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/*
 *  Licensed to the Apache Software Foundation (ASF) under one
 *  or more contributor license agreements.  See the NOTICE file
 *  distributed with this work for additional information
 *  regarding copyright ownership.  The ASF licenses this file
 *  to you under the Apache License, Version 2.0 (the
 *  "License"); you may not use this file except in compliance
 *  with the License.  You may obtain a copy of the License at
 *
 *    http://www.apache.org/licenses/LICENSE-2.0
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package org.codehaus.groovy.runtime.typehandling;

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


/**
 * Stateless objects used to perform math on the various Number subclasses.
 * Instances are required so that polymorphic calls work properly, but each
 * subclass creates a singleton instance to minimize garbage.  All methods
 * must be thread-safe.
 * 
 * The design goals of this class are as follows:
 * 
    *
  1. Support a 'least surprising' math model to scripting language users. This * means that exact, or decimal math should be used for default calculations. This * scheme assumes that by default, groovy literals with decimal points are instantiated * as BigDecimal objects rather than binary floating points (Float, Double). *
  2. Do not force the appearance of exactness on a number that is by definition not * guaranteed to be exact. In particular this means that if an operand in a NumberMath * operation is a binary floating point number, ensure that the result remains a binary floating point * number (i.e. never automatically promote a binary floating point number to a BigDecimal). * This has the effect of preserving the expectations of binary floating point users and helps performance. *
  3. Provide an implementation that is as close as practical to the Java 1.5 BigDecimal math model * which implements precision based floating point decimal math (ANSI X3.274-1996 and * ANSI X3.274-1996/AM 1-2000 (section 7.4). *
* * @author Steve Goetze */ public abstract class NumberMath { public static Number abs(Number number) { return getMath(number).absImpl(number); } public static Number add(Number left, Number right) { return getMath(left, right).addImpl(left,right); } public static Number subtract(Number left, Number right) { return getMath(left,right).subtractImpl(left,right); } public static Number multiply(Number left, Number right) { return getMath(left,right).multiplyImpl(left,right); } public static Number divide(Number left, Number right) { return getMath(left,right).divideImpl(left,right); } public static int compareTo(Number left, Number right) { return getMath(left,right).compareToImpl(left, right); } public static Number or(Number left, Number right) { return getMath(left,right).orImpl(left, right); } public static Number and(Number left, Number right) { return getMath(left,right).andImpl(left, right); } public static Number xor(Number left, Number right) { return getMath(left,right).xorImpl(left, right); } public static Number intdiv(Number left, Number right) { return getMath(left,right).intdivImpl(left,right); } public static Number mod(Number left, Number right) { return getMath(left,right).modImpl(left, right); } /** * For this operation, consider the operands independently. Throw an exception if the right operand * (shift distance) is not an integral type. For the left operand (shift value) also require an integral * type, but do NOT promote from Integer to Long. This is consistent with Java, and makes sense for the * shift operators. */ public static Number leftShift(Number left, Number right) { if (isFloatingPoint(right) || isBigDecimal(right)) { throw new UnsupportedOperationException("Shift distance must be an integral type, but " + right + " (" + right.getClass().getName() + ") was supplied"); } return getMath(left).leftShiftImpl(left,right); } /** * For this operation, consider the operands independently. Throw an exception if the right operand * (shift distance) is not an integral type. For the left operand (shift value) also require an integral * type, but do NOT promote from Integer to Long. This is consistent with Java, and makes sense for the * shift operators. */ public static Number rightShift(Number left, Number right) { if (isFloatingPoint(right) || isBigDecimal(right)) { throw new UnsupportedOperationException("Shift distance must be an integral type, but " + right + " (" + right.getClass().getName() + ") was supplied"); } return getMath(left).rightShiftImpl(left,right); } /** * For this operation, consider the operands independently. Throw an exception if the right operand * (shift distance) is not an integral type. For the left operand (shift value) also require an integral * type, but do NOT promote from Integer to Long. This is consistent with Java, and makes sense for the * shift operators. */ public static Number rightShiftUnsigned(Number left, Number right) { if (isFloatingPoint(right) || isBigDecimal(right)) { throw new UnsupportedOperationException("Shift distance must be an integral type, but " + right + " (" + right.getClass().getName() + ") was supplied"); } return getMath(left).rightShiftUnsignedImpl(left,right); } public static Number bitwiseNegate(Number left) { return getMath(left).bitwiseNegateImpl(left); } public static Number unaryMinus(Number left) { return getMath(left).unaryMinusImpl(left); } public static Number unaryPlus(Number left) { return getMath(left).unaryPlusImpl(left); } public static boolean isFloatingPoint(Number number) { return number instanceof Double || number instanceof Float; } public static boolean isInteger(Number number) { return number instanceof Integer; } public static boolean isLong(Number number) { return number instanceof Long; } public static boolean isBigDecimal(Number number) { return number instanceof BigDecimal; } public static boolean isBigInteger(Number number) { return number instanceof BigInteger; } public static BigDecimal toBigDecimal(Number n) { return (n instanceof BigDecimal ? (BigDecimal) n : new BigDecimal(n.toString())); } public static BigInteger toBigInteger(Number n) { return (n instanceof BigInteger ? (BigInteger) n : new BigInteger(n.toString())); } /** * Determine which NumberMath instance to use, given the supplied operands. This method implements * the type promotion rules discussed in the documentation. Note that by the time this method is * called, any Byte, Character or Short operands will have been promoted to Integer. For reference, * here is the promotion matrix: * bD bI D F L I * bD bD bD D D bD bD * bI bD bI D D bI bI * D D D D D D D * F D D D D D D * L bD bI D D L L * I bD bI D D L I * * Note that for division, if either operand isFloatingPoint, the result will be floating. Otherwise, * the result is BigDecimal */ public static NumberMath getMath(Number left, Number right) { if (isFloatingPoint(left) || isFloatingPoint(right)) { return FloatingPointMath.INSTANCE; } if (isBigDecimal(left) || isBigDecimal(right)) { return BigDecimalMath.INSTANCE; } if (isBigInteger(left) || isBigInteger(right)) { return BigIntegerMath.INSTANCE; } if (isLong(left) || isLong(right)){ return LongMath.INSTANCE; } return IntegerMath.INSTANCE; } private static NumberMath getMath(Number number) { if (isLong(number)) { return LongMath.INSTANCE; } if (isFloatingPoint(number)) { return FloatingPointMath.INSTANCE; } if (isBigDecimal(number)) { return BigDecimalMath.INSTANCE; } if (isBigInteger(number)) { return BigIntegerMath.INSTANCE; } return IntegerMath.INSTANCE; } //Subclasses implement according to the type promotion hierarchy rules protected abstract Number absImpl(Number number); public abstract Number addImpl(Number left, Number right); public abstract Number subtractImpl(Number left, Number right); public abstract Number multiplyImpl(Number left, Number right); public abstract Number divideImpl(Number left, Number right); public abstract int compareToImpl(Number left, Number right); protected abstract Number unaryMinusImpl(Number left); protected abstract Number unaryPlusImpl(Number left); protected Number bitwiseNegateImpl(Number left) { throw createUnsupportedException("bitwiseNegate()", left); } protected Number orImpl(Number left, Number right) { throw createUnsupportedException("or()", left); } protected Number andImpl(Number left, Number right) { throw createUnsupportedException("and()", left); } protected Number xorImpl(Number left, Number right) { throw createUnsupportedException("xor()", left); } protected Number modImpl(Number left, Number right) { throw createUnsupportedException("mod()", left); } protected Number intdivImpl(Number left, Number right) { throw createUnsupportedException("intdiv()", left); } protected Number leftShiftImpl(Number left, Number right) { throw createUnsupportedException("leftShift()", left); } protected Number rightShiftImpl(Number left, Number right) { throw createUnsupportedException("rightShift()", left); } protected Number rightShiftUnsignedImpl(Number left, Number right) { throw createUnsupportedException("rightShiftUnsigned()", left); } protected UnsupportedOperationException createUnsupportedException(String operation, Number left) { return new UnsupportedOperationException("Cannot use " + operation + " on this number type: " + left.getClass().getName() + " with value: " + left); } }




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