csc

auto eve::csc = functor<csc_t>

inlineconstexpr

Header file

#include <eve/module/math.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   constexpr auto csc(floating_value auto x)                          noexcept; // 1
 
   // Lanes masking
   constexpr auto csc[conditional_expr auto c](floating_value auto x) noexcept; // 2
   constexpr auto csc[logical_value auto m](floating_value auto x)    noexcept; // 2
 
   // Semantic options
   constexpr auto csc[quarter_circle](floating_value auto x)          noexcept; // 3.a
   constexpr auto csc[half_circle](floating_value auto x)             noexcept; // 3.b
   constexpr auto csc[full_circle](floating_value auto x)             noexcept; // 3.c
}

Parameters

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

Return value

1. Returns the elementwise cosecant of the input. (the inverse of the sine). In particular:
   • If the element is \(\pm0\), \(\pm\infty\) is returned.
   • If the element is \(\pm\infty\), Nan is returned.
   • If the element is a NaN, NaN is returned.
2. The operation is performed conditionnaly.
3. These are optimized calls providing a balance between speed and range limitation.
   1. assumes that the inputs elements belong to \([-\pi/4,\pi/4]\) and return NaN outside.
   2. assumes that the inputs elements belong to \([-\pi/2,\pi/2]\) and return NaN outside.
   3. assumes that the inputs elements belong to \([-\pi,\pi]\) and return NaN outside.

External references

• Wolfram MathWorld

Example

// revision 1
#include <eve/module/math.hpp>
#include <iostream>
 
int main()
{
  eve::wide wf = {0.0, 0.25, 0.5, 2.0, -0.0, -0.25, -0.5, -2.0};
  wf *= eve::pi[eve::upper](eve::as(wf));
 
  std::cout << "<- wf                     = " << wf << "\n";
 
  std::cout << "-> csc(wf)                = " << eve::csc(wf) << "\n";
  std::cout << "-> csc[ignore_last(2)](wf)= " << eve::csc[eve::ignore_last(2)](wf) << "\n";
  std::cout << "-> csc[wf != -2.0f](wf)   = " << eve::csc[wf != -2.0f](wf) << "\n";
  std::cout << "-> csc[quarter_circle](wf)= " << eve::csc[eve::quarter_circle](wf) << "\n";
  std::cout << "-> csc[half_circle](wf)   = " << eve::csc[eve::half_circle](wf) << "\n";
  std::cout << "-> csc[full_circle](wf)   = " << eve::csc[eve::full_circle](wf) << "\n";
}