Problem 1854. Factorial: Unlimited Size : java.math

Created by Richard Zapor

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This challenge is an application 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 function multiply will be essential.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);
</pre><pre class="language-matlab">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: N [1&lt; N &lt; 1000]Output: Y (char variable of Y=N! or a BigDecimal variable)<a href = "http://www.nitrxgen.net/factorialcalc.php">Factorial Calculator</a>Related Challenges:<a href = "http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow">1. Usage of java math</a><pre class="language-matlab">2. nchoosek_large (full precision)
2. Next Prime
3. factor_large
4. Factorial
</pre>

This challenge is an application 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 function multiply will be essential.

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);
 
  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:* N [1< N < 1000]

*Output:* Y  (char variable of Y=N! or a BigDecimal variable)

<http://www.nitrxgen.net/factorialcalc.php Factorial Calculator>

*Related Challenges:*

<http://www.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow 1. Usage of java math>

2. nchoosek_large (full precision)
  2. Next Prime
  3. factor_large
  4. Factorial

Solve

Solution Stats

78 Solutions
35 Solvers

Last Solution submitted on May 21, 2022

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Solution 2719626

1 Comment

1 Comment

J.R.! Menzinger on 6 Aug 2021

Nice one!
I learned here on Cody about java.math on Matlab
see: https://de.mathworks.com/matlabcentral/cody/problems/1833-usage-of-java-math-add-multiply-pow/solutions/325609

but not about python!!

Thanks for teaching me! ;-)

Solution 315338

1 Comment

1 Comment

Richard Zapor on 5 Sep 2013

Solution 11 by Alfonso crushes Java performance with a time of 0.014s for 1000!. Best use of base.

Solution 315328

1 Comment

1 Comment

Alfonso Nieto-Castanon on 5 Sep 2013

longer code but considerably faster non-java solution (0.05s for 1000!)

Solution 314811

1 Comment

1 Comment

Richard Zapor on 4 Sep 2013

Solution 9 sees Alfonso step up and provide a concise method in the Best Factorial Solution in the Non-Java Category.

Solution 314706

3 Comments

3 Comments

James on 3 Sep 2013

We don't need no steenkin' Java. :-)

Richard Zapor on 3 Sep 2013

Solution 6 is an expertly crafted non-java solution. Complexity Level- Outstanding. Time for 1000! vs Java ?

James on 4 Sep 2013

The convolution method is considerably slower than Java, which is what you would expect. For the java vs. non-java solutions:

Java - Elapsed time is 0.138064 seconds.

This case - Elapsed time is 1.039240 seconds.

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Problem 1854. Factorial: Unlimited Size : java.math

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Problem 1854. Factorial: Unlimited Size : java.math

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