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 // Copyright ©2016 The gonum Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. package mathext import "gonum.org/v1/gonum/mathext/internal/gonum" // Beta returns the value of the complete beta function B(a, b). It is defined as // Γ(a)Γ(b) / Γ(a+b) // Special cases are: // B(a,b) returns NaN if a or b is Inf // B(a,b) returns NaN if a and b are 0 // B(a,b) returns NaN if a or b is NaN // B(a,b) returns NaN if a or b is < 0 // B(a,b) returns +Inf if a xor b is 0. // // See http://mathworld.wolfram.com/BetaFunction.html for more detailed informations. func Beta(a, b float64) float64 { return gonum.Beta(a, b) } // Lbeta returns the natural logarithm of the complete beta function B(a,b). // Lbeta is defined as: // Ln(Γ(a)Γ(b)/Γ(a+b)) // Special cases are: // Lbeta(a,b) returns NaN if a or b is Inf // Lbeta(a,b) returns NaN if a and b are 0 // Lbeta(a,b) returns NaN if a or b is NaN // Lbeta(a,b) returns NaN if a or b is < 0 // Lbeta(a,b) returns +Inf if a xor b is 0. func Lbeta(a, b float64) float64 { return gonum.Lbeta(a, b) }