Problem 1833. Usage of java.math : Add, Multiply, Pow

Created by Richard Zapor

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{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html\"><w:r><w:t>Java Math</w:t></w:r></w:hyperlink><w:r><w:t>,</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html\"><w:r><w:t>Java BigDecimal</w:t></w:r></w:hyperlink><w:r><w:t>, and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html\"><w:r><w:t>Java BigInteger</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The usage of BigDecimal functions add, multiply, and pow will be tested.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Java Math tutorial: (Simplified summary that is believed correct)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[vd-decimal value, vstr-string, vi-integer value \nxBD=java.math.BigDecimal(vd); % valid vd,vstr,vi creates xBD a BigDecimal variable\nimport java.math.*; % simplifies statements\nxBD=BigDecimal(vstr);\nx2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD\nxplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type\nxmultiplyzBD=xBD.multiply(BigDecimal(z)); % multiply input requires BD type\n\nTo convert java to string of unlimited length can be achieved via java toString or Matlab char\n\nxstr=toString(xBD) or xstr=char(xBD)]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Input:</w:t></w:r><w:r><w:t> X,Y, function_case [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Output:</w:t></w:r><w:r><w:t> z (char variable)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Future Challenges:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[1. nchoosek_large (full precision)\n2. Next Prime\n3. factor_large]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>4.</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math\"><w:r><w:t>Factorial</w:t></w:r></w:hyperlink></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

This challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are <a href = "http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html">Java Math</a>, <a href = "http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html">Java BigDecimal</a>, and <a href = "http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html">Java BigInteger</a>.The usage of BigDecimal functions add, multiply, and pow will be tested.Java Math tutorial: (Simplified summary that is believed correct)<pre class="language-matlab">vd-decimal value, vstr-string, vi-integer value 
xBD=java.math.BigDecimal(vd); % valid vd,vstr,vi creates xBD a BigDecimal variable
import java.math.*; % simplifies statements
xBD=BigDecimal(vstr);
x2pwrBD=xBD.pow(vi); % Invalid: vd,vstr,BD
xplusyBD=xBD.add(BigDecimal(y)); % add input requires BD type
xmultiplyzBD=xBD.multiply(BigDecimal(z)); % multiply input requires BD type
</pre><pre class="language-matlab">To convert java to string of unlimited length can be achieved via java toString or Matlab char
</pre><pre class="language-matlab">xstr=toString(xBD) or xstr=char(xBD) 
</pre>Input: X,Y, function_case [X,Y double or str, function 1:X+Y, 2:X*Y, 3: X^Y(double)Output: z (char variable)Future Challenges:<pre class="language-matlab">1. nchoosek_large (full precision)
2. Next Prime
3. factor_large
</pre>4. <a href = "http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math">Factorial</a>

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Last Solution submitted on Sep 04, 2020

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J.R.! Menzinger on 19 Aug 2013

Nice problem to learn the use of java inside Matlab.

Richard Zapor on 19 Aug 2013

BigInteger of doubles above 128 does odd things. BigInteger(num2str(v_dbl)) will work up to 2^53. I did not go into BigInteger limitations.

Richard Zapor on 21 Aug 2013

Usage of BigInteger will cause headaches. The Challenge is BigDecimal.

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Problem 1833. Usage of java.math : Add, Multiply, Pow

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Problem 1833. Usage of java.math : Add, Multiply, Pow

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