[IoId("00000000-e8ed-436c-b960-abdd74a92562")] public sealed class SmoothMaximumFunction : FunctionFGH<Function, Function, Function>
The smooth maximum of two functions.

Constructors

SmoothMaximumFunction

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public SmoothMaximumFunction()

SmoothMaximumFunction

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public SmoothMaximumFunction(IReader reader)
reader (IReader)

SmoothMaximumFunction

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public SmoothMaximumFunction(SmoothLimit kind, Function f, Function g, Function h)
kind (Maths.SmoothLimit)
f (Function)
g (Function)
h (Function)

Properties

Derivative

public sealed override Function Derivative { get; }
Gets a function which is the derivative of this function. The returned function may be either analytic or approximate.
inherited fromFunctionWithCaching

F

public T1 F { get; }
First operand.
inherited fromFunctionF<T1>

G

public T2 G { get; }
Second operand.
inherited fromFunctionFG<T1, T2>

H

public T3 H { get; }
Third operand.
inherited fromFunctionFGH<T1, T2, T3>

Integral

public sealed override Function Integral { get; }
Gets a function which is the indefinite integral of this function. The returned function may be analytic or approximate. Note that numeric approximation of indefinite integrals is a slow and not particularly high quality process.
inherited fromFunctionWithCaching

Kind

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public Maths.SmoothLimit Kind { get; }
Smoothing kind.

Nomen

public sealed override Nomen Nomen { get; }
Gets a description of this function.
inherited fromFunctionWithCaching
Function.Nomen

Notation

public override string Notation { get; }
Gets the notation for this function. Notation is aimed at humans and does not need to return a parseable string.
inherited fromFunctionWithCaching

Ui

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public override FunctionUi Ui { get; }
Function.Ui

Methods

Asymptotes

public virtual Line[] Asymptotes()
Returns an array of *all* the non-vertical asymptotes for this function. This property may return both null and empty arrays, implying no asymptotes. Due to the nature of non-vertical asymptotes, there can only be a finite amount of them.
inherited fromFunction

AutoCoDomain

protected void AutoCoDomain(double x0, double x1, out double y0, out double y1, int samples = 100)
Compute the automatic codomain for a given domain.
inherited fromFunction
x0 (double)Domain start.
x1 (double)Domain end.
y0 (out double)Lowest value in codomain.
y1 (out double)Highest value in codomain.
samples (int = 100)Samples.

DomainEstimate

public override void DomainEstimate(out double x0, out double x1, out double y0, out double y1)
inherited fromFunctionFGH<T1, T2, T3>
x0 (out double)
x1 (out double)
y0 (out double)
y1 (out double)

EmitDerivative

protected virtual Function EmitDerivative()
Override this method to provide an analytic derivative.
inherited fromFunctionWithCaching

EmitIntegral

protected virtual Function EmitIntegral()
Override this method to provide an analytic indefinite integral.
inherited fromFunctionWithCaching

Holes

public override Interval[] Holes(double x0, double x1)
A ternary operation is undefined wherever any operand is, and blows up wherever any operand does.
inherited fromFunctionFGH<T1, T2, T3>
x0 (double)
x1 (double)

Integrate

public virtual double Integrate(double x0, double x1)
Evaluate the definite integral between two parameters. Unless a function specifically implements an analytic integral, this value will be approximate. Note to implementer: if you provide an analytic integral via the Function.Integral property, that function will be used to compute an analytic result. There is typically no reason to override this method.
inherited fromFunction
x0 (double)Integral start.
x1 (double)Integral end.
Definite integral from x0 to x1.

Poles

public override Pole[] Poles(double x0, double x1)
A ternary operation is undefined wherever any operand is, and blows up wherever any operand does.
inherited fromFunctionFGH<T1, T2, T3>
x0 (double)
x1 (double)

Store

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public override void Store(IWriter writer)
writer (IWriter)

Y

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public override double Y(double x)
x (double)
Function.Y

YYYY

public double[] YYYY(double[] x)
Evaluate a large amount of values. Functions may choose to use multiple threads to perform this calculation. This method should not throw, instead every failed evaluation will be represented by a NaN value.
inherited fromFunction
x (double[])Value to evaluate.
Evaluation results. Array will contain double.NaN entries for failed evaluations.