QwtSpline (3) - Linux Man Pages

NAME

QwtSpline -

A class for spline interpolation.

SYNOPSIS


#include <qwt_spline.h>

Public Types


enum SplineType { Natural, Periodic }
Spline type.

Public Member Functions


QwtSpline ()
Constructor.
QwtSpline (const QwtSpline &)

~QwtSpline ()
Destructor.
QwtSpline & operator= (const QwtSpline &)

void setSplineType (SplineType)

SplineType splineType () const

bool setPoints (const QPolygonF &points)
Calculate the spline coefficients.
QPolygonF points () const

void reset ()
Free allocated memory and set size to 0.
bool isValid () const
True if valid.
double value (double x) const

const QVector< double > & coefficientsA () const

const QVector< double > & coefficientsB () const

const QVector< double > & coefficientsC () const

Protected Member Functions


bool buildNaturalSpline (const QPolygonF &)
Determines the coefficients for a natural spline.
bool buildPeriodicSpline (const QPolygonF &)
Determines the coefficients for a periodic spline.

Detailed Description

A class for spline interpolation.

The QwtSpline class is used for cubical spline interpolation. Two types of splines, natural and periodic, are supported.

Usage:

1.
First call setPoints() to determine the spline coefficients for a tabulated function y(x).
2.
After the coefficients have been set up, the interpolated function value for an argument x can be determined by calling QwtSpline::value().

Example:

#include <qwt_spline.h>

QPolygonF interpolate(const QPolygonF& points, int numValues)
{
    QwtSpline spline;
    if ( !spline.setPoints(points) )
        return points;

    QPolygonF interpolatedPoints(numValues);

    const double delta =
        (points[numPoints - 1].x() - points[0].x()) / (points.size() - 1);
    for(i = 0; i < points.size(); i++)  / interpolate
    {
        const double x = points[0].x() + i * delta;
        interpolatedPoints[i].setX(x);
        interpolatedPoints[i].setY(spline.value(x));
    }
    return interpolatedPoints;
}


 

Member Enumeration Documentation

enum QwtSpline::SplineType

Spline type.

Enumerator

Natural
A natural spline.
Periodic
A periodic spline.

Constructor & Destructor Documentation

QwtSpline::QwtSpline (const QwtSpline &other)

Copy constructor

Parameters:

other Spline used for initialization

Member Function Documentation

bool QwtSpline::buildNaturalSpline (const QPolygonF &points) [protected]

Determines the coefficients for a natural spline.

Returns:

true if successful

bool QwtSpline::buildPeriodicSpline (const QPolygonF &points) [protected]

Determines the coefficients for a periodic spline.

Returns:

true if successful

const QVector< double > & QwtSpline::coefficientsA () const

Returns:

A coefficients

const QVector< double > & QwtSpline::coefficientsB () const

Returns:

B coefficients

const QVector< double > & QwtSpline::coefficientsC () const

Returns:

C coefficients

QwtSpline & QwtSpline::operator= (const QwtSpline &other)

Assignment operator

Parameters:

other Spline used for initialization

Returns:

*this

QPolygonF QwtSpline::points () const

Returns:

Points, that have been by setPoints()

bool QwtSpline::setPoints (const QPolygonF &points)

Calculate the spline coefficients. Depending on the value of periodic, this function will determine the coefficients for a natural or a periodic spline and store them internally.

Parameters:

points Points

Returns:

true if successful

Warning:

The sequence of x (but not y) values has to be strictly monotone increasing, which means points[i].x() < points[i+1].x(). If this is not the case, the function will return false

void QwtSpline::setSplineType (SplineTypesplineType)

Select the algorithm used for calculating the spline

Parameters:

splineType Spline type

See Also:

splineType()

QwtSpline::SplineType QwtSpline::splineType () const

Returns:

the spline type

See Also:

setSplineType()

double QwtSpline::value (doublex) const

Calculate the interpolated function value corresponding to a given argument x.

Parameters:

x Coordinate

Returns:

Interpolated coordinate

Author

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