bernouilli

auto eve::bernouilli = functor<bernouilli_t>

inlineconstexpr

Header file

#include <eve/module/combinatorial.hpp>

Callable Signatures

namespace eve
{
   // Regular overload
   template<unsigned_value  N, floating_value T>
   constexpr as_wide_as_t<T,N> bernouilli(unsigned_value auto n)             noexcept; // 1
 
   // Lanes masking
   constexpr auto bernouilli[conditional_expr auto c](unsigned_value auto n) noexcept; // 2
   constexpr auto bernouilli[logical_value auto m](unsigned_value auto n)    noexcept; // 2
}

Parameters

• n: unsigned argument.
• c: Conditional expression masking the operation.
• m: Logical value masking the operation.

Return value The result's element type is double to avoid overflow as possible and its cardinal is the same as n.

1. The value of the nth Bernouilli number is returned.
2. The operation is performed conditionnaly.

External references

• Wolfram MathWorld: Bernoulli Number
• Wikipedia: Bernoulli Number

Example

// revision 1
#include <eve/module/combinatorial.hpp>
#include <iostream>
 
eve::wide<std::uint32_t> wu([](auto i, auto )->std::uint32_t{ return i;});
eve::wide n{90u, 25u, 32u, 180u, 8u, 10u, 12u, 14u};
int main(){
   std::cout << "<- wu = " << wu << "\n";
   std::cout << "<- n  = " << n << "\n";
 
   std::cout << "-> bernouilli(wu)                = " << eve::bernouilli(wu) << "\n";
   std::cout << "-> bernouilli[ignore_last(2)](wu)= " << eve::bernouilli[eve::ignore_last(2)](wu) << "\n";
   std::cout << "-> bernouilli[wu != 2u](wu)      = " << eve::bernouilli[wu != 2u](wu) << "\n";
   std::cout << "-> bernouilli(n)                 = " << eve::bernouilli(n) << "\n";
}