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QwtSplineC1 Class Referenceabstract

Base class for spline interpolations providing a first order parametric continuity ( C1 ) between adjoining curves. More...

`#include <qwt_spline.h>`

Inheritance diagram for QwtSplineC1:

## Public Member Functions

| QwtSplineC1 ()
| Constructor.
virtual | ~QwtSplineC1 ()
| Destructor.
virtual QPainterPath | painterPath (const QPolygonF &) const override
| Calculate an interpolated painter path.
virtual QVector< QLineF > | bezierControlLines (const QPolygonF &) const override
| Interpolate a curve with Bezier curves.
virtual QPolygonF | equidistantPolygon (const QPolygonF &, double distance, bool withNodes) const override
| Find an interpolated polygon with "equidistant" points.
virtual QVector< QwtSplinePolynomial > | polynomials (const QPolygonF &) const
| Calculate the interpolating polynomials for a non parametric spline.
virtual QVector< double > | slopes (const QPolygonF &) const =0
| Find the first derivative at the control points.
virtual double | slopeAtBeginning (const QPolygonF &, double slopeNext) const
virtual double | slopeAtEnd (const QPolygonF &, double slopeBefore) const
Public Member Functions inherited from QwtSplineG1
| QwtSplineG1 ()
| Constructor.
virtual | ~QwtSplineG1 ()
| Destructor.
Public Member Functions inherited from QwtSplineInterpolating
| QwtSplineInterpolating ()
| Constructor.
virtual | ~QwtSplineInterpolating ()
| Destructor.
virtual QPolygonF | polygon (const QPolygonF &, double tolerance) const override
| Interpolate a curve by a polygon.
Public Member Functions inherited from QwtSpline
| QwtSpline ()
| Constructor.
virtual | ~QwtSpline ()
| Destructor.
void | setParametrization (int type)
void | setParametrization (QwtSplineParametrization *)
const QwtSplineParametrization * | parametrization () const
void | setBoundaryType (BoundaryType)
BoundaryType | boundaryType () const
void | setBoundaryValue (BoundaryPosition, double value)
| Define the boundary value.
double | boundaryValue (BoundaryPosition) const
void | setBoundaryCondition (BoundaryPosition, int condition)
| Define the condition for an endpoint of the spline.
int | boundaryCondition (BoundaryPosition) const
void | setBoundaryConditions (int condition, double valueBegin=0.0, double valueEnd=0.0)
| Define the condition at the endpoints of a spline.
virtual uint | locality () const

## Additional Inherited Members

Public Types inherited from QwtSpline
enum | BoundaryType { ConditionalBoundaries , PeriodicPolygon , ClosedPolygon }
enum | BoundaryPosition { AtBeginning , AtEnd }
enum | BoundaryCondition { Clamped1 , Clamped2 , Clamped3 , LinearRunout }
| Boundary condition. More...

## Detailed Description

Base class for spline interpolations providing a first order parametric continuity ( C1 ) between adjoining curves.

All interpolations with C1 continuity are based on rules for finding the 1. derivate at some control points.

In case of non parametric splines those points are the curve points, while for parametric splines the calculation is done twice using a parameter value t.

See also
  QwtSplineParametrization

Definition at line 235 of file qwt_spline.h.

## Constructor & Destructor Documentation

## QwtSplineC1()

QwtSplineC1::QwtSplineC1 | ( |  | ) |

Constructor.

The default setting is a non closing spline with no parametrization ( QwtSplineParametrization::ParameterX ).

See also
  QwtSpline::setParametrization(), QwtSpline::setBoundaryType()

Definition at line 962 of file qwt_spline.cpp.

## ~QwtSplineC1()

QwtSplineC1::~QwtSplineC1 | ( |  | ) |

virtual

Destructor.

Definition at line 968 of file qwt_spline.cpp.

## Member Function Documentation

## bezierControlLines()

QVector< QLineF > QwtSplineC1::bezierControlLines | ( | const QPolygonF & | points | ) | const

override virtual

Interpolate a curve with Bezier curves.

Interpolates a polygon piecewise with cubic Bezier curves and returns the 2 control points of each curve as QLineF.

Parameters

  points | Control points

Returns
  Control points of the interpolating Bezier curves

Implements QwtSplineInterpolating.

Reimplemented in QwtSplineC2, QwtSplineLocal, and QwtSplineCubic.

Definition at line 1101 of file qwt_spline.cpp.

## equidistantPolygon()

QPolygonF QwtSplineC1::equidistantPolygon | ( | const QPolygonF & | points,
|  | double | distance,
|  | bool | withNodes ) const

override virtual

Find an interpolated polygon with "equidistant" points.

The implementation is optimzed for non parametric curves ( QwtSplineParametrization::ParameterX ) and falls back to QwtSpline::equidistantPolygon() otherwise.

Parameters

  points | Control nodes of the spline
  distance | Distance between 2 points according to the parametrization
  withNodes | When true, also add the control nodes ( even if not being equidistant )

Returns
  Interpolating polygon

See also
  QwtSpline::equidistantPolygon()

Reimplemented from QwtSplineInterpolating.

Reimplemented in QwtSplineC2.

Definition at line 1167 of file qwt_spline.cpp.

## painterPath()

QPainterPath QwtSplineC1::painterPath | ( | const QPolygonF & | points | ) | const

override virtual

Calculate an interpolated painter path.

Interpolates a polygon piecewise into cubic Bezier curves and returns them as QPainterPath.

The implementation calculates the slopes at the control points and converts them into painter path elements in an additional loop.

Parameters

  points | Control points

Returns
  QPainterPath Painter path, that can be rendered by QPainter

Note
  Derived spline classes might overload painterPath() to avoid the extra loops for converting results into a QPainterPath

Reimplemented from QwtSplineInterpolating.

Reimplemented in QwtSplineC2, QwtSplineCubic, and QwtSplineLocal.

Definition at line 1043 of file qwt_spline.cpp.

## polynomials()

QVector< QwtSplinePolynomial > QwtSplineC1::polynomials | ( | const QPolygonF & | points | ) | const

virtual

Calculate the interpolating polynomials for a non parametric spline.

C1 spline interpolations are based on finding values for the first derivates at the control points. The interpolating polynomials can be calculated from the the first derivates using QwtSplinePolynomial::fromSlopes().

The default implementation is a two pass calculation. In derived classes it might be overloaded by a one pass implementation.

Parameters

  points | Control points

Returns
  Interpolating polynomials

Note
  The x coordinates need to be increasing or decreasing

Reimplemented in QwtSplineC2, QwtSplineCubic, and QwtSplineLocal.

Definition at line 1201 of file qwt_spline.cpp.

## slopeAtBeginning()

double QwtSplineC1::slopeAtBeginning | ( | const QPolygonF & | points,
|  | double | slopeNext ) const

virtual

Parameters

  points | Control points
  slopeNext | Value of the first derivative at the second point

Returns
  value of the first derivative at the first point

See also
  slopeAtEnd(), QwtSpline::boundaryCondition(), QwtSpline::boundaryValue()

Definition at line 979 of file qwt_spline.cpp.

## slopeAtEnd()

double QwtSplineC1::slopeAtEnd | ( | const QPolygonF & | points,
|  | double | slopeBefore ) const

virtual

Parameters

  points | Control points
  slopeBefore | Value of the first derivative at the point before the last one

Returns
  value of the first derivative at the last point

See also
  slopeAtBeginning(), QwtSpline::boundaryCondition(), QwtSpline::boundaryValue()

Definition at line 997 of file qwt_spline.cpp.

## slopes()

QVector< double > QwtSplineC1::slopes | ( | const QPolygonF & | points | ) | const

pure virtual

Find the first derivative at the control points.

Parameters

  points | Control nodes of the spline

Returns
  Vector with the values of the 2nd derivate at the control points

Note
  The x coordinates need to be increasing or decreasing

Implemented in QwtSplineC2, QwtSplineCubic, and QwtSplineLocal.