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example004_rootk_pow.cpp
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example004_rootk_pow.cpp
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///////////////////////////////////////////////////////////////////
// Copyright Christopher Kormanyos 2018 - 2024. //
// Distributed under the Boost Software License, //
// Version 1.0. (See accompanying file LICENSE_1_0.txt //
// or copy at http://www.boost.org/LICENSE_1_0.txt) //
///////////////////////////////////////////////////////////////////
#include <examples/example_uintwide_t.h>
#include <math/wide_integer/uintwide_t.h>
#if defined(WIDE_INTEGER_NAMESPACE)
auto WIDE_INTEGER_NAMESPACE::math::wide_integer::example004_rootk_pow() -> bool
#else
auto ::math::wide_integer::example004_rootk_pow() -> bool
#endif
{
bool result_is_ok = true;
{
#if defined(WIDE_INTEGER_NAMESPACE)
using WIDE_INTEGER_NAMESPACE::math::wide_integer::uint256_t;
#else
using ::math::wide_integer::uint256_t;
#endif
constexpr uint256_t x("0x95E0E51079E1D11737D3FD01429AA745582FEB4381D61FA56948C1A949E43C32");
constexpr uint256_t r = rootk(x, 7U); // NOLINT(cppcoreguidelines-avoid-magic-numbers,readability-magic-numbers)
constexpr bool result_is_ok_root = (r == UINT64_C(0x16067D1894));
result_is_ok = (result_is_ok_root && result_is_ok);
static_assert(result_is_ok_root, "Error: example004_rootk_pow not OK!");
}
{
#if defined(WIDE_INTEGER_NAMESPACE)
using WIDE_INTEGER_NAMESPACE::math::wide_integer::uint256_t;
#else
using ::math::wide_integer::uint256_t;
#endif
constexpr uint256_t r { static_cast<std::uint64_t>(UINT64_C(0x16067D1894)) };
constexpr uint256_t p = pow(r, static_cast<unsigned>(UINT8_C(7)));
constexpr bool result_is_ok_pow = (p == "0x95E0E5104B2F636571834936C982E40EFA25682E7370CD1C248051E1CDC34000");
result_is_ok = (result_is_ok_pow && result_is_ok);
static_assert(result_is_ok_pow, "Error: example004_rootk_pow not OK!");
}
{
#if defined(WIDE_INTEGER_NAMESPACE)
using WIDE_INTEGER_NAMESPACE::math::wide_integer::int256_t;
#else
using ::math::wide_integer::int256_t;
#endif
constexpr int256_t x("-17791969125525294590007745776736486317864490689865550963808715359713140948018");
constexpr int256_t r = cbrt(x);
constexpr bool result_is_ok_root = (r == int256_t("-26106060416733621800766427"));
result_is_ok = (result_is_ok_root && result_is_ok);
static_assert(result_is_ok_root, "Error: example004_rootk_pow not OK!");
}
{
#if defined(WIDE_INTEGER_NAMESPACE)
using WIDE_INTEGER_NAMESPACE::math::wide_integer::int256_t;
#else
using ::math::wide_integer::int256_t;
#endif
constexpr int256_t x("-17791969125525294590007745776736486317864490689865550963808715359713140948018");
constexpr int256_t r = rootk(x, 3);
constexpr bool result_is_ok_root = (r == int256_t("-26106060416733621800766427"));
result_is_ok = (result_is_ok_root && result_is_ok);
static_assert(result_is_ok_root, "Error: example004_rootk_pow not OK!");
}
return result_is_ok;
}
// Enable this if you would like to activate this main() as a standalone example.
#if defined(WIDE_INTEGER_STANDALONE_EXAMPLE004_ROOTK_POW)
#include <iomanip>
#include <iostream>
auto main() -> int
{
#if defined(WIDE_INTEGER_NAMESPACE)
const auto result_is_ok = WIDE_INTEGER_NAMESPACE::math::wide_integer::example004_rootk_pow();
#else
const auto result_is_ok = ::math::wide_integer::example004_rootk_pow();
#endif
std::cout << "result_is_ok: " << std::boolalpha << result_is_ok << std::endl;
return (result_is_ok ? 0 : -1);
}
#endif