Kratos::SplineCurveUtilities Class Reference

Short class definition. More...

#include <spline_curve_utilities.hpp>

Collaboration diagram for Kratos::SplineCurveUtilities:

Classes
struct	SplineType

Public Types
Type Definitions
typedef ModelPart::NodesContainerType	NodesContainerType
typedef array_1d< double, 3 >	PointType
typedef Node	NodeType
typedef NodeType::Pointer	NodePointerType
typedef std::vector< NodePointerType >	NodePointerTypeVector
typedef std::vector< NodeType >	NodeTypeVector
typedef NodePointerTypeVector::iterator	NodePointerIterator
typedef std::vector< double >	DistanceVector
typedef std::vector< double >::iterator	DistanceIterator
typedef Bucket< 3, NodeType, NodePointerTypeVector, NodePointerType, NodePointerIterator, DistanceIterator >	BucketType
typedef Tree< KDTreePartition< BucketType > >	KdtreeType

Public Member Functions
Life Cycle
	SplineCurveUtilities ()
	Default constructor. More...
	SplineCurveUtilities (bool Parallel)
	~SplineCurveUtilities ()
	Destructor. More...

Operations
void	CreateParametrizedCurve (NodePointerTypeVector &rGeneratrixPoints, NodePointerTypeVector &rKnotsList, int m)
double	AdaptiveIntegration (SplineType &rSpline)
double	IntegrateSubInterval (SplineType &rSpline, int n=0)
double	ArchLengthGeometricIntegration (SplineType &rSpline, double &a, double &b)
double	SimpsonRuleIntegration (SplineType &rSpline, double &a, double &b, double n=1)
double	SplineGeometricLength (SplineType &rSpline, double &t)
void	SetSpline (SplineType &rOutputSpline, const SplineType &rInputSpline)
void	SetSpline (SplineType &rSpline, const PointType &P0, const PointType &P1, const PointType &P2, const PointType &P3)
void	SetSpline (SplineType &rSpline, const NodePointerTypeVector &rKnotsList, int &id)
PointType &	CalculatePointProjection (const PointType &rPoint, KdtreeType &rKnotsKdtree, const NodePointerTypeVector &rKnotsList, PointType &rPointProjection)
int	GetClosestKnotId (const PointType &rPoint, KdtreeType &rKnotsKdtree, double &rPointDistance)
double	CombinedMethod (const PointType &rPoint, const NodePointerTypeVector &rKnotsList, SplineType &rSpline, double s=0.5)
double	NewtonsMethod (const PointType &rPoint, const NodePointerTypeVector &rKnotsList, SplineType &rSpline, double Spredict=0, double iters=20, double s=0.5)
double	QuadraticMinimizationMethod (const PointType &rPoint, const NodePointerTypeVector &rKnotsList, SplineType &rSpline, double iters, double s=0.5)
double	EvaluateDistancePolynomial (const Vector &rFunction, const Vector &rEstimates, double &Sk)
Vector &	CalculateArchLengthDifferences (Vector &rDifference, const Vector &rEstimates)
Vector &	CalculateSquareArchLengthDifferences (Vector &rSquareDifference, const Vector &rEstimates)
Vector &	CalculateDistancePolynomialBasis (Vector &rPolynomialBasis, const Vector &rEstimates, double &rValue)
double	SquareDistancePointToSpline (const PointType &rPoint, const SplineType &rSpline, double &t)
double	FirstDerivativeSquareDistancePointToSpline (const PointType &rPoint, const SplineType &rSpline, double &t)
double	SecondDerivativeSquareDistancePointToSpline (const PointType &rPoint, const SplineType &rSpline, double &t)
PointType &	PointOnCurve (PointType &rPoint, const SplineType &rSpline, double &t, double s=0.5)
PointType	PointOnCurveFirstDerivative (const SplineType &rSpline, double &t, double s=0.5)
PointType	PointOnCurveSecondDerivative (const SplineType &rSpline, double &t, double s=0.5)
static std::vector< Vector > &	SplineCoefficients (const SplineType &rSpline, std::vector< Vector > &rCoefficients, double s=0.5)
static Vector &	SplineBasis (Vector &Basis, double &t, double s=0.5)
static Vector &	FirstDerivativeSplineBasis (Vector &Basis, double &t, double s=0.5)
static Vector &	SecondDerivativeSplineBasis (Vector &Basis, double &t, double s=0.5)

Detailed Description

Short class definition.

Computes the energy

Member Typedef Documentation

BucketType

typedef Bucket<3, NodeType, NodePointerTypeVector, NodePointerType, NodePointerIterator, DistanceIterator > Kratos::SplineCurveUtilities::BucketType

DistanceIterator

typedef std::vector<double>::iterator Kratos::SplineCurveUtilities::DistanceIterator

DistanceVector

typedef std::vector<double> Kratos::SplineCurveUtilities::DistanceVector

KdtreeType

typedef Tree< KDTreePartition<BucketType> > Kratos::SplineCurveUtilities::KdtreeType

NodePointerIterator

typedef NodePointerTypeVector::iterator Kratos::SplineCurveUtilities::NodePointerIterator

NodePointerType

typedef NodeType::Pointer Kratos::SplineCurveUtilities::NodePointerType

NodePointerTypeVector

typedef std::vector<NodePointerType> Kratos::SplineCurveUtilities::NodePointerTypeVector

NodesContainerType

typedef ModelPart::NodesContainerType Kratos::SplineCurveUtilities::NodesContainerType

NodeType

typedef Node Kratos::SplineCurveUtilities::NodeType

NodeTypeVector

typedef std::vector<NodeType> Kratos::SplineCurveUtilities::NodeTypeVector

PointType

typedef array_1d<double, 3> Kratos::SplineCurveUtilities::PointType

Constructor & Destructor Documentation

SplineCurveUtilities() [1/2]

Kratos::SplineCurveUtilities::SplineCurveUtilities ( )

inline

Default constructor.

SplineCurveUtilities() [2/2]

Kratos::SplineCurveUtilities::SplineCurveUtilities ( bool  Parallel )

inline

~SplineCurveUtilities()

Kratos::SplineCurveUtilities::~SplineCurveUtilities ( )

inline

Destructor.

Member Function Documentation

AdaptiveIntegration()

double Kratos::SplineCurveUtilities::AdaptiveIntegration ( SplineType &  rSpline )

inline

ArchLengthGeometricIntegration()

double Kratos::SplineCurveUtilities::ArchLengthGeometricIntegration ( SplineType &  rSpline, double &  a, double &  b  )

inline

CalculateArchLengthDifferences()

Vector& Kratos::SplineCurveUtilities::CalculateArchLengthDifferences ( Vector &  rDifference, const Vector &  rEstimates  )

inline

CalculateDistancePolynomialBasis()

Vector& Kratos::SplineCurveUtilities::CalculateDistancePolynomialBasis ( Vector &  rPolynomialBasis, const Vector &  rEstimates, double &  rValue  )

inline

CalculatePointProjection()

PointType& Kratos::SplineCurveUtilities::CalculatePointProjection ( const PointType &  rPoint, KdtreeType &  rKnotsKdtree, const NodePointerTypeVector &  rKnotsList, PointType &  rPointProjection  )

inline

CalculateSquareArchLengthDifferences()

Vector& Kratos::SplineCurveUtilities::CalculateSquareArchLengthDifferences ( Vector &  rSquareDifference, const Vector &  rEstimates  )

inline

CombinedMethod()

double Kratos::SplineCurveUtilities::CombinedMethod ( const PointType &  rPoint, const NodePointerTypeVector &  rKnotsList, SplineType &  rSpline, double  s = 0.5  )

inline

CreateParametrizedCurve()

void Kratos::SplineCurveUtilities::CreateParametrizedCurve ( NodePointerTypeVector &  rGeneratrixPoints, NodePointerTypeVector &  rKnotsList, int  m  )

inline

EvaluateDistancePolynomial()

double Kratos::SplineCurveUtilities::EvaluateDistancePolynomial ( const Vector &  rFunction, const Vector &  rEstimates, double &  Sk  )

inline

FirstDerivativeSplineBasis()

static Vector& Kratos::SplineCurveUtilities::FirstDerivativeSplineBasis ( Vector &  Basis, double &  t, double  s = 0.5  )

inlinestatic

Return the cubic basis for a Catmull-Rom spline first derivative set a normalized distance t, and the spline parameter s

FirstDerivativeSquareDistancePointToSpline()

double Kratos::SplineCurveUtilities::FirstDerivativeSquareDistancePointToSpline ( const PointType &  rPoint, const SplineType &  rSpline, double &  t  )

inline

GetClosestKnotId()

int Kratos::SplineCurveUtilities::GetClosestKnotId ( const PointType &  rPoint, KdtreeType &  rKnotsKdtree, double &  rPointDistance  )

inline

IntegrateSubInterval()

double Kratos::SplineCurveUtilities::IntegrateSubInterval ( SplineType &  rSpline, int  n = 0  )

inline

NewtonsMethod()

double Kratos::SplineCurveUtilities::NewtonsMethod ( const PointType &  rPoint, const NodePointerTypeVector &  rKnotsList, SplineType &  rSpline, double  Spredict = 0, double  iters = 20, double  s = 0.5  )

inline

PointOnCurve()

PointType& Kratos::SplineCurveUtilities::PointOnCurve ( PointType &  rPoint, const SplineType &  rSpline, double &  t, double  s = 0.5  )

inline

Return a point on the curve between P1 and P2 with P0 and P3 describing curvature, at the normalized distance t, and the spline parameter s

PointOnCurveFirstDerivative()

PointType Kratos::SplineCurveUtilities::PointOnCurveFirstDerivative ( const SplineType &  rSpline, double &  t, double  s = 0.5  )

inline

Return a point on the curve between P1 and P2 with P0 and P3 describing curvature, at the normalized distance t, and the spline parameter s

PointOnCurveSecondDerivative()

PointType Kratos::SplineCurveUtilities::PointOnCurveSecondDerivative ( const SplineType &  rSpline, double &  t, double  s = 0.5  )

inline

Return a point on the curve between P1 and P2 with P0 and P3 describing curvature, at the normalized distance t, and the spline parameter s

QuadraticMinimizationMethod()

double Kratos::SplineCurveUtilities::QuadraticMinimizationMethod ( const PointType &  rPoint, const NodePointerTypeVector &  rKnotsList, SplineType &  rSpline, double  iters, double  s = 0.5  )

inline

SecondDerivativeSplineBasis()

static Vector& Kratos::SplineCurveUtilities::SecondDerivativeSplineBasis ( Vector &  Basis, double &  t, double  s = 0.5  )

inlinestatic

Return the cubic basis for a Catmull-Rom spline second derivative set a normalized distance t, and the spline parameter s

SecondDerivativeSquareDistancePointToSpline()

double Kratos::SplineCurveUtilities::SecondDerivativeSquareDistancePointToSpline ( const PointType &  rPoint, const SplineType &  rSpline, double &  t  )

inline

SetSpline() [1/3]

void Kratos::SplineCurveUtilities::SetSpline ( SplineType &  rOutputSpline, const SplineType &  rInputSpline  )

inline

SetSpline() [2/3]

void Kratos::SplineCurveUtilities::SetSpline ( SplineType &  rSpline, const NodePointerTypeVector &  rKnotsList, int &  id  )

inline

SetSpline() [3/3]

void Kratos::SplineCurveUtilities::SetSpline ( SplineType &  rSpline, const PointType &  P0, const PointType &  P1, const PointType &  P2, const PointType &  P3  )

inline

SimpsonRuleIntegration()

double Kratos::SplineCurveUtilities::SimpsonRuleIntegration ( SplineType &  rSpline, double &  a, double &  b, double  n = 1  )

inline

SplineBasis()

static Vector& Kratos::SplineCurveUtilities::SplineBasis ( Vector &  Basis, double &  t, double  s = 0.5  )

inlinestatic

Return the cubic basis for a Catmull-Rom spline set a normalized distance t, and the spline parameter s

SplineCoefficients()

static std::vector<Vector>& Kratos::SplineCurveUtilities::SplineCoefficients ( const SplineType &  rSpline, std::vector< Vector > &  rCoefficients, double  s = 0.5  )

inlinestatic

Return the cubic basis for a Catmull-Rom spline set spline general coefficients for a given segment

SplineGeometricLength()

double Kratos::SplineCurveUtilities::SplineGeometricLength ( SplineType &  rSpline, double &  t  )

inline

SquareDistancePointToSpline()

double Kratos::SplineCurveUtilities::SquareDistancePointToSpline ( const PointType &  rPoint, const SplineType &  rSpline, double &  t  )

inline

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

• /home/runner/work/Documentation/Documentation/master/applications/ContactMechanicsApplication/custom_utilities/spline_curve_utilities.hpp