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JDBC Driver for the Firebird RDBMS
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/*
* Copyright (c) 2018 Firebird development team and individual contributors
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
package org.firebirdsql.extern.decimal;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.math.MathContext;
import java.math.RoundingMode;
import java.util.Arrays;
import static org.firebirdsql.extern.decimal.DenselyPackedDecimalCodec.BITS_PER_GROUP;
import static org.firebirdsql.extern.decimal.DenselyPackedDecimalCodec.DIGITS_PER_GROUP;
/**
* Constant values for the decimal 32, 64 and 128 formats.
*
* @author Mark Rotteveel
*/
enum DecimalFormat {
Decimal32(32, 7, MathContext.DECIMAL32),
Decimal64(64, 16, MathContext.DECIMAL64),
Decimal128(128, 34, MathContext.DECIMAL128);
private static final int SIGN_BITS = 1;
private static final int COMBINATION_BITS = 5;
final int formatBitLength;
final int formatByteLength;
final int coefficientDigits;
final int exponentContinuationBits;
final int coefficientContinuationBits;
final int eLimit;
private final int exponentBias;
private final BigInteger maxCoefficient;
private final BigInteger minCoefficient;
private final MathContext mathContext;
DecimalFormat(int formatBitLength, int coefficientDigits, MathContext mathContext) {
this.mathContext = mathContext;
assert formatBitLength > 0 && formatBitLength % 8 == 0;
this.formatBitLength = formatBitLength;
formatByteLength = formatBitLength / 8;
this.coefficientDigits = coefficientDigits;
coefficientContinuationBits = calculateCoefficientContinuationBits(coefficientDigits);
exponentContinuationBits = calculateExponentContinuationBits(formatBitLength, coefficientContinuationBits);
eLimit = calculateExponentLimit(exponentContinuationBits);
int eMin = -eLimit / 2;
// int eMax = -eMin + 1;
exponentBias = -eMin + coefficientDigits - 1;
char[] digits = new char[coefficientDigits];
Arrays.fill(digits, '9');
maxCoefficient = new BigInteger(new String(digits));
minCoefficient = maxCoefficient.negate();
}
final MathContext getMathContext() {
return mathContext;
}
/**
* Attempts to round the provided value to fit the requirements of this decimal format.
*
* The following steps are taken:
*
*
* - the value is rounded to the precision required
* - the value is rescaled to the scale boundaries if possible, for small values (out of range negative
* exponents) this may round to a value of zero
*
*
* The resulting value may still have a scale that is out of range for this decimal format,
* use {@link #isOutOfRange(BigDecimal)} after rounding to check if the value should be handled as
* {@code +/-Infinity} instead.
*
*
* @param value
* Big decimal value to round
* @return Big decimal value that may have been rounded to fit this decimal format, use
* {@link #isOutOfRange(BigDecimal)} to verify.
*/
final BigDecimal tryRound(BigDecimal value) {
final BigDecimal roundedToPrecision = value.round(mathContext);
final int scaleAdjustment = requiredScaleAdjustment(roundedToPrecision);
if (scaleAdjustment == 0) {
return roundedToPrecision;
}
if (scaleAdjustment < 0) {
return roundedToPrecision
.setScale(roundedToPrecision.scale() + scaleAdjustment, mathContext.getRoundingMode());
}
if (roundedToPrecision.compareTo(BigDecimal.ZERO) == 0
|| scaleAdjustment <= coefficientDigits - roundedToPrecision.precision()) {
return roundedToPrecision
.setScale(roundedToPrecision.scale() + scaleAdjustment, RoundingMode.UNNECESSARY);
}
return roundedToPrecision;
}
/**
* Validates if the precision and scale of the big decimal value fit the requirements of this decimal format.
*
* @param value
* Big decimal value
* @return value if validation succeeded
* @throws DecimalOverflowException
* If the precision of the value exceeds the maximum coefficient digits, or if the
* scale is out of range
*/
final BigDecimal validate(BigDecimal value) {
final int precision = value.precision();
if (precision > coefficientDigits) {
throw new DecimalOverflowException("Precision " + precision + " exceeds the maximum of "
+ coefficientDigits + " for this type");
}
if (requiredScaleAdjustment(value) != 0) {
throw new DecimalOverflowException("The scale " + value.scale() + " is out of range for this type");
}
return value;
}
/**
* Validates if the provided coefficient is in range for this decimal format.
*
* Implementation note: this method is only used for validation in {@code valueOfExact(BigInteger)} methods.
*
*
* @param coefficient
* Coefficient to check
* @return coefficient if validation succeeded
* @throws DecimalOverflowException
* If the coefficient is out of range
*/
final BigInteger validateCoefficient(BigInteger coefficient) {
if (maxCoefficient.compareTo(coefficient) < 0 || minCoefficient.compareTo(coefficient) > 0) {
throw new DecimalOverflowException("Value " + coefficient + " is out of range for this type "
+ "[" + minCoefficient + ", " + maxCoefficient + "]");
}
return coefficient;
}
/**
* Checks if the current precision or scale of the provided value is out of range for this decimal format.
*
* This method can be used to check if a big decimal should be handled as {@code +/-Infinity} after
* {@link #tryRound(BigDecimal)} has been applied.
*
*
* @param value
* Big decimal value
* @return {@code true} if {@code value} is out of range (precision or scale) for this decimal format
*/
final boolean isOutOfRange(BigDecimal value) {
return value.precision() > coefficientDigits || requiredScaleAdjustment(value) != 0;
}
/**
* Scale adjustment needed to make the supplied big decimal value fit this decimal format.
*
* @param value
* Big decimal value
* @return Scale adjustment (+/-), or {@code 0} if no adjustment is needed.
*/
private int requiredScaleAdjustment(BigDecimal value) {
int biasedExponent = biasedExponent(-value.scale());
if (biasedExponent >= 0) {
if (biasedExponent <= eLimit) {
return 0;
} else {
return biasedExponent - eLimit;
}
} else {
return biasedExponent;
}
}
final int biasedExponent(int unbiasedExponent) {
return unbiasedExponent + exponentBias;
}
final int unbiasedExponent(int biasedExponent) {
return biasedExponent - exponentBias;
}
/**
* Validates the format length.
*
* @param decBytes
* Decimal bytes
* @throws IllegalArgumentException
* If the byte array has the wrong length
*/
final void validateByteLength(byte[] decBytes) {
if (decBytes.length != formatByteLength) {
throw new IllegalArgumentException("decBytes argument must be " + formatByteLength + " bytes");
}
}
private static int calculateCoefficientContinuationBits(int coefficientDigits) {
return BITS_PER_GROUP * (coefficientDigits - 1) / DIGITS_PER_GROUP;
}
private static int calculateExponentContinuationBits(int formatBitLength, int coefficientContinuationBits) {
return formatBitLength - SIGN_BITS - COMBINATION_BITS - coefficientContinuationBits;
}
private static int calculateExponentLimit(int exponentContinuationBits) {
return 3 * (1 << exponentContinuationBits) - 1;
}
}
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