betainc

auto eve::betainc = functor<betainc_t>

inlineconstexpr

Defined in header

#include <eve/module/special.hpp>

Callable Signatures

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

Parameters

• s : real floating argument. \( s \in [0, 1]\)
• x, y: strictly positive real floating arguments.

Return value

The value of the incomplete betainc function is returned.

External references

• DLMF: Incomplete Beta Function
• Wolfram MathWorld: Beta Incomplete Function
• Wikipedia: Beta Function

Example

// revision 1
#include <eve/module/special.hpp>
#include <iostream>
 
int main()
{
  eve::wide pf = { 0.0f, 0.1f, 0.5f, 2.0f};
  eve::wide qf = { 1.0f, 1.0f, 3.0f, 5.0f};
  eve::wide rf = { 4.0f, 2.0f, 1.0f, 0.2f};
 
  std::cout << "<- pf                                  = " << pf << '\n';
  std::cout << "<- qf                                  = " << qf << '\n';
  std::cout << "<- rf                                  = " << rf << '\n';
 
  std::cout << "-> betainc(pf, qf, rf)                 = " << eve::betainc(pf, qf, rf) << '\n';
  std::cout << "-> betainc[ignore_last(2)](pf, qf, rf) = " << eve::betainc[eve::ignore_last(2)](pf, qf, rf) << '\n';
  std::cout << "-> betainc[rf != 0.2f](pf, qf, rf)     = " << eve::betainc[rf != 0.2](pf, qf, rf) << '\n';
}