beta

eve::beta = functor<beta_t>

inlineconstexpr

Header file

#include <eve/module/special.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto beta(floating_value auto x, floating_value auto y)                          noexcept; // 1
 
   // Lanes masking
   constexpr auto beta[conditional_expr auto c](floating_value auto x, floating_value auto y) noexcept; // 2
   constexpr auto beta[logical_value auto m](floating_value auto x, floating_value auto y)    noexcept; // 2
}

Parameters

• x, y: strictly positive real floating argument.
• c: Conditional expression masking the operation.
• m: Logical value masking the operation.

Return value

1. $\displaystyle \mathbf{B}(x,y) = \int_0^1 t^{x-1}(1-t)^{y-1}\mbox{d}t$
2. The operation is performed conditionnaly.

External references

• DLMF: Beta Function
• C++ standard reference: beta
• Wolfram MathWorld: Beta Functionhttps://mathworld.wolfram.com/BetaFunction.html)

Example

// revision 1
#include <eve/module/special.hpp>
#include <iostream>
 
int main()
{
  eve::wide pf = { 0.0f, 1.0f, 4.0f, 2.0f };
  eve::wide qf = { 1.0f, 1.0f, 3.0f, 5.0f};
 
  std::cout << "<- pf                          = " << qf << "\n";
  std::cout << "<- qf                          = " << qf << "\n";
 
  std::cout << "-> beta(pf, qf)                = " << eve::beta(pf, qf) << "\n";
  std::cout << "-> beta[ignore_last(2)](pf, qf)= " << eve::beta[eve::ignore_last(2)](pf, qf) << "\n";
  std::cout << "-> beta[qf != 3.0f](pf, qf)    = " << eve::beta[qf != 3.0f](pf, qf) << "\n";
}