gd

auto eve::gd = functor<gd_t>

inlineconstexpr

1. The operation is performed conditionally.

External references

• Wolfram MathWorld: Gudermannian
• Wikipedia: Gudermannian function
• DLMF: gudermannian functions: gudermannian functions

Example

// revision 1
#include <eve/module/math.hpp>
#include <iostream>
 
int main()
{
  eve::wide<float> wf = [](auto i, auto c) { return 2.f*(i-c/2);};
 
  std::cout << "<- wf                    = " << wf << "\n";
 
  std::cout << "-> gd(wf)                = " << eve::gd(wf) << "\n";
  std::cout << "-> gd[ignore_last(2)](wf)= " << eve::gd[eve::ignore_last(2)](wf) << "\n";
  std::cout << "-> gd[wf != -2.0](wf)    = " << eve::gd[wf != -2.0](wf) << "\n";
}

Defined in Header

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto gd(floating_value auto x)                          noexcept; // 1
 
   // Semantic option
   constexpr auto gd[raw](floating_value auto x)                     noexcept; // 2
   constexpr auto gd[fast] (floating_value auto x)                   noexcept; // 2
 
   // Lanes masking
   constexpr auto gd[conditional_expr auto c](floating_value auto x) noexcept; // 2
   constexpr auto gd[logical_value auto m](floating_value auto x)    noexcept; // 2
}

Parameters

• x: floating value.
• c: Conditional expression masking the operation.
• m: Logical value masking the operation.

Return value

1. Returns the elementwise gudermanian of the input. In particular:
   • If the element is \(\pm0\), \(0\) is returned.
   • If the element is \(\pm\infty\), \(\pm\pi/2\) is returned.
   • If the element is a NaN, NaN is returned.
2. The raw and fast options use internally less accuate but faster versions.