Commons Math example source code file (fraction.xml)
The Commons Math fraction.xml source code
<?xml version="1.0"?> <!-- 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 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. --> <?xml-stylesheet type="text/xsl" href="./xdoc.xsl"?> <!-- $Revision: 759543 $ $Date: 2009-03-28 14:24:11 -0400 (Sat, 28 Mar 2009) $ --> <document url="stat.html"> <properties> <title>The Commons Math User Guide - Fractions </properties> <body> <section name="9 Fractions"> <subsection name="9.1 Overview" href="overview"> <p> The fraction packages provides a fraction number type as well as fraction number formatting. </p> </subsection> <subsection name="9.2 Fraction Numbers" href="fraction"> <p> <a href="../apidocs/org/apache/commons/math/fraction/Fraction.html"> org.apache.commons.math.fraction.Fraction</a> and <a href="../apidocs/org/apache/commons/math/fraction/BigFraction.html"> org.apache.commons.math.fraction.BigFraction</a> provide fraction number type that forms the basis for the fraction functionality found in commons-math. The former one can be used for fractions whose numerators and denominators are small enough to fit in an int (taking care of intermediate values) while the second class should be used when there is a risk the numerator and denominator grow very large. </p> <p> A fraction number, can be built from two integer arguments representing numerator and denominator or from a double which will be approximated: <source>Fraction f = new Fraction(1, 3); // 1 / 3 Fraction g = new Fraction(0.25); // 1 / 4</source> </p> <p> Of special note with fraction construction, when a fraction is created it is always reduced to lowest terms. </p> <p> The <code>Fraction class provides many unary and binary fraction operations. These operations provide the means to add, subtract, multiple and, divide fractions along with other functions similar to the real number functions found in <code>java.math.BigDecimal: <source>Fraction lhs = new Fraction(1, 3); Fraction rhs = new Fraction(2, 5); Fraction answer = lhs.add(rhs); // add two fractions answer = lhs.subtract(rhs); // subtract two fractions answer = lhs.abs(); // absolute value answer = lhs.reciprocal(); // reciprocal of lhs</source> </p> <p> Like fraction construction, for each of the fraction functions, the resulting fraction is reduced to lowest terms. </p> </subsection> <subsection name="9.3 Fraction Formatting and Parsing" href="formatting"> <p> <code>Fraction instances can be converted to and from strings using the<a href="../apidocs/org/apache/commons/math/fraction/FractionFormat.html"> org.apache.commons.math.fraction.FractionFormat</a> class. <code>FractionFormat is a
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