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

Created by Richard Zapor

Solve Later

{"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>

Solve

Solution Stats

104 Solutions
28 Solvers

Last Solution submitted on Dec 30, 2020

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

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.

Problem Recent Solvers28

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers28

Suggested Problems

More from this Author246

Problem Tags

Community Treasure Hunt

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers28

Suggested Problems

More from this Author246

Problem Tags

Community Treasure Hunt

Players