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Java library for fast fixed precision arithmetics based on longs with support for up to 18 decimal places.

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/**
 * The MIT License (MIT)
 *
 * Copyright (c) 2015 decimal4j (tools4j), Marco Terzer
 *
 * 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.decimal4j.scale;

import java.math.BigDecimal;
import java.math.BigInteger;
import java.math.RoundingMode;

import org.decimal4j.api.Decimal;
import org.decimal4j.api.DecimalArithmetic;
import org.decimal4j.truncate.TruncationPolicy;

/**
 * ScaleMetrics defines various metrics associated with the scale of a {@link Decimal} number. It is mainly
 * used internally from code implementing the arithmetic operations of a {@code Decimal}.
 * 

* The {@link #getScale() scale} determines the number of fraction digits of the {@code Decimal}. The * {@link #getScaleFactor() scale factor} is the multiplier/divisor for conversions between the {@code Decimal} value * and the unscaled {@code long} value underlying every {@code Decimal}. *

* Operations such as {@link #multiplyByScaleFactor(long) multiplyByScaleFactor(..)} are defined here as separate * methods to allow for compiler optimizations. Multiplications and divisions are for instance translated into shifts * and adds by the compiler instead of the more expensive multiplication and division operations with non-constant long * values. *

* {@code ScaleMetrics} also provides access to {@link DecimalArithmetic} instances for different rounding modes and * overflow policies. {@code DecimalArithmetic} objects can be used to deal with {@code Decimal} numbers in their * primitive form, meaning that {@code Decimal} numbers are passed to the arithmetic class as unscaled * {@code long} values. */ public interface ScaleMetrics { /** * Returns the scale, the number of fraction digits to the right of the decimal point of a {@link Decimal} value. * * @return the scale also known as number of fraction digits */ int getScale(); /** * Returns the scale factor, which is 10f where {@code f} stands for the {@link #getScale() scale}. * * @return the scale factor */ long getScaleFactor(); /** * Returns the {@link #getScaleFactor() scale factor} as a {@link BigInteger} value. * * @return the scale factor as big integer */ BigInteger getScaleFactorAsBigInteger(); /** * Returns the {@link #getScaleFactor() scale factor} as a {@link BigDecimal} value with scale zero. * * @return the scale factor as big decimal with scale zero. */ BigDecimal getScaleFactorAsBigDecimal(); /** * Returns the number of leading zeros of the scale factor * * @return {@link Long#numberOfLeadingZeros(long)} applied to the scale factor */ int getScaleFactorNumberOfLeadingZeros(); /** * Returns the largest integer value that can be represented using this scale. * * @return {@code Long.MAX_VALUE / scaleFactor} */ long getMaxIntegerValue(); /** * Returns the smallest integer value that can be represented using this scale. * * @return {@code Long.MIN_VALUE / scaleFactor} */ long getMinIntegerValue(); /** * Returns true if the specified integer {@code value} can be represented using this scale. * * @param value * the value to test * @return true if {@code (Long.MIN_VALUE / scaleFactor) <= value <= (Long.MAX_VALUE / scaleFactor)} */ boolean isValidIntegerValue(long value); /** * Returns {@code factor*scaleFactor}. * * @param factor * the factor * @return {@code factor*scaleFactor} */ long multiplyByScaleFactor(long factor); /** * Returns {@code factor*scaleFactor}, checking for lost information. If the result is out of the range of the * {@code long} type, then an {@code ArithmeticException} is thrown. * * @param factor * the factor * @return {@code factor*scaleFactor} * @throws ArithmeticException * if an overflow occurs */ long multiplyByScaleFactorExact(long factor); /** * Returns {@code factor*low32(scaleFactor)} where low32 refers to the low 32 bits of the factor. * * @param factor * the factor * @return {@code factor*low32(scaleFactor)} */ long mulloByScaleFactor(int factor); /** * Returns {@code factor*high32(scaleFactor)} where high32 refers to the high 32 bits of the factor. * * @param factor * the factor * @return {@code factor*high32(scaleFactor)} */ long mulhiByScaleFactor(int factor); /** * Returns {@code dividend/scaleFactor}. * * @param dividend * the dividend * @return {@code dividend/scaleFactor} */ long divideByScaleFactor(long dividend); /** * Returns {@code unsignedDividend/scaleFactor} using unsigned division. * * @param unsignedDividend * the unsigned dividend * @return {@code unsignedDividend/scaleFactor} */ long divideUnsignedByScaleFactor(long unsignedDividend); /** * Returns {@code dividend % scaleFactor} also known as reminder. * * @param dividend * the dividend * @return {@code dividend % scaleFactor} */ long moduloByScaleFactor(long dividend); /** * Returns the string representation of the specified {@code value} applying this metric's scale. * * @param value * the unscaled decimal to convert to a string * @return a fixed precision string representation of the specified value * @see DecimalArithmetic#toString(long) */ String toString(long value); /** * Returns the default arithmetic for this scale performing unchecked operations with rounding mode * {@link RoundingMode#HALF_UP HALF_UP}. * * @return default arithmetic for this scale rounding HALF_UP without overflow checks */ DecimalArithmetic getDefaultArithmetic(); /** * Returns the default arithmetic for this scale performing checked operations with rounding mode * {@link RoundingMode#HALF_UP HALF_UP}. * * @return default arithmetic for this scale rounding HALF_UP with overflow checks */ DecimalArithmetic getDefaultCheckedArithmetic(); /** * Returns the arithmetic for this scale performing unchecked operations with rounding mode {@link RoundingMode#DOWN * DOWN}. * * @return arithmetic for this scale rounding DOWN without overflow checks */ DecimalArithmetic getRoundingDownArithmetic(); /** * Returns the arithmetic for this scale performing unchecked operations with rounding mode * {@link RoundingMode#FLOOR FLOOR}. * * @return arithmetic for this scale rounding FLOOR without overflow checks */ DecimalArithmetic getRoundingFloorArithmetic(); /** * Returns the arithmetic for this scale performing unchecked operations with rounding mode * {@link RoundingMode#HALF_EVEN HALF_EVEN}. * * @return arithmetic for this scale rounding HALF_EVEN without overflow checks */ DecimalArithmetic getRoundingHalfEvenArithmetic(); /** * Returns the arithmetic for this scale performing unchecked operations with rounding mode * {@link RoundingMode#UNNECESSARY UNNECESSARY}. * * @return default arithmetic for this scale for rounding UNNECESSARY mode without overflow checks */ DecimalArithmetic getRoundingUnnecessaryArithmetic(); /** * Returns the arithmetic for this scale that performs all operations with the specified {@code roundingMode} and * without overflow checks. * * @param roundingMode * the rounding mode used by the returned arithmetic * @return arithmetic for this scale with specified rounding mode and without overflow checks */ DecimalArithmetic getArithmetic(RoundingMode roundingMode); /** * Returns the arithmetic for this scale that performs all operations with the specified {@code roundingMode} and * with overflow checks. * * @param roundingMode * the rounding mode used by the returned arithmetic * @return arithmetic for this scale with specified rounding mode and with overflow checks */ DecimalArithmetic getCheckedArithmetic(RoundingMode roundingMode); /** * Returns the arithmetic for this scale that performs all operations with the specified {@code truncationPolicy}. * * @param truncationPolicy * the truncation policy used by the returned arithmetic * @return arithmetic for this scale with specified truncation policy */ DecimalArithmetic getArithmetic(TruncationPolicy truncationPolicy); }





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