
template<std::size_t PolyOrder>
Grid< std::array< Numeric, PolyOrder+1 >, 1 >	interpweights (const Array< FixedLagrange< PolyOrder > > &dim0)
template<std::size_t PolyOrder>
constexpr std::array< Numeric, PolyOrder+1 >	dinterpweights (const FixedLagrange< PolyOrder > &dim0)
template<std::size_t PolyOrder>
Grid< std::array< Numeric, PolyOrder+1 >, 1 >	dinterpweights (const Array< FixedLagrange< PolyOrder > > &dim0)
template<std::size_t PolyOrder, class VectorType >
constexpr Numeric	interp (const VectorType &yi, const std::array< Numeric, PolyOrder+1 > &iw, const FixedLagrange< PolyOrder > &dim0)
template<std::size_t PolyOrder>
Vector	reinterp (const ConstVectorView &iy, const Grid< std::array< Numeric, PolyOrder+1 >, 1 > &iw, const Array< FixedLagrange< PolyOrder > > &dim0)
template<std::size_t PolyOrder0, std::size_t PolyOrder1>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >	interpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1)
template<std::size_t PolyOrder0, std::size_t PolyOrder1>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >, 2 >	interpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t DerivativeDim>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >	dinterpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t DerivativeDim>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >, 2 >	dinterpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, class MatrixType >
constexpr Numeric	interp (const MatrixType &yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1)
template<std::size_t PolyOrder0, std::size_t PolyOrder1>
Matrix	reinterp (const ConstMatrixView &iy, const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >, 2 > &iw, const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >	interpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >, 3 >	interpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t DerivativeDim>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >	dinterpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t DerivativeDim>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >, 3 >	dinterpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, class Tensor3Type >
constexpr Numeric	interp (const Tensor3Type &yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2>
Tensor3	reinterp (const ConstTensor3View &iy, const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >, 3 > &iw, const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >	interpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >, 4 >	interpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t DerivativeDim>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >	dinterpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t DerivativeDim>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >, 4 >	dinterpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, class Tensor4Type >
constexpr Numeric	interp (const Tensor4Type &yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3>
Tensor4	reinterp (const ConstTensor4View &iy, const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >, 4 > &iw, const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >	interpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >, 5 >	interpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t DerivativeDim>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >	dinterpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t DerivativeDim>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >, 5 >	dinterpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, class Tensor5Type >
constexpr Numeric	interp (const Tensor5Type &yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4>
Tensor5	reinterp (const ConstTensor5View &iy, const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >, 5 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >	interpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4, const FixedLagrange< PolyOrder5 > &dim5)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >, 6 >	interpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4, const Array< FixedLagrange< PolyOrder5 > > &dim5)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t DerivativeDim>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >	dinterpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4, const FixedLagrange< PolyOrder5 > &dim5)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t DerivativeDim>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >, 6 >	dinterpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4, const Array< FixedLagrange< PolyOrder5 > > &dim5)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, class Tensor6Type >
constexpr Numeric	interp (const Tensor6Type &yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4, const FixedLagrange< PolyOrder5 > &dim5)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5>
Tensor6	reinterp (const ConstTensor6View &iy, const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >, 6 > &iw, const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4, const Array< FixedLagrange< PolyOrder5 > > &dim5)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >	interpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4, const FixedLagrange< PolyOrder5 > &dim5, const FixedLagrange< PolyOrder6 > &dim6)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >, 7 >	interpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4, const Array< FixedLagrange< PolyOrder5 > > &dim5, const Array< FixedLagrange< PolyOrder6 > > &dim6)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6, std::size_t DerivativeDim>
constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >	dinterpweights (const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4, const FixedLagrange< PolyOrder5 > &dim5, const FixedLagrange< PolyOrder6 > &dim6)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6, std::size_t DerivativeDim>
Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >, 7 >	dinterpweights (const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4, const Array< FixedLagrange< PolyOrder5 > > &dim5, const Array< FixedLagrange< PolyOrder6 > > &dim6)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6, class Tensor7Type >
constexpr Numeric	interp (const Tensor7Type &yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 > &iw, const FixedLagrange< PolyOrder0 > &dim0, const FixedLagrange< PolyOrder1 > &dim1, const FixedLagrange< PolyOrder2 > &dim2, const FixedLagrange< PolyOrder3 > &dim3, const FixedLagrange< PolyOrder4 > &dim4, const FixedLagrange< PolyOrder5 > &dim5, const FixedLagrange< PolyOrder6 > &dim6)
template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6>
Tensor7	reinterp (const ConstTensor7View &iy, const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >, 7 > &iw, const Array< FixedLagrange< PolyOrder0 > > &dim0, const Array< FixedLagrange< PolyOrder1 > > &dim1, const Array< FixedLagrange< PolyOrder2 > > &dim2, const Array< FixedLagrange< PolyOrder3 > > &dim3, const Array< FixedLagrange< PolyOrder4 > > &dim4, const Array< FixedLagrange< PolyOrder5 > > &dim5, const Array< FixedLagrange< PolyOrder6 > > &dim6)

Function Documentation

check_lagrange_interpolation() [1/2]

template<class SortedVectorType >

void Interpolation::check_lagrange_interpolation	(	const SortedVectorType &	xi,
		const Index	polyorder,
		const Numeric	x,
		const Numeric	extrapol = 0.5,
		const GridType	type = GridType::Standard,
		const std::pair< Numeric, Numeric >	cycle = {-180, 180}
	)

Checks the interpolation grid and throws if it is bad

Parameters

[in]	xi	Old grid positions
[in]	polyorder	Polynominal degree
[in]	x	New grid position
[in]	extrapol	Level of extrapolation
[in]	type	Type of Lagrange
[in]	cycle	Size of a cycle if Cyclic type

Definition at line 439 of file interpolation_lagrange.h.

check_lagrange_interpolation() [2/2]

template<class SortedVectorType >

void Interpolation::check_lagrange_interpolation	(	const SortedVectorType &	xi,
		const Index	polyorder = 1,
		const std::pair< Numeric, Numeric >	x = {std::numeric_limits<Numeric>::infinity(), -std::numeric_limits<Numeric>::infinity()},
		const Numeric	extrapol = 0.5,
		const GridType	type = GridType::Standard,
		const std::pair< Numeric, Numeric >	cycle = {-180, 180}
	)

Checks the interpolation grid and throws if it is bad

Parameters

[in]	xi	Old grid positions
[in]	polyorder	Polynominal degree
[in]	x	{Min new x, Max new x}
[in]	extrapol	Level of extrapolation
[in]	type	Type of Lagrange
[in]	cycle	Size of a cycle if Cyclic type

Definition at line 403 of file interpolation_lagrange.h.

Referenced by LagrangeVector().

cycler()

constexpr Index Interpolation::cycler ( const Index  n, const Index  N  )

constexprnoexcept

Cycle once back through a list

Parameters

[in]	n	Index in a list 0 <= n < 2*N
[in]	N	Index size of a list

Returns

n - N if n >= N else n

Definition at line 26 of file interpolation_lagrange.h.

References N.

Referenced by dl_dval(), and interp().

cyclic_clamp()

constexpr Numeric Interpolation::cyclic_clamp ( const Numeric  x, const std::pair< Numeric, Numeric >  xlim  )

constexprnoexcept

Clamp the value within a cycle by recursion

Note that your compiler will have a hard limit on recursion. If this is reached, this function will fail. If you even encounter this issue, the code below must be updated

Parameters

[in]	x	Value to clamp
[in]	xlim	[Lower, Upper) bound of cycle

Returns

Value of x in the cycle [Lower, Upper)

Definition at line 39 of file interpolation_lagrange.h.

References cyclic_clamp().

Referenced by cyclic_clamp(), dl_dval(), and test26().

dinterpweights() [1/28]

template<std::size_t PolyOrder>

Grid< std::array< Numeric, PolyOrder+1 >, 1 > Interpolation::dinterpweights

(

const Array< FixedLagrange< PolyOrder > > &

dim0

)

Interpolation weights derivative for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights derivative along 0th dimension

Definition at line 950 of file interpolation_lagrange.h.

References dinterpweights().

dinterpweights() [2/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t DerivativeDim>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >, 2 > Interpolation::dinterpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1
	)

Interpolation weights derivative for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim	- Axis along which to compute the derivatives

Returns

Matrix - interpweights derivative along dim dimension

Definition at line 1149 of file interpolation_lagrange.h.

dinterpweights() [3/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t DerivativeDim>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >, 3 > Interpolation::dinterpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2
	)

Interpolation weights derivative for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor3 - interpweights derivative along dim dimension

Definition at line 1392 of file interpolation_lagrange.h.

dinterpweights() [4/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t DerivativeDim>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >, 4 > Interpolation::dinterpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3
	)

Interpolation weights derivative for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor4 - interpweights derivative along dim dimension

Definition at line 1685 of file interpolation_lagrange.h.

dinterpweights() [5/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t DerivativeDim>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >, 5 > Interpolation::dinterpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4
	)

Interpolation weights derivative for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor5 - interpweights derivative along dim dimension

Definition at line 2019 of file interpolation_lagrange.h.

dinterpweights() [6/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t DerivativeDim>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >, 6 > Interpolation::dinterpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4,
		const Array< FixedLagrange< PolyOrder5 > > &	dim5
	)

Interpolation weights derivative for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor6 - interpweights derivative along dim dimension

Definition at line 2392 of file interpolation_lagrange.h.

dinterpweights() [7/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6, std::size_t DerivativeDim>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >, 7 > Interpolation::dinterpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4,
		const Array< FixedLagrange< PolyOrder5 > > &	dim5,
		const Array< FixedLagrange< PolyOrder6 > > &	dim6
	)

Interpolation weights derivative for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor7 - interpweights derivative along dim dimension

Definition at line 2809 of file interpolation_lagrange.h.

dinterpweights() [8/28]

Grid< Vector, 1 > Interpolation::dinterpweights

(

const Array< Lagrange > &

dim0

)

Interpolation weights derivative for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights derivative along 0th dimension

Definition at line 49 of file interpolation_lagrange.cc.

References dinterpweights().

dinterpweights() [9/28]

Grid< Tensor7, 7 > Interpolation::dinterpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5,
		const Array< Lagrange > &	dim6,
		Index	dim
	)

Interpolation weights derivative for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor7 - interpweights derivative along dim dimension

Definition at line 760 of file interpolation_lagrange.cc.

dinterpweights() [10/28]

Grid< Tensor6, 6 > Interpolation::dinterpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5,
		Index	dim
	)

Interpolation weights derivative for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor6 - interpweights derivative along dim dimension

Definition at line 593 of file interpolation_lagrange.cc.

dinterpweights() [11/28]

Grid< Tensor5, 5 > Interpolation::dinterpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		Index	dim
	)

Interpolation weights derivative for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor5 - interpweights derivative along dim dimension

Definition at line 448 of file interpolation_lagrange.cc.

dinterpweights() [12/28]

Grid< Tensor4, 4 > Interpolation::dinterpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		Index	dim
	)

Interpolation weights derivative for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor4 - interpweights derivative along dim dimension

Definition at line 320 of file interpolation_lagrange.cc.

dinterpweights() [13/28]

Grid< Tensor3, 3 > Interpolation::dinterpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		Index	dim
	)

Interpolation weights derivative for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor3 - interpweights derivative along dim dimension

Definition at line 215 of file interpolation_lagrange.cc.

dinterpweights() [14/28]

Grid< Matrix, 2 > Interpolation::dinterpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		Index	dim
	)

Interpolation weights derivative for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim	- Axis along which to compute the derivatives

Returns

Matrix - interpweights derivative along dim dimension

Definition at line 124 of file interpolation_lagrange.cc.

References dinterpweights().

dinterpweights() [15/28]

template<std::size_t PolyOrder>

constexpr std::array< Numeric, PolyOrder+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder > &  dim0 )

constexpr

Interpolation weights derivative for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights derivative along 0th dimension

Definition at line 939 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::dlx.

dinterpweights() [16/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t DerivativeDim>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1  )

constexpr

Interpolation weights derivative for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim	- Axis along which to compute the derivatives

Returns

Matrix - interpweights derivative along dim dimension

Definition at line 1127 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::dlx, Interpolation::FixedLagrange< PolyOrder >::lx, and Interpolation::FixedLagrange< PolyOrder >::size().

dinterpweights() [17/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t DerivativeDim>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2  )

constexpr

Interpolation weights derivative for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor3 - interpweights derivative along dim dimension

Definition at line 1366 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

dinterpweights() [18/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t DerivativeDim>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3  )

constexpr

Interpolation weights derivative for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor4 - interpweights derivative along dim dimension

Definition at line 1650 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

dinterpweights() [19/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t DerivativeDim>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4  )

constexpr

Interpolation weights derivative for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor5 - interpweights derivative along dim dimension

Definition at line 1979 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

dinterpweights() [20/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t DerivativeDim>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4, const FixedLagrange< PolyOrder5 > &  dim5  )

constexpr

Interpolation weights derivative for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor6 - interpweights derivative along dim dimension

Definition at line 2347 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

dinterpweights() [21/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6, std::size_t DerivativeDim>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 > Interpolation::dinterpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4, const FixedLagrange< PolyOrder5 > &  dim5, const FixedLagrange< PolyOrder6 > &  dim6  )

constexpr

Interpolation weights derivative for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor7 - interpweights derivative along dim dimension

Definition at line 2760 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

dinterpweights() [22/28]

Vector Interpolation::dinterpweights

(

const Lagrange &

dim0

)

Interpolation weights derivative for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights derivative along 0th dimension

Definition at line 47 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::dlx.

Referenced by dinterpweights(), test14(), test17(), test18(), test19(), test20(), test21(), test22(), test23(), test25(), and test26().

dinterpweights() [23/28]

Tensor7 Interpolation::dinterpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		const Lagrange &	dim5,
		const Lagrange &	dim6,
		Index	dim
	)

Interpolation weights derivative for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor7 - interpweights derivative along dim dimension

Definition at line 736 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

dinterpweights() [24/28]

Tensor6 Interpolation::dinterpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		const Lagrange &	dim5,
		Index	dim
	)

Interpolation weights derivative for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor6 - interpweights derivative along dim dimension

Definition at line 573 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

dinterpweights() [25/28]

Tensor5 Interpolation::dinterpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		Index	dim
	)

Interpolation weights derivative for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor5 - interpweights derivative along dim dimension

Definition at line 431 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

dinterpweights() [26/28]

Tensor4 Interpolation::dinterpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		Index	dim
	)

Interpolation weights derivative for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor4 - interpweights derivative along dim dimension

Definition at line 306 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

dinterpweights() [27/28]

Tensor3 Interpolation::dinterpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		Index	dim
	)

Interpolation weights derivative for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim	- Axis along which to compute the derivatives

Returns

Tensor3 - interpweights derivative along dim dimension

Definition at line 203 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

dinterpweights() [28/28]

Matrix Interpolation::dinterpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		Index	dim
	)

Interpolation weights derivative for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim	- Axis along which to compute the derivatives

Returns

Matrix - interpweights derivative along dim dimension

Definition at line 115 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::dlx, Interpolation::Lagrange::lx, and Interpolation::Lagrange::size().

dl()

template<GridType type, class SortedVectorType , class LagrangeVectorType >

constexpr Numeric Interpolation::dl ( const Index  p0, const Index  n, const Numeric  x, const SortedVectorType &  xi, const LagrangeVectorType &  li, const Index  j, const std::pair< Numeric, Numeric >  cycle = {-180, 180}  )

constexprnoexcept

Computes the derivatives of the weights for a given coefficient

Parameters

[in]	p0	The origin position
[in]	n	The number of weights
[in]	x	The position for the weights
[in]	xi	The sorted vector of values
[in]	li	The Lagrange weights
[in]	j	The current coefficient
[in]	cycle	The size of a cycle (optional)

Definition at line 371 of file interpolation_lagrange.h.

Referenced by defocusing_general_sub(), get_pmom(), get_ppath_transmat(), and mcPathTraceRadar().

dl_dval()

template<GridType type, class SortedVectorType , class LagrangeVectorType >

constexpr double Interpolation::dl_dval ( const Index  p0, const Index  n, const Numeric  x, const SortedVectorType &  xi, const LagrangeVectorType &  li, const Index  j, const Index  i, const std::pair< Numeric, Numeric >  cycle  )

constexprnoexcept

Computes the derivatives of the weights for a given coefficient for a given weight

If x is on the grid, this is more expensive than if x is not on the grid

Parameters

[in]	p0	The origin position
[in]	n	The number of weights
[in]	x	The position for the weights
[in]	xi	The sorted vector of values
[in]	li	The Lagrange weights
[in]	j	The current coefficient
[in]	i	The current wight Index
[in]	cycle	The size of a cycle (optional)

Definition at line 290 of file interpolation_lagrange.h.

References cycler(), cyclic_clamp(), full_cycle(), min_cyclic(), and N.

ENUMCLASS()

Interpolation::ENUMCLASS	(	GridType	,
		char	,
		Standard	,
		Cyclic	,
		Log	,
		Log10	,
		Log2	,
		SinDeg	,
		SinRad	,
		CosDeg	,
		CosRad
	)

Type of Lagrange interpolation weights

Note that Cyclic interpolation has reduced poly-order crossing the cycle if both the start and the end of the cycle are in the original x-data and the polyorder is above 1.

Note that all derivatives are linear regardless of the type

FixedLagrangeVector()

template<std::size_t PolyOrder, class UnsortedVectorType , class SortedVectorType >

Array< FixedLagrange< PolyOrder > > Interpolation::FixedLagrangeVector	(	const UnsortedVectorType &	xs,
		const SortedVectorType &	xi,
		const bool	do_derivs = false,
		const GridType	type = GridType::Standard,
		const std::pair< Numeric, Numeric >	cycle = {-180, 180}
	)

Gets a vector of Lagrange interpolation points

Estimates start position using start_pos_finder

Parameters

[in]	x	New grid positions
[in]	xi	Old grid positions
[in]	do_derivs	Flag to activate derivative calculations
[in]	type	Type of Lagrange
[in]	cycle	Size of a cycle if Cyclic type

Returns

vector of FixedLagrange

Definition at line 852 of file interpolation_lagrange.h.

full_cycle()

constexpr bool Interpolation::full_cycle ( const Numeric  xo, const Numeric  xn, const std::pair< Numeric, Numeric >  xlim  )

constexprnoexcept

Find if the end points represent a full cycle

Parameters

[in]	xo	Start position of grid
[in]	xn	End position of grid
[in]	xlim	[Lower, Upper) bound of cycle

Returns

true if xlim = [xo, xn] or xlim = [xn, xo]

Definition at line 70 of file interpolation_lagrange.h.

Referenced by dl_dval().

IMAX()

constexpr Index Interpolation::IMAX ( const Index  a, const Index  b  )

constexprnoexcept

Return the maximum of two integer numbers.

T his function is based on a macro from Numerical Rec*eipes. The original macro:

static Index imaxarg1, imaxarg2; #define IMAX(a,b) (imaxarg1=(a), imaxarg2=(b),(imaxarg1) > (imaxarg2) ? \ (imaxarg1) : (imaxarg2))

The macro can cause trouble if used in parallel regions, so we use this function instead.

Parameters

a	Input a.
b	Input b.

Returns

The maximum of a and b.

Definition at line 113 of file interpolation_lagrange.h.

References a, and b.

IMIN()

constexpr Index Interpolation::IMIN ( const Index  a, const Index  b  )

constexprnoexcept

Return the minimum of two integer numbers.

T his function is based on a macro from Numerical Rec*eipes. The original macro:

static Index iminarg1, iminarg2; #define IMIN(a,b) (iminarg1=(a), iminarg2=(b),(iminarg1) < (iminarg2) ? \ (iminarg1) : (iminarg2))

The macro can cause trouble if used in parallel regions, so we use this function instead.

Parameters

a	Input a.
b	Input b.

Returns

The minimum of a and b.

Definition at line 132 of file interpolation_lagrange.h.

References a, and b.

interp() [1/14]

Numeric Interpolation::interp	(	const ConstMatrixView &	yi,
		const ConstMatrixView &	iw,
		const Lagrange &	dim0,
		const Lagrange &	dim1
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 137 of file interpolation_lagrange.cc.

References cycler(), ConstMatrixView::ncols(), ConstMatrixView::nrows(), Interpolation::Lagrange::pos, and Interpolation::Lagrange::size().

interp() [2/14]

Numeric Interpolation::interp	(	const ConstTensor3View &	yi,
		const ConstTensor3View &	iw,
		const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 230 of file interpolation_lagrange.cc.

References ConstTensor3View::ncols(), ConstTensor3View::npages(), ConstTensor3View::nrows(), and Interpolation::Lagrange::size().

interp() [3/14]

Numeric Interpolation::interp	(	const ConstTensor4View &	yi,
		const ConstTensor4View &	iw,
		const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 338 of file interpolation_lagrange.cc.

References ConstTensor4View::nbooks(), ConstTensor4View::ncols(), ConstTensor4View::npages(), ConstTensor4View::nrows(), and Interpolation::Lagrange::size().

interp() [4/14]

Numeric Interpolation::interp	(	const ConstTensor5View &	yi,
		const ConstTensor5View &	iw,
		const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 469 of file interpolation_lagrange.cc.

References M, ConstTensor5View::nbooks(), ConstTensor5View::ncols(), ConstTensor5View::npages(), ConstTensor5View::nrows(), ConstTensor5View::nshelves(), and Interpolation::Lagrange::size().

interp() [5/14]

Numeric Interpolation::interp	(	const ConstTensor6View &	yi,
		const ConstTensor6View &	iw,
		const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		const Lagrange &	dim5
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 616 of file interpolation_lagrange.cc.

References M, N, ConstTensor6View::nbooks(), ConstTensor6View::ncols(), ConstTensor6View::npages(), ConstTensor6View::nrows(), ConstTensor6View::nshelves(), ConstTensor6View::nvitrines(), and Interpolation::Lagrange::size().

interp() [6/14]

Numeric Interpolation::interp	(	const ConstTensor7View &	yi,
		const ConstTensor7View &	iw,
		const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		const Lagrange &	dim5,
		const Lagrange &	dim6
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension
[in]	dim6	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 786 of file interpolation_lagrange.cc.

References M, N, ConstTensor7View::nbooks(), ConstTensor7View::ncols(), ConstTensor7View::nlibraries(), ConstTensor7View::npages(), ConstTensor7View::nrows(), ConstTensor7View::nshelves(), ConstTensor7View::nvitrines(), and Interpolation::Lagrange::size().

interp() [7/14]

Numeric Interpolation::interp	(	const ConstVectorView &	yi,
		const ConstVectorView &	iw,
		const Lagrange &	dim0
	)

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 60 of file interpolation_lagrange.cc.

References cycler(), Interpolation::Lagrange::pos, Interpolation::Lagrange::size(), and ConstVectorView::size().

Referenced by reinterp().

interp() [8/14]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, class MatrixType >

constexpr Numeric Interpolation::interp ( const MatrixType &  yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 > &  iw, const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1  )

constexpr

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 1189 of file interpolation_lagrange.h.

References cycler(), Interpolation::FixedLagrange< PolyOrder >::pos, and Interpolation::FixedLagrange< PolyOrder >::size().

interp() [9/14]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, class Tensor3Type >

constexpr Numeric Interpolation::interp ( const Tensor3Type &  yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 > &  iw, const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2  )

constexpr

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 1436 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interp() [10/14]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, class Tensor4Type >

constexpr Numeric Interpolation::interp ( const Tensor4Type &  yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 > &  iw, const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3  )

constexpr

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 1735 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interp() [11/14]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, class Tensor5Type >

constexpr Numeric Interpolation::interp ( const Tensor5Type &  yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 > &  iw, const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4  )

constexpr

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 2075 of file interpolation_lagrange.h.

References M, and Interpolation::FixedLagrange< PolyOrder >::size().

interp() [12/14]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, class Tensor6Type >

constexpr Numeric Interpolation::interp ( const Tensor6Type &  yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 > &  iw, const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4, const FixedLagrange< PolyOrder5 > &  dim5  )

constexpr

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 2454 of file interpolation_lagrange.h.

References M, N, and Interpolation::FixedLagrange< PolyOrder >::size().

interp() [13/14]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6, class Tensor7Type >

constexpr Numeric Interpolation::interp ( const Tensor7Type &  yi, const FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 > &  iw, const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4, const FixedLagrange< PolyOrder5 > &  dim5, const FixedLagrange< PolyOrder6 > &  dim6  )

constexpr

Squashing interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension
[in]	dim6	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 2879 of file interpolation_lagrange.h.

References M, N, and Interpolation::FixedLagrange< PolyOrder >::size().

interp() [14/14]

template<std::size_t PolyOrder, class VectorType >

constexpr Numeric Interpolation::interp ( const VectorType &  yi, const std::array< Numeric, PolyOrder+1 > &  iw, const FixedLagrange< PolyOrder > &  dim0  )

constexpr

Squashing fixed interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension

Returns

Numeric of interpolated value

Definition at line 982 of file interpolation_lagrange.h.

References cycler(), Interpolation::FixedLagrange< PolyOrder >::pos, and Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [1/28]

template<std::size_t PolyOrder>

Grid< std::array< Numeric, PolyOrder+1 >, 1 > Interpolation::interpweights

(

const Array< FixedLagrange< PolyOrder > > &

dim0

)

Interpolation weights for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights

Definition at line 908 of file interpolation_lagrange.h.

References interpweights().

interpweights() [2/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >, 2 > Interpolation::interpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1
	)

Interpolation weights for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1

Returns

Matrix - interpweights

Definition at line 1084 of file interpolation_lagrange.h.

References interpweights().

interpweights() [3/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >, 3 > Interpolation::interpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2
	)

Interpolation weights for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2

Returns

Tensor3 - interpweights

Definition at line 1316 of file interpolation_lagrange.h.

interpweights() [4/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >, 4 > Interpolation::interpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3
	)

Interpolation weights for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3

Returns

Tensor4 - interpweights

Definition at line 1590 of file interpolation_lagrange.h.

interpweights() [5/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >, 5 > Interpolation::interpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4
	)

Interpolation weights for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4

Returns

Tensor5 - interpweights

Definition at line 1911 of file interpolation_lagrange.h.

interpweights() [6/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >, 6 > Interpolation::interpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4,
		const Array< FixedLagrange< PolyOrder5 > > &	dim5
	)

Interpolation weights for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5

Returns

Tensor6 - interpweights

Definition at line 2271 of file interpolation_lagrange.h.

interpweights() [7/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6>

Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >, 7 > Interpolation::interpweights	(	const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4,
		const Array< FixedLagrange< PolyOrder5 > > &	dim5,
		const Array< FixedLagrange< PolyOrder6 > > &	dim6
	)

Interpolation weights for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6

Returns

Tensor7 - interpweights

Definition at line 2674 of file interpolation_lagrange.h.

interpweights() [8/28]

Grid< Vector, 1 > Interpolation::interpweights

(

const Array< Lagrange > &

dim0

)

Interpolation weights for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights

Definition at line 37 of file interpolation_lagrange.cc.

References interpweights().

interpweights() [9/28]

Grid< Matrix, 2 > Interpolation::interpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1
	)

Interpolation weights for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1

Returns

Matrix - interpweights

Definition at line 102 of file interpolation_lagrange.cc.

References interpweights().

interpweights() [10/28]

Grid< Tensor3, 3 > Interpolation::interpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2
	)

Interpolation weights for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2

Returns

Tensor3 - interpweights

Definition at line 188 of file interpolation_lagrange.cc.

interpweights() [11/28]

Grid< Tensor4, 4 > Interpolation::interpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3
	)

Interpolation weights for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3

Returns

Tensor4 - interpweights

Definition at line 289 of file interpolation_lagrange.cc.

interpweights() [12/28]

Grid< Tensor5, 5 > Interpolation::interpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4
	)

Interpolation weights for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4

Returns

Tensor5 - interpweights

Definition at line 410 of file interpolation_lagrange.cc.

interpweights() [13/28]

Grid< Tensor6, 6 > Interpolation::interpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5
	)

Interpolation weights for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5

Returns

Tensor6 - interpweights

Definition at line 550 of file interpolation_lagrange.cc.

interpweights() [14/28]

Grid< Tensor7, 7 > Interpolation::interpweights	(	const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5,
		const Array< Lagrange > &	dim6
	)

Interpolation weights for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6

Returns

Tensor7 - interpweights

Definition at line 710 of file interpolation_lagrange.cc.

interpweights() [15/28]

template<std::size_t PolyOrder>

constexpr const std::array< Numeric, PolyOrder+1 > & Interpolation::interpweights ( const FixedLagrange< PolyOrder > &  dim0 )

constexpr

Interpolation weights for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights

Definition at line 897 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::lx.

interpweights() [16/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 > Interpolation::interpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1  )

constexpr

Interpolation weights for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1

Returns

Matrix - interpweights

Definition at line 1068 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::lx, and Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [17/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 > Interpolation::interpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2  )

constexpr

Interpolation weights for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2

Returns

Tensor3 - interpweights

Definition at line 1295 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [18/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 > Interpolation::interpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3  )

constexpr

Interpolation weights for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3

Returns

Tensor4 - interpweights

Definition at line 1562 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [19/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 > Interpolation::interpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4  )

constexpr

Interpolation weights for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4

Returns

Tensor5 - interpweights

Definition at line 1878 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [20/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 > Interpolation::interpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4, const FixedLagrange< PolyOrder5 > &  dim5  )

constexpr

Interpolation weights for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5

Returns

Tensor6 - interpweights

Definition at line 2235 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [21/28]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6>

constexpr FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 > Interpolation::interpweights ( const FixedLagrange< PolyOrder0 > &  dim0, const FixedLagrange< PolyOrder1 > &  dim1, const FixedLagrange< PolyOrder2 > &  dim2, const FixedLagrange< PolyOrder3 > &  dim3, const FixedLagrange< PolyOrder4 > &  dim4, const FixedLagrange< PolyOrder5 > &  dim5, const FixedLagrange< PolyOrder6 > &  dim6  )

constexpr

Interpolation weights for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6

Returns

Tensor7 - interpweights

Definition at line 2633 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

interpweights() [22/28]

Vector Interpolation::interpweights

(

const Lagrange &

dim0

)

Interpolation weights for a 1D reduction

Parameters

[in]

dim0

- Interpolation along dimension 0

Returns

Vector - interpweights

Definition at line 35 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::lx.

Referenced by interpweights().

interpweights() [23/28]

Matrix Interpolation::interpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1
	)

Interpolation weights for a 2D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1

Returns

Matrix - interpweights

Definition at line 95 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::lx, and Interpolation::Lagrange::size().

interpweights() [24/28]

Tensor3 Interpolation::interpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2
	)

Interpolation weights for a 3D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2

Returns

Tensor3 - interpweights

Definition at line 178 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

interpweights() [25/28]

Tensor4 Interpolation::interpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3
	)

Interpolation weights for a 4D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3

Returns

Tensor4 - interpweights

Definition at line 278 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

interpweights() [26/28]

Tensor5 Interpolation::interpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4
	)

Interpolation weights for a 5D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4

Returns

Tensor5 - interpweights

Definition at line 396 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

interpweights() [27/28]

Tensor6 Interpolation::interpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		const Lagrange &	dim5
	)

Interpolation weights for a 6D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5

Returns

Tensor6 - interpweights

Definition at line 534 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

interpweights() [28/28]

Tensor7 Interpolation::interpweights	(	const Lagrange &	dim0,
		const Lagrange &	dim1,
		const Lagrange &	dim2,
		const Lagrange &	dim3,
		const Lagrange &	dim4,
		const Lagrange &	dim5,
		const Lagrange &	dim6
	)

Interpolation weights for a 7D reduction

Parameters

[in]	dim0	- Interpolation along dimension 0
[in]	dim1	- Interpolation along dimension 1
[in]	dim2	- Interpolation along dimension 2
[in]	dim3	- Interpolation along dimension 3
[in]	dim4	- Interpolation along dimension 4
[in]	dim5	- Interpolation along dimension 5
[in]	dim6	- Interpolation along dimension 6

Returns

Tensor7 - interpweights

Definition at line 691 of file interpolation_lagrange.cc.

References Interpolation::Lagrange::size().

is_ascending()

template<class SortedVectorType >

constexpr bool Interpolation::is_ascending ( const SortedVectorType &  xi )

constexprnoexcept

Checks whether the Sorted Vector is ascending or not by checking its first two elements.

Definition at line 387 of file interpolation_lagrange.h.

l()

template<GridType type, class SortedVectorType >

constexpr Numeric Interpolation::l ( const Index  p0, const Index  n, const Numeric  x, const SortedVectorType &  xi, const Index  j, const std::pair< Numeric, Numeric >  cycle = { -180, 180}  )

constexprnoexcept

Computes the weights for a given coefficient

Parameters

[in]	p0	The origin position
[in]	n	The number of weights
[in]	x	The position for the weights
[in]	xi	The sorted vector of values
[in]	j	The current coefficient
[in]	cycle	The size of a cycle (optional)

Definition at line 214 of file interpolation_lagrange.h.

Referenced by antenna2d_interp_response(), AtmFieldsAndParticleBulkPropFieldFromCompact(), calcBaselineFit(), cart2poslos(), chk_matrix_ncols(), chk_matrix_nrows(), chk_size(), chk_vector_length(), clebsqr_(), clebsqr_0_(), cloudboxSetAutomatically(), debug_tensor7view_get_elem(), do_gridcell_2d_byltest(), do_gridcell_3d_byltest(), Absorption::LineMixing::ecs_eigenvalue_adaptation_test(), fill_tensor7(), find_first_unique_in_lower(), geompath_from_r1_to_r2(), geompath_r_at_l(), Tensor7View::get(), ConstTensor7View::get(), get_pmom(), lm_hitran_2017::hitran_lm_eigenvalue_adaptation_test(), IntersectionGeometricalWithAltitude(), is_size(), jacobianAddShapeCatalogParameters(), jacobianCalcFreqStretch(), jacobianCalcPolyfit(), jacobianCalcSinefit(), jacobianFromYbatch(), Absorption::Lines::Match(), mblock_dlos_gridUniformCircular(), MPM02H2OAbsModel(), MPM85O2AbsModel(), MPM87H2OAbsModel(), MPM87O2AbsModel(), MPM89H2OAbsModel(), MPM89O2AbsModel(), MPM92O2AbsModel(), MPM93H2OAbsModel(), MPM93O2AbsModel(), Absorption::nelem(), Tensor7View::operator()(), ConstTensor7View::operator()(), operator<<(), Interpolation::FixedLagrange< PolyOrder >::operator=(), Interpolation::Lagrange::operator=(), opt_prop_bulkCalc(), Quantum::Number::GlobalState::part_of(), plevel_crossing_2d(), polynomial_basis_func(), PWR93O2AbsModel(), PWR98H2OAbsModel(), r_crossing_2d(), r_crossing_3d(), raytrace_1d_linear_basic(), raytrace_2d_linear_basic(), lm_hitran_2017::readw(), Tensor7::resize(), sensor_losReverse(), Quantum::Number::StateMatch::StateMatch(), stokes2pol(), surf_radius_at_l(), surface_scalar_reflectivityFromSurface_rmatrix(), Tensor7::Tensor7(), test_lusolve1D(), test_lusolve4D(), TRE05O2AbsModel(), Quantum::Number::TwoLevelValueHolder::TwoLevelValueHolder(), unitl(), Quantum::Number::vamdcCheck(), VectorClip(), xml_read_from_stream(), and xml_write_to_stream().

LagrangeVector()

Array< Lagrange > Interpolation::LagrangeVector	(	const ConstVectorView &	x,
		const ConstVectorView &	xi,
		const Index	polyorder,
		const Numeric	extrapol = 0.5,
		const bool	do_derivs = false,
		const GridType	type = GridType::Standard,
		const std::pair< Numeric, Numeric >	cycle = {-180, 180}
	)

Gets a vector of Lagrange interpolation points

Estimates start position using start_pos_finder

Parameters

[in]	x	New grid positions
[in]	xi	Old grid positions
[in]	polyorder	Polynominal degree
[in]	extrapol	Level of extrapolation
[in]	do_derivs	Flag to activate derivative calculations
[in]	type	Type of Lagrange
[in]	cycle	Size of a cycle if Cyclic type

Returns

vector of Lagrange

Definition at line 5 of file interpolation_lagrange.cc.

References check_lagrange_interpolation(), max, min, ConstVectorView::size(), and start_pos_finder().

Referenced by GasAbsLookup::Adapt(), AtmFieldPRegridHelper(), GasAbsLookup::Extract(), GriddedFieldLatLonRegridHelper(), GriddedFieldPRegridHelper(), GriddedFieldZToPRegridHelper(), MagFieldsCalc(), MagFieldsFromAltitudeRawCalc(), scat_dataCalc(), sensor_responseFillFgrid(), ssd_tinterp_parameters(), test09(), test11(), test16(), and WindFieldsCalc().

min_cyclic()

constexpr Numeric Interpolation::min_cyclic ( const Numeric  x, const std::pair< Numeric, Numeric >  xlim  )

constexprnoexcept

Find the absolute minimum in a cycle

Parameters

[in]	x	A position relative to a cycle
[in]	xlim	[Lower, Upper) bound of cycle

Returns

x-dx, x, or x+dx, whichever absolute is the smallest, where dx=Upper-Lower

Definition at line 54 of file interpolation_lagrange.h.

References nonstd::abs(), and dx.

Referenced by dl_dval().

pos_finder()

template<class SortedVectorType >

constexpr Index Interpolation::pos_finder ( const Index  pos0, const Numeric  x, const SortedVectorType &  xi, const Index  polyorder, const bool  cyclic, const bool  ascending, const std::pair< Numeric, Numeric >  cycle = { -180, 180}  )

constexprnoexcept

Finds the position of interpolation of x in xi

Will first find the first position with one lower value to the side of the point before adjusting so that x is in the center of a multiple interpolation order curve

Parameters

[in]	pos0	Estimation of the first position, must be [0, xi.size())
[in]	x	Coordinate to find a position for
[in]	xi	Original sorted grid
[in]	polyorder	Polynominal orders
[in]	cyclic	The sorting is cyclic (1, 2, 3, 0.5, 1.5...)
[in]	ascending	The sorting is ascending (1, 2, 3...)
[in]	cycle	The size of a cycle (optional; increasing first->second)

Definition at line 149 of file interpolation_lagrange.h.

Referenced by choose_abs_nls_pert(), and choose_abs_t_pert().

reinterp() [1/21]

template<std::size_t PolyOrder0, std::size_t PolyOrder1>

Matrix Interpolation::reinterp	(	const ConstMatrixView &	iy,
		const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1 >, 2 > &	iw,
		const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension

Returns

Matrix of interpolated value

Definition at line 1244 of file interpolation_lagrange.h.

References interp().

reinterp() [2/21]

Matrix Interpolation::reinterp	(	const ConstMatrixView &	iy,
		const Grid< Matrix, 2 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension

Returns

Matrix of interpolated value

Definition at line 160 of file interpolation_lagrange.cc.

References interp().

reinterp() [3/21]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2>

Tensor3 Interpolation::reinterp	(	const ConstTensor3View &	iy,
		const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1 >, 3 > &	iw,
		const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension

Returns

Tensor3 of interpolated value

Definition at line 1502 of file interpolation_lagrange.h.

reinterp() [4/21]

Tensor3 Interpolation::reinterp	(	const ConstTensor3View &	iy,
		const Grid< Tensor3, 3 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension

Returns

Tensor3 of interpolated value

Definition at line 258 of file interpolation_lagrange.cc.

reinterp() [5/21]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3>

Tensor4 Interpolation::reinterp	(	const ConstTensor4View &	iy,
		const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1 >, 4 > &	iw,
		const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension

Returns

Tensor4 of interpolated value

Definition at line 1810 of file interpolation_lagrange.h.

reinterp() [6/21]

Tensor4 Interpolation::reinterp	(	const ConstTensor4View &	iy,
		const Grid< Tensor4, 4 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension

Returns

Tensor4 of interpolated value

Definition at line 373 of file interpolation_lagrange.cc.

reinterp() [7/21]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4>

Tensor5 Interpolation::reinterp	(	const ConstTensor5View &	iy,
		const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1 >, 5 > &	iw,
		const FixedLagrange< PolyOrder0 > &	dim0,
		const FixedLagrange< PolyOrder1 > &	dim1,
		const FixedLagrange< PolyOrder2 > &	dim2,
		const FixedLagrange< PolyOrder3 > &	dim3,
		const FixedLagrange< PolyOrder4 > &	dim4
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension

Returns

Tensor5 of interpolated value

Definition at line 2160 of file interpolation_lagrange.h.

References Interpolation::FixedLagrange< PolyOrder >::size().

reinterp() [8/21]

Tensor5 Interpolation::reinterp	(	const ConstTensor5View &	iy,
		const Grid< Tensor5, 5 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension

Returns

Tensor5 of interpolated value

Definition at line 509 of file interpolation_lagrange.cc.

reinterp() [9/21]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5>

Tensor6 Interpolation::reinterp	(	const ConstTensor6View &	iy,
		const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1 >, 6 > &	iw,
		const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4,
		const Array< FixedLagrange< PolyOrder5 > > &	dim5
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension

Returns

Tensor6 of interpolated value

Definition at line 2547 of file interpolation_lagrange.h.

reinterp() [10/21]

Tensor6 Interpolation::reinterp	(	const ConstTensor6View &	iy,
		const Grid< Tensor6, 6 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension

Returns

Tensor6 of interpolated value

Definition at line 662 of file interpolation_lagrange.cc.

reinterp() [11/21]

template<std::size_t PolyOrder0, std::size_t PolyOrder1, std::size_t PolyOrder2, std::size_t PolyOrder3, std::size_t PolyOrder4, std::size_t PolyOrder5, std::size_t PolyOrder6>

Tensor7 Interpolation::reinterp	(	const ConstTensor7View &	iy,
		const Grid< FixedGrid< Numeric, PolyOrder0+1, PolyOrder1+1, PolyOrder2+1, PolyOrder3+1, PolyOrder4+1, PolyOrder5+1, PolyOrder6+1 >, 7 > &	iw,
		const Array< FixedLagrange< PolyOrder0 > > &	dim0,
		const Array< FixedLagrange< PolyOrder1 > > &	dim1,
		const Array< FixedLagrange< PolyOrder2 > > &	dim2,
		const Array< FixedLagrange< PolyOrder3 > > &	dim3,
		const Array< FixedLagrange< PolyOrder4 > > &	dim4,
		const Array< FixedLagrange< PolyOrder5 > > &	dim5,
		const Array< FixedLagrange< PolyOrder6 > > &	dim6
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension
[in]	dim6	- Lagrange weights along the dimension

Returns

Tensor7 of interpolated value

Definition at line 2983 of file interpolation_lagrange.h.

reinterp() [12/21]

Tensor7 Interpolation::reinterp	(	const ConstTensor7View &	iy,
		const Grid< Tensor7, 7 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5,
		const Array< Lagrange > &	dim6
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension
[in]	dim6	- Lagrange weights along the dimension

Returns

Tensor7 of interpolated value

Definition at line 837 of file interpolation_lagrange.cc.

reinterp() [13/21]

template<std::size_t PolyOrder>

Vector Interpolation::reinterp	(	const ConstVectorView &	iy,
		const Grid< std::array< Numeric, PolyOrder+1 >, 1 > &	iw,
		const Array< FixedLagrange< PolyOrder > > &	dim0
	)

Reinterpreting fixed interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension

Returns

Vector of interpolated value

Definition at line 1028 of file interpolation_lagrange.h.

References interp().

reinterp() [14/21]

Vector Interpolation::reinterp	(	const ConstVectorView &	iy,
		const Grid< Vector, 1 > &	iw,
		const Array< Lagrange > &	dim0
	)

Reinterpreting interpolation routine

Parameters

[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension

Returns

Vector of interpolated value

Definition at line 79 of file interpolation_lagrange.cc.

References interp().

reinterp() [15/21]

void Interpolation::reinterp	(	MatrixView	out,
		const ConstMatrixView &	iy,
		const Grid< Matrix, 2 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension

Returns

Matrix of interpolated value

Definition at line 152 of file interpolation_lagrange.cc.

References interp().

reinterp() [16/21]

void Interpolation::reinterp	(	Tensor3View	out,
		const ConstTensor3View &	iy,
		const Grid< Tensor3, 3 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension

Returns

Tensor3 of interpolated value

Definition at line 248 of file interpolation_lagrange.cc.

reinterp() [17/21]

void Interpolation::reinterp	(	Tensor4View	out,
		const ConstTensor4View &	iy,
		const Grid< Tensor4, 4 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension

Returns

Tensor4 of interpolated value

Definition at line 360 of file interpolation_lagrange.cc.

reinterp() [18/21]

void Interpolation::reinterp	(	Tensor5View	out,
		const ConstTensor5View &	iy,
		const Grid< Tensor5, 5 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension

Returns

Tensor5 of interpolated value

Definition at line 494 of file interpolation_lagrange.cc.

reinterp() [19/21]

void Interpolation::reinterp	(	Tensor6View	out,
		const ConstTensor6View &	iy,
		const Grid< Tensor6, 6 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension

Returns

Tensor6 of interpolated value

Definition at line 644 of file interpolation_lagrange.cc.

reinterp() [20/21]

void Interpolation::reinterp	(	Tensor7View	out,
		const ConstTensor7View &	iy,
		const Grid< Tensor7, 7 > &	iw,
		const Array< Lagrange > &	dim0,
		const Array< Lagrange > &	dim1,
		const Array< Lagrange > &	dim2,
		const Array< Lagrange > &	dim3,
		const Array< Lagrange > &	dim4,
		const Array< Lagrange > &	dim5,
		const Array< Lagrange > &	dim6
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension
[in]	dim1	- Lagrange weights along the dimension
[in]	dim2	- Lagrange weights along the dimension
[in]	dim3	- Lagrange weights along the dimension
[in]	dim4	- Lagrange weights along the dimension
[in]	dim5	- Lagrange weights along the dimension
[in]	dim6	- Lagrange weights along the dimension

Returns

Tensor7 of interpolated value

Definition at line 817 of file interpolation_lagrange.cc.

reinterp() [21/21]

void Interpolation::reinterp	(	VectorView	out,
		const ConstVectorView &	iy,
		const Grid< Vector, 1 > &	iw,
		const Array< Lagrange > &	dim0
	)

Reinterpreting interpolation routine

Parameters

[in,out]	out	- Reinterpreted field
[in]	yi	- Original data to squash
[in]	iw	- Interpolation weights grid or their derivatives from the Lagrange routines
[in]	dim0	- Lagrange weights along the dimension

Returns

Vector of interpolated value

Definition at line 73 of file interpolation_lagrange.cc.

References interp().

Referenced by AtmFieldPRegrid(), FouComp_1ScatElem(), GriddedFieldLatLonRegrid(), GriddedFieldPRegrid(), GriddedFieldZToPRegrid(), jacobianCalcFreqShift(), jacobianCalcFreqStretch(), MagFieldsCalc(), MagFieldsFromAltitudeRawCalc(), opt_prop_1ScatElem(), pha_mat_1ScatElem(), scat_dataCalc(), test09(), test11(), test14(), and WindFieldsCalc().

start_pos_finder()

template<class SortedVectorType >

constexpr Index Interpolation::start_pos_finder ( const Numeric  x, const SortedVectorType &  xvec  )

constexprnoexcept

Find an estimation of the start position in a linearly separated grid (useful as a start position esitmated

Parameters

[in]	x	The position
[in]	xvec	The grid

Returns

Estimated position of x [0, xvec.size())

Definition at line 85 of file interpolation_lagrange.h.

Referenced by LagrangeVector().