RhinoMathIntegrate Method (FuncObject, Int32, Double, Double, Object, Interval, Double, Double, CancellationToken, Double)

public static double Integrate(
	Func<Object, int, double, double> integrandFunction,
	Object context,
	Interval limits,
	double relativeTolerance,
	double absoluteTolerance,
	CancellationToken cancellationToken,
	out double errorBound
)

Public Shared Function Integrate ( 
	integrandFunction As Func(Of Object, Integer, Double, Double),
	context As Object,
	limits As Interval,
	relativeTolerance As Double,
	absoluteTolerance As Double,
	cancellationToken As CancellationToken,
	<OutAttribute> ByRef errorBound As Double
) As Double

Parameters

integrandFunction

Type: SystemFuncObject, Int32, Double, Double
The integrand function is double f(object context, int limit_direction, double t) and returns the value of the integrand at t. The limit_direction parameter will be -1, 0, or +1 and specifies which limit direction should be used in the evaluation. If limit_direction = 1, then the integrand may not be C-infinity at t and should be evaluated using the limit from above. If limit_direction = -1, then the integrand may not be C-infinity at t and should be evaluated using the limit from below. If limit_direction = 0, then the integrand is C-infinity at t and may and evaluation from above and below will return the same answer.

context

Type: SystemObject
Anything you want to be passed to and used by the integrandFunction

limits

Type: Rhino.GeometryInterval
Limits of integration. The integrand must be C-infinity on each interval (limits[0],limits[1]).

relativeTolerance

Type: SystemDouble
Desired relative tolerance. If I = mathematical value and N = numerical integration value, then the algorithm will terminate when |I - N| <= relative_tolerance*|I|. For example, if you want to know the answer with 5 digits of accuracy, then pass 1e-5.

absoluteTolerance

Type: SystemDouble
Desired absolute tolerance. If I = mathematical value and N = numerical integration value, then the algorithm will terminate when |I - N| <= absolute_tolerance.

cancellationToken

Type: System.ThreadingCancellationToken
Token used to cancel the calculation. Cancellation is cooperative: it is checked each time the integrand is evaluated, and a canceled calculation returns double.NaN.

errorBound

Type: SystemDouble
upper bound on the error in the calculation

Return Value

Reference