testquad

package

v0.0.4 Latest Latest Go to latest Published: Mar 5, 2022 License: BSD-3-Clause Imports: 2 Imported by: 0

Details

Package testquad provides integrals for testing quadrature algorithms.

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type Integral struct {
	Name  string
	A, B  float64               // Integration limits
	F     func(float64) float64 // Integrand
	Value float64
}

Integral is a definite integral

∫_a^b f(x)dx

with a known value.

func Constant(alpha float64) Integral

Constant returns the integral of a constant function

∫_{-1}^2 alpha dx

func ExpOverX2Plus1() Integral

ExpOverX2Plus1 returns the integral

∫_0^1 exp(x)/(x*x+1)dx

func Poly(degree int) Integral

Poly returns the integral of a polynomial

∫_{-1}^2 x^degree dx

func Sin() Integral

Sin returns the integral

∫_0^1 sin(x)dx

func Sqrt() Integral

Sqrt returns the integral

∫_0^1 sqrt(x)dx

func XExpMinusX() Integral

XExpMinusX returns the integral

∫_0^1 x*exp(-x)dx