CubicHermiteSpline1d.Knot (Artisynth API documentation)

java.lang.Object
- maspack.interpolation.CubicHermiteSpline1d.Knot

Enclosing class:

CubicHermiteSpline1d
```
public static class CubicHermiteSpline1d.Knot
extends java.lang.Object
```
Describes a single knot for a specific value of x. This contains values of y and its derivative. If this is not the final knot in the spline, then it also stores additional coefficients for cubic interpolation within the interval defined by this knot and the one following it.

Constructor Summary

Constructors
Constructor and Description

Knot()

Knot(double x0, double y0, double dy0)

Constructors
Constructor and Description
`Knot()`
`Knot(double x0, double y0, double dy0)`

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`void`	`clearCoefficients()`
`void`	`computeCoefficients(CubicHermiteSpline1d.Knot next)` Computes coefficents for interpolating within the interval between this knot and the one following it.
`CubicHermiteSpline1d.Knot`	`copy()` Creates a copy of this knot.
`boolean`	`equals(CubicHermiteSpline1d.Knot knot)`
`double`	`eval(double x)`
`double`	`evalDeriv(double x)`
`double`	`evalDeriv2(double x)`
`double`	`getA2()`
`double`	`getA3()`
`double`	`getDy()`
`double`	`getDy2()`
`double`	`getDy3()`
`int`	`getIndex()`
`double`	`getX()`
`double`	`getY()`
`double`	`getY(double alpha)`
`boolean`	`hasZeroDy(CubicHermiteSpline1d.Knot next)` Returns true if y'(x) contain a zero within this knot interval (including at the interval end points).
`boolean`	`isStrictlyMonotone(CubicHermiteSpline1d.Knot next)` Returns true if y(x) is strictly monotone on the interval between this knot and the next.
`void`	`set(double x0, double y0, double dy0)`
`void`	`setDy(double dy)`
`void`	`setIndex(int idx)`
`void`	`setX(double x)`
`void`	`setY(double y)`
`double`	`solveX(double y, CubicHermiteSpline1d.Knot next)` Solves for x given a value of y associated with this interval.
`double`	`solveX(double y, double alpha, CubicHermiteSpline1d.Knot next)` Solves for x given a value of y associated with this interval.
`java.lang.String`	`toString()`

Methods inherited from class java.lang.Object
equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Knot
```
public Knot()
```

Knot

public Knot(double x0,
            double y0,
            double dy0)

Method Detail

set

public void set(double x0,
                double y0,
                double dy0)

eval
```
public double eval(double x)
```

evalDeriv
```
public double evalDeriv(double x)
```

evalDeriv2
```
public double evalDeriv2(double x)
```

computeCoefficients
```
public void computeCoefficients(CubicHermiteSpline1d.Knot next)
```
Computes coefficents for interpolating within the interval between this knot and the one following it.

clearCoefficients
```
public void clearCoefficients()
```

getX
```
public double getX()
```

getY
```
public double getY()
```

getY
```
public double getY(double alpha)
```

getDy
```
public double getDy()
```

getDy2
```
public double getDy2()
```

getDy3
```
public double getDy3()
```

setX
```
public void setX(double x)
```

setY
```
public void setY(double y)
```

setDy
```
public void setDy(double dy)
```

getA2
```
public double getA2()
```

getA3
```
public double getA3()
```

hasZeroDy
```
public boolean hasZeroDy(CubicHermiteSpline1d.Knot next)
```
Returns true if y'(x) contain a zero within this knot interval (including at the interval end points).

isStrictlyMonotone
```
public boolean isStrictlyMonotone(CubicHermiteSpline1d.Knot next)
```
Returns true if y(x) is strictly monotone on the interval between this knot and the next.

solveX
```
public double solveX(double y,
                     CubicHermiteSpline1d.Knot next)
```
Solves for x given a value of y associated with this interval. It is assumed that we have already determined that a unqiue solution exists. If by some chance multiple roots are found, we return the first.

solveX
```
public double solveX(double y,
                     double alpha,
                     CubicHermiteSpline1d.Knot next)
```
Solves for x given a value of y associated with this interval. alpha defines an additional linear term alpha x that should be added to the segment's value. It is assumed that we have already determined that a unqiue solution exists. If by some chance multiple roots are found, we return the first.

copy
```
public CubicHermiteSpline1d.Knot copy()
```
Creates a copy of this knot. All coefficients are copied except the index.

getIndex
```
public int getIndex()
```

setIndex
```
public void setIndex(int idx)
```

toString
```
public java.lang.String toString()
```
Overrides:

toString in class java.lang.Object

equals

public boolean equals(CubicHermiteSpline1d.Knot knot)

Class CubicHermiteSpline1d.Knot

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

Knot

Knot

Method Detail

set

eval

evalDeriv

evalDeriv2

computeCoefficients

clearCoefficients

getX

getY

getY

getDy

getDy2

getDy3

setX

setY

setDy

getA2

getA3

hasZeroDy

isStrictlyMonotone

solveX

solveX

copy

getIndex

setIndex

toString

equals