Inheritance diagram for pvfmm::ChebBasis< ValueType >:

Static Public Member Functions
static void	Nodes1D (Integer order, Vector< ValueType > &nodes)

static void	EvalBasis1D (Integer order, const Vector< ValueType > &x, Vector< ValueType > &y)
	Returns the values of all Chebyshev polynomials up to degree d, evaluated at points in the input vector. Output format: { T0[x[0]], ..., T0[x[n-1]], T1[x[0]], ..., Td[x[n-1]] }.

Static Public Member Functions inherited from pvfmm::BasisInterface< ValueType, ChebBasis< ValueType > >
static void	Nodes (Integer order, Vector< ValueType > &nodes)

static void	Approx (Integer order, const Vector< ValueType > &fn_v, Vector< ValueType > &coeff)
	Computes approximation from function values at node points. More...

static void	Approx_ (Integer order, const Vector< ValueType > &fn_v, Vector< ValueType > &coeff, ValueType scale)

static void	Eval (Integer order, const Vector< ValueType > &coeff, ConstIterator< Vector< ValueType >> in_x, Vector< ValueType > &out)
	Evaluates values from input coefficients at points on a regular grid defined by in_x, in_y, in_z the values in the input vector. More...

static ValueType	TruncErr (Integer order, const Vector< ValueType > &coeff)
	Returns the sum of the absolute value of coefficients of the highest order terms as an estimate of truncation error. More...

static void	Grad (Integer order, const Vector< ValueType > &coeff_in, Vector< ValueType > *coeff_out)
	Compute gradient. More...

static void	Integ (Matrix< ValueType > &Mcoeff, Integer order, ConstIterator< ValueType > trg_, ValueType side, Integer src_face, const KernelFunction< ValueType, DIM > &ker, ValueType tol=-1, Integer Nq=0)

static void	tensor2coeff (Integer order, const Vector< ValueType > &tensor, Vector< ValueType > &coeff)

static void	coeff2tensor (Integer order, const Vector< ValueType > &coeff, Vector< ValueType > &tensor)

static void	Truncate (Vector< ValueType > &coeff0, Integer order0, Integer order1)

static void	Reflect (Vector< ValueType > &coeff, Integer order, Integer dir)

static void	MakeContinuous (Vector< ValueType > &coeff0, Vector< ValueType > &coeff1, Integer order, Integer dir0, Integer dir1)

static void	MakeContinuousEdge (Vector< ValueType > &coeff0, Vector< ValueType > &coeff1, Integer order, Integer dir0, Integer dir1, Integer norm0, Integer norm1)

static void	cheb_nodes_1d (Integer order, Vector< ValueType > &nodes)

static void	cheb_basis_1d (Integer order, const Vector< ValueType > &x, Vector< ValueType > &y)

static void	quad_rule (Integer order, Vector< ValueType > &x, Vector< ValueType > &w)

static ValueType	machine_eps ()

static void	Integ_ (Matrix< ValueType > &Mcoeff, Integer order, ConstIterator< ValueType > trg_, ValueType side, Integer src_face, const KernelFunction< ValueType, DIM > &ker, Integer Nq=0)

static void	diff_1d (Integer order, Matrix< ValueType > *M)

Public Attributes
friend	BasisInterface< ValueType, ChebBasis< ValueType > >

Public Attributes inherited from pvfmm::BasisInterface< ValueType, ChebBasis< ValueType > >
friend	Derived

The documentation for this class was generated from the following file:

/home/chenhany/Projects/hmlp/frame/pvfmm/cheb_utils.hpp

Static Public Member Functions

Public Attributes