/* * Copyright (C) 2015-present ScyllaDB */ /* * SPDX-License-Identifier: AGPL-3.0-or-later */ #include "big_decimal.hh" #include #include "marshal_exception.hh" #include #include #ifdef __clang__ // Clang or boost have a problem navigating the enable_if maze // that is cpp_int's constructor. It ends up treating the // string_view as binary and "0" ends up 48. // Work around by casting to string. using string_view_workaround = std::string; #else using string_view_workaround = std::string_view; #endif uint64_t from_varint_to_integer(const utils::multiprecision_int& varint) { // The behavior CQL expects on overflow is for values to wrap // around. For cpp_int conversion functions, the behavior is to // return the largest or smallest number that the target type can // represent. To implement one with the other, we first mask the // low 64 bits, convert to a uint64_t, and then let c++ convert, // with possible overflow, to ToType. return static_cast(~static_cast(0) & boost::multiprecision::cpp_int(varint)); } big_decimal::big_decimal() : big_decimal(0, 0) {} big_decimal::big_decimal(int32_t scale, boost::multiprecision::cpp_int unscaled_value) : _scale(scale), _unscaled_value(std::move(unscaled_value)) {} big_decimal::big_decimal(sstring_view text) { size_t e_pos = text.find_first_of("eE"); std::string_view base = text.substr(0, e_pos); std::string_view exponent; if (e_pos != std::string_view::npos) { exponent = text.substr(e_pos + 1); if (exponent.empty()) { throw marshal_exception(format("big_decimal - incorrect empty exponent: {}", text)); } } size_t dot_pos = base.find_first_of("."); std::string integer_str(base.substr(0, dot_pos)); std::string_view fraction; if (dot_pos != std::string_view::npos) { fraction = base.substr(dot_pos + 1); integer_str.append(fraction); } std::string_view integer(integer_str); const bool negative = !integer.empty() && integer.front() == '-'; integer.remove_prefix(negative || (!integer.empty() && integer.front() == '+')); if (integer.empty()) { throw marshal_exception(format("big_decimal - both integer and fraction are empty")); } else if (!::isdigit(integer.front())) { throw marshal_exception(format("big_decimal - incorrect integer: {}", text)); } integer.remove_prefix(std::min(integer.find_first_not_of("0"), integer.size() - 1)); try { _unscaled_value = boost::multiprecision::cpp_int(string_view_workaround(integer)); } catch (...) { throw marshal_exception(format("big_decimal - failed to parse integer value: {}", integer)); } if (negative) { _unscaled_value *= -1; } try { _scale = exponent.empty() ? 0 : -boost::lexical_cast(exponent); } catch (...) { throw marshal_exception(format("big_decimal - failed to parse exponent: {}", exponent)); } _scale += fraction.size(); } boost::multiprecision::cpp_rational big_decimal::as_rational() const { boost::multiprecision::cpp_int ten(10); auto unscaled_value = static_cast(_unscaled_value); boost::multiprecision::cpp_rational r = unscaled_value; int32_t abs_scale = std::abs(_scale); auto pow = boost::multiprecision::pow(ten, abs_scale); if (_scale < 0) { r *= pow; } else { r /= pow; } return r; } sstring big_decimal::to_string() const { if (!_unscaled_value) { return "0"; } boost::multiprecision::cpp_int num = boost::multiprecision::abs(_unscaled_value); auto str = num.str(); if (_scale < 0) { for (int i = 0; i > _scale; i--) { str.push_back('0'); } } else if (_scale > 0) { if (str.size() > unsigned(_scale)) { str.insert(str.size() - _scale, 1, '.'); } else { std::string nstr = "0."; nstr.append(_scale - str.size(), '0'); nstr.append(str); str = std::move(nstr); } while (str.back() == '0') { str.pop_back(); } if (str.back() == '.') { str.pop_back(); } } if (_unscaled_value < 0) { str.insert(0, 1, '-'); } return str; } std::strong_ordering big_decimal::compare(const big_decimal& other) const { auto max_scale = std::max(_scale, other._scale); boost::multiprecision::cpp_int rescale(10); boost::multiprecision::cpp_int x = _unscaled_value * boost::multiprecision::pow(rescale, max_scale - _scale); boost::multiprecision::cpp_int y = other._unscaled_value * boost::multiprecision::pow(rescale, max_scale - other._scale); return x == y ? std::strong_ordering::equal : x < y ? std::strong_ordering::less : std::strong_ordering::greater; } big_decimal& big_decimal::operator+=(const big_decimal& other) { if (_scale == other._scale) { _unscaled_value += other._unscaled_value; } else { boost::multiprecision::cpp_int rescale(10); auto max_scale = std::max(_scale, other._scale); boost::multiprecision::cpp_int u = _unscaled_value * boost::multiprecision::pow(rescale, max_scale - _scale); boost::multiprecision::cpp_int v = other._unscaled_value * boost::multiprecision::pow(rescale, max_scale - other._scale); _unscaled_value = u + v; _scale = max_scale; } return *this; } big_decimal& big_decimal::operator-=(const big_decimal& other) { if (_scale == other._scale) { _unscaled_value -= other._unscaled_value; } else { boost::multiprecision::cpp_int rescale(10); auto max_scale = std::max(_scale, other._scale); boost::multiprecision::cpp_int u = _unscaled_value * boost::multiprecision::pow(rescale, max_scale - _scale); boost::multiprecision::cpp_int v = other._unscaled_value * boost::multiprecision::pow(rescale, max_scale - other._scale); _unscaled_value = u - v; _scale = max_scale; } return *this; } big_decimal big_decimal::operator+(const big_decimal& other) const { big_decimal ret(*this); ret += other; return ret; } big_decimal big_decimal::operator-(const big_decimal& other) const { big_decimal ret(*this); ret -= other; return ret; } big_decimal big_decimal::div(const ::uint64_t y, const rounding_mode mode) const { if (mode != rounding_mode::HALF_EVEN) { assert(0); } // Implementation of Division with Half to Even (aka Bankers) Rounding const boost::multiprecision::cpp_int sign = _unscaled_value >= 0 ? +1 : -1; const boost::multiprecision::cpp_int a = sign * _unscaled_value; // cpp_int uses lazy evaluation and for older versions of boost and some // versions of gcc, expression templates have problem to implicitly // convert to cpp_int, so we force the conversion explicitly before cpp_int // is converted to uint64_t. const uint64_t r = boost::multiprecision::cpp_int{a % y}.convert_to(); boost::multiprecision::cpp_int q = a / y; /* * Value r/y is fractional part of (*this)/y that is used to determine * the direction of rounding. * For rounding one has to consider r/y cmp 1/2 or equivalently: * 2*r cmp y. */ if (2*r < y) { /* Number has its final value */ } else if (2*r > y) { q += 1; } else if (q % 2 == 1) { /* Change to closest even number */ q += 1; } return big_decimal(_scale, sign * q); }