#pragma once

template <typename T>
constexpr T sqrt(const T n) noexcept;

template <>
constexpr float sqrt(const float n) noexcept
{
  return __builtin_sqrtf(n);
}

template <typename T>
constexpr T cos(const T n) noexcept;

template <>
constexpr float cos(const float n) noexcept
{
  return __builtin_cosf(n);
}

template <typename T>
constexpr T sin(const T n) noexcept;

template <>
constexpr float sin(const float n) noexcept
{
  return __builtin_sinf(n);
}

template <typename T>
constexpr T abs(const T n) noexcept;

template <>
constexpr float abs(const float n) noexcept
{
  return __builtin_fabsf(n);
}

constexpr float pi = 3.141592653589793;

template <typename T>
inline constexpr T max(const T a, const T b) noexcept
{
  return (a > b) ? a : b;
}

template <typename T>
inline constexpr T min(const T a, const T b) noexcept
{
  return (a < b) ? a : b;
}