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/* Copyright 2015 MongoDB Inc.
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License, version 3,
* as published by the Free Software Foundation.
*
* 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
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*
* 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 GNU Affero General 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 <cmath>
#include "mongo/platform/decimal128.h"
#include "mongo/util/assert_util.h"
namespace mongo {
/**
* These functions compare numbers using the same rules as BSON. Care is taken to always give
* numerically correct results when comparing different types. Returns are always -1, 0, or 1 to
* ensure it is safe to negate the result to invert the direction of the comparison.
*
* lhs > rhs returns 1
* lhs < rhs returns -1
* lhs == rhs returns 0
*
*/
inline int compareInts(int lhs, int rhs) {
return lhs == rhs ? 0 : lhs < rhs ? -1 : 1;
}
inline int compareLongs(long long lhs, long long rhs) {
return lhs == rhs ? 0 : lhs < rhs ? -1 : 1;
}
inline int compareDoubles(double lhs, double rhs) {
if (lhs == rhs)
return 0;
if (lhs < rhs)
return -1;
if (lhs > rhs)
return 1;
// If none of the above cases returned, lhs or rhs must be NaN.
if (std::isnan(lhs))
return std::isnan(rhs) ? 0 : -1;
dassert(std::isnan(rhs));
return 1;
}
// This is the tricky one. Needs to support the following cases:
// * Doubles with a fractional component.
// * Longs that can't be precisely represented as a double.
// * Doubles outside of the range of Longs (including +/- Inf).
// * NaN (defined by us as less than all Longs)
// * Return value is always -1, 0, or 1 to ensure it is safe to negate.
inline int compareLongToDouble(long long lhs, double rhs) {
// All Longs are > NaN
if (std::isnan(rhs))
return 1;
// Ints with magnitude <= 2**53 can be precisely represented as doubles.
// Additionally, doubles outside of this range can't have a fractional component.
static const long long kEndOfPreciseDoubles = 1ll << 53;
if (lhs <= kEndOfPreciseDoubles && lhs >= -kEndOfPreciseDoubles) {
return compareDoubles(lhs, rhs);
}
// Large magnitude doubles (including +/- Inf) are strictly > or < all Longs.
static const double kBoundOfLongRange = -static_cast<double>(LLONG_MIN); // positive 2**63
if (rhs >= kBoundOfLongRange)
return -1; // Can't be represented in a Long.
if (rhs < -kBoundOfLongRange)
return 1; // Can be represented in a Long.
// Remaining Doubles can have their integer component precisely represented as long longs.
// If they have a fractional component, they must be strictly > or < lhs even after
// truncation of the fractional component since low-magnitude lhs were handled above.
return compareLongs(lhs, rhs);
}
inline int compareDoubleToLong(double lhs, long long rhs) {
// Only implement the real logic once.
return -compareLongToDouble(rhs, lhs);
}
/** Decimal type comparisons
* These following cases need support:
* 1. decimal and decimal: directly compare (enforce ordering: NaN < -Inf < N < +Inf)
* 2. decimal and int: convert int to decimal and compare
* 3. decimal and long: convert long to decimal and compare
* 4. decimal to double: convert decimal to double with round toward negative.
* Check for exact conversion and determine ordering based on result.
*/
// Case 1: Compare two decimal values, but enforce MongoDB's total ordering convention
inline int compareDecimals(Decimal128 lhs, Decimal128 rhs) {
// When we're comparing, lhs is always a decimal, which means more often than not
// the rhs will be less than the lhs (decimal type has the largest capacity)
if (lhs.isGreater(rhs))
return 1;
if (lhs.isLess(rhs))
return -1;
if (lhs.isNaN())
return (rhs.isNaN() ? 0 : -1);
if (rhs.isNaN())
return 1;
else // lhs is necessarily equal to rhs
return 0;
}
// Compare decimal and int
inline int compareDecimalToInt(Decimal128 lhs, int rhs) {
return compareDecimals(lhs, Decimal128(rhs));
}
inline int compareIntToDecimal(int lhs, Decimal128 rhs) {
return -compareDecimalToInt(rhs, lhs);
}
// Compare decimal and long
inline int compareDecimalToLong(Decimal128 lhs, long long rhs) {
return compareDecimals(lhs, Decimal128(static_cast<int64_t>(rhs)));
}
inline int compareLongToDecimal(long long lhs, Decimal128 rhs) {
return -compareDecimalToLong(rhs, lhs);
}
// Compare decimal and double
inline int compareDecimalToDouble(Decimal128 lhs, double rhs) {
uint32_t sigFlags = Decimal128::SignalingFlag::kNoFlag;
double decToDouble = lhs.toDouble(&sigFlags, Decimal128::RoundingMode::kRoundTowardNegative);
if (decToDouble == rhs) {
// If our conversion was not exact, lhs was necessarily greater than rhs
// otherwise, they are equal
if (Decimal128::hasFlag(sigFlags, Decimal128::SignalingFlag::kInexact)) {
return 1;
} else {
return 0;
}
} else if (decToDouble < rhs) {
return -1;
} else if (decToDouble > rhs) {
return 1;
}
if (lhs.isNaN())
return (std::isnan(rhs) ? 0 : -1);
invariant(std::isnan(rhs));
return 1;
}
inline int compareDoubleToDecimal(double lhs, Decimal128 rhs) {
return -compareDecimalToDouble(rhs, lhs);
}
} // namespace mongo
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