erfi

auto kyosu::erfi = eve::functor<erfi_t>

inlineconstexpr

Callable object computing The imaginary error function \( \displaystyle \mathrm{erfi}(z) = -i\mathrm{erf}(iz)\).

Header file

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<kyosu::concepts::cayley_dickson_like T> constexpr complexify_t<T> erfi(T z) noexcept;
}

Parameters

• z : complex or real value to process.

Return value

Returns the imaginary error function \( \displaystyle \mathrm{erfi}(z) = -i\mathrm{erf}(iz)\)

External references

• Wolfram MathWorld: Erfi
• DLMF
• Wikipedia: Error Function

Example

#include <eve/wide.hpp>
#include <iostream>
#include <kyosu/kyosu.hpp>
 
int main()
{
 
  using wide_ft = eve::wide<float, eve::fixed<4>>;
  wide_ft ref1 = {3.0f, 2.0f, 1.0f, 0.5f};
  wide_ft imf1 = {2.0f, -1.0, -5.0, 0.0};
  wide_ft ref2 = {0.0, 1.0, 2.0, 3.0};
  auto zc = kyosu::complex_t<wide_ft>(ref1, imf1);
 
  std::cout << "---- simd" << std::endl
            << "<- zc             = " << zc << std::endl
            << "-> erfi(zc)      = " << kyosu::erfi(zc) << std::endl
            << "-> erfi(ref2)    = " << kyosu::erfi(ref2) << std::endl;
 
  return 0;
}