Java example source code file (complex.xml)
The complex.xml Java example 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"?> <document url="stat.html"> <properties> <title>The Commons Math User Guide - Complex Numbers </properties> <body> <section name="7 Complex Numbers"> <subsection name="7.1 Overview" href="overview"> <p> The complex packages provides a complex number type as well as complex versions of common transcendental functions and complex number formatting. </p> </subsection> <subsection name="7.2 Complex Numbers" href="complex"> <p> <a href="../apidocs/org/apache/commons/math3/complex/Complex.html"> Complex</a> provides a complex number type that forms the basis for the complex functionality found in commons-math. </p> <p> Complex functions and arithmetic operations are implemented in commons-math by applying standard computational formulas and following the rules for <code>java.lang.Double arithmetic in handling infinite and <code>NaN values. No attempt is made to comply with ANSII/IEC C99x Annex G or any other standard for Complex arithmetic. See the class and method javadocs for the <a href="../apidocs/org/apache/commons/math3/complex/Complex.html"> Complex</a> and <a href="../apidocs/org/apache/commons/math3/complex/ComplexUtils.html"> ComplexUtils</a> classes for details on computing formulas. </p> <p> To create a complex number, simply call the constructor passing in two floating-point arguments, the first being the real part of the complex number and the second being the imaginary part: <source>Complex c = new Complex(1.0, 3.0); // 1 + 3i </p> <p> Complex numbers may also be created from polar representations using the <code>polar2Complex method in <code>ComplexUtils. </p> <p> The <code>Complex class provides basic unary and binary complex number operations. These operations provide the means to add, subtract, multiply and divide complex numbers along with other complex number functions similar to the real number functions found in <code>java.math.BigDecimal: <source>Complex lhs = new Complex(1.0, 3.0); Complex rhs = new Complex(2.0, 5.0); Complex answer = lhs.add(rhs); // add two complex numbers answer = lhs.subtract(rhs); // subtract two complex numbers answer = lhs.abs(); // absolute value answer = lhs.conjugate(rhs); // complex conjugate</source> </p> </subsection> <subsection name="7.3 Complex Transcendental Functions" href="function"> <p> <a href="../apidocs/org/apache/commons/math3/complex/Complex.html"> Complex</a> also provides implementations of serveral transcendental functions involving complex number arguments. These operations provide the means to compute the log, sine, tangent, and other complex values : <source>Complex first = new Complex(1.0, 3.0); Complex second = new Complex(2.0, 5.0); Complex answer = first.log(); // natural logarithm. answer = first.cos(); // cosine answer = first.pow(second); // first raised to the power of second</source> </p> </subsection> <subsection name="7.4 Complex Formatting and Parsing" href="formatting"> <p> <code>Complex instances can be converted to and from strings using the<a href="../apidocs/org/apache/commons/math3/complex/ComplexFormat.html"> ComplexFormat</a> class. <code>ComplexFormat is a
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