nthroot

eve::nthroot = functor<nthroot_t>

inlineconstexpr

Header file

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto nthroot(floating_value auto x, value auto n) noexcept;             noexcept; // 1
 
   // Lanes masking
   constexpr auto nthroot[conditional_expr auto c](/* any of the above overloads */) noexcept; // 2
   constexpr auto nthroot[logical_value auto m](/* any of the above overloads */)    noexcept; // 2
 
   // Semantic options
   constexpr auto nthroot[raw](/* any of the above overloads */)                     noexcept; // 3
}

Parameters

* `x`: [floating value](@ref eve::floating_value).
* `n`: [integral_value](@ref eve::integral_value). Actually `n` can be a [flint](@ref is_flint).
* `c`: [Conditional expression](@ref conditional_expr) masking the operation.
* `m`: [Logical value](@ref logical) masking the operation.

Return value

1. Returns the value of \(x^{1/n}\). For negative x the value returned is a Nan as soon as n is not an odd integer.
2. The operation is performed conditionnaly
3. Speedier but less accurate computation.

Example

// revision 1
#include <eve/module/math.hpp>
#include <iostream>
 
int main()
{
  eve::wide wf = {2.0f, 64.0f, 4.0f, 2.0f, 2.0f,
                  eve::minf(eve::as<float>()), eve::eps(eve::as<float>()), eve::nan(eve::as<float>())};
  eve::wide wn = {4, 3, 2, 1, 0,  4, 3, 2};
 
  std::cout << "<- wf                              = " << wf << "\n";
  std::cout << "<- wn                              = " << wn << "\n";
 
   std::cout << "-> nthroot(wf, wn)                = " << eve::nthroot(wf, wn) << "\n";
   std::cout << "-> nthroot[ignore_last(2)](wf, wn)= " << eve::nthroot[eve::ignore_last(2)](wf, wn) << "\n";
   std::cout << "-> nthroot[wf != 2.0f](wf, wn)    = " << eve::nthroot[wf != 2.0f](wf, wn) << "\n";
   std::cout << "-> nthroot[raw](wf, wn)           = " << eve::nthroot[eve::raw](wf, wn) << "\n";
}