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MtxIntDiff.QuadGauss Method (TRealFunction, double, double, out TIntStopReason, [In] TMtxFloatPrecision, TQuadMethod, double, int)
MtxIntDiff Class  MtxIntDiff Members  Dew.Math.Units Namespace  QuadGauss Method  Example
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Integration by using Gauss quadrature algorithm with no additional parameters for Fun.

Syntax
C#
Visual Basic
public static double QuadGauss(TRealFunction Fun, double lb, double ub, out TIntStopReason StopReason, [In] TMtxFloatPrecision FloatPrecision, TQuadMethod QMethod, double Tolerance, int MaxIter);
Returns

the numerical approximate on integral of function Fun between limits lb and ub.

Remarks

This version calculates base points and weights on the fly. 

Note Use this overload if integrating function is defined only by double parameter(s).

Example

Evaluate fuction Sin(x)*Exp(-x^2) on interval [-PI/2, PI]. Use default Gauss base points and weights. 

 

private double IntFun(TVec x, TVec c, params object[] o) { double x = x[0]; return System.Math.Sin(x)*System.Math.Exp(-x*x); } private void Example() { TIntStopReason sr; double area = MtxIntDif.QuadGauss(IntFun,-0.5*System.Math.PI, System.Math.PI, out sr, 1.0e-4, 8); }
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