CNL  2.0.2 (development)
Compositional Numeric Library
sqrt.h
1 
2 // Copyright John McFarlane 2021.
3 // Distributed under the Boost Software License, Version 1.0.
4 // (See accompanying file ../LICENSE_1_0.txt or copy at
5 // http://www.boost.org/LICENSE_1_0.txt)
6 
7 #if !defined(CNL_IMPL_SCALED_INTEGER_SQRT_H)
8 #define CNL_IMPL_SCALED_INTEGER_SQRT_H
9 
10 #include "../cmath/sqrt.h"
11 #include "definition.h"
12 
14 namespace cnl {
22 
23  template<typename Rep, int Exponent, int Radix>
24  [[nodiscard]] constexpr auto sqrt(scaled_integer<Rep, power<Exponent, Radix>> const& x)
25  {
26  static_assert(!(Exponent & 1));
27  using result_type = scaled_integer<Rep, power<Exponent / 2, Radix>>;
28  return _impl::from_rep<result_type>(sqrt(_impl::to_rep(x)));
29  }
30 }
31 
32 #endif // CNL_IMPL_SCALED_INTEGER_SQRT_H
cnl::sqrt
constexpr auto sqrt(Integer const &x)
integer overload of cnl::sqrt
Definition: sqrt.h:25
cnl
compositional numeric library
Definition: abort.h:15
cnl::scaled_integer
_impl::wrapper< Rep, Scale > scaled_integer
literal real number approximation that uses fixed-point arithmetic
Definition: definition.h:52
cnl::power
tag representing the scaling of an integer by a fixed factor
Definition: declaration.h:13