This challenge is an introduction to the wonderful word of java.math that allows unlimited precision calculations. The primary reference sites are Java Math, Java BigDecimal, and 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. Factorial
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Nice problem to learn the use of java inside Matlab.
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.
Usage of BigInteger will cause headaches. The Challenge is BigDecimal.