#include <SpectralQuad.hpp>

Collaboration diagram for moab::SpectralQuad:

Static Public Member Functions
static ErrorCode	evalFcn (const double params, const double field, const int ndim, const int num_tuples, double work, double result)
	Forward-evaluation of field at parametric coordinates.
static ErrorCode	reverseEvalFcn (EvalFcn eval, JacobianFcn jacob, InsideFcn ins, const double posn, const double verts, const int nverts, const int ndim, const double iter_tol, const double inside_tol, double work, double params, int *is_inside)
	Reverse-evaluation of parametric coordinates at physical space position.
static ErrorCode	jacobianFcn (const double params, const double verts, const int nverts, const int ndim, double work, double result)
	Evaluate the jacobian at a specified parametric position.
static ErrorCode	integrateFcn (const double field, const double verts, const int nverts, const int ndim, const int num_tuples, double work, double result)
	Forward-evaluation of field at parametric coordinates.
static ErrorCode	initFcn (const double verts, const int nverts, double &work)
	Initialize this EvalSet.
static int	insideFcn (const double *params, const int ndim, const double tol)
	Function that returns whether or not the parameters are inside the natural space of the element.
static EvalSet	eval_set ()
static bool	compatible (EntityType tp, int numv, EvalSet &eset)
Static Protected Attributes
static int	_n
static double *	_z [2]
static lagrange_data	_ld [2]
static opt_data_2	_data
static double *	_odwork
static bool	_init = false
static double *	_glpoints

Detailed Description

Definition at line 12 of file SpectralQuad.hpp.

Member Function Documentation

static bool moab::SpectralQuad::compatible	(	EntityType	tp,
		int	numv,
		EvalSet &	eset
	)		`[inline, static]`

Definition at line 66 of file SpectralQuad.hpp.

References eval_set(), and MBQUAD.

    {
        if( tp != MBQUAD ) return false;
        int i;
        for( i = 3; i * i == numv || i * i > numv; i++ )
            ;
        if( i * i != numv ) return false;
        eset = eval_set();
        return true;
    }

static EvalSet moab::SpectralQuad::eval_set ( ) [inline, static]

Definition at line 61 of file SpectralQuad.hpp.

Referenced by compatible().

    {
        return EvalSet( evalFcn, reverseEvalFcn, jacobianFcn, integrateFcn, initFcn );
    }

CartVect moab::SpectralQuad::evalFcn	(	const double *	params,
		const double *	field,
		const int	ndim,
		const int	num_tuples,
		double *	work,
		double *	result
	)		`[static]`

Forward-evaluation of field at parametric coordinates.

Definition at line 78 of file SpectralQuad.cpp.

References moab::Element::SpectralQuad::_ld, moab::Element::SpectralQuad::_odwork, moab::Element::SpectralQuad::_xyz, lagrange_0(), and tensor_i2().

{
    // piece that we shouldn't want to cache
    int d = 0;
    for( d = 0; d < 2; d++ )
    {
        lagrange_0( &_ld[d], params[d] );
    }
    CartVect result;
    for( d = 0; d < 3; d++ )
    {
        result[d] = tensor_i2( _ld[0].J, _ld[0].n, _ld[1].J, _ld[1].n, _xyz[d], _odwork );
    }
    return result;
}

static ErrorCode moab::SpectralQuad::initFcn	(	const double *	verts,
		const int	nverts,
		double *&	work
	)		`[static]`

Initialize this EvalSet.

int moab::SpectralQuad::insideFcn	(	const double *	params,
		const int	ndim,
		const double	tol
	)		`[static]`

Function that returns whether or not the parameters are inside the natural space of the element.

Definition at line 166 of file SpectralQuad.cpp.

{
    return EvalSet::inside( params, ndim, tol );
}

static ErrorCode moab::SpectralQuad::integrateFcn	(	const double *	field,
		const double *	verts,
		const int	nverts,
		const int	ndim,
		const int	num_tuples,
		double *	work,
		double *	result
	)		`[static]`

Forward-evaluation of field at parametric coordinates.

static ErrorCode moab::SpectralQuad::jacobianFcn	(	const double *	params,
		const double *	verts,
		const int	nverts,
		const int	ndim,
		double *	work,
		double *	result
	)		`[static]`

Evaluate the jacobian at a specified parametric position.

bool moab::SpectralQuad::reverseEvalFcn	(	EvalFcn	eval,
		JacobianFcn	jacob,
		InsideFcn	ins,
		const double *	posn,
		const double *	verts,
		const int	nverts,
		const int	ndim,
		const double	iter_tol,
		const double	inside_tol,
		double *	work,
		double *	params,
		int *	is_inside
	)		`[static]`

Reverse-evaluation of parametric coordinates at physical space position.

Definition at line 99 of file SpectralQuad.cpp.

References moab::Element::SpectralQuad::_data, moab::Element::SpectralQuad::_xyz, opt_findpt_2(), and opt_no_constraints_3.

{
    params = init;

    // find nearest point
    double x_star[3];
    xyz.get( x_star );

    double r[2] = { 0, 0 };  // initial guess for parametric coords
    unsigned c  = opt_no_constraints_3;
    double dist = opt_findpt_2( &_data, (const double**)_xyz, x_star, r, &c );
    // if it did not converge, get out with throw...
    if( dist > 0.9e+30 )
    {
        std::vector< CartVect > dummy;
        throw Map::EvaluationError( CartVect( x_star ), dummy );
    }
    // c tells us if we landed inside the element or exactly on a face, edge, or node
    // also, dist shows the distance to the computed point.
    // copy parametric coords back
    params = r;

    return insideFcn( params, 2, inside_tol );
}