File basis.hpp

Enums

enum BasisType

Values:

enumerator DERIVATIVE

enumerator FUNCTION

enumerator INTEGRAL

Functions

template<typename T> void degree_doubling_chebyshev(std::vector<T> &coeffs, std::vector<T> &result)

template<typename NT> struct PolynomialBasis

Public Functions

inline PolynomialBasis(BasisType basis_type_)

inline NT operator()(NT t, const NT t0, unsigned int j, const unsigned int ord) const

Public Members

BasisType basis_type

template<typename NT> struct Polynomial

Public Functions

inline Polynomial(std::vector<NT> coeffs_, BasisType basis_type_)

inline NT operator()(NT t, NT t0, unsigned int j = -1, unsigned int ord = -1)

Public Members

BasisType basis_type

PolynomialBasis<NT> basis

std::vector<NT> coeffs

NT result

unsigned int ord

Public Static Functions

static inline std::vector<NT> convolve(std::vector<NT> const &p, std::vector<NT> const &q)

static inline std::vector<NT> multi_convolve(std::vector<std::vector<NT>> &seq)

template<typename NT, typename bfunc> struct RationalFunctionBasis

Public Functions

inline RationalFunctionBasis(bfunc num, bfunc grad_num, bfunc den, bfunc grad_den, BasisType basis_type_)

inline NT operator()(NT t, NT t0, unsigned int j, unsigned int ord)

Public Members

bfunc p

bfunc q

bfunc grad_p

bfunc grad_q

NT reg = 1e-6

BasisType basis_type

NT num

NT den

NT grad_num

NT grad_den

template<typename NT, typename VT> struct LagrangePolynomial

Public Functions

inline LagrangePolynomial()

inline int order() const

inline void set_nodes(VT nodes_)

inline void set_basis(int basis_)

inline void set_coeffs(VT coeffs_)

inline NT operator()(NT t) const

Public Members

VT coeffs

VT nodes

int basis = -1