rempio2

eve::rempio2 = functor<rempio2_t>

inlineconstexpr

Header file

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
{
   // Regular overload
   constexpr auto rempio2(floating_value auto x)                          noexcept; // 1
 
   // Semantic options
   constexpr auto rempio2[quarter_circle](floating_value auto x)          noexcept; // 2.a
   constexpr auto rempio2[half_circle](floating_value auto x)             noexcept; // 2.b
   constexpr auto rempio2[full_circle](floating_value auto x)             noexcept; // 2.c
   constexpr auto rempio2[medium](floating_value auto x)                  noexcept; // 2.d
   constexpr auto rempio2[big](floating_value auto x)                     noexcept; // 2.e
}

Parameters

* `x`: [floating value](@ref floating_value).
* `c`: [Conditional expression](@ref conditional_expr) masking the operation.
* `m`: [Logical value](@ref logical) masking the operation.

Return value

1. A tuple-like consisting of an flint value designing the quadrant and two floating values of type T giving the remainder of x modulo \(\pi/2\) and a corrective to the rounding error on the first result.

2. These options enable faster computations by assuming that the input satisfies the following respective condition:

   1. \(|x| \le \pi/4\)
   2. \(|x| \le \pi/2\)
   3. \(|x| \le \pi\)
   4. \(|x| \le 10^4\)
   5. no conditions, will directly use the most expansive reduction algorithm

   For each option, if the respective above conditon is not met the result is undefined.

Example

// revision 1
#include <eve/module/math.hpp>
#include <iostream>
 
int main()
{
 
  eve::wide<float> wf([](auto i, auto c)->float{ return eve::pi(eve::as < float>())*2*(i-c/2);});
 
  std::cout << "<- wf = " << wf << "\n";
 
  std::cout << "-> rempio2(wf)                = " << eve::rempio2(wf) << "\n";
  std::cout << "-> rempio2[quarter_circle](wf)= " << eve::rempio2[eve::quarter_circle](wf) << "\n";
  std::cout << "-> rempio2[half_circle](wf)   = " << eve::rempio2[eve::half_circle](wf) << "\n";
  std::cout << "-> rempio2[full_circle](wf)   = " << eve::rempio2[eve::full_circle](wf) << "\n";
}