Approximates a 3-dimensional definite integral using an Nth order Gauss-Legendre rule over the cuboid or rectangular prism [a1,a2] x [b1,b2] x [c1,c2].
Namespace: Altaxo.CalcAssembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax public static double OnCuboid(
Func<double, double, double, double> f,
double invervalBeginA,
double invervalEndA,
double invervalBeginB,
double invervalEndB,
double invervalBeginC,
double invervalEndC,
int order = 32
)
Parameters
- f FuncDouble, Double, Double, Double
- The 3-dimensional analytic smooth function to integrate.
- invervalBeginA Double
- Where the interval starts for the first integral, exclusive and finite.
- invervalEndA Double
- Where the interval ends for the first integral, exclusive and finite.
- invervalBeginB Double
- Where the interval starts for the second integral, exclusive and finite.
- invervalEndB Double
- Where the interval ends for the second integral, exclusive and finite.
- invervalBeginC Double
- Where the interval starts for the third integral, exclusive and finite.
- invervalEndC Double
- Where the interval ends for the third integral, exclusive and finite.
- order Int32 (Optional)
- Defines an Nth order Gauss-Legendre rule. The order also defines the number of abscissas and weights for the rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly.
Return Value
DoubleApproximation of the finite integral in the given interval.
See Also