// © 2017 and later: Unicode, Inc. and others. // License & terms of use: http://www.unicode.org/copyright.html #include "unicode/utypes.h" #if !UCONFIG_NO_FORMATTING #ifndef __NUMBER_ROUNDINGUTILS_H__ #define __NUMBER_ROUNDINGUTILS_H__ #include "number_types.h" U_NAMESPACE_BEGIN namespace number { namespace impl { namespace roundingutils { enum Section { SECTION_LOWER_EDGE = -1, SECTION_UPPER_EDGE = -2, SECTION_LOWER = 1, SECTION_MIDPOINT = 2, SECTION_UPPER = 3 }; /** * Converts a rounding mode and metadata about the quantity being rounded to a boolean determining * whether the value should be rounded toward infinity or toward zero. * *

The parameters are of type int because benchmarks on an x86-64 processor against OpenJDK * showed that ints were demonstrably faster than enums in switch statements. * * @param isEven Whether the digit immediately before the rounding magnitude is even. * @param isNegative Whether the quantity is negative. * @param section Whether the part of the quantity to the right of the rounding magnitude is * exactly halfway between two digits, whether it is in the lower part (closer to zero), or * whether it is in the upper part (closer to infinity). See {@link #SECTION_LOWER}, {@link * #SECTION_MIDPOINT}, and {@link #SECTION_UPPER}. * @param roundingMode The integer version of the {@link RoundingMode}, which you can get via * {@link RoundingMode#ordinal}. * @param status Error code, set to U_FORMAT_INEXACT_ERROR if the rounding mode is kRoundUnnecessary. * @return true if the number should be rounded toward zero; false if it should be rounded toward * infinity. */ inline bool getRoundingDirection(bool isEven, bool isNegative, Section section, RoundingMode roundingMode, UErrorCode &status) { switch (roundingMode) { case RoundingMode::UNUM_ROUND_UP: // round away from zero return false; case RoundingMode::UNUM_ROUND_DOWN: // round toward zero return true; case RoundingMode::UNUM_ROUND_CEILING: // round toward positive infinity return isNegative; case RoundingMode::UNUM_ROUND_FLOOR: // round toward negative infinity return !isNegative; case RoundingMode::UNUM_ROUND_HALFUP: switch (section) { case SECTION_MIDPOINT: return false; case SECTION_LOWER: return true; case SECTION_UPPER: return false; default: break; } break; case RoundingMode::UNUM_ROUND_HALFDOWN: switch (section) { case SECTION_MIDPOINT: return true; case SECTION_LOWER: return true; case SECTION_UPPER: return false; default: break; } break; case RoundingMode::UNUM_ROUND_HALFEVEN: switch (section) { case SECTION_MIDPOINT: return isEven; case SECTION_LOWER: return true; case SECTION_UPPER: return false; default: break; } break; default: break; } status = U_FORMAT_INEXACT_ERROR; return false; } /** * Gets whether the given rounding mode's rounding boundary is at the midpoint. The rounding * boundary is the point at which a number switches from being rounded down to being rounded up. * For example, with rounding mode HALF_EVEN, HALF_UP, or HALF_DOWN, the rounding boundary is at * the midpoint, and this function would return true. However, for UP, DOWN, CEILING, and FLOOR, * the rounding boundary is at the "edge", and this function would return false. * * @param roundingMode The integer version of the {@link RoundingMode}. * @return true if rounding mode is HALF_EVEN, HALF_UP, or HALF_DOWN; false otherwise. */ inline bool roundsAtMidpoint(int roundingMode) { switch (roundingMode) { case RoundingMode::UNUM_ROUND_UP: case RoundingMode::UNUM_ROUND_DOWN: case RoundingMode::UNUM_ROUND_CEILING: case RoundingMode::UNUM_ROUND_FLOOR: return false; default: return true; } } /** * Computes the number of fraction digits in a double. Used for computing maxFrac for an increment. * Calls into the DoubleToStringConverter library to do so. * * @param singleDigit An output parameter; set to a number if that is the * only digit in the double, or -1 if there is more than one digit. */ digits_t doubleFractionLength(double input, int8_t* singleDigit); } // namespace roundingutils /** * Encapsulates a Precision and a RoundingMode and performs rounding on a DecimalQuantity. * * This class does not exist in Java: instead, the base Precision class is used. */ class RoundingImpl { public: RoundingImpl() = default; // default constructor: leaves object in undefined state RoundingImpl(const Precision& precision, UNumberFormatRoundingMode roundingMode, const CurrencyUnit& currency, UErrorCode& status); static RoundingImpl passThrough(); /** Required for ScientificFormatter */ bool isSignificantDigits() const; /** * Rounding endpoint used by Engineering and Compact notation. Chooses the most appropriate multiplier (magnitude * adjustment), applies the adjustment, rounds, and returns the chosen multiplier. * *

* In most cases, this is simple. However, when rounding the number causes it to cross a multiplier boundary, we * need to re-do the rounding. For example, to display 999,999 in Engineering notation with 2 sigfigs, first you * guess the multiplier to be -3. However, then you end up getting 1000E3, which is not the correct output. You then * change your multiplier to be -6, and you get 1.0E6, which is correct. * * @param input The quantity to process. * @param producer Function to call to return a multiplier based on a magnitude. * @return The number of orders of magnitude the input was adjusted by this method. */ int32_t chooseMultiplierAndApply(impl::DecimalQuantity &input, const impl::MultiplierProducer &producer, UErrorCode &status); void apply(impl::DecimalQuantity &value, UErrorCode &status) const; /** Version of {@link #apply} that obeys minInt constraints. Used for scientific notation compatibility mode. */ void apply(impl::DecimalQuantity &value, int32_t minInt, UErrorCode status); private: Precision fPrecision; UNumberFormatRoundingMode fRoundingMode; bool fPassThrough; }; } // namespace impl } // namespace number U_NAMESPACE_END #endif //__NUMBER_ROUNDINGUTILS_H__ #endif /* #if !UCONFIG_NO_FORMATTING */