SplineUtils Namespace Reference

Various utility functions on spline objects. More...

Enumerations
enum class	AdjustOp { Lower , Original , Raise }
	Enumeration of basis adjustment operations. More...

Functions
Vec3	toVec3 (const Go::Point &X, int nsd=3)
	Helper method for casting a Go::Point object to Vec3.
Vec4	toVec4 (const Go::Point &X, Real time=Real(0), const double *u=nullptr)
	Helper method for casting a Go::Point and time object to Vec4.
void	point (Vec3 &X, double u, const Go::SplineCurve *curve)
	Evaluates given spline curve at a parametric point.
void	point (Vec3 &X, double u, double v, const Go::SplineSurface *surf)
	Evaluates given spline surface at a parametric point.
void	point (Vec3 &X, double u, double v, double w, const Go::SplineVolume *vol)
	Evaluates given spline colume at a parametric point.
void	extractBasis (const Go::BasisDerivsSf &spline, Vector &N, Matrix &dNdu)
	Establishes matrices with basis functions and 1st derivatives.
void	extractBasis (const Go::BasisDerivsSf2 &spline, Vector &N, Matrix &dNdu, Matrix3D &d2Ndu2)
	Establishes matrices with basis functions, 1st and 2nd derivatives.
void	extractBasis (const Go::BasisDerivsSf3 &spline, Vector &N, Matrix &dNdu, Matrix3D &d2Ndu2, Matrix4D &d3Ndu3)
	Establishes matrices with basis functions, 1st, 2nd and 3rd derivatives.
void	extractBasis (const Go::BasisDerivs &spline, Vector &N, Matrix &dNdu)
	Establishes matrices with basis functions and 1st derivatives.
void	extractBasis (const Go::BasisDerivs2 &spline, Vector &N, Matrix &dNdu, Matrix3D &d2Ndu2)
	Establishes matrices with basis functions, 1st and 2nd derivatives.
void	getGaussParameters (RealArray &uGP, int nGP, const double *xi, const Go::BsplineBasis &basis, bool skipNullSpans=false)
	Extracts parameter values of the Gauss points for a spline basis. More...
Go::SplineCurve *	project (const Go::SplineCurve *curve, const FunctionBase &f, int nComp=1, Real time=Real(0))
	Projects a spatial function onto a spline curve.
Go::SplineSurface *	project (const Go::SplineSurface *surface, const FunctionBase &f, int nComp=1, Real time=Real(0))
	Projects a spatial function onto a spline surface.
Go::SplineVolume *	project (const Go::SplineVolume *volume, const FunctionBase &f, int nComp=1, Real time=Real(0))
	Projects a spatial function onto a spline volume.
Go::BsplineBasis	adjustBasis (const Go::BsplineBasis &basis, AdjustOp adjust)
	Returns a basis adjusted according to the given operation.
std::vector< double >	buildKnotVector (int p, const std::vector< double > &simple_knots, const std::vector< int > &continuities)
	Builds a knot vector from a given polynomial order, knots and continuities.

Detailed Description

Various utility functions on spline objects.

Enumeration Type Documentation

AdjustOp

enum SplineUtils::AdjustOp

strong

Enumeration of basis adjustment operations.

Enumerator
Lower	Lower order by one.
Original	Keep original.
Raise	Raise order by one.

Function Documentation

getGaussParameters()

void SplineUtils::getGaussParameters	(	RealArray &	uGP,
		int	nGP,
		const double *	xi,
		const Go::BsplineBasis &	basis,
		bool	skipNullSpans = false
	)

Extracts parameter values of the Gauss points for a spline basis.

Parameters

[out]	uGP	Parameter values for all points
[in]	nGP	Number of Gauss points along a knot-span
[in]	xi	Dimensionless Gauss point coordinates [-1,1]
[in]	basis	Spline basis to calculate Gauss point parameters for
[in]	skipNullSpans	If true, consider non-zero knot spans only

Referenced by ASMs1D::assembleL2matrices(), ASMs2D::assembleL2matrices(), ASMs3D::assembleL2matrices(), ASMs2D::getGaussPointParameters(), ASMs3D::getGaussPointParameters(), ASMs1D::integrate(), ASMs2D::integrate(), ASMs2Dmx::integrate(), ASMs3D::integrate(), ASMs3Dmx::integrate(), ASMs2D::projectSolutionLeastSquare(), ASMs3D::projectSolutionLeastSquare(), and ASMs2D::scRecovery().