/** * Copyright (C) 2018-present MongoDB, Inc. * * This program is free software: you can redistribute it and/or modify * it under the terms of the Server Side Public License, version 1, * as published by MongoDB, Inc. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * Server Side Public License for more details. * * You should have received a copy of the Server Side Public License * along with this program. If not, see * . * * As a special exception, the copyright holders give permission to link the * code of portions of this program with the OpenSSL library under certain * conditions as described in each individual source file and distribute * linked combinations including the program with the OpenSSL library. You * must comply with the Server Side Public License in all respects for * all of the code used other than as permitted herein. If you modify file(s) * with this exception, you may extend this exception to your version of the * file(s), but you are not obligated to do so. If you do not wish to do so, * delete this exception statement from your version. If you delete this * exception statement from all source files in the program, then also delete * it in the license file. */ #pragma once #include #include #include #include #include #include "mongo/base/static_assert.h" #include "mongo/stdx/type_traits.h" namespace mongo { namespace detail { /** * The following three methods are conversion helpers that allow us to promote * all numerical input to three top-level types: int64_t, uint64_t, and double. */ // Floating point numbers -> double template typename stdx::enable_if_t::value, double> upconvert(T t) { MONGO_STATIC_ASSERT(sizeof(double) >= sizeof(T)); return static_cast(t); } // Signed integral types -> int64_t template typename stdx::enable_if_t::value && std::is_signed::value, int64_t> upconvert(T t) { MONGO_STATIC_ASSERT(sizeof(int64_t) >= sizeof(T)); return static_cast(t); } // Unsigned integral types -> uint64_t template typename stdx::enable_if_t::value && !std::is_signed::value, uint64_t> upconvert(T t) { MONGO_STATIC_ASSERT(sizeof(uint64_t) >= sizeof(T)); return static_cast(t); } /** * Compare two values of the same type. Return -1 if a < b, 0 if they are equal, and * 1 if a > b. */ template int identityCompare(T a, T b) { if (a == b) { return 0; } return (a < b) ? -1 : 1; } inline int signedCompare(int64_t a, int64_t b) { return identityCompare(a, b); } inline int signedCompare(double a, double b) { return identityCompare(a, b); } inline int signedCompare(uint64_t a, uint64_t b) { return identityCompare(a, b); } /** * Compare unsigned and signed integers. */ inline int signedCompare(int64_t a, uint64_t b) { if (a < 0) { return -1; } auto aUnsigned = static_cast(a); return signedCompare(aUnsigned, b); } inline int signedCompare(uint64_t a, int64_t b) { return -signedCompare(b, a); } /** * Compare doubles and signed integers. */ inline int signedCompare(double a, int64_t b) { // Casting int64_ts to doubles will round them // and give the wrong result, so convert doubles to // int64_ts if we can, then do the comparison. if (a < -std::ldexp(1, 63)) { return -1; } else if (a >= std::ldexp(1, 63)) { return 1; } auto aAsInt64 = static_cast(a); return signedCompare(aAsInt64, b); } inline int signedCompare(int64_t a, double b) { return -signedCompare(b, a); } /** * Compare doubles and unsigned integers. */ inline int signedCompare(double a, uint64_t b) { if (a < 0) { return -1; } // Casting uint64_ts to doubles will round them // and give the wrong result, so convert doubles to // uint64_ts if we can, then do the comparison. if (a >= std::ldexp(1, 64)) { return 1; } auto aAsUInt64 = static_cast(a); return signedCompare(aAsUInt64, b); } inline int signedCompare(uint64_t a, double b) { return -signedCompare(b, a); } /** * For any t and u of types T and U, promote t and u to one of the * top-level numerical types (int64_t, uint64_t, and double) and * compare them. * * Return -1 if t < u, 0 if they are equal, 1 if t > u. */ template int compare(T t, U u) { return signedCompare(upconvert(t), upconvert(u)); } /** * Return true if number can be converted to Output type without underflow or overflow. */ template bool inRange(Input i) { const auto floor = std::numeric_limits::lowest(); const auto ceiling = std::numeric_limits::max(); return detail::compare(i, floor) >= 0 && detail::compare(i, ceiling) <= 0; } } // namespace detail /** * Given a number of some type Input and a desired numerical type Output, * this method represents the input number in the output type if possible. * If the given number cannot be exactly represented in the output type, * this method returns a disengaged optional. * * ex: * auto v1 = representAs(2147483647); // v1 holds 2147483647 * auto v2 = representAs(2147483648); // v2 is disengaged * auto v3 = representAs(10.3); // v3 is disengaged */ template boost::optional representAs(Input number) try { if constexpr (std::is_same_v) { return number; } else if constexpr (std::is_same_v) { // Use Decimal128's ctor taking (u)int64_t or double, if it's safe to cast to one of those. if constexpr (std::is_integral_v) { if constexpr (std::is_signed_v) { return Decimal128{boost::numeric_cast(number)}; } else { return Decimal128{boost::numeric_cast(number)}; } } else if constexpr (std::is_floating_point_v) { return Decimal128{boost::numeric_cast(number)}; } else { return {}; } } else if constexpr ((std::is_same_v && std::is_same_v) || (std::is_same_v && std::is_same_v)) { return static_cast(static_cast(number)); } else { // If number is NaN and Output can also represent NaN, return NaN // Note: We need to specifically handle NaN here because of the way // detail::compare is implemented. if (std::is_floating_point_v && std::isnan(number)) { if (std::is_floating_point_v) { return {static_cast(number)}; } } // If Output is integral and number is a non-integral floating point value, // return a disengaged optional. if constexpr (std::is_floating_point_v && std::is_integral_v) { if (!(std::trunc(number) == number)) { return {}; } } if (!detail::inRange(number)) { return {}; } Output numberOut(number); // Some integers cannot be exactly represented as floating point numbers. // To check, we cast back to the input type if we can, and compare. if constexpr (std::is_integral_v && std::is_floating_point_v) { if (!detail::inRange(numberOut) || static_cast(numberOut) != number) { return {}; } } return numberOut; } } catch (const boost::bad_numeric_cast&) { return {}; } // Overload for converting from Decimal128. template boost::optional representAs(const Decimal128& number) try { std::uint32_t flags = 0; Output numberOut; if constexpr (std::is_same_v) { return number; } else if constexpr (std::is_floating_point_v) { numberOut = boost::numeric_cast(number.toDouble(&flags)); } else if constexpr (std::is_integral_v) { if constexpr (std::is_signed_v) { numberOut = boost::numeric_cast(number.toLongExact(&flags)); } else { numberOut = boost::numeric_cast(number.toULongExact(&flags)); } } else { // Unsupported type. return {}; } // Decimal128::toDouble/toLongExact failed. if (flags & (Decimal128::kUnderflow | Decimal128::kOverflow | Decimal128::kInvalid)) { return {}; } if (std::is_integral() && flags & Decimal128::kInexact) { return {}; } return numberOut; } catch (const boost::bad_numeric_cast&) { return {}; } } // namespace mongo