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

Created by Richard Zapor

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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>

This challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are <http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/Number.html Java Math>, <http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigDecimal.html Java BigDecimal>, and <http://docs.oracle.com/javase/1.5.0/docs/api/java/math/BigInteger.html Java BigInteger>.

The usage of BigDecimal functions add, multiply, and pow will be tested.

Java Math tutorial: (Simplified summary that is believed correct)

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
  
  To convert java to string of unlimited length can be achieved via java toString or Matlab char
  
  xstr=toString(xBD)  or xstr=char(xBD)

*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:*

1. nchoosek_large (full precision)
  2. Next Prime
  3. factor_large

4. <http://www.mathworks.com/matlabcentral/cody/problems/1854-factorial-unlimited-size-java-math Factorial>

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Last Solution submitted on Feb 11, 2023

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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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