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Qwt User's Guide 6.3.0
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A cubic polynomial without constant term. More...
#include <qwt_spline_polynomial.h>
Public Member Functions | |
| QwtSplinePolynomial (double c3=0.0, double c2=0.0, double c1=0.0) | |
| Constructor. | |
| bool | operator== (const QwtSplinePolynomial &) const |
| bool | operator!= (const QwtSplinePolynomial &) const |
| double | valueAt (double x) const |
| double | slopeAt (double x) const |
| double | curvatureAt (double x) const |
Static Public Member Functions | |
| static QwtSplinePolynomial | fromSlopes (const QPointF &p1, double m1, const QPointF &p2, double m2) |
| static QwtSplinePolynomial | fromSlopes (double x, double y, double m1, double m2) |
| static QwtSplinePolynomial | fromCurvatures (const QPointF &p1, double cv1, const QPointF &p2, double cv2) |
| static QwtSplinePolynomial | fromCurvatures (double dx, double dy, double cv1, double cv2) |
Public Attributes | |
| double | c3 |
| coefficient of the cubic summand | |
| double | c2 |
| coefficient of the quadratic summand | |
| double | c1 |
| coefficient of the linear summand | |
A cubic polynomial without constant term.
QwtSplinePolynomial is a 3rd degree polynomial of the form: y = c3 * x³ + c2 * x² + c1 * x;
QwtSplinePolynomial is usually used in combination with polygon interpolation, where it is not necessary to store a constant term ( c0 ), as the translation is known from the corresponding polygon points.
Definition at line 30 of file qwt_spline_polynomial.h.
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inline |
Constructor.
| a3 | Coefficient of the cubic summand |
| a2 | Coefficient of the quadratic summand |
| a1 | Coefficient of the linear summand |
Definition at line 77 of file qwt_spline_polynomial.h.
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inline |
Calculate the value of the second derivate of a polynomial for a given x
| x | Parameter |
Definition at line 130 of file qwt_spline_polynomial.h.
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inlinestatic |
Find the coefficients for the polynomial including 2 points with specific values for the 2nd derivates at these points.
| p1 | First point |
| cv1 | Value of the second derivate at p1 |
| p2 | Second point |
| cv2 | Value of the second derivate at p2 |
Definition at line 185 of file qwt_spline_polynomial.h.
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inlinestatic |
Find the coefficients for the polynomial from the offset between 2 points and specific values for the 2nd derivates at these points.
| dx | X-offset |
| dy | Y-offset |
| cv1 | Value of the second derivate at p1 |
| cv2 | Value of the second derivate at p2 |
Definition at line 202 of file qwt_spline_polynomial.h.
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inlinestatic |
Find the coefficients for the polynomial including 2 points with specific values for the 1st derivates at these points.
| p1 | First point |
| m1 | Value of the first derivate at p1 |
| p2 | Second point |
| m2 | Value of the first derivate at p2 |
Definition at line 147 of file qwt_spline_polynomial.h.
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inlinestatic |
Find the coefficients for the polynomial from the offset between 2 points and specific values for the 1st derivates at these points.
| dx | X-offset |
| dy | Y-offset |
| m1 | Value of the first derivate at p1 |
| m2 | Value of the first derivate at p2 |
Definition at line 164 of file qwt_spline_polynomial.h.
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inline |
| other | Other polynomial |
Definition at line 97 of file qwt_spline_polynomial.h.
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inline |
| other | Other polynomial |
Definition at line 88 of file qwt_spline_polynomial.h.
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inline |
Calculate the value of the first derivate of a polynomial for a given x
| x | Parameter |
Definition at line 119 of file qwt_spline_polynomial.h.
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inline |
Calculate the value of a polynomial for a given x
| x | Parameter |
Definition at line 108 of file qwt_spline_polynomial.h.
| double QwtSplinePolynomial::c1 |
coefficient of the linear summand
Definition at line 64 of file qwt_spline_polynomial.h.
| double QwtSplinePolynomial::c2 |
coefficient of the quadratic summand
Definition at line 61 of file qwt_spline_polynomial.h.
| double QwtSplinePolynomial::c3 |
coefficient of the cubic summand
Definition at line 58 of file qwt_spline_polynomial.h.