SignFunction

FunctionF<1>FunctionWithCachingFunction
[IoId("00000000-e804-481e-a54b-f0f0ce270709")] public sealed class SignFunction : FunctionF<Function>
The sign of a function.

Constructors

SignFunction

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public SignFunction(Function f)
Parameters:
f (Function)

SignFunction

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public SignFunction(IReader reader)
Parameters:
reader (IReader)

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
Overrides: Function.Derivative

F

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

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
Overrides: Function.Integral

Nomen

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

Notation

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public override string Notation { get; }
Overrides: FunctionWithCaching.Notation

Ui

public virtual FunctionUi Ui { get; }
Gets a UI object for modifying this function. This property may return null, not all functions must be editable.
inherited fromFunction

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
Parameters:
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 fromFunctionF<T1>
Parameters:
x0 (out double)
x1 (out double)
y0 (out double)
y1 (out double)
Overrides: Function.DomainEstimate

EmitDerivative

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protected override Function EmitDerivative()
Overrides: FunctionWithCaching.EmitDerivative

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)
inherited fromFunctionF<T1>
Parameters:
x0 (double)
x1 (double)
Overrides: Function.Holes

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
Parameters:
x0 (double)Integral start.
x1 (double)Integral end.
Returns: Definite integral from x0 to x1.

Poles

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public override Pole[] Poles(double x0, double x1)
The sign of an infinity is still just +1 or -1, so an operand pole shows up here as an ordinary step rather than a pole of its own. Holes are left to the base relay: the sign of an undefined value is still undefined.
Parameters:
x0 (double)
x1 (double)
Overrides: FunctionF<T1>.Poles

Store

public override void Store(IWriter writer)
inherited fromFunctionF<T1>
Parameters:
writer (IWriter)
Overrides: FunctionWithCaching.Store

Y

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public override double Y(double x)
Parameters:
x (double)
Overrides: 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
Parameters:
x (double[])Value to evaluate.
Returns: Evaluation results. Array will contain double.NaN entries for failed evaluations.