How to get biggest BigDecimal value
How can I get the largest possible value of a BigDecimal variable can hold? (Preferably programmatically, but hardcoding would be ok too)
EDIT
OK, just realized there is no suc开发者_StackOverflowh thing since BigDecimal is arbitrary precision. So I ended up with this, which is sufficiently big for my purpose:BigDecimal my = BigDecimal.valueOf(Double.MAX_VALUE)
Its an arbitrary precision class, it will get as large as you'd like until your computer runs out of memory.
Looking at the source BigDecimal stores it as a BigInteger with a radix,
private BigInteger intVal;
private int scale;
and from BigInteger
/** All integers are stored in 2's-complement form.
63: * If words == null, the ival is the value of this BigInteger.
64: * Otherwise, the first ival elements of words make the value
65: * of this BigInteger, stored in little-endian order, 2's-complement form. */
66: private transient int ival;
67: private transient int[] words;
So the Largest BigDecimal would be,
ival = Integer.MAX_VALUE;
words = new int[Integer.MAX_VALUE];
scale = 0;
You can figure out how to set that. :P
[Edit] So just to calculate that, In binary that's,
(2^35)-2 1's (I think?)
in 2's complement
01111111111111111...until your RAM fills up.
Given enough RAM, the value is approximately:
2240*10232
(It's definitely out by a few orders of magnitude but in relative terms it's a very precise estimate.)
You can represent 2^2147483647-1 however after this value some methods do not work as expected. It has 646456993 digits.
System.out.println(BigInteger.ONE.shiftLeft(Integer.MAX_VALUE)
.subtract(BigInteger.ONE).bitLength());
prints
2147483647
however
System.out.println(BigInteger.ONE.shiftLeft(Integer.MAX_VALUE).bitLength());
prints
-2147483648
as there is an overflow in the number of bits.
BigDecimal.MAX_VALUE is large enough that you shouldn't need to check for it.
You can store Integer.MAX_VALUE + 1 integers in the magnitude, because arrays count from zero. All those integers got 32 bits, because they're all handled unsigned. So the precision in bits is 32*2147483648 = 68719476736 Bits (=8589934592Byte=8GiB=8,6GB). To get the precision in Decimals, you'll have to multiply the precision in Bits with log10(2) so you'll get 20686623783 full decimal digits, way over 4 times more, than a String can store. Now you can pow 10 with this amount of digits and subtract 1 to get the maximal BigDecimal value, but don't try to calculate it with BigDecimal itself. ;)
But now the question is... What comes first? The method .precision(), which is limited to Integer.MAX_VALUE or my calculated precision?
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