abel

auto eve::abel = functor<abel_t>

inlineconstexpr

Header file

#include <eve/module/polynomial.hpp>

Callable Signatures

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

Parameters

• n : integral positive arguments of flint
• x : real floating argument.
• a : real floating argument.

Return value

1.The value of the polynomial at x is returned.

1. The operation is performed conditionnaly.

External references

• Wikipedia: Abel Polynomials
• Wolfram MathWorld: Abel Polynomial

Example

// revision 1
#include <eve/module/polynomial.hpp>
#include <iostream>
 
int main()
{
  eve::wide wx = {-1.0f, 0.0f, 1.0f, 2.0f};
  eve::wide wa = {0.0f, 1.0f, 2.0f, 3.0f};
  eve::wide wn = {0, 1, 2, 3};
 
  std::cout << "<- wx                               = " << wx << "\n";
  std::cout << "<- wa                               = " << wa<< "\n";
  std::cout << "<- wn                               = " << wn << "\n";
 
  std::cout << "-> abel(wn, wx, wa)                 = " << eve::abel(wn, wx, wa) << "\n";
  std::cout << "-> abel(wa, wx, wa)                 = " << eve::abel(wa, wx, wa) << "\n";
  std::cout << "-> abel[ignore_last(2)](wa, wx, wa) = " << eve::abel[eve::ignore_last(2)](wa, wx, wa) << "\n";
  std::cout << "-> abel[wx != 2.0f](wa, wx, wa)     = " << eve::abel[wx != 2.0f](wa, wx, wa) << "\n";
}