PyramidModal

Modal basis on the reference pyramid.

template <
  size_t K>
class PyramidModal;

Public types

struct Values: Selects the value column of caller-owned modal rows.
struct Gradients: Selects the three derivative columns of caller-owned modal rows.
using Tabulation = std::array<std::array<Real, 4>, PyramidIndex<K>::Count>: Fixed modal rows containing a value followed by three derivatives.

static auto getBasis(size_t mode, const Math::SpatialPoint& r) -> Real: Gets the basis function of a local degree of freedom.
static auto getDerivative(size_t mode, size_t deriv, const Math::SpatialPoint& r) -> Real: Gets the derivative of the basis function.
static void tabulate(Tabulation& output, const Math::SpatialPoint& rc): Tabulates all four modal columns with shared point-local work.
static void tabulate(Values values, const Math::SpatialPoint& rc): Tabulates modal values at one point.
static void tabulate(Gradients gradients, const Math::SpatialPoint& rc): Tabulates modal reference gradients at one point.

Fixed modal rows containing a value followed by three derivatives.

Row contains . Its compile-time layout retains the original point-local modal workspace.

Gets the basis function of a local degree of freedom.

Parameters
mode	Basis-mode index.
r	Point at which the operation is evaluated.
Returns	Value of the selected local basis function at the evaluation point.

Gets the derivative of the basis function.

Parameters
mode	Basis-mode index.
deriv	Coordinate direction of differentiation.
r	Point at which the operation is evaluated.
Returns	Derivative evaluated at the supplied point.

Tabulates all four modal columns with shared point-local work.

Parameters
output	Caller-owned fixed-layout modal rows.
rc	Three reference coordinates, with optional trailing padding.
Exceptions
Alert::Exception	If coordinates are invalid.

Tabulates modal values at one point.

Tabulates modal reference gradients at one point.